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k0ka [10]
4 years ago
7

Can someone help me answer (b)? Thanks! :)

Mathematics
1 answer:
iragen [17]4 years ago
7 0

Answer:

No

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{2} x + 3 ← is in slope- intercept form

with slope m = - \frac{1}{2}

Calculate the slope m of the 2 points using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (8, 4)

m = \frac{4-7}{8+4} = \frac{-3}{12} = - \frac{1}{4}

Since slopes are not equal then the lines are not parallel.

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Answer:

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<em>Isolate</em><em> </em><em>the</em><em> </em><em>variable</em><em> </em><em>by</em><em> </em><em>diving</em><em> </em><em>each</em><em> </em><em>side</em><em> </em><em>by</em><em> </em><em>factor</em><em> </em><em>that</em><em> </em><em>don't</em><em> </em><em>contain</em><em> </em><em>the</em><em> </em><em>vari</em><em>able</em><em>.</em>

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8 0
4 years ago
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in
andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0
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Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.

Step-by-step explanation:

1. By definition, a parent function is the simplest form of a function.

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f(x)=\frac{1}{x}

2. The function g(x) is obtained from the function f(x)

g(x)=\frac{1}{x-5}+2

Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.

3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.

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