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Tju [1.3M]
2 years ago
9

Please explain how you would graph this line using the slope-intercept method. y = -3/2x + 175

Mathematics
1 answer:
Hoochie [10]2 years ago
8 0
Slope intercept form is y = mx + b

m represents the slope and b represents the y intercept

Your line would start on 175 on the y axis and have a rise of -3 and a run of 2 (it has a negative slope, so the line will slope towards the right)

This means that the first point would be (0, 175) and the second would be (2, 172)
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Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3
Masteriza [31]
To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward

2) solve the inequality for y:
given:                       -2x + 5y > 15
transpose-2x:            5y > 15 + 2x
divide by 5:                  y > 3 +  (2/5)x

3) Graph

- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.

- the solution is the region above and to the left of the dotted line.

4) See the figure attached for better visualization: the pink region is the solution of the inequality.

8 0
3 years ago
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How to find the circumference of a circle that is 42m and has diameter
Nitella [24]

Answer:

Circumference of the circle is 131.88m

Step-by-step explanation:

we have to find the circumference of the given circle.

Given:

                     Diameter=42 m

          \\diameter=2*radius\\42 =2*radius\\radius=42/2\\radius=21 m

Circumference of a circle= 2\pi r

                          =2*\pi *21\\=2*3.14*21\\=42*3.14\\=131.88

So, the circumference of the circle is 131.88m

6 0
3 years ago
Plz help me with this
Setler79 [48]

Answer:   x = 8

                (the correct answer was not provided as an option)

<u>Step-by-step explanation:</u>

log_2(x-6)+log_2(x-4)=log_2(x)\\\\log_2[(x-6)(x-4)]=log_2(x)\\\\(x-6)(x-4)=x\\\\x^2-10x+24=x\\\\x^2-11x+24=0\\\\(x-3)(x-8)=0\\\\x=3\qquad x=8\\\\\\\text{The term after the log symbol  (inside the parenthesis) must be greater than 0!}\\\\Check:\\3-6>0\ \text{FALSE --- so 3 is not a valid solution}\\\\8-6>0\ \text{TRUE}\\8-4>0\ \text{TRUE}\\8>0\ \text{TRUE --- 8 is a valid solution because it is true for all}

8 0
3 years ago
For each pair, determine whether it is a solution to 6x+7y=19
Gre4nikov [31]

Answer:

Step-by-step explanation:

(0, -3) not a solution

(2,1) solution

(3,-4) not a solution

(-5,7) solution

5 0
2 years ago
suppose y varies directly with x, an dy = 10 when x =3. what direct variation equations relates x and y?
Ratling [72]

The direct variation equation relates x and y is y = \frac{10}{3} x

Step-by-step explanation:

Direct variation is when one variable is equal to a constant times another variable

If y varies directly with x, then

  • y ∝ x
  • y = k x is the equation of variation
  • k is the constant of variation

∵ y varies directly with x

∵ y ∝ x

∴ y = k x

∵ y = 10 when x = 3

- Substitute these values in the equation above to find k

∴ 10 = k(3)

∴ 10 = 3 k

- Divide both sides by 3

∴ k = \frac{10}{3}

∴ The equation of variation is y = \frac{10}{3} x

The direct variation equation relates x and y is y = \frac{10}{3} x

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

8 0
3 years ago
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