Answer:
The values of x are
[tex]x=-\sqrt{7} , x=\sqrt{7}[/tex]
Step-by-step explanation:
we have
[tex]6x^{2}-42=0[/tex]
Solve for x
Adds 42 both sides
[tex]6x^{2}-42+42=0+42[/tex]
[tex]6x^{2}=42[/tex]
Divide by 6 both sides
[tex]6x^{2}/6=42/6[/tex]
simplify
[tex]x^2=7[/tex]
square root both sides
[tex]x=\pm\sqrt{7}[/tex]
therefore
The values of x are
[tex]x=-\sqrt{7} , x=\sqrt{7}[/tex]
The exact solution for the values of x in the given equation are: +√7 and -√7.
What are the exact values of x in the equation?From the task content; it follows that the given equation is; 6x² - 42 = 0.
On this note, the evaluation for the values of x can be done as follows;
6x² - 42 = 0
6x² = 42
x² = 7
x = ±√7.
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8x+4(4x-3)=4(6x+4)-4
Answer:
x = 24
Step-by-step explanation:
8x + 4(4x - 3) = 4(6x + 4) - 4
8x + 16x - 12 = 24x + 16 - 4
24x - 12 = 24x + 12
24x = 24x + 12 + 12
24x = 24x + 24
24x/24x = 24
x = 24
Angle1 and Angle2 are vertical angles. If Angle1 = (7x-17) and Angle2 = (4x+40), find angle 2
I need the answer asap!!
Yo sup??
since the two angles are vertically opposite angles therefore they must be equal
7x-17=4x+40
3x=57
x=19
Angle2=4x+40
=116
Hope this helps.
2(4x-9)=14 simplify your answer as much as possible
What is 125% of 88?
Answer:
110 is 125% of 88
Step-by-step explanation:
125% is the same as 125/100
Set this 125/100 equal to x/88
125/100 = x/88
Cross-Multiply (Numerator * Denominator = Numerator * Denominator)
125(88) = 100(x)
11,000 = 100x
Divide both sides of the equation by 100
110 = x
110 is 125% of 88
Hope this helps :)
Answer: x = 110
Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.
What means x, is means equals, 125% is 125/100, of means times, 250.
So we have the equation [tex]x = \frac{125}{100} (88)[/tex].
Simplifying on the right side of the equation, notice that 125/100 reduces to 5/4 so we have x = 5/4 · 88.
Think of the 88 as 88/1.
So we can cross cancel the 88 and 4 to 22 and 1.
So we have x = 5 · 22 over 1 · 1 or x = 110.
Suppose that 22 inches of wire costs 88 cents.
At the same rate, how much (in cents) will 41 inches of wire cost?
cents
A pipe of length 1/2 yd is cut into 5 equal pieces. What is the length of each piece in yards?
The length of each piece is 0.1 yard.
Step-by-step explanation:
The length of the pipe is [tex]\frac{1}{2}[/tex] yard.
The pipe is cut into 5 equal pieces.
We have to find the length of the each piece.
The length of the each piece is calculated by dividing the pipe's initial length(L) by the the number of pieces(N).
Length of the each piece = [tex]\frac{L}{N}[/tex].
=[tex]\frac{\frac{1}{2}}{5}[/tex]. ( 5 is also written as [tex]\frac{5}{1}[/tex] ⇒ [tex]\frac{\frac{1}{2} }{\frac{5}{1} }[/tex].)
=[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex].
= [tex]\frac{1}{10}[/tex].
= 0.1 yard.
Length of the each piece = 0.1 yard.
4p2-p=0 how do you solve this
combine you like terms
4p and -p = 3p
3p+2=0
subtracts 2 from itself and 0
3p=-2
divide 3p from itself and -2
p=-2/3
Final answer: [tex]4p^2[/tex]- p = 0, factor out the greatest common factor (p) and solve for p by setting each factor equal to zero. The solutions are p = 0 and p = 1/4.
Explanation:
To solve the quadratic equation [tex]4p^2[/tex] - p = 0, we can use the factoring method or the quadratic formula. In this case, factoring is convenient:
First, factor out the greatest common factor, which is p:p(4p - 1) = 0Then, set each factor equal to zero and solve for p:p = 0 or 4p - 1 = 0When 4p - 1 = 0, solving for p gives us p = 1/4.Therefore, the solutions to the equation are p = 0 and p = 1/4.
