The function h(x) = x^2 - 1 has a negative average rate of change over the interval from x = -∞ to x = 0, which is where the parabola is decreasing toward its vertex at the origin.
Explanation:The student asked over which interval the function h(x) = x^2 - 1 has a negative average rate of change. The average rate of change is negative when the function is decreasing. In the case of h(x) = x^2 - 1, which is a parabola opening upwards, the function decreases as x moves from the left to the right towards the vertex. Therefore, the interval in which the function has a negative average rate of change is from x = -∞ to x = 0, because this is where the function values are falling. To find the average rate of change between two points x1 and x2, we can use the formula: (h(x2) - h(x1)) / (x2 - x1). If x1 is to the left of the y-axis (x1 < 0) and x2 is the y-axis (x2 = 0), we will get a negative result since h(x2) < h(x1) in that interval, showing a negative average rate of change.
The function h(x) = x^2 - 1 has a negative average rate of change over the interval − 3 ≤ x ≤ 1. This interval includes the vertex of the parabola at x = 0, where the function is decreasing, resulting in a negative rate of change.
The function h(x) = x2 - 1 has different average rates of change depending on the interval we are considering. To find an interval where the average rate of change is negative, we need to look at intervals where the function is decreasing. The function h(x) will be decreasing on any interval that includes the value x = 0 since this is where the vertex of the parabola represented by h(x) is located, and it is a parabola opening upwards.
Analyze intervals around x = 0 to find where the function decreases. Looking at Choice C (−3 ≤ x ≤ 1), we can calculate the average rate of change as:
[(h(1) - h(-3)) / (1 - (-3))] = [(12 - 1) - ((-3)2 - 1)] / (4) = [0 - (9 - 1)] / 4 = -8 / 4 = -2Since the average rate of change is negative (-2), Option C is the interval over which h(x) has a negative average rate of change.
the complete Question is given below:
h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does h hh have a negative average rate of change? Choose 1 answer: Choose 1 answer: (Choice A) A − 3 ≤ x ≤ 5 −3≤x≤5minus, 3, is less than or equal to, x, is less than or equal to, 5 (Choice B) B 1 ≤ x ≤ 4 1≤x≤41, is less than or equal to, x, is less than or equal to, 4 (Choice C) C − 3 ≤ x ≤ 1 −3≤x≤1minus, 3, is less than or equal to, x, is less than or equal to, 1 (Choice D) D − 1 ≤ x ≤ 5 −1≤x≤5minus, 1, is less than or equal to, x, is less than or equal to, 5 Show Calculator
1/3+1/4 I really don’t get this so can someone please help me with this problem
Answer:
7/12
Step-by-step explanation:
You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12
Enzo is making a scale drawing of the rectangle below. A rectangle has a length of 8 centimeters and width of 5 centimeters. Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct? Enzo is correct because he used a factor of 2 to enlarge the rectangle. Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension. Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.
Answer:
Enzo is not correct bc he did not multiply the length and width by the same factor
Hopes that helped:P
Answer:
the answer is d
Step-by-step explanation:
like this if you like anime
Simplify the expression. 28 + 18 ÷ 6 • (–3)
19 27 –23 –93
What is 35 divided by 3.14
The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today? A. 0.15x + 150 ≥ 450 B. 150 – 0.15x ≥ 450 C. 450 – 0.15x ≥ 150 D. 0.15x – 450 ≥ 15
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A
Step-by-step explanation:
The given is:
The computer store pays its employees $150 per day plus a commission of 15% of their salesTeagan wants to make at least $450 todayWe need to find which equation will help Teagan to determine how much he has to sell today
Assume that he has to sell by $x today
∵ The store pays $150 per day plus a commission of 15%
of their sales
∵ Teagan's total sales = x
- Multiply 15% by x, then add the product by 150
∴ Teagan makes = 15% × x + 150
∵ 15% × x = [tex]\frac{15}{100}[/tex] × x = 0.15 x
∴ Teagan makes = 0.15 x + 150
∵ Teagan wants to make at least $450 today
- At least means ≥
∴ Teagan makes ≥ 450
- Substitute Teagan makes by 0.15 x + 150
∴ 0.15 x + 150 ≥ 450
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today
Learn more:
You can learn more about the linear inequality in brainly.com/question/6703816
#LearnwithBrainly
Answer:
you mean A
Step-by-step explanation:
Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.
How many cookies did he bake on the second day?
Final answer:
To find the number of cookies Hans baked on the second day, we solve the equation x + 2x + x/2 = 224, where x is the number of cookies baked on the first day. Solving this, we find x=64, meaning he baked 128 cookies on the second day.
