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Tatiana [17]
3 years ago
15

Hese are the values in Paul’s data set.

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0
Answer: See description below.

The residuals are the differences between the predicted values and the actual values. You will need to make a scatter plot of each difference.

Here are the five points that you will need to plot:
20 - 21 = -1  (1, -1)
17 - 16 = 1 (2, 1)
9 - 10 = -1 (4, -1)
6 - 5 = 1 (5, 1)
2 - 2 = 0 (6, 0)
Colt1911 [192]3 years ago
4 0

Answer:

 20 - 21 = -1  (1, -1)

17 - 16 = 1 (2, 1)

9 - 10 = -1 (4, -1)

6 - 5 = 1 (5, 1)

2 - 2 = 0 (6, 0

Step-by-step explanation:

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Giuliana has 22 quarters and dollar coins worth a total of $10.75
nataly862011 [7]
Quarter is $0.25
Dollar is just $1
x is amount of quarters
y is amount of dollar coins
Two equations we know
0.25x+1y=10.75 and
x+y=22

solve both for y
0.25x+1y=10.75
y=10.75-0.25x

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y=22-x

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22-x= (y) =10.75-0.25x
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7 0
3 years ago
Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that apply.
Tanya [424]

Answer:

A and B

Step-by-step explanation:

We are given that

g(x)=x^2-4x+3

g(x)=(x^2-2\times x\times 2+4)-4+3=(x-2)^2-1

Compare with it

y=(x-h)^2+k

Where vertex=(h,k)

We get

Vertex of g=(2,-1)

f(x)=x^2-4x=(x^2-2\times x\times 2+4)-4=(x-2)^2-4

Vertex of f=(2,-4)

Equation of axis of symmetry=x-coordinate of vertex

Axis of symmetry of g

x=2

Axis of symmetry of f

x=2

Differentiate w.r.t x

g'(x)=2x-4=0

2x-4=0\implies 2x=4

x=\frac{4}{2}=2

f'(x)=2x-4

2x-4=0\implies 2x=4

x=\frac{4}{2}=2

g''(x)=2>0

f''(x)=2>0

f and g have both minima at x=2

Hence, option A and B are true.

8 0
4 years ago
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