3 = 3/2 ( 7x + 10 )
Answer:
x = -1.142857
Step-by-step explanation:
Start by distributing the 3/2 in the parentheses.
3 = 10.5x + 15
Next, get the variables on one side. There are a few way to do this, the easiest being to subtract 15 from both sides.
-12 = 10.5x
Now you need to get the variable alone. Do this by dividing both sides by 10.5.
-1.142857 = x
Hope this helps you out.
If 3 out of every 5 students in Mr.Pringles math class prefers pepperoni pizza topping how many of his 110 students would you expect to prefer pepperoni topping?
Answer:
Therefore out of Mr. Pringles 110 students we can expect the number that would prefer pepperoni pizza topping would be 66 students.
Step-by-step explanation:
If 3 out of every 5 students in Mr.Pringles math class prefers pepperoni pizza topping then the probability of a randomly selected student in Mr. Pringles prefers pepperoni pizza is [tex]\frac{3}{5} = 0.6[/tex].
Therefore out of Mr. Pringles 110 students we can expect the number that would prefer pepperoni pizza topping would be = 0.6 [tex]\times[/tex] 110 = 66 students.
9+6 (10-7x)
Please ♥️♥️I really need it answer n you get 5 coins
Answer:
x = 23/14
Step-by-step explanation:
Step 1: Distribute
9 + 6(10 - 7x)
9 + 6(10) + 6(-7x)
9 + 60 - 42x
69 - 42x
Step 2: Solve for x
Subtract 69 from both sides: 69 - 42x - 69 = 0 - 69
Divide both sides by -42: -42x / -42= -69 / -42
Simplify: x = 23/14
A man purchased a magazine at the airport for $ 2.89 . The tax on the purchase was $ 0.18 .What is the tax rate at the airport? Round to the nearest percent.
The tax rate is __%. (Round to the nearest percent as needed.)
The tax rate is 6 %
Solution:
Given that, A man purchased a magazine at the airport for $ 2.89
The tax on the purchase was $ 0.18
To find: tax rate in percentage
From given,
Magazine price = 2.89
Tax amount = 0.18
Therefore, tax percent is given as:
Let "x" be the tax percent
x % of magazine price = tax amount
x % of 2.89 = 0.18
Solve the equation for "x"
[tex]x \% \times 2.89 = 0.18\\\\\frac{x}{100} \times 2.89 = 0.18\\\\2.89x = 0.18 \times 100\\\\2.89x = 18\\\\Divide\ both\ sides\ by\ 2.89\\\\x = 6.22 \approx 6[/tex]
Thus tax rate is 6 %
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed. y ≥ 0 y < x x + y < 6
Answer:
see below
Step-by-step explanation:
The graph of the first inequality is the half-plane above and including the x-axs.
The graph of the second inequality will be the half-plane below the dashed line y = x.
The graph of the third inequality will be the half-plane below the dashed line y = 6 -x.
So, the solution space will be a triangle above the x-axis and below the two (dashed) lines that cross at (x, y) = (3, 3).
Answer:
I think, from what sqdancefan explained, the graph is this one..
Question 7 of 33
1 Point
What is the measure of the angle of intersection when AB is the perpendicular
bisector of xy?
Answer:
90°.
Step-by-step explanation:
When two straight lines intersects obliquely then there will be two angle of intersection, one angle is acute and the other one is obtuse.
But, here the two straight lines AB and xy intersects perpendicularly and AB bisects xy.
Therefore, the two angle of intersection are 90° each.
Hence, the angle of intersection in our case will be equal to 90°. (Answer)
Answer:90 degrees
Step-by-step explanation:
Last year Luis read 187 books. This year he read 224 books. Next year he wants to read 285 books. If Luis reaches his goal , how many books will Luis have read
Answer:
Luis would have read 696 books if he reaches his reading goal for the next year.
Step-by-step explanation:
we know that
If Luis reaches his goal, to find out how many books Luis will have read, add up the number of books he read last year plus the number of books he read this year plus the number of books he wants to read next year
so
[tex]187+224+285=696\ books[/tex]
Final answer:
When Luis reaches his goal next year, he will have read a total of 696 books.
