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mrs_skeptik [129]

4 years ago

15

Jamaal spent x minutes today practicing his guitar and y minutes today on his homework. if the total time he spent both on 45 mi

nutes or more which inequality best represents his practice time?

1 answer:

Irina18 [472]4 years ago

8 0

Time he spends on both instruments = x + y.

This is equal or greater than 45, so the inequality is:-

x + y >= 45

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rusak2 [61]

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3 years ago

Question 7<br> Find the area of the figure,

photoshop1234 [79]

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3 years ago

Determine whether each table below models a linear, quadratic or exponential function.

Virty [35]

The <u>correct answers</u> are:

The <u>first table is linear</u>.
The <u>second table is exponential</u>.

Explanation:

To see if a set of data is linear, we find the <u>slope</u>. Slope is given by the formula

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

We check each pair of points in the <u>first table</u>. The slope between the <u>first two points</u> is:
$m=\frac{1-4}{6-5}=\frac{-3}{1}=-3.$

The slope between the <u>second two points</u> is:
$m=\frac{-2-1}{7-6}=\frac{-3}{1}=-3$

The slope between the <u>third two points</u> is:
$m=\frac{-5--2}{8-7}=\frac{-5+2}{8-7}=\frac{-3}{1}=-3$

Since the slope is the <u>same </u>between any two pairs of points, this is a <u>linear </u>set of data.

Checking each pair of points in the <u>second table</u>, we have:
$m=\frac{1-0}{6-5}=\frac{1}{1}=1$ for the <u>first two points</u>.

For the <u>second pair of points</u>, we have:
$m=\frac{4-1}{7-6}=\frac{3}{1}=3$

Since the slope is <u>not the same</u> between each pair of points, we know the data is <u>not linear.</u>

Next we will check the <u>second table</u> to see if it is <u>quadratic</u>. Since the x-coordinates go up the same number each time, we can check the y-coordinates, specifically looking at the <u>second differences</u>.

For the <u>second differences</u>, we first find the difference between each y-value:
1-0=1
4-1=3
8-4=4

Now we find the <u>difference between each first difference</u>:
3-1=2
4-3=1

Since these second differences are <u>not the same</u>, the data is <u>not quadratic</u>.

From <u>graphing </u>the data in the table, we can see that the data in the second table is <u>exponential</u>.

7 0

4 years ago

If F(x)=x^2, then evaluate f(-1)

Art [367]

Answer:

f=-x^2

Step-by-step explanation:

f(-1)=x^2

-f=x^2

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5 0

3 years ago

Read 2 more answers

Solve:<br> 5(12+5x)=20+35x

kkurt [141]

Answer:

x=4

Step-by-step explanation:

distribute 5 into (12+5x)

60+25x=20+35x

subtract 35x on both sides

60+25x-35x=20

60-10x=20

subtract 60 on both sides

-10x=-40

divide both sides by -10

x=4

hope this helps

4 0

4 years ago