The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.

Answer:

26 and 32 are the two numbers, the product is 832

Regression Project: Find the Profit Model

Annual Widget Production x (widgets) Annual Total Cost c($)
10 609
20 1105
30 1523
40 2150
50 2603
60 3121
70 3672
80 4103
90 4601
100 5214
Recall that profit can be computed in terms of revenue and cost. Assume that the annual widget sales match the annual widget demand and annual widget production. Construct a model for profit using the models for revenue and cost that you found in the Revenue and Cost sections. Find the model for profit P ( x ), where P ( x ) is the total annual profit in dollars for x widgets sold, and write it as P ( x ) = a x 2 + b x + c. Note: You are using the fact that P ( x ) = R ( x ) − C ( x ), not creating a table of data.

value of a. -0.956
value of b. 106.2
value of c. ???????????????????? It is not 0, 73.4, 124.2, 104.87, 157, 50.8 I've tried all of these

factor completely
5x^2-9x-2​

Write 1 ordered pair excluding the y-intercept given the slope and y-int. of this line.

Frank ordered a set of beads. He received 70 beads in all. 21 of the beads were green. What percentage of the beads were green?

1 +1 = ???????????????????????????

if sin 15° =x and sin 75° =y then which one of the following correct

Tan 15°=x/y
Tan 75° =x/y
Cot 15°=x/y
75°=y/x

What is the length of AC?

Somebody please help me with this question, I couldn’t find any answers to it.

A = nr^2. find the value of A when n = 3.142 and r =5

-2(+7)-3(4- 2x).
Help I will give you brainliest who does it first

What's the slope and y-intercept?
Help please!!

calculate the size of a and b respectively in the diagram below​

Please help answer this question will give brainlst if your correct :)

If there are 16oz in 1 pound how many pounds do 136oz of peaches weigh

What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 true

compare the fraction 3/5 to 1/2

is either is either x equals 20 or x equals 12 the solution to X -8 = 4 ​

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.

I’ll give Brainly! Write a corresponding real-world problem for each equation.

1. 0.55x + 4.50 = 0.65x + 3.50

2. 8x + 80 = 4x + 120

Helpppp please.........

Write in statement form 3x-5=1​

I can identify and use inverses to solve equations with one variable

Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.

solve for x: 2(x+2)-4x+8

what is the unit rate of 36 kg in 30 weeks. how many kg per week?​

Determine which expression is equivalent to 15a + 6. (5 points)

a
3(5a + 6)

b
3(5a + 2)

c
5(3a + 6)

d
5(3a + 2)

Question 2 (5 points)
(03.01 LC)

Excellence Middle School charges $6.25 for students from all grade levels to attend the school dance. If s represents the number of seventh grade students who came to the dance and g represents the number of eighth grade students at the dance, which expression best represents the total money collected for attending the dance. (5 points)

a
6.25s + g
b
6.25(s + g)

c
13.50(s + g)

d
13.50s + g

Question 3 (5 points)
(03.01 LC)

Ken and Paul have been mowing lawns to earn extra money. Their jobs earn $65 per week. Ken worked for x weeks and earned an extra $18. Paul worked for y weeks. From the expressions below, select one that determines the total amount that Ken and Paul earned mowing lawns. ? (5 points)

a
83x + 65y

b
65x − 18 + 65y

c
60x + 83y

d
65x + 18 + 65y

Question 4 (5 points)
(03.02 MC)

Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below:


Music Collection Survey
Name Number of Pop Albums Total Number of Albums in the collection
Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59


Based on the survey, which friend had the greatest percentage of pop albums? (5 points)

a
Michelle

b
Sasha

c
Kat

d
Monica

Question 5 (5 points)
(03.02 MC)

Lynne was wondering which game was more popular so she aksed her friend which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us? (5 points)

a
30

b
20

c
44.45

d
5

Question 6 (5 points)
(03.02 MC)

Hulk, Iron Man, Thor, and Captain America together clean out evil from 60 cities. Hulk cleaned up 0.25 of the cities, Iron Man cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Captain America cleaned up the the remaining cities. Who cleaned up the most cities? (5 points)

a
Hulk

b
Iron Man

c
Thor

d
Captain America

Question 7 (5 points)
(03.04 MC)

Solve for x: (5 points)





a
12

b
−12

c
-35

d
35

Question 8 (5 points)
(03.04 MC)

Clark Kent needs to buy some new glasses. He has $70 to spend and the glasses that he wants only costs $30. He wants to spend the remainder of his money on new capes. Each cape costs $8. Which inequality represents the number of capes he can purchase? (5 points)

a
x ≥ 5

b
x ≤ 11

c
x ≤ 5

d
x ≥ 11

Question 9 (5 points)
(03.04 LC)

Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 more than the smaller number. (5 points)

a
x + (x + 5) = 32

b
x − (x + 5) = 32

c
x(x + 5) = 32

d
x(x − 5) = 32

Question 10 (5 points)
(03.05 MC)

SpongeBob needs $44 to buy a new pair of rectangle pants. He has already been able to save $9 and plans to work as a cook where he can earn $7 per hour. Which inequality shows the minimum number of hours, n, that SpongeBob will have to work as a cook to earn enough to buy the rectangle pants? (5 points)

a
9 + 7n ≤ 44, so n ≤ 5

b
9 + 7n ≥ 44, so n ≥ 5

c
7n ≥ 44 + 9, so n ≥ 7.8

d
7n ≤ 44 + 9, so n ≤ 7.8

Question 11 (5 points)
(03.05 MC)

Jesse sells clothes in the Yee Haw! Western Clothing store and earns $40 per day. She earns an extra $5 for each lasso she sells. If Jesse wants to earn at least $70 per day, which inequality shows the minimum number of lasso, n, that she would need to sell? (5 points)

a
40 + 5n ≤ 70, so n ≤ 6

b
40 + 5n ≥ 70, so n ≥ 25

c
40 + 5n ≤ 70, so n ≤ 25

d
40 + 5n ≥ 70, so n ≥ 6

Question 12 (5 points)
(03.05 MC)

Defne was looking online and saw some some cakes that looked delicious. Each cake costs $10.01 and has a shipping cost of $9.96 per order. If Defne wants to spend no more than $50 for the cakes, which inequality shows the maximum number of cakes, c, Defne can buy?(5 points)

a
9.96p − 10.01p ≤ 50, so p ≤ 1

b
9.96p + 10.01p ≤ 50, so p ≤ 2

c
9.96 − 10.01p ≤ 50, so p ≤ 3

d
9.96 + 10.01p ≤ 50, so p ≤ 4

I NEED HELP (ASAP)

50 POINTS PLS HELP!!!!

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?

A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C: A segment in the image has the same length as its corresponding segment in the pre-image.

D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Solve the following equations for x.
kx - b=3d + 7b

Eric went on a 11,150km trip. he travelled the firsy 7574 kilometre by train and the rest of the trip by car. if he took 12 days to complete the second part of his trip by car, what was the mean distance he drive each day ?

Find the interest on $900 at 6% for 4 years if the interest is added to the principal at the end of each year. Show your work. PLEASE HELP

How many buckets of balls does the golf course need to sell
if 10 course packages are sold?
If 10 course packages are sold, the golf course must sell
buckets of balls.
Check