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3 years ago

Please help with 4 and 5 I don’t want to fail math please help!

Mathematics

1 answer:

artcher [175]3 years ago

5 0

you might have to google search because i can barley see the table

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X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

3 years ago

PLEASE HELP

Savatey [412]

Correct Answer: Option A

The next step in simplification will be to convert the squared term so that it no longer contains a square.

So, we are to simplify the term $cos^{2}(2x)$

Using the half-angle identity we can write:

$cos^{2}(2x)= \frac{1+cos(4x)}{2}$

Using this value, the equation becomes:

$sin^{4}x=1-2cos(2x)+ \frac{ \frac{1+cos(4x)}{2} }{4}$

Therefore, option A is the correct answer.

4 0

3 years ago

HELP ME PLESE ,3 I NEED THIS

snow_lady [41]

The measure of arc EF = 146 degrees because its central angle = 146 degrees.

5 0

3 years ago

The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.

schepotkina [342]

Answer:

$2.60

Step-by-step explanation:

13.00÷5=2.6

6 is in tens placement

8 0

2 years ago

Find the inverse of Function F. <br> F(x)=9x+7

matrenka [14]

Answer:

x - 7/9 = f(x)^-1

Step-by-step explanation:

f(x) = 9x + 7

y - 7 = 9x

y - 7/9 = 9x/9

Interchange!

x - 7/9 = y

7 0

3 years ago