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2 years ago

What is the slope-intercept equation for the line below? (0,1) (4,3)

Mathematics

1 answer:

const2013 [10]2 years ago

3 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 3) and (0, 1) → b = 1.

Calculate the slope:

$m=\dfrac{1-3}{0-4}=\dfrac{-2}{-4}=\dfrac{1}{2}$

Answer: $\boxed{D.\ y=\dfrac{1}{2}x+1}$

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The product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater

kow [346]

X*y = 450
y = 1/2x

x(1/2x) = 450
1/2x^2 = 450
x^2 = 450 * 2
x^2 = 900
x = sqrt 900
x = 30

y = 1/2(30)
y = 15

so ur numbers are : x = 30 and y = 15...but I am not sure of ur answer choices.

5 0

2 years ago

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Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change. The sandwich cost $7.75 and sales tax was $

EleoNora [17]

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63

= $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved

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2 years ago

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Simon has 160160160 meters of fencing to build a rectangular garden.

yaroslaw [1]

Answer:

Step-by-step explanation:

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CL 6-131. Solve each system using the method of your choice.

shepuryov [24]

System 1: The solution is (x, y) = (-4, 5)

System 2: The solution is $(x, y) = (\frac{11}{3}, -3)$

Solution:

Given system of equations are:

2x + 3y = 7 ------ eqn 1

-3x - 5y = -13 --------- eqn 2

We can solve by elimination method

Multiply eqn 1 by 3

6x + 9y = 21 ------ eqn 3

Multiply eqn 2 by 2

-6x - 10y = -26 ------- eqn 4

Add eqn 3 and eqn 4

6x + 9y -6x - 10y = 21 - 26

-y = -5

y = 5

Substitute y = 5 in eqn 1

2x + 3(5) = 7

2x + 15 = 7

2x = -8

x = -4

Thus the solution is (x, y) = (-4, 5)

<h3>Second system of equation is:</h3>

8 - y = 3x ------ eqn 1

2y + 3x = 5 ----- eqn 2

We can solve by susbtitution method

From given,

y = 8 - 3x ----- eqn 3

Substitute eqn 3 in eqn 2

2(8 - 3x) + 3x = 5

16 - 6x + 3x = 5

3x = 16 - 5

3x = 11

$x = \frac{11}{3}$

Substitute the above value of x in eqn 3

y = 8 - 3x

$y = 8 - 3 \times \frac{11}{3}\\\\y = 8 - 11\\\\y = -3$

Thus the solution is $(x, y) = (\frac{11}{3}, -3)$

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2 years ago

Biologists conducted a study to investigate the flying velocity of mosquitoes both before and after feeding. The following scatt

Lesechka [4]

Answer:

It represents a mosquito that flew very fast after feeding relative to all other mosquitoes.

Step-by-step explanation:

The point is unusual because the velocity of the mosquito is substantially greater than all other velocities and is probably an outlier.

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2 years ago