Explanation:
The question involves solving a problem about Hans, who spent three days baking a total of 224 cookies. On the second day, he baked twice as many cookies as on the first day, and on the third day, he baked half as many as on the first day. To find how many cookies he baked on the second day, let's denote the number of cookies baked on the first day as x.
On the second day, he baked 2x cookies.
On the third day, he baked x/2 cookies.
Adding these together: x + 2x + x/2 = 224.
Combining like terms, we get 3.5x = 224.
Dividing both sides by 3.5 gives x = 64.
Therefore, he baked 2x = 2*64 = 128 cookies on the second day.
Write the expression in complete factored form. 4a(x-9)-7(x-9)=
Answer:
[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]
Step-by-step explanation:
we have the expression
[tex]4a(x-9)-7(x-9)[/tex]
Factor the term (x-9)
so
[tex](x-9)[4a-7][/tex]
therefore
[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]
What is 0.5p - 3.45 = -1.2
Use what you know about decimals or fractions to explain why (0.2)⋅(0.002)=0.0004.
Answer:
you take 0.002 and multiply this by 0.2, to then get your answer of 0.0004
Step-by-step explanation:
Jared deposits $2 into his savings account every day for six weeks. Using the associate
Answer:
(2*7)*6 or 2*(7*6) = $84
Step-by-step explanation:
The associative property would always give the same value as an answer no matter the way of expression, once the expressions are right. So in this case,
Since has saves $2 every day and there are 7 days in a week,
2*7
and save this continously for 6 weeks.
(2*7)*6
This equals $84
OR
7 days in a week for 6 weeks
7*6
and saved $2 per day
2*(7*6)
This equals $84
Which of the following is an even function?
f(x) = |x|
f(x) = x3 – 1
f(x) = –3x
f (x) = RootIndex 3 StartRoot x EndRoot
Answer: f(x) = |x|
Step-by-step explanation:
A function is even if for every real N, f(N) = f(-N)
As you know, the module of a function always returns the positive value of a number, so I-3I = 3 = I3I (and that for every number)
So the function f(x) = IxI is an even function.
Functions with odd powers can not be even functions, so the second and tird options are discarded.
the fourth functions seems to be:
f(x) =∛x = (x)1/3 which is not even, because if x = 1, f(1) = 1, and if x=-1, f(-1) = -1
In the given functions, an even function is [tex]f(x)=|x|[/tex]. Therefore, the correct answer is option A.
A function's even, odd, or neither properties can be expressed algebraically or graphically in a variety of ways. If a function's graph remains unchanged when reflected in the y-axis, it is said to be an even function. Consider a function f(x) that is considered an even function if f(-x) equals f(x).
1) [tex]f(x)=|x|[/tex]
Let [tex]x = -3[/tex], we get
[tex]f(-3)=|-3|[/tex]
[tex]f(-3)=3[/tex]
[tex]f(-x)= f(x)[/tex]
2) [tex]f(x)=x^3-1[/tex]
Let [tex]x = -1[/tex], we get
[tex]f(-1)=(-1)^3-1[/tex]
[tex]f(-1)=-1-1[/tex]
[tex]f(-1)=-2[/tex]
[tex]f(-x)\neq f(x)[/tex]
3) [tex]f(x)=-3x[/tex]
Let [tex]x = -1[/tex], we get
[tex]f(-1)=-3(-1)[/tex]
[tex]f(-1)=3[/tex]
[tex]f(-x)\neq f(x)[/tex]
4) [tex]f(x)=\sqrt[3]{x}[/tex]
Let [tex]x = -1[/tex], we get
[tex]f(-1)=\sqrt[3]{(-1)}[/tex]
[tex]f(-x)\neq f(x)[/tex]
Therefore, the correct answer is option A.
Learn more about the even function here:
https://brainly.com/question/6391419.
#SPJ3
Rosa enlarged an image on the copy machine. The actual measurement was 3.6 inches by 6 inches. The enlarged version is 6 inches by another measurement. What is the length of the new image?
Answer:
10
Step-by-step explanation
6/3.6=1.6 or 1 2/3
1.6*6=10
Answer:Start by enlarging the picture 2 inches by 3 inches up to 150%. This leads to a 3 inch by 4.5 inch picture. Eduardo wants to enlarge the picture to 4 inches by 6 inches. 4/3 = 1.33 6/4.5= 1.33 Therefore, the two whole number percents are 150% and 133%.
solve y= 2/3x +7 and 3y= 2x -3
Answer:
The system has no solution
Step-by-step explanation:
we have
[tex]y=\frac{2}{3}x+7[/tex] ----> equation A
[tex]3y=2x-3[/tex]
Isolate the variable y
Divide by 3 both sides
[tex]y=\frac{2}{3}x-1[/tex] ------> equation B
Compare equation A and equation B
Both lines have the same slope and different y-intercept
so
Line A and Line B are parallel lines
The lines do not intersect
therefore
The system has no solution, because both lines are parallel
see the attached figure to better understand the problem
distributive property to simplify 64-16
Final answer:
The expression 64-16 simplifies to 48, and does not need the distributive property for simplification as it is a straightforward subtraction.
