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3 years ago

12

What is the y-intercept of the line represented by y = 4x?

1 answer:

Brut [27]3 years ago

5 0

Answer: 0

Step-by-step explanation: In order to identify the <em>y-intercept</em> of this equation, we want to get this equation into slope-intercept form which is more commonly known as y = mx + b form.

The problem is our equation doesn't match up quite so well with the formula y = mx + b. Our slope or <em>m</em> which is represented by the coefficient of the <em>x</em> <em>term</em> is clearly +4 but what is our y-intercept or b?

Well y = 4x can be thought of as y = 4x + 0 so you can see that our b or y-intercept equals 0.

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Harman [31]

Answer:

The data table is attached below.

Step-by-step explanation:

The average of a set of data is the value that is a representative of the entire data set.

The formula to compute averages is:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

Compute the average for drop 1 as follows:

$\bar x_{1}=\frac{1}{3}\times[10+11+9]=10$

Compute the average for drop 2 as follows:

$\bar x_{2}=\frac{1}{3}\times[29+31+30]=30$

Compute the average for drop 3 as follows:

$\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33$

Compute the average for drop 4 as follows:

$\bar x_{4}=\frac{1}{3}\times[102+100+98]=100$

Compute the average for drop 5 as follows:

$\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67$

The data table is attached below.

3 0

3 years ago

Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (

PtichkaEL [24]

Step-by-step explanation:

Given.

$3x+5y=3$

$x+2y=0$

Take the second equation and subtract 2y to both sides.

$(x+2y)-2y=0-2y$

$x=-2y$

Substitute x into the first equation and simplify.

$3x+5y=3$

$3(-2y)+5y=3$

$-6y+5y=3$

$-y=3$

Invert.

$y=-3$

Substitute Y into your second equation.

$x+2y=0$

$x+2(-3)=0$

$x-6=0$

Add -6 to both sides.

$(x-6)+6=0+6$

$x=6$

Answer:

(6, -3)

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3 years ago

A (p + 1) metres long ladder reaches a height

statuscvo [17]

p^2 + (2p - 5)^2 = (p + 1)^2

Solve for p to find your answer.

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3 years ago

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hoa [83]

Answer:

<u>Approximate values according to picture:</u>

a = 1.6, b = 4, c = 5.8

<u>The values of given expressions:</u>

a) a + b + c = 1.6 + 4 + 5.8 = 11.4
b) c - b + a = 5.8 - 4 + 1.6 = 3.4
c) c ÷ a + b = 5.8 ÷ 1.6 + 4 = 3.6 + 4 = 7.6 (3.6 is rounded)

4 0

3 years ago

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mihalych1998 [28]

Answer:

D) n<5

Step-by-step explanation:

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