The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).
Step-by-step explanation:
To find the factors of the equation,
1) Multiply the coefficient of the [tex]x^2[/tex] and the constant value.
⇒3×(-6)= -18.
2) Now find two numbers that can result is in -18 while multiplying and 7 (middle term or coefficient of x) while adding.
⇒9 × (-2) = -18.
9+(-2)= 7.
Now spit the equation as[tex]3x^2+9x-2x-6[/tex].
=[tex](3x^2+9x)-(2x-6)[/tex].
=3x(x+3) - 2(x+3).
=(x+3)(3x-2). (by taking out the common term x+3)
∴ The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).
you and four of your nine classmates received an A on your math test. what is the simplest fraction of students that scored an A on the test?
Answer:
5/9
Step-by-step explanation:
what is the answer?
Answer: It’s A
Step-by-step explanation:
If you reflect over the y axis your point changes
PLZZZZ HELP ASAP! Identify the LIKE terms and constants, if any, in the following expression: 8x - 3y + 5x - 2 *
Answer:
8x and 5x are like terms and the constant is 2 because it is by itself.
Step-by-step explanation:
Hope my answer has helped you and if not I am sorry.
What is the measure of angle b?
36 degrees
63 degrees
117 degrees
56 degrees
Answer: 36 degrees
Step-by-step explanation:
The angle a is 63 degrees because 177 and a are supplementary and equal 180 degrees. Because there are 180 degrees in a triangle, 63+ 81 is 144. 36 and 144 is 180, therefore b is equal to 36.
Hope this helped!
An exterior angle of a triangle equals the sum of its opposite interiors.
The measure of b is 36 degrees
To calculate angle b, we use the following equation
[tex]b + 81 = 117[/tex] ------- because b and 81 are opposite interior angles to 117
Solving further, we have:
[tex]b = 117 - 81[/tex]
Evaluate like terms
[tex]b = 36^o[/tex]
Hence, the measure of b is 36 degrees
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what is (-100)a×56 and thanks
Linear equations
Y=6x-3
Y=4x-1
Answer:
x = 1 y = 3
Step-by-step explanation:
6x - 3 + 3 = 4x - 1 + 3
6x - 4x = 4x - 4x + 2
2x = 2 ÷ 2
x = 1
y = 6x - 3
y = 6 (1) - 3
y = 6 - 3
y = 3
which expression is equivalent to 2(2x+1)+3x+3
Answer:
9x+6
Step-by-step explanation:
3 x 2= 6x 3 x 1= 3
6x + 3 + 3x + 3
6x + 3x = 9x
3 + 3 =6
Which graph represents this equation -3x + 4y = 12
Find the area of the figure. If needed, round to the nearest tenth.
Isosceles trapezoid
7ft
6
ft
14 t
a. 63 sq.ft
b. 27 sq.ft
49 sq.ft
d. 126 sq.ft
Answer:
63 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where a and b are the parallel bases and h the perpendicular height
Here a = 7, b = 14 and h = 6, thus
A = [tex]\frac{1}{2}[/tex] × 6 × (7 + 14) = 3 × 21 = 63 ft²
Terri brought 1.74 meters of rope. Gracie brought 1.64 meters of rope. Who brought more rope
Answer: Terri brought 10 more centimeters of rope than Gracie.
Step-by-step explanation:
What is the coefficient of the first
degree term?
The Coefficient of the first-degree term is called as Leading coefficients.
Step-by-step explanation:
Usually, the coefficient is said to be the numerical value which is in product with the variable in the equation or expression. The variable with no number means its Coefficient is considered as 1.The first-degree term is meant to be the term that is multiple with the higher power in the exponential.They can be positive or negative. But the term with the higher power is usually written first in an equation.So in that equation, the first term is called as a leading term and it has the variables which are in multiple with the leading term it is called as leading coefficients.A rectangle has vertices at (0,0),(3,0) and (0,6). What is the area of the rectangle
Area of the rectangle is 18 units.