Explanation:
The question is asking to use the distributive property to simplify the expression 64-16. While this expression doesn't necessarily require the distributive property as it's a simple subtraction, sometimes in mathematics we leverage distributive properties or other algebraic rules to simplify or reorganize expressions. However, if we have a closer look at the provided reference information, none of it relates directly to the expression 64-16, which simplifies to 48. Therefore, there's no need to apply the distributive property here; the expression is already in its simplest form.
Which equation can be used to find 40 percent of 25?
Answer:
a=40% · 25
a=0.40 · 25
0.40 · 25= 10
a=10
Step-by-step explanation:
Answer:
Would be 25/10
Step-by-step explanation:
what is 1.498 divived by 30. plz show your work.
Answer:
[tex]0.0749[/tex]
Step-by-step explanation:
[tex]1.498/30[/tex]
To divide the form directly in fraction divide the numerator and denominator by a common number to simplify the values.
Simplifying the value
Removing the decimal in the numerator makes 1000 in denominator
[tex]\frac{1498}{30}*\frac{1}{1000}[/tex]
dividing by a common value i.e 2
[tex]\frac{749}{10}*\frac{1}{1000}[/tex]
Now, removing the decimals from denominator puts the decimal in the numerator gives [tex]0.0749[/tex]
Answer:
1.498 divided by 30 equals 749/15000 OR 0.04993
Step-by-step explanation:
Simply divide as you would a whole number, but place the decimal point above in your answer. So, your first step would be to calculate how many times 30 goes into 149. Your answer will go two places AFTER your decimal point. Then you continue to solve, as you would a whole number!
What is the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3?
Answer:
-10 + 9x - 8
Step-by-step explanation:
4x2 + 7x - 5 subtracted from
9x2 -2x + 3
8 + 7x - 5
18 - 2x + 3
(8-18) (+7x - -2x) (-5 - +3)
-10 ( +7x +2x) (-5-3)
-10 + 9x -8
The result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3 is found by adding the additive inverse of each term in the polynomial being subtracted. Result is: 5x2 - 9x + 8.
Explanation:Subtraction of Polynomials:
To find the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3, first remember that subtraction of polynomials is equivalent to adding the additive inverse of each term in the polynomial being subtracted.
The inverse of 4x2 is -4x2The inverse of 7x is -7x and,The inverse of -5 is +5So, 4x2 + 7x − 5 becomes -4x2 - 7x + 5. We then add this to 9x2 − 2x + 3 term by term.
The final result is: (9x2 + -4x2) + (-2x - 7x) + (3 + 5) = 5x2 - 9x + 8
Learn more about Subtraction of Polynomials here:https://brainly.com/question/32860813
#SPJ3
If 5n = 0,then what does 6n equal
Answer:0
Step-by-step explanation:
Because any multiples by 0 is 0
Answer:
0
Step-by-step explanation:
Since 5 x n = 0, n has to be 0 since you can’t multiply anything but 0 to get the result of 0. Hope this helped!
Write an equation in slope-intercept form with a slope of 1 and a y-intercept of (0, -7).
Answer:
y = x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 and c = - 7, thus
y = x - 7 ← equation of line
Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.
Answer:
I assume your asking who's is better and why?
Step-by-step explanation:
Ralph has stated that for 1 shirt it will cost
$7.50 + $10 shipping= $17.50
Frank says it's $10 a shirt no shipping
if you work out the cost of Ralph's up to 5 shirts using the equation
($7.50 x number of shirts ) + $10 shipping
with each equation replace number of shirts with the number 1,2,3,4 and 5
1 shirt will cost you $17.50
2 shirts will cost you $25.00
3 shirts will cost you $32.50
4 shirts will cost you $40.00
5 shirts will cost you $47.50
at Frank's shop
1 shirt will cost you $10
2 shirts will cost you $20
3 shirts will cost you $30
4 shirts will cost you $40
5 shirts will cost you $50
Frank's is better to buy no more than 4 shirts from as he's cheaper up to 4 shirts.