Explanation:
Luis's book reading progression:
Last year: 187 booksThis year: 224 booksNext year (goal): 285 booksTo find out how many books Luis will have read if he meets his goal next year, add the total number of books read over the years:
187 (last year) + 224 (this year) + 285 (next year) = 696 books
Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)? Negative 4 minus 12 x Negative 4 + 2 x 4 minus 12 x 4 + 12 x
The expression that is equivalent to -6 (-[tex]\frac{2}{3}[/tex] + 2x) is option C - 4 - 12x.
To simplify the expression -6 (-[tex]\frac{2}{3}[/tex] + 2x) distribute the -6 to each term inside the parentheses:
-6 (-[tex]\frac{2}{3}[/tex] + 2x) = (-6 × -[tex]\frac{2}{3}[/tex]) + (-6 × 2x)
Now multiply the terms inside each bracket and simplify:
(-6 × -[tex]\frac{2}{3}[/tex]) + (-6 × 2x) = (-6 × -[tex]\frac{2}{3}[/tex]) - 12x
= 4 - 12x
The question is:
Which expression is equivalent to -6 (-[tex]\frac{2}{3}[/tex] + 2x)?
A. -4 - 12x
B. -4 + 2x
C. 4 - 12x
D. 4 + 12x
Geno withdrew $50 from his savings account. If he now has no more than $425 in his savings account, how much money did Geno have originally?
solve the inequality
The money with Geno originally is not more than $ 475
Solution:
Given that,
Geno withdrew $50 from his savings account
If he now has no more than $425 in his savings account
To find: Money had by geno originally
Let "x" be the money with Geno originally
From given,
He withdrew $ 50 from "x"
Then we can say,
[tex]x - 50\leq 425[/tex]
Here, we used "less than or equal " because he now has no more than $425 in his savings account
Solve the inequality
Add 50 to both sides
[tex]x - 50 + 50 \leq 425 + 50\\\\x\leq 425 + 50\\\\x\leq 475[/tex]
Thus the money with Geno originally is not more than $ 475
Write an algebraic expression for the following word phrase the quotient of 38 and x
Answer:
38/x
Step-by-step explanation:
quotient is / (division)
just fill in the slots
__ / __
38 / __
38 / x
The algebraic expression for the phrase 'the quotient of 38 and x' is
38 ÷ x.
The word phrase "the quotient of 38 and x" can be translated into an algebraic expression as follows:
"The quotient" refers to division, so we will use the division symbol (÷).
"38" represents the numerator of the quotient, the number that is being divided.
"x" represents the denominator of the quotient, the number by which we are dividing.
Therefore, the algebraic expression for "the quotient of 38 and x" is:
38 ÷ x
In this expression, 38 is divided by x, and the result of this division is the value of the expression.
Depending on the value of x, the result will change accordingly.
If x were equal to 2, for example, then the expression would evaluate to 38 ÷ 2 = 19. If x were equal to 5, the expression would evaluate to 38 ÷ 5 = 7.6, and so on.
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HELP PLEASE
The area of a rectangle is 4w - 10 square units.
Factor this expression.
Given your answer in part A, describe what you can conclude about the dimensions of the rectangle in two or more complete sentences.
Answer:
Dimension is the square root of 4w-10
Step-by-step explanation:
The length=Breadth=√4w-10
Final answer:
The expression for the area of the rectangle, 4w - 10, can be factored as 2(2w - 5). This implies that one of the rectangle's dimensions could be 2 units and the other could be a linear expression of 2w - 5 units.
Explanation:
To factor the expression 4w - 10 square units, we can find the greatest common factor (GCF) of the two terms. The GCF of 4w and 10 is 2, so we can factor out 2 from the expression:
4w - 10 = 2(2w - 5)
Given the factored form, we can conclude something about the dimensions of the rectangle. The factored expression, 2(2w - 5), suggests that one dimension of the rectangle could be 2 units, and the other is a linear expression of width, specifically 2w - 5 units. This aligns with the area formula for rectangles, A = length × width, where one dimension is considered the length and the other the width for calculation purposes.
Questions are on the paper please help!
