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Feliz [49]
3 years ago
5

A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).

Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

Correct option: 3

Step-by-step explanation:

The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:

x_vertex = (2 + 8) / 2 = 5

The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.

Correct option: 3

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Which equation represents the graph function?
DENIUS [597]

Answer:

See below.

Step-by-step explanation:

First, it's obviously a line so the equation is a linear equation.

In order to find a linear equation, we first need the slope and the y-intercept. Recall the slope-intercept form: y=mx+b, where m is the slope and b is the y-intercept.

We already know the point (0,3) which is the y-intercept. Thus, b=3.

To find the slope, use the slope formula:

m=\frac{\Delta y}{\Delta x} =\frac{2-3}{3-0}=-1/3

Thus, the equation is:

y=-\frac{1}{3}x+3

4 0
3 years ago
Read 2 more answers
PLS HELPS ME!!!!!!!!!!!!
777dan777 [17]

Answer:

Step-by-step explanation:

<em>1).</em>

(a). Yes, the graph is linear.

(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2

<em>2).</em> Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)

5 0
3 years ago
6/9 is a rational number. Select all the rational numbers that are equivalent to .
Marianna [84]

Option b) and c) is correct, i.e. 2/3 and 0.66(line over 66)7

6/9 is a rational number.
similar ration number can be given as -

<h3>What is rational number?</h3>

Rational numbers are the numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

From the option, by above definition 2/3, 0.66(line over 66)7 seems to be an equivalent rational numbers because
6/9=2/3= 0.66(line over 66)7.

Thus, Rational numbers 2/3, 0.66(line over 66)7 are equivalent to 6/9.

Learn more about Rational numbers here:
brainly.com/question/17450097

#SPJ1

5 0
2 years ago
The circle graph shows how a family spends its annual income. If $37,800 is used for Housing and Clothing combined, what is the
astraxan [27]

Answer:

$90000

Step-by-step explanation:

From the pie chart,

Let the total annual income =  $y

The percentage of housing = 28 %

The percentage of clothing = 14 %

The combined percentage of housing and clothing = 28+14 = 42 %

If the amount spent on both housing and clothing combined = $ 37800

Therefore,

y(42/100) = 37800

Solve for y

42y = 37800×100

42y = 3780000

y = 3780000/42

y = $90000

Hence, the total annual income is $90000

4 0
3 years ago
Which part of an ecuation is the sum
erastova [34]
All parts of arithmetic equations have names. In an addition equation, addends are the numbers that are added together to give a sum. In a subtraction equation, the subtrahend is taken away from the minuend to give a difference. In a multiplication equation, factors are multiplied to give a product.
7 0
4 years ago
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