MATHEMATICS HIGH SCHOOL

Solve each system.
y=2x+6
y= -3x+16

Answers

Answer 1
Answer: y=2x+6\ny= -3x+16\n\n2x+6=-3x+16\n2x+6+3x-6=-3x+16+3x-6\n5x=10\ /:5\nx=2\n\ny=2x+6\ \ \ \Rightarrow\ \ \ y=2\cdot2+6=4+6=10\n\nAns.\ \ x=2\ \ and\ \ y=10
Answer 2
Answer: y= 2x+6  so therefor ----> x=2 and y=10 

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A line segment is drawn from (+6, +4) to (+9, +4) on a coordinate grid.Which explains one way that the length of this line segment can be determined? A. Add 9 + 6. B. Add 6 + 6. C. Subtract 9 – 6. D. Subtract 6 – 6.
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Which function represents the equation of the line? A. f(x)= -x-4
B. f(x)= -x+4
C. f(x)= x-4
D. f(x)= x+4

Answers

Answer:

f(x)= x-4

Step-by-step explanation:

I just took the test :)

Since the line goes from bottom left to top right, the slope is positive. So, the answer is either C or D.

Moreover, the function passes through [/tex] (0,-4) [/tex], which means that the answer is C. In fact, you have

f(x) = x-4 \implies f(0) = 0-4 = -4

Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?

Answers

Answer:

The distance Conner walks each day is 10 miles

The distance Kevin walks each day is 7 miles

The distance John walks each day is 12 miles

Step-by-step explanation:

The question is a word problem

Let the number of miles Conner walks per day = x

The given inforf the totmation in the question are;

The distance Kevin walks per day = x - 3 miles

The distance John walks per day = x + 2 miles

In three days, the difference between the total distance John walks and the total distance Kevin walks is equal to half the total distance Conner walks

The number of miles each person walks per day is found as follows;

3×(x + 2) - 3×(x - 3) = 3·x/2

3·x + 6 - 3·x - (-9) = 3·x/2

3·x + 6 - 3·x + 9 = 3·x/2

3·x - 3·x + 6  + 9 = 3·x/2

0 + 6  + 9 = 3·x/2

15 = 3·x/2

x = 15×2/3 = 10 miles

x = 10 miles

Therefore, the distance Conner walks each day = 10 miles

The distance Kevin walks per day = (x - 3) miles = (10 - 3) miles = 7 miles

The distance Kevin walks per day = 7 miles

The distance John walks per day = (x + 2) miles = (10 + 2) miles = 12 miles

The distance John walks per day = 12 miles.

If a/b = 2 /5, b/c = 3 /8, a/c =??​

Answers

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

\implies (a)/(b)=(2)/(5)

\implies (b)/(c)=(3)/(8)

And we need to find out the value of a/c .For that Multiply both of them , we have ;

\implies (a)/(b) *(b)/(c)=(2)/(5)* (3)/(8) \n\n\implies (a)/(c)= (3)/(20)

Hence therequired answer is3/20.

Solve the equation. Check your answer:

14+6a-8=18

Answers

The solution to the given equation 14 + 6a - 8 = 18 is a = 2.

What is the solution to the equation?

A solution to an equation is a number that can be substituted for the variable to provide a true number statement.

The equation is given in the question, as follows:

14 + 6a - 8 = 18

We have to determine the solution to the given equation.

As per the question, we have

14 + 6a - 8 = 18

Rearrange the terms in the above equation, and solve for a:

6a = 18 - 14 + 8

Apply the arithmetic operations,

6a = 12

Divided by 6 into the above equation, and we get

a = 2

Thus, the solution to the given equation is a = 2.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ2
a=2...
Subtract 14 from both sides,then subtract 8 from both sides. Your left with
6a=12
6x1=6
6x2=12
A=2

rob owns 6 green t-shirts and 15 t-shirts in other colors. if rob randomly selects a t-shirt to wear, what is the probability it will be green?

Answers

The probability that Rob will randomly select a green t-shirt, given that he has 6 green and 15 of other colors, is 2/7.

Answer:

2/7

Step-by-step explanation:

P (probability) = number of successful events / number of all events

P = 6 / (6+15) = 6 / 21 = 2 / 7

7y+z evaluate if y=4 an z =-2

Answers

i hope this helps you



7.4+(-2)


28-2


26
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