All categories

3 years ago

Which of the following lines is not parallel to the graph of y=4x+7. y-4x=9 4x-y=8 . 4y-x=8 8x-2y=8

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer:

4y - x = 8

You might be interested in

A random sample of 87 eighth grade students’ scores on a national mathematics assessment

Finger [1]

There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

<h3>What is a statistical hypothesis?</h3>

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

$\mathbf{H_o \leq 283}$

The alternative hypothesis:

$\mathbf{H_i > 283}$

From the population deviation, the Z test for the true mean can be computed as:

$\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}$

$\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}$

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

Learn more about hypothesis testing here:
brainly.com/question/16251072

#SPJ1

8 0

2 years ago

The function g(x) = x2 is transformed to obtain function h:

Rudik [331]

Answer:

Option C

The graph of g is vertically shifted 5 units down

4 0

3 years ago

Write a description of how a diagram can help you solve 2×40

nasty-shy [4]

Let me explain like this .Suppose There are 40 people gathered somewhere for attending an event.Each Person has to be given 2 sweets for their arrival or for showing their presence in the event. Now 40 other woman joined them..Instead of getting two sweets each of them got one sweet.

Solution: 2 sweets × 40 people = 1 sweet × 80 people = 80

2nd Way:

There are 40 rooms in a building.In Each room we have to fix two bulbs. So How many bulbs are there in the building.

Solution →→→2 bulbs × 40 room = 80 bulbs

Diagram is depicted below for two parts.