Ralph is cheaper for bigger orders with 5 or more shirts in them
The question deals with the comparison of the costs of buying T-shirts from Ralph’s company versus Frank’s company. The cost differs based on the number of T-shirts purchased and the associated shipping fees.
Explanation:The question is asking for a comparison between the two companies selling T-shirts and the associated costs. Ralph's company sells T-shirts for $7.50 each with an additional flat rate of $10 for shipping. In contrast, Frank's company sells T-shirts at a slightly higher price of $10 each but does not charge any shipping fees.
For example: If a customer wants to buy one T-shirt from each company, from Ralph’s company it would cost $7.50 (T-shirt price) + $10 (shipping fee) = $17.50. From Frank’s, it would cost $10 (T-shirt price) since shipping is free. So the cost would be different in both cases. However, if the customer opts to buy multiple t-shirts, the total cost might change depending on the number of t-shirts they decide to buy because of the fixed shipping cost on Ralph's side.
Learn more about Cost Comparison here:https://brainly.com/question/30388735
#SPJ3
two friends are taking an English class that has a monthly reading list once a student chooses a book from the list no other student can choose that book if there are three mystery and four romance books left what is the probability that both friend randomly selected romance book one after the other?
Answer:
To find the probability that both friends randomly select a romance book one after the other, we can use the concept of conditional probability.
Let's denote the events:
- Event A: First friend selects a romance book.
- Event B: Second friend selects a romance book.
Given that there are 4 romance books left and a total of 7 books left (3 mystery + 4 romance), the probability of Event A happening for the first friend is:
\[ P(A) = \frac{4}{7} \]
After the first friend selects a romance book, there are now 3 romance books left out of a total of 6 books remaining (since one book has been chosen). So, the probability of Event B happening for the second friend, given that the first friend selected a romance book, is:
\[ P(B|A) = \frac{3}{6} = \frac{1}{2} \]
Now, to find the probability of both events happening, we multiply their probabilities:
\[ P(A \text{ and } B) = P(A) \times P(B|A) \]
\[ P(A \text{ and } B) = \frac{4}{7} \times \frac{1}{2} \]
\[ P(A \text{ and } B) = \frac{4}{14} \]
\[ P(A \text{ and } B) = \frac{2}{7} \]
So, the probability that both friends randomly select a romance book one after the other is \( \frac{2}{7} \).
Andre had lots of Halloween cand. He ate the same amount of candy each day. After 10 days he had 115
pieces. After 18 days he had 43 pieces. How many will he have after 22 days?
Answer:
he had 343 pieces of candy after 22 days
Step-by-step explanation:
You can find this by first divide 10/ 115 this is equal to 15.5 to find how many candies he eats per day. Then you multiply 15.5 by 22(days) to find this answer .
Andre eats 9 pieces of candy per day. After 18 days, he had 43 pieces. By calculating his daily consumption, we can deduce that after 22 days, Andre will have 7 pieces of candy left.
The question asks us to determine how many pieces of candy Andre will have after 22 days, given the information on how many he had after 10 and 18 days.
First, let's find out how much candy Andre eats each day. After 10 days, he had 115 pieces, and after 18 days, he had 43 pieces.
Calculate the difference in the number of days: 18 - 10 = 8 days.Calculate the difference in the amount of candy: 115 - 43 = 72 pieces.Divide the candy difference by the days' difference to find out how much candy he eats daily: 72 pieces / 8 days = 9 pieces/day.Find out how many days are between day 18 and day 22: 22 - 18 = 4 days.Calculate the amount of candy Andre will eat in 4 days: 9 pieces/dayTherefore, Andre will have 7 pieces of candy left after 22 days.
PLZ HELP!!! I need the answer by tomorrow. I will give points cuz I don't know how to mark the brainliest.
Answer:
U'(-5, -2), V'(-3, -1), W'(-3, 3), Z'(-5, 6).
Plot these points. Then connect them to form trapezoid U'V'W'Z'.
A tank is 5/8 filled with water. When the metal cube is placed in the tank, it is 3/4 full. Use the guess, check, revise strategy to find the dimensions of the cube.
The cube has the dimensions of:
[tex]1.26m \ by \ 1.26m \ by \ 1.26m[/tex]
Explanation:A cube is a prism whose sides all have the same length. So the dimension of this cube will be given by one of its sides. For any object that is submerged in water, the volume of the displacement liquid equals the volume of the object.
