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2 years ago

Which of the following is the correct graph of the linear equation below? 4+2 2-3x+1

Mathematics

1 answer:

e-lub [12.9K]2 years ago

3 0

Answer:

okay lets start with 3 times 1, 3 times 1 is 3-2=1+6=7 your answer is 7

Step-by-step explanation:

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The Big Ben clock tower in London stands at a height of 316 feet. What is the metric equivalent in meters?

RideAnS [48]

96.31680m is the answer

5 0

2 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

2 years ago

Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer 6.15 (x

artcher [175]

Your answer would be x = 12.41

6.15 (x - 8.86) = 21.83
*6.15 * 6.15

6.15x - 54.49 = 21.83
+ 54.49 + 54.49

6.15x = 76.32
/6.15 /6.15

x = 12.41

7 0

2 years ago

Smith chose the underlined words for a reason. What

lbvjy [14]

Answer:

She wanted to persuade others that women should not ride bicycle

8 0

2 years ago

Read 2 more answers

What is the rate of change and initial value of the linear function modeled by a line passing through the points (0,8) and (3,-1

kumpel [21]

The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3

When you say initial value I'm assuming you mean the y-intercept

In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula

y - 8 = -3(x - 0)
y = -3x + 8

The y-intercept is when x = 0 so,

y = -3(0) + 8
Therefore y = 8

3 0

2 years ago