Step-by-step explanation:
The distance between the points (0,0) and (0,6) gives the length of the rectangle.The distance between the points (0,0) and (0,3) gives the width of the rectangle.Area of the rectangle = length[tex]\times[/tex]width
Substitute length = 6 units and width = 3 units.Area of the rectangle = 6[tex]\times[/tex]3 = 18 units. Earl hates taking out the garbage and he hates washing the dishes, so he decides to make a deal
with his parents: He will flip a coin once for each chore and will perform the chore if the coin lands on
heads. What he doesn't know is that his parents are going to use a weighted coin that lands on heads
80% of the time!
Answer:
The question is incomplete. The complete question is shown below
1. What is the probability that Earl will have to do both chores?
Ans. (0.8 * 0.8 = 0.64)
2. What is the probability that Earl will have to take out the garbage but will not need to wash the dishes
Ans.( 0.8 * 0.2 = 0.16)
Step-by-step explanation:
1. The probability that Earl will have to do the chores is 0.8
Therefore the probability that Earl will have to do both chores is 0.8 * 0.8 = 0.64
2.The probability that Earl will have to take out the garbage but not need to wash the dishes
0.8 * 0.2 = 0.16
What is the y-intercept of the line perpendicular to the line y = _~x+ 5 that includes the point (-3, -3)?
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
For lines to be perpendicular, their slopes have to be negative reciprocals of each other. [basically changing the sign (+/-) and flipping the fraction/or switching the numerator and the denominator]
For example:
m = 2 or [tex]\frac{2}{1}[/tex]
Perpendicular line's slope = [tex]-\frac{1}{2}[/tex]
m = [tex]-\frac{1}{4}[/tex]
Perpendicular line's slope = [tex]\frac{4}{1}[/tex] or 4
Since you know the slope of the line is:
y = -3/4x + 5
m = [tex]-\frac{3}{4}[/tex]
The perpendicular line's slope is [tex]\frac{4}{3}[/tex], so plug it into the equation
y = mx + b
[tex]y=\frac{4}{3} x+b[/tex] To find b, plug in the point (-3, -3) into the equation
[tex]-3=\frac{4}{3} (-3)+b[/tex]
-3 = -4 + b Add 4 on both sides to get "b" by itself
1 = b
The y-intercept is 1
Write an equation (in y-form) or the line that is parallel to y = -3x + 1 and contains (4, 2)
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal. A line parallel to[tex]y = -3x + 1[/tex], will have the same slope -3. Thus, the equation will be of the form:
[tex]y = -3x + b[/tex]
We substitute the given point and find "b":
[tex]2=-3(4)+b\\2=-12+b\\2+12=b\\b=14[/tex]
Finally, the equation is:
[tex]y = -3x + 14[/tex]
Answer:
[tex]y = -3x + 14[/tex]
Find the sum and difference of 147, 167 and 204, 107.
To find the sum, add the numbers together. To find the difference, subtract the smaller numbers from the larger numbers.
Explanation:To find the sum of 147, 167, 204, and 107, simply add the numbers together:
147 + 167 + 204 + 107 = 625
To find the difference, subtract the smaller numbers from the larger numbers:
204 - 147 = 57
167 - 107 = 60
Therefore, the sum is 625 and the differences are 57 and 60.
if conditional is true and it’s_____ is true, then the conclusion is true
Answer:
hypothesis
Step-by-step explanation:
The statement "if p, then q" is a conditional statement.
p----->is the hypothesis
q----->is the conclusion
This conditional is true if it's hypothesis true and the conclusion is true.
This is just one out three situations for which the conditional is true.
What is the slope of line b?
1/2
2
-2
-1/2
m=rise/run. so it is also going to the right so it is going to be positive do the rise is one and the run is two. That way m=1/2.
11. Evaluate f (x)=- x + 2 for f( – 5) and f(1).
Answer:
-3 and positive 3
Step-by-step explanation:
Answer:
7 and 1
Step-by-step explanation:
To evaluate f(- 5) substitute x = - 5 into f(x)
f(- 5) = - (- 5) + 2 = 5 + 2 = 7
Similarly for f(1)
f(1) = - 1 + 2 = 1
Cindy bought a new lamp for $40.00. She later saw the lamp on sale for 25% less than what she had originally paid. What was the lamp selling for the second time she saw it?
Answer: $30
Step-by-step explanation:
The lamp was selling for $30 which is 25% less than what Cindy bought.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Cindy bought a new lamp for $40.00.
She later saw the lamp on sale for 25% less than what she had originally paid.