Answer:
1: 110 degrees / Opposite angles theorem
2: 70 degrees / Supplementary angles -> 110 + ___ = 180 -> ___ = 70
3: 38 degrees / Supplementary angles -> 142 + ___ = 180 -> ___ = 38
4: 142 degrees / Opposite angles theorem
5: 38 degrees / Supplementary angles -> 142 + ___ = 180 -> ___ = 38
6: 142 degrees
7: 142 degrees / Opposite angles theorem
8: 38 degrees / Supplementary angles -> 142 + ___ = 180 -> ___ = 38
9: I cant see
10: 137 degrees / Opposite angles theorem
11: 43 degrees / Supplementary angles -> 137 + ___ = 180 -> ___ = 43
12: I cant see
13: 43 degrees / Supplementary angles -> 137 + ___ = 180 -> ___ = 43
14: 137 degrees
-2(4 - 3x) + (5x - 2)
Answer:
= 11x-10
Step-by-step explanation:
here are the steps
Answer:
-6+11x
Step-by-step explanation:
distribute -2 to the parenthsis:
-2*4=-8, -2*-3x=6x
next simplify (5x-2) to 5x+2
-8+6x+5x+2
then combine x terms and non-x terms to get -6+11x
Joey calculated that the circumference of the steering wheel in his car is 43.96 inches what is the steering wheel’s diameter
Answer:
Therefore,
The steering wheel’s diameter is 14 inches.
Step-by-step explanation:
Given:
Circumference of Steering Wheel ,
C = 43.96 inches
pi = 3.14
To Find:
Diameter = d = ?
Solution:
The Formula for Circumference is given as,
[tex]Circumference = \pi\times Diameter[/tex]
Substituting the values we get
[tex]C=\pi\times d\\43.96=3.14\times d\\d=\dfrac{43.96}{3.14}=14\ inches[/tex]
Therefore,
The steering wheel’s diameter is 14 inches.
When you have the circumference of a circle and need to find the diameter, you can use the formula Diameter = Circumference / π. Using this formula, Joey's steering wheel, with a circumference of 43.96 inches, would have a diameter of approximately 14 inches.
Explanation:To find the diameter of a circle when you know the circumference, use the formula Circumference = π * Diameter. Circumference is the given 43.96 inches.
So, you can rearrange the formula to find the diameter: Diameter = Circumference / π.
Substituting the given values, we have Diameter = 43.96 inches / 3.14. This gives approximately 14 inches as the diameter of the steering wheel in Joey's car.
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A box of printer paper cost $25 each. Your school purchased 9 boxes of paper for $225. Which equation uses the distributive property to show that your school spent $225 on 9 boxes of paper? A) 9 x 25 = 225 B) 225 ÷ 25 = 9 C) 9 × (20 + 5) = 225 D) 25 + 25 + 25 + 25 + 25 + 25 + 25 + 25 + 25 = 225
Answer:
Step-by-step explanation:
Answer:
C) 9 × (20 + 5) = 225
Step-by-step explanation:
The answer is c
9 x (20 + 5 )
9x20 + 9x5
180 + 45 = 225
what is value of (4g+h)(8)? G(x)= x+7; h(x)= (x-3)^2
Answer:
85
Step-by-step explanation:
hello :
if : g(x)= x+7; h(x)= (x-3)² so : (4g+h)(x)=4g(x)+h(x) = 4(x+7)+(x-3)²
(4g+h)(8)= 4(8+7)+(8-3)² = 60+25=85
8-inch boxes are stacked next to 6-inch boxes. What is the lowest height at which the two stacks will be the same height?
Answer:
The lowest height at which the two stacks will be the same height is 24 inches.
Step-by-step explanation:
For answering this problem, we have to find out the lowest common multiple of 6 and 8, listing its prime factors, this way:
6 = 3 * 2
8 = 2 * 2 * 2
Now, we multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Therefore, we have:
2 : 3 times as prime factor of 8
3: 1 time as prime factor of 6
The lowest common multiple is:
2 * 2 * 2 * 3 = 24
The lowest height at which the two stacks will be the same height is 24 inches.
The lowest height at which these stacks will be the same is 24 inches.
