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3 years ago

-9x=-36 what is the answer

Mathematics

1 answer:

12345 [234]3 years ago

8 0

-9x=-36

divide both sides by -9

to get x by itself

to get +x

-9x/-9= -36/-9

cross out -9 and -9, then becomes -1*-1*x= x

x= -36/-9

answer:

x= 4

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A company recently downsized its number of employees by 30%. If there are still 70 employees, how many employees were there pr

wolverine [178]

Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.

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1 year ago

The coordinates of points A

Svetllana [295]

Answer:

Distance=13.60

Step-by-step explanation:

The Distance between the two points in coordinate system is find by using the distance formula.

If two points $(x_1,y_1)$ and $(x_2,y_2)$ are given:

$Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For the points:

$(-7, 5)\\ and \\(4, -3)$

$Distance=\sqrt{(4-(-7))^2+(-3-5)^2}\\\\ =\sqrt{(4+7)^2+(-8)^2} \\\\=\sqrt{11^2+(-8)^2} \\\\=\sqrt{121+64}\\\\ =\sqrt{185}\\\\ =13.60$

The distance between the points is 13.60

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2 years ago

If f and t are both even functions, is the product ft even? If f and t are both odd functions, is ft odd? What if f is even and

Natali5045456 [20]

Answer:

(a) If f and t are both even functions, product ft is even.

(b) If f and t are both odd functions, product ft is even.

Step-by-step explanation:

Even function: A function g(x) is called an even function if

$g(-x)=g(x)$

Odd function: A function g(x) is called an odd function if

$g(-x)=-g(x)$

(a)

Let f and t are both even functions, then

$f(-x)=f(x)$

$t(-x)=t(x)$

The product of both functions is

$ft(x)=f(x)t(x)$

$ft(-x)=f(-x)t(-x)$

$ft(-x)=f(x)t(x)$

$ft(-x)=ft(x)$

The function ft is even function.

(b)

Let f and t are both odd functions, then

$f(-x)=-f(x)$

$t(-x)=-t(x)$

The product of both functions is

$ft(x)=f(x)t(x)$

$ft(-x)=f(-x)t(-x)$

$ft(-x)=[-f(x)][-t(x)]$

$ft(-x)=ft(x)$

The function ft is even function.

(c)

Let f is even and t odd function, then

$f(-x)=f(x)$

$t(-x)=-t(x)$

The product of both functions is

$ft(x)=f(x)t(x)$

$ft(-x)=f(-x)t(-x)$

$ft(-x)=[f(x)][-t(x)]$

$ft(-x)=-ft(x)$

The function ft is odd function.

7 0

2 years ago

Q2.

Nimfa-mama [501]

Answer:

see below

Step-by-step explanation:

A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}

----------------

(i) List down the elements of A’ and B’

{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets

----------

(ii) Are sets A - B and B - A equal sets?

A-B= {9, 11, 13}

B-A= {2, 4, 6, 16, 18}

These are not equal as we can see

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(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations

A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets

A∩B= {8, 10, 12, 14} - intersection only includes common elements

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3 years ago

The number of counties in state a and the number of counties in state b are consecutive even integers whose sum is 86. If state

Savatey [412]

Answer:

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2 years ago