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3 years ago

Write a question for this equation 3(2x-5)=24

Mathematics

1 answer:

densk [106]3 years ago

3 0

Answer:

Three times the difference of two times a number and five is equal to 24, what is x?

Step-by-step explanation:

To write any equation in word problems, it is important to identify all your parenthesis operations by their technical names. Subtraction is a difference. So since we are multiplying it by 3, it becomes three times a difference.

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Part of the graph of the function f(x) = (x + 4)(x – 6) is shown below. Which statements about the function are true? Select two

makvit [3.9K]

Answer:

The vertex of the function is at (1,–25)

The graph is negative on the entire interval -4 < x < 6

Step-by-step explanation:

we have

$f(x)=(x+4)(x-6)$

This is a vertical parabola open upward

The vertex is a minimum

using a graphing tool

see the attached figure

The vertex is the point (1,-25)

The x-intercepts or roots of the quadratic function are x=-4, x=6

The graph is increasing on the interval x > 1

The graph is decreasing on the interval x < 1

The graph is positive on two intervals ,where x < -4 and x > 6

The graph is negative on the entire interval -4 < x < 6

therefore

The statements that are true are

The vertex of the function is at (1,–25)

The graph is negative on the entire interval -4 < x < 6

9 0

4 years ago

Read 2 more answers

A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this prope

Liono4ka [1.6K]

Answer:

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be $x$ .

As per the given statement:

Square of the number ( $x^{2}$ ) is 84 more than five times of the number ( $5x+84$ ).

Writing in the equation form:

$x^{2} =5x+84$

To find:

All the numbers for which above equation holds true.

Solution:

$x^{2} =5x+84$

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of $x$ is 2) so it will have 2 solutions i.e. 2 values of $x$ for which the above equation will hold true.

$x^{2} -5x-84=0$

Let us factorize the equation.

$\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }$

So, the numbers for which the given property hold true are 12 and -7.

8 0

3 years ago

It takes Jill 2 hours to run 14.5 miles, At this rate, how far could she run in 3 hours? Btw, I am giving a lot of points if you

Tom [10]

Answer:

21.75

Step-by-step explanation:

To find how long she can run in a single mile, divide 14.5 by 2, giving you 7.25. If she runs three of those, (3 times 7.25), she runs 21.75 miles.

5 0

3 years ago

Read 2 more answers

If a number is added yo the numerator of 12/43 and twice the number is added to the denominator of 12/43 the resuliting fraction

DaniilM [7]

Answer:

The number is 7.

Step-by-step explanation:

In this case we have an unkown variable that is a number. We will call this number by "x", this is what we want to calculate. In the first part it is said that the number or x is added to the numerator and in the second part it is said that twice the number is added to the denominator, and that this fraction is equal to 1/3. So we have:

1/3 = (12 + x)/(43 + 2*x)

43 + 2*x = 3*(12 + x)

43 + 2*x = 36 + 3*x

43 - 36 = 3*x - 2*x

x = 7

The number is 7.

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!

scoundrel [369]

Answer:

the triangle is translated 2 units up, and is reflected across the x axis

Step-by-step explanation:

6 0

3 years ago