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4 years ago

9

Write an equation that has a solution of 7, includes a variable, and uses multiplication. Write a real-world problem that you co

uld represent with your equation. Then, show how you know that 7 is the solution in sentence form.

1 answer:

zmey [24]4 years ago

5 0

It = 555 6666 hi what

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A countries population in 1991 was 231 million in 1999 it was 233

AleksandrR [38]

The answer is:A = 231e^(.0010776*12) = 234 million in 2003
k=(In(233/231))/(8)
<span>k=1.00865/8 <===== you used the ratio of 233/321, not the natural log of the ratio. </span>

<span>233/231 = 1.00865 </span>
<span>ln(233/231) = ln(1.00865) = 0.0086207 </span>
<span>k = 0.0086207/8 = 0.0010776 </span>

3 0

4 years ago

Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain

Igoryamba

Answer:

Monica is not correct.

Step-by-step explanation:

First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)

8 0

3 years ago

Find the slope of the line through the given points.(-4,7) and (-1,-3)Is the slope increasing or decreasing?

galina1969 [7]

• The following formula can be used to find the slope of a line:

$m=\frac{y_2-y_1}{x_2-x_1}$

These points are on the line:

$(x_1,y_1);(x_2,y_2)$

Given the following points:

$\mleft(-4,7\mright);(-1,-3)$

Then, you can set up that:

$\begin{gathered} y_2=-3_{} \\ y_1=7 \\ x_2=-1 \\ x_1=-4 \end{gathered}$

Therefore, substituting values into the formula and evaluating, you get:

$\begin{gathered} m=\frac{-3-7}{-1-(-4)} \\ \\ m=\frac{-10}{-1+4} \\ \\ m=-\frac{10}{3} \end{gathered}$

• As you can notice, the slope is negative. Therefore, you can determine that it is decreasing.

Therefore, the answers are:

• Slope of the line:

$m=-\frac{10}{3}$

• It is decreasing.

4 0

1 year ago

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

adoni [48]

Answer:

$r = 4$

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

$x^2 - 4x + y^2 + 8y = -4$

The general equation of a circle has the following form

$(x-h)^2 + (y-k)^2 = r^2$

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

$(x^2 - 4x) + (y^2 + 8y) = -4$

<u>Step 2</u>

<u> </u>Add and subtract $(\frac{b}{2})^2$ For an equation of the form

$ax^2 +bx +c$

$(x^2 - 4x +4)-4 + (y^2 + 8y +16) -16= -4$

<u>Step 3 </u> Factor the expressions within the parentheses

$(x-2)^2-4 + (y+4)^2 -16= -4$

<u>Step 4 Simplify</u>

$(x-2)^2 + (y+4)^2= -4+16+4$

$(x-2)^2 + (y+4)^2= 4^2$

Finally

$r = 4$

The center is:

(2, -4)

7 0

3 years ago

carlos won 83 lollipops playing the bean bag toss at his schools game night. Later, he gave three to each of his friends. Write

Troyanec [42]

Let y= how many lollipops he has left
Let x= how many friends he has
$y=83-3x$

6 0

3 years ago

Read 2 more answers