Set up a ratio.

x= unknown portion out of 330

19/110= x/330
cross multiply

110x= 19 * 330

110x= 6270
divide both sides by 110

x= 57

ANSWER: She could expect 57 out of 330 to choose volleyball

Hope this helps! :)

6 0

4 years ago

If x is a real number, what is the smallest possible value of x^2+8 ?

djyliett [7]

hi,

smallest value is 8.

x^2 will always be a positive number regardless of the value of x.

the smallest value for a positive number is 0, therefore x^2 +8 will never be smaller than 8

3 0

2 years ago

Find all the solutions of each equation by factoring. x^4 14x^2-32=0

Natasha2012 [34]

x = 4
x = -4
x= 0.0000 - 1.4142 i
 x= 0.0000 + 1.4142 i

3 0

3 years ago

Which equation represents the linear function that is shown on the graph below?

d1i1m1o1n [39]

Answer:

$y = \frac{1}{2}x - 2$

Step-by-step explanation:

Given

The attached graph

Required

Determine the linear equation

First, we need to calculate the slope

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

From the graph, the following relationships exist:

$(x_1,y_1) = (4,0)$

$(x_2,y_2) = (10,3)$

So, the expression for calculating slope becomes:

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

$m = \frac{3-0}{10-4}$

$m = \frac{3}{6}$

$m = \frac{1}{2}$

Next, we calculate the equation using:

$y - y_2 = m(x - x_2)$

This gives:

$y - 3 = \frac{1}{2}(x - 10)$

Open bracket

$y - 3 = \frac{1}{2}x - 5$

Make y the subject:

$y = \frac{1}{2}x - 5+3$

$y = \frac{1}{2}x - 2$

7 0

3 years ago