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2 years ago

2x+y=10------1 using substitution method

Mathematics

1 answer:

Andrei [34K]2 years ago

8 0

Why is there a bunch of dash marks and then the number one...?

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The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (us

WITCHER [35]

Answer:

Step-by-step explanation:

let x and y be length and width of rectangle.

Perimeter=2(x+y)

area=xy

2(x+y)=1/2 xy

4(x+y)=xy

4x+4y=xy

x y-4y=4 x

y(x-4)=4 x

$y=\frac{4x}{x-4}$

4 0

3 years ago

Write an equation in standard form that is parallel to the line y = 2x - 1 that passes through the point (1, 2). 2x - y = 0 O x

timofeeve [1]

Answer:

2x - y = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = 2x - 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 2) into the partial equation

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation in slope- intercept form

Subtract y from both sides

0 = 2x - y , that is

2x - y = 0 ← equation in standard form

5 0

3 years ago

2(1 - 3y) - 13x ik the answer idk how to show the work plz help KEY: y = -9 x = 4

AURORKA [14]

Answer:

The answer is 4.

Step-by-step explanation:

2(1 - 3y) - 13x

2(1−(3)(−9))−(13)(4)

56-52

4 0

2 years ago

What is an equation of the line that passes through the points (6, -1) and (1, 4)?

Nataly [62]

Here you go! Hope this helps!

3 0

1 year ago

The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-

Andrei [34K]

Answer:

The answer is "The null hypothesis was rejected".

Step-by-step explanation:

Following are the right-tailed test:

Calculating the null and alternative hypothesis:

$H_0 : p = 0.3333\\\\H_a : p > 0.3333\\\\n = 150\\\\x = 64\\\\\hat{p} = \frac{x}{n} = \frac{64}{150} = 0.4267\\\\P_0 = 0.3333\\\\1 - P_0 = 1 - 0.3333 = 0.6667\\\\$

$z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}$

$= \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426$

Calculating the right-tailed test:

$P(z > 2.426) = 1 - P(z < 2.426) = 1 - 0.9924 = 0.0076\\\\P-value = 0.0076\\\\\alpha = 0.05\\\\P-value < \alpha$

Therefore, we reject the null hypothesis.

This example shows that more than a third of the families own pets in this town.

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2 years ago