To find the lowest height at which an 8-inch box stack and a 6-inch box stack will be the same, we need to determine the least common multiple (LCM) of their heights. The method involves finding the smallest common multiple between the two heights.
List the multiples of each height:Multiples of 8: 8, 16, 24, 32, 40, 48...Multiples of 6: 6, 12, 18, 24, 30, 36...2.Identify the smallest common multiple:
Both lists have 24 as the first common multiple.Therefore, the lowest height at which the two stacks of boxes will be the same is 24 inches.
Which graph represents f(x)=6cos(4πx) ?
Answer:
The graph representing f(x)=6cos(4πx) is shown in the attached file.
Step-by-step explanation:
The graph representing f(x)=6cos(4πx) is shown in the attached file.
Answer:
Correct answer below
Step-by-step explanation:
K12 quiz :)
The ordered pair (a,b) satisfies the inequality y>x+10. Which statement is true?
The ordered pair (a, b) satisfies the inequality y > x + 10 if the point lies above the line y = x + 10.
Explanation:To determine which statement is true for the inequality y > x + 10, we need to understand the graph of this inequality. The graph of y > x + 10 represents all the points above the line y = x + 10. Since the inequality does not have an equals sign, the line itself is not included in the solution.
In this case, the line y = x + 10 has a slope of 1 and a y-intercept of 10. By comparing the equation of the line to the inequality, we can see that the line separates the coordinate plane into two regions: the region above the line and the region below the line.
The ordered pair (a, b) will satisfy the inequality y > x + 10 if the point lies above the line y = x + 10. Therefore, the correct statement is that The ordered pair (a, b) lies above the line y = x + 10.
The true statement based on the inequality b > a + 3 is:
C. b is greater than a .
Given that the ordered pair a, b satisfies the inequality y > x + 3, we can substitute a for x and b for y. This means that:
[ b > a + 3 ]
We need to determine which statement is true based on this inequality. Let's evaluate each option:
A. If you add 3 to b , it will equal a
This implies:
[ b + 3 = a ]
From b > a + 3 , it is clear that b is greater than a + 3 , so adding 3 to b will not equal a . Thus, this statement is false.
B. a is greater than b
This implies:
[ a > b ]
From b > a + 3 , it is clear that b is greater than a plus an additional 3, so a is not greater than b . Thus, this statement is false.
C. b is greater than a
This implies:
[ b > a ]
From b > a + 3 , it is clear that b is indeed greater than a by more than 3. Thus, this statement is true.
D. If you subtract 3 from b , it will equal a
This implies:
[ b - 3 = a ]
From b > a + 3 , subtracting 3 from b will still be greater than a , so this equation will not hold. Thus, this statement is false.
Conclusion:
The true statement based on the inequality b > a + 3 is:
C. b is greater than a .
Complete question
The ordered pair (a,b) satisfies the inequality y>x+3. Which statement is true?
A.if you add 3 to b , it will equal a
B. a is greater than b
C. b is greater than a
D. If you subtract 3 from b, it will equal a
How old is the 7th person that walked in?
Answer:
Step-by-step explanation: 70
35 + 45 = 70
Just add the Average of 6 people to 35
The figure shows the 50 - foot side of a house and a proposed rectangular garden to be fences in on 3 sides.
The 3 sides, a,b, and x will be made of 40 feet of fencing.
Which of the following is an expression for a in terms of x?
A. 2x+40
B. 2x-40
C. 40-2x
D. 40-x+x
What is the area, in square feet, for the garden if 40 feet of fencing are used and x=15?
Option C 40-2 x
150 square feet
Step-by-step explanation:
Step 1 :
Given that the 3 sides, a,b, and x will be made of 40 feet of fencing,
we have a + b + x = 40
Since this is a rectangular garden , b= x
substituting b= x, we have a + x + x = 40
=> a+2 x = 40
=> a= 40-2 x
Step 2 :
To find the area in square feet,
when x = 15, a = 40 - 2 * 15 = 40-30 = 10 feet
The length and breadth of the rectangular garden are therefore 5 and 10 feet respectively
Hence, the area of the garden = length * breadth = 15 * 10 = 150 square feet
What is the slope between the points (0,-3) and
(-6, 7)?
Answer:
-5/3
Step-by-step explanation:
when looking at an equation how do you know if it is a function?