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3 years ago

X/-2=-7 evaluate and show work

Mathematics

2 answers:

egoroff_w [7]3 years ago

7 0

Answer:

10x.............

Step-by-step explanation:

or x=10

castortr0y [4]3 years ago

3 0

Answer:

x = 14

Step-by-step explanation:

Okay so the equation looks like this:

X/-2 = -7

In order for us to get rid of the -2 we are going to have to multiply -2 on both sides of the equal sign, so that we only have x on one side of the equal sign and numbers on the other:

X/-2 = -7

*-2 *-2

since multiplying or dividing a negative number by a negative number gives you a positive -7 is going to become 14 and x remains on the other side of the equal sign:

x = 14

Now to check our work we are going to place 14 where the x variable is in the equation:

X/-2 = -7 or (14)/-2 = -7

-7 = -7

Hope this helps you!!

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Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

Question 1 of 9

dimaraw [331]

Answer:

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6

The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so

y = (x - 2)(x - 6) ← expand using Foil

y = x² - 8x + 12 → B

3 0

3 years ago

In 2015 a publishing company ordered 50,000 reams of paper. The next year they ordered 65,000 reams of paper. By what percent di

nordsb [41]

Answer:

33.3333...

Step-by-step explanation:

50000 ÷ 15000, which is the increase = 0.3333333

Times by 100 for percent

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3 years ago

ABCD Is a rectangle that represents a park.

Andru [333]

Answer:

Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = $\sqrt{50^{2}+80^{2} }$ = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = $\frac{15}{2}$ = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = $\frac{47.123}{2}$ = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

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yKpoI14uk [10]

Answer:

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