MATHEMATICS HIGH SCHOOL

A pair of equations is shown below.3x − y = 9
y = −2x + 11

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(4, 3)
(3, 4)
(9, 11)
(11, 9)

Answers

Answer 1

Answer:

Answer:

Hence, the two equations intersect at:

(4,3)

Step-by-step explanation:

We are given:

A pair of equations:

3x − y = 9

y = −2x + 11

now, on graphing these equations.

as we can clearly see from the graph the two lines intersect at (4,3)

Hence, the two equations intersect at:

(4,3)

Answer 2

Answer: 3x − y = 9
y = −2x + 11

3x − (−2x + 11) = 9
3x + 2x - 11 = 9
5x = 9 + 11
5x = 20
x = 4

y = −2x + 11 = -2*4+11 = 3

(4, 3)

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The bears football team lost 7 yards and then gained 12 yards. what is the result of the two plays

Answers

Answer:

The result of the two plays is that the bears gained 5 yards.

Step-by-step explanation:

We can denote the lost values as negative and won value as positive.

Given is - the bears football team lost 7 yards and then gained 12 yards.

If we take the initial start point to be zero, we can calculate the resultant.

$0-7+12=+5$

Or we can calculate simply :

$-7+12=+5$

Hence, the result of the two plays is that the bears gained 5 yards.

Start at 0 and go back 7 yards for their loss. You are not at -7 on the number line.
Move 12 to the right because of the gain. It takes 7 or those 12 just to get back to zero and you can still move 5 more to the right. You will wind up with a gain of 5 yards. (+5)

Each day, the cafeteria serves more than 200 apples with lunch. Write an inequality that represents this situation. Let a represent the number of apples.

Answers

The expression for the inequality is written as a > 200.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that each day, the cafeteria serves more than 200 apples with lunch.

The inequality will be written as,

a > 200

To know more about inequality follow

brainly.com/question/24372553

#SPJ5

Here is the answer
a > 200

A family consists of a father, a mother and 2 children. What is the probability that all 2 children are boys?1/2

1/4

1/6

1/8

Answers

Answer:

Step-by-step explanation:

The probability of having a boy is ½ and that of a girl is ½.

Probability of boy, boy is (pb*pb) and given pb to be ½ then we can prove the point as follows

For these two children

The options are as follows

1 boy(first) and 1 girl

2 boys

2 girls

1 girl( first) and 1 boy

These are four possible options and the option for two boys is 1 out of the four.

The probability of 2 boys is ½*½=¼

Your portfolio has provided you with returns of 8.6 percent, 14.2 percent, -3.7 percent, and 12.0 percent over the past four years, respectively. what is the geometric average return for this period?

Answers

First you have to add all four of your numbers, 8.6+14.2+ -3.7+ 12=31.1. Then you divide your answer by 4, the number of numbers you added, and you get your answer of 7.775.

(1)/(x)+(1)/(2x+1) = (1)/(3.5)
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