MATHEMATICS HIGH SCHOOL

Please help! If you do so you will get 50 points and brainiest!

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer 2

Answer: Answer: 1

Explanation: 0v0

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Write an equation of the line shown. Then use the equation to find the value of x when y=70.

Answers

Answer:

x = 9

Step-by-step explanation:

The slope would be 6

Y -int would be 16

Through this we can find out that the slope-intercept form is

y = 6x + 16

insert 70 into y

solve for x

70 = 6x + 16

54 = 6x

9 = x

The equation of the line is y = 4x + 18 and the value of x is 13

How to determine the equation of the line

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

m + c = 22

4m + c = 40

When evaluated, we have

3m = 12

m = 4

So, we have

4 + c = 22

c = 18

Next, we have

y = 4x + 18

When y = 70, we have

4x + 18 = 70

Evaluate

x = 13

Hence, the value of x is 13

Answers

First we put 7 in the place of y, after that subtract 7 from both sides, the answer is -2.
x + y= 5 y = 7
x+ 7=5
x= 5-7
x = -2

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.Which models can be used to solve the problem?

Answers

Answer:

$60+0.3x=150$

Step-by-step explanation:

Total money Wei has = $150

Each blue balloon costs = $0.60

Let the number of white balloons be = x

Each white balloon costs = $0.30

Now Wei purchased 100 blue balloons and have $150 to buy both balloons.

So, money spent on blue balloons is = $100*0.60=60$

Amount spent on white balloons is = 0.30x

So, for the total cost, the equation that can be used is :

$60+0.3x=150$

Upon solving this we get,

$0.3x=150-60$

$0.3x=90$

x=300

Hence, Wei can buy 300 white balloons.

0.60b + 0.30w = 150; 60 + 0.30w = 150

Complete the table for the equation of the line y = 3x - 1 X
f(x)
-1
0
2

Answers

Answer:

Step-by-step explanation:

Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.

If y = 3x-1, then f(x) = 3

When x = -1

f(-1) = 3(-1)-1

f(-1) = -3-1

f(-1) = -4

Hence when x = -1, f(x) = -4

When x = 0

f(0) = 3(0)-1

f(0) = 0-1

f(0) = -1

Hence when x = 0, f(x) = -1

When x = 2

f(2) = 3(2)-1

f(2) = 6-1

f(2) = 5

Hence when x = 2, f(x) = 5

Final answer:

To complete the table for the equation of the line, substitute the given x-values into the equation and solve for y.

Explanation:

To complete the table for the equation of the line y = 3x - 1, we substitute the given x-values into the equation and solve for y. For x = -1, y = 3(-1) - 1 = -4. For x = 0, y = 3(0) - 1 = -1. And for x = 2, y = 3(2) - 1 = 5. Therefore, the completed table is:

x
f(x)

-1
-4

0
-1

2
5

Learn more about Equation of a line here:

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Write the sum using summation notation, assuming the suggested pattern continues. -10 - 2 + 6 + 14 + ... + 110

Answers

This is the sum of the arithmetic sequence:
10 - 2 + 6 + 14 + ... + 110
where: a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n )
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.

The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen

The Hendersons have just bought a home that requires some monthly yard maintenance. They are trying to decide if they should hire a professional lawn care service to maintain the property or do it themselves. Below are the costs associated with both options:Professional Service Option Do-It-Yourself Option
$75 for the first month $250 lawnmower
$45 per month after initial visit $135 edger
Includes mowing and edging the $69 hedge trimmer
lawn, trimming the bushes, and $25 rake
raking the leaves.

How long would it take before the Hendersons would recover their costs if they chose to do it themselves over the professional service?
a.
5 months
b.
9 months
c.
10 months
d.
6 months

Answers

First, add together the costs for buying their own stuff. 250+135+69+25=479.

Then figure for the professional costs. Put it in perspective of a year. 45*11+75=570.

Then subtract. Professional- DIY. 570-479=91.

$91 is about 2 months worth of work. So a year has 12 months.

12-2=10

Answer:10 months

Professional Service Option Do-It-Yourself Option:

First month lawnmower = $250

Initial visit = $135

Price for mowing and edging = $69

Price for lawn and bushes trimming = $ 25

Hence, total cost becomes = 250+135+69+25 = $479

Professional service cost for 1 month lawnmower = $75

Professional cost for visit for 11 months (1st visit costs $135) = $45

Total cost for 11 months = 45*11 = $495

Total professional cost = 495+75 = $570

Now, subtracting the professional cost and do it yourself cost we get;

$570-$479=$91.