∴ The discounted price of the lamp is 75% of the price for which Cindy bought which is,
= (75/100)×40.
= $30.00
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Bobby has a piece of rope measuring 4 yards. How many 1-inch strips can be cut from the rope?
Answer:
144
Step-by-step explanation:
Step 1: Convert 4 yards into feet
1 yard = 3 feet
4 * 3 = 12 feet
Step 2: Convert 12 feet into inches
1 foot = 12 inches
12 * 12 = 144 inches
Answer: Bobby can cut 144 1-inch strips.
Answer:
144
Step-by-step explanation:
All you would need to know is that there is 36 inches in one yard and then you would just multiply the 36 by four to make the four yards total
When simplified, the expression (x Superscript one-eighth Baseline) (x Superscript three-eighths Basleline) is 12. Which is a possible value of x?
6
24
144
256
Step-by-step explanation:
We have,
[tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]
To find, the possible value of x = ?
∴ [tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]
⇒ [tex]x^{\dfrac{1}{8}+\dfrac{3}{8}}=12[/tex]
Using the exponential identity,
[tex]a^{m} a^{n} =a^{m+n}[/tex]
⇒ [tex]x^{\dfrac{1+3}{8}}=12[/tex]
⇒ [tex]x^{\dfrac{4}{8}}=12[/tex]
⇒ [tex]x^{\dfrac{1}{2}}=12[/tex]
Squaring both sides, we get
[tex](x^{\dfrac{1}{2}})^2=(12)^2[/tex]
⇒ [tex]x^{{\dfrac{1}{2}}\times2}=144[/tex]
⇒ x = 144
∴ The possible value of x = 144
Thus, the required 'option C) 144' is correct.
Answer:
144
Step-by-step explanation:
A hybrid car can drive 53 miles in the city on l gallon of gas.
How many gallons of gas will it use to drive a total of 371 city.mil
Enter the correct answer in the box.
gallons
Answer:
7 gallons of gas
Step-by-step explanation:
because the car can drive 53 miles on 1 gallon and your trying to find the amount of gallons needed for 371 miles you would divide 371 by 53 and you get 7.
Final answer:
To find out how many gallons of gas are used to drive 371 miles in a hybrid car with a fuel economy of 53 miles per gallon, divide 371 by 53, resulting in 7 gallons of gas needed.
Explanation:
To determine how many gallons of gas a hybrid car will use to drive a total of 371 city miles when the car can drive 53 miles on 1 gallon of gas, you can set up a simple division problem. The formula to calculate gallons used is:
Total miles driven ÷ Miles per gallon = Gallons of gas used
In this case, we divide 371 miles by 53 miles per gallon to find the total gallons of gas used:
371 miles ÷ 53 miles/gallon = 7 gallons
So, the hybrid car will use 7 gallons of gas to drive 371 city miles.
-5(x - 1) greater than -40
Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
A company rents two storage units .both units are cube shaped. What is the difference in volume of the two storage units? Note that the volume of acutely is s3, where a is the side length. Explain
Answer:
is there possibly a photo of the two storage units?
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
How to find the difference in volume of the two storage unitsTo find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.
Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:
Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.
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16. Ramiro has $21. He wants to buy a skateboard that costs $47. How much
more money does he need to have at least $47? Write an inequality that
represents the situation. Solve the inequality and graph your solution.
really need help ASAP!
Answer:
x>26
Step-by-step explanation:
Subtract 47 from 21.
Now that you have 26, that is the least amount needed because in the question it says "at least". (The inequality sign is suppose to be greater than or equal to)
Answer:
The answer is x>26
Step-by-step explanation:
to graph this inequality you would have to put an open circle on 26 and go right.
Simplify: Log3 27 = x can anybody help me with this?? Thank you!!
Answer:3
Step-by-step explanation:
3 ^x= 27
X=3
43. Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Answer: $299.75
Step-by-step explanation:
what is (7,8.5) reflected over the y-axis
Answer:
(-7,8.5)
Step-by-step explanation:
On a reflection off the y-axis, the x value gets negated. So 7 would become -7.
What is the sum of 2/5 and 1/3
Answer:11/15
Step-by-step explanation:
Most common denominator is 15 multiply 2/5 by 3 and 1/3 by 5 and that’s what you get