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finlep [7]
3 years ago
15

Is the function y+1=5(x-9) linear or nonlinear?

Mathematics
1 answer:
velikii [3]3 years ago
5 0
Y+1=5x-45
y=5x-46

linear
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Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Marat540 [252]

Answer:

<em>Maximum: (-1,9)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic function</u>

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

y=a(x-h)^2+k

Where a is the leading coefficient.

We are given the following function:

y =-2x^2-4x+7

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

y =-2(x^2+2x)+7

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

y =-2(x^2+2x+1- 1)+7

Taking out the -1:

y =-2(x^2+2x+1)+2+7

Factoring the trinomial and operating:

y =-2(x+1)^2+9

Comparing with the vertex form we have

Vertex (-1,9)

Leading coefficient: -2

Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

3 0
2 years ago
BRAINLIEST FOR THE RIGHT ANSWERRR<br><br> If useful, points are (1,0) (0,-4)
Lapatulllka [165]

Answer:

x-inercept = 1  y-intercept = -4

Step-by-step explanation:

3 0
2 years ago
A researcher records the change in weight (gained or lost) during the first semester of college for each individual in a group o
german

Answer:

Statistic

Step-by-step explanation:

Generally, when we talk about statistic, we are talking about the characteristic of a sample. A statistic can be said to be a value which is calculated or computed from the values in a sample.

By applying mathematical functions in this case addition and division to the values present in the sample, we have what is now known as statistic.

6 0
3 years ago
Jordan will hike the trail shown at a rate of ​mi/h. Write a linear equation to represent the distance Jordan still has to walk
agasfer [191]

Answer:

<em>y = (-mi/h)x + b</em>

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept

<em>y = mx + b</em>

all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...

<em>y = (-mi/h)x + b</em>

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

7 0
2 years ago
HELP ME ASAP pretty please someone help me with 9 A and B (For b show work please) THANK YOU
Ilia_Sergeevich [38]
160 x 4 =? ~a~
~b~ solve the equation i gave you
6 0
3 years ago
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