[tex]For \ any \ cube \ the \ volume \ in \ terms \ of \ one \ side \ (s) \ is: \\ \\ V=s^3[/tex]
Suppose the volume of the tank when full is [tex]16m^3[/tex], so if it is 5/8 filled with water, then:
[tex]V_{5/8}=\frac{5}{8}(16) \\ \\ V_{5/8}=10m^3[/tex]
When the metal cube is placed in the tank, it is 3/4 full:
[tex]V_{3/4}=\frac{3}{4}(16) \\ \\ V_{3/4}=12m^3[/tex]
So the difference between these two volumes is the displacement volumen that equals the volume of the cube:
[tex]V=V_{3/4}-V_{5/8} \\ \\ V=12-10 \\ \\ V=2m^3[/tex]
So, the side of the cube is:
[tex]s=\sqrt[3]{2} \\ \\ \boxed{s\approx 1.26m}[/tex]
Learn more:Volume of a sphere: https://brainly.com/question/12503759
#LearnWithBrainly
Reid and Maria both play soccer. This season Reid scores 4 less than twice the number of goals that Maria scored the difference in the number of goals they scored was 6 how many goals did each of them score.
Answer: Reid scored 1 and Maria scored 5.
Step-by-step explanation:
5 x 2 = 10
10-4= 6
5 + 1 = 6
Circle assignment! THANKS so much its worth so much of my grade
Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= [tex]2\pi r[/tex]
Area of circle= [tex]\pi r^{2}[/tex]
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= [tex]2\times 3.14\times 4= 25.12\ cm[/tex]
Area= [tex]3.14\times 4^{2} = 50.24\ cm^{2}[/tex]
Solving for Figure B
Circumference= [tex]2\times 3.14\times 6= 31.4\ cm[/tex]
Area= [tex]3.14\times 5^{2} = 78.5\ cm^{2}[/tex]
Solving for Figure C
Circumference= [tex]2\times 3.14\times 6= 37.68\ cm[/tex]
Area= [tex]3.14\times 6^{2} = 113.04\ cm^{2}[/tex]
Solving for Figure D
Circumference= [tex]2\times 3.14\times 7= 43.96\ cm[/tex]
Area= [tex]3.14\times 7^{2} = 153.86\ cm^{2}[/tex]
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
What
percent of 150 is 225?
To determine what percent 225 is of 150, the calculation (225 / 150) × 100% is used, resulting in 225 being 150% of 150.
Explanation:To find what percent of 150 is 225, we can use the formula for calculating percents:
Percentage = (Part / Whole) × 100%
Where 'Part' is 225 and 'Whole' is 150. Now, let's calculate:
Percentage = (225 / 150) × 100%
Percentage = 1.5 × 100%
Percentage = 150%. So, 225 is 150% of 150.
helpppppppppppppppppp
Answer:
[tex]13 \frac{1}{8} + 21 \frac{3}{4} = 13 \frac{1}{8} + 21 \frac{6}{8} = 34 \frac{7}{8} [/tex]
[tex]35 \frac{1}{2} - 34 \frac{7}{8} = 35 \frac{4}{8} - 34 \frac{7}{8} = 34 \frac{12}{8} - 34 \frac{7}{8} = \frac{5}{8} [/tex]
The correct answer is C.
On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left. How many did he have on Monday?
Answer:
He have 17 CDs on Monday.
Step-by-step explanation:
Given:
On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left.
Now, to find the CDs he have on Monday.
Let the CDs he have on Monday be [tex]x.[/tex]
So, on Tuesday as James bought 7 CDs:
[tex]x+7.[/tex]
Now, on Wednesday half of all the CDs that he had were destroyed:
[tex]\frac{x+7}{2}[/tex]
As, given on Thursday he had left CDs = 12.
According to question:
[tex]\frac{x+7}{2}[/tex] [tex]=12[/tex]
Multiplying both sides by 2 we get:
[tex]x+7=24[/tex]
Subtracting both sides by 7 we get:
[tex]x=17.[/tex]
Therefore, he have 17 CDs on Monday.
Will has 40 state quarters if 3/5 of his quarters are dated 2005 what is the value of the quarters from 2005?
Will has 24 quarters from 2005, which means the total value of these quarters equals to $6.
Explanation:Will has 40 state quarters in total. If 3/5 of them are from 2005, this simply means that you need to find 3/5 of 40. So, we multiply 40 by 3/5:
40 * 3/5 = 24.
So, Will has 24 quarters from the year 2005.
Next, to find the value of these quarters, remember that each quarter is worth 25 cents (or $0.25 in dollar form). Therefore, we multiply the number of quarters (24) by the value of each quarter (.25):
24 * 0.25 = $6.
So, the total value of the quarters from 2005 is $6.
Learn more about Proportional Reasoning here:https://brainly.com/question/28001172
#SPJ12