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sertanlavr [38]
3 years ago
12

Y=3x-5 and y=1/2x+5 Write your answer as an ordered pair, (x,y).

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

use the substitution method

y=3x-5

y= 1/2x+5

3x-5= 1/2x+5

move -5 to the other side

sign changes from -5 to +5

3x-5+5= 1/2x+5+5

3x= 1/2x+10

move 1/2x to the other

3x-1/2x= 1/2x-1/12x+10

3x-1/2x= 10

find the common denominator for 3x

pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2

3x(2)/1(2)

= 6x/2

6x/2-1/2x= 10

5/2x= 10

mutiply both sides by 2/5

5/2x(2/5)= 10(2/5)

Cross out 5 and 10, divide by 5 . Then becomes 2*2= 4

x= 4

find y by using the substitution method

y=3x-5

y= 3(4)-5

y= 12-5

y= 7

Answer: (4,7)

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masha68 [24]

Answer:

Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.

7 0
2 years ago
Please help me for this question
Nezavi [6.7K]

Answer:

Mid-point: (0,-5)

Equation: y=\frac{7}{3}x-5

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

(\frac{{x__A}+{x__B}}{2},\frac{{y__A}+{y__B}}{2})

(\frac{{-7}+{7}}{2},\frac{{-2}+{(-8)}}{2})

(0,-5)

To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

Slope of AB: \frac{{y__2}-{y__1}}{{x__2}-{x__1}} = \frac{{-8}-{-2)}}{{7}-{(-7)}} = \frac{-6}{14} = \frac{-3}{7}

Multiplying slopes that are perpendicular with each other always results in -1.

\frac{-3}{7}*m = -1

m=\frac{7}{3}

By the point slope form:

({y}-{y__1})=m({x}-{x__1})

Plug in the coordinates of the mid-point:

({y}-{(-5)})=\frac{7}{3} ({x}-{0})

Equation: y=\frac{7}{3}x-5

6 0
3 years ago
A news article says that high school students are currently spending an average of 15 hours per week doing homework online. You
Wewaii [24]

Answer:

Step-by-step explanation:

The null hypothesis is the hypothesis that is assumed to be true. It is an expression that is the opposite of what the researcher predicts.

The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected.

From the given situation,

news article says that high school students are currently spending an average of 15 hours per week doing homework online. This is the null hypothesis.

H0: µ = 15 hours

You don't think this is an accurate estimate, although you're not sure whether the real value is higher or lower. This is the alternative hypothesis.

Ha : µ ≠ 15 hours

6 0
3 years ago
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. What is the ratio of raisins to pr
Fofino [41]

Answer:

Raisins : Pretzels = 1 : 2

Almonds: Raisins = 3 : 1

Step-by-step explanation:

Given

Raisins = 2

Pretzels = 4

Almonds = 6

Solving (a):

Ratio of Raisins to Pretzels

Raisins : Pretzels = 2 : 4

Divide 2 and 4 by 2

Raisins : Pretzels = 2/2 : 4/2

Raisins : Pretzels = 1 : 2

Solving (b):

Ratio of Almonds to Raisins

Almonds: Raisins = 6 : 2

Divide 2 and 6 by 2

Almonds: Raisins = 6/2 : 2/2

Almonds: Raisins = 3 : 1

4 0
3 years ago
What is 7/8 as a percent fraction and decimal
irina [24]
7/8 as a percent - 87.5%

7/8 as a fraction - 7/8..? I don't get what you're talking about there

7/8 as a decimal - 0.875
3 0
3 years ago
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