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3 years ago

Find the equation of a line that passes through the point (0,4) and has a gradient of 2.

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

Brainlist pls!

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Which ordered pair is the best estimate for the solution of the system of equations

Colt1911 [192]

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

$y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)$

Equate equations (1) and (2)

$-\frac{1}{2}x + 4=\frac{1}{2}x -3$

Solve for x in the equation above

$-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7$

Substitute x = 7 into equation (1)

$y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}$

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

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2 years ago

Number sentences for these 4?

Murrr4er [49]

A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40

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3 years ago

What number complete the fallowing equation? 8×(40+7)=(8×_)+(8×7) A=40 B=47 C=320 D =376

11Alexandr11 [23.1K]

8x40=320 (+) 8x7=56 (=) 376.

A=40

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The box plot shows ages of randomly sampled attendees at two different movies. Check all statements that apply to Movie A.

deff fn [24]

Answer:

Step-by-step explanation:

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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real

garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

<h3>What is the formula for Discriminant?</h3>

The formula for finding the discriminant is

$b^2 - 4ac$

The solution contains the term $\sqrt{b^2 - 4ac}$ which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation $2x^2 - 7x - 9$

$b^2 - 4ac$

$= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121$

This equation has two real number solutions.

For the quadratic equation $4x^ 2 - 3x- 1$

$b^2 - 4ac$

$= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25$

This equation will have two real number solutions.

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