9 stores is 3% Of how Many stores

Answers

Answer 1

Answer: 27 stores, you just multiply them in this case

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Eight Bluefin tuna comprise 5% of the total tuna catch. How many tuna were caught in total?

Answers

5% means 0.05

0.05 of the catch = 8 tuna

Divide each side by 0.05 :

the catch = 8 tuna / 0.05 = 160 tuna

5% x
100 8 Cross multiply and divide = .4

8* 5% = .4

8* .05 = .4

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in slope-intercept form.

Answers

Answer:

y = –3x – 6

Step-by-step explanation:

We'll begin by obtaining the slope of the equation y = –3x – 2.

This can be obtained by comparing

y = –3x – 2 with y = mx + c

Thus, the slope (m) of the equation

y = –3x – 2 is –3.

Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.

This is illustrated below:

For parallel lines, the slope are related as follow:

m1 = m2

m1 = –3

m2 = m1 = –3.

Finally, we shall determine the equation as follow:

Coordinate = (–3, –3)

x1 coordinate = –3

y1 coordinate = –3

Slope (m) = –3

y –y1 = m(x – x1)

y – (–3) = –3 (x – (–3))

y + 3 = –3 (x + 3)

y + 3 = –3x – 3

Rearrange

y = –3x – 3 – 3

y = –3x – 6

Thus, the equation parallel to the line is y = –3x – 6

Find the missing endpoint given one endpoint and midpoint
endpoint-(6,-10) midpoint (-1,2)

Answers

$endpoint: \ ( x_(2),y_(2))= (6,-10) , \n midpoint : \(x,y)=(-1,2) \n\nMindpoint \ Formula : \n (x,y)=\left ( (x_(1)+x_(2) )/(2), \frac{y_ {1}+y_(2) }{2} \right )\n\n(-1,2)=\left ( (x_(1)+ 6 )/(2), \frac{y_ {1}-10 }{2} \right )$

$\begin{cases} (x_(1)+ 6 )/(2)= -1 \ \ /\cdot 2 \n \frac{y_ {1}-10 }{2} =2 \ \ / \cdot 2 \end{cases}\n\n\begin{cases} x_(1)+ 6 =-2 \n y_ {1}-10 =4 \end{cases}\n \n\begin{cases} x_(1) =-2-6 \n y_ {1} =4+10 \end{cases}\n \n\begin{cases} x_(1) =-8\n y_ {1} =14 \end{cases} \n \nAnswer : \ second \ endpoint : \ (x_(1),y_(1))=(-8,14)$

Find the zeros of the following polynomial.
3x3 + 9x2 - 12x

Answers

x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

If you factor 3x from the expression, you have

$3x^3+9x^2-12x=3x(x^2+3x-4)$

So, we have

$3x(x^2+3x-4)=0 \iff 3x=0\lor x^2+3x-4=0$

We easily have

$3x=0\iff x=0$

So, one solution is x=0.

The other solutions depend on the quadratic equation:

$x^2+3x-4=0 \iff x=-4 \lor x=1$

So, the solutions are $x=-4,\ 0,\ 1$

Evaluate f(-7). f(x) = 3x2
a.-441
b.-147
c.78
d.147

Answers

the answer is option d. 147

The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap. The total fencing material required to fence the playground and both flower beds is

Answers

Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a
1 rectangular play ground = 2l + 2w

total fencing material = 8a + 2l + 2w

The total fencing material required to surround the playground and flower bedswill be 8a + 2l + 2w.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The boundary of a park is shaped like a circle.

The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground.

The length of the playground is l and its width is w.

The length of each side of the flower beds is a.

The total fencing material required to surround the playground and flower bedswill be

P = 2(perimeter of square) + perimeter of rectangle

Then the perimeter of the square will be

⇒ 4a

Then the perimeter of the rectangle will be

⇒ 2(l + w)

Then we have

P = 2 × 4a + 2(l + w)

P = 8a + 2l + 2w

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ5

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