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3 years ago

Jamie says the value of the expression 1.34

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

3 0

Okay what is next then?

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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) Which answer describes the polynomial?

lbvjy [14]

$\bf 3x^3+4x^2-7\quad 
\begin{cases}
3x^3\impliedby &3rd~degree\\
4x^2\impliedby &2nd~degree\\
7\impliedby &0~degree
\end{cases}$

notice, there are three terms, therefore is a trinomial.

the term that has the highest degree, has a degree of 3, therefore the degree of the polynomial as a whole is 3, or a cubic degree.

so, is a cubic trinomial.

5 0

3 years ago

Evaluate 14 + (-2). (1 point) O 16 -16 O -12 12

rewona [7]

The answer to 14+(-2) is 12

6 0

3 years ago

I need help with this

Natali [406]

I’m pretty sure this is correct.