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3 years ago

10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH. 1. Y = 2x + 3 2. Y = 3/4x - 2

Mathematics

2 answers:

Alenkasestr [34]3 years ago

4 0

Answer for problem 1: slope = 2, y intercept = 3

Answer for problem 2: slope = 3/4, y intercept = -2

Explanation:

Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).

Gnesinka [82]3 years ago

4 0

Answer:

slope: 1.) 2 ,,, 2.) 3/4

y-int: 1.) (0,3) ,,, 2.) (0,-2)

graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2

Step-by-step explanation:

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OK this is another question which I need help on please please help if you can. CAUSED ME MUCH DISTRESS

r-ruslan [8.4K]

Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope $= \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}$

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

3 0

2 years ago

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each sc

Rashid [163]

Answer:

The system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

$h+s=15 \ \ \ \ equation \ 1$

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

$0.2h+0.1s=2 \ \ \ \ \ equation \ 2$

Hence the system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

$10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3$

Now Subtracting equation 1 from equation 3 we get;

$(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5$

Now Substituting the value of h in equation 1 we get;

$h+s= 15\\5+s =15\\s=15-5\\s=10$

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

5 0

3 years ago

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f+ g)(x).

kirza4 [7]

Answer:

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

3x+1+x2-6 = x2+3x-5

5 0

3 years ago

Find the value of x, y, and z.

egoroff_w [7]

Answer:

x = 61°

y = 61°

z = 58°

Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

$x + x + 58 \degree = 180 \degree \\ \\ 2x = 180 \degree - 58 \degree \\ \\ 2x = 122 \degree \\ \\ x = \frac{122 \degree}{2} \\ \\ x = 61\degree \\ \\ y = 61\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\$

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3 years ago

Sanya noticed that the temperature was falling at a steady rate of 1.4 degrees every hour after the time that she first checked

kakasveta [241]

Answer:A not b or c or d A!!

Step-by-step explanation:

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3 years ago

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