MATHEMATICS HIGH SCHOOL

Please help I'm desperate...Solve the systems:

a. y=50+3x

y=100-2x


b. x+3y=9

-3x+2y=8


Thanks for helping

(will give brainliest <3)

Answers

Answer 1
Answer: the first step that isn’t show here is expressing the system in standard form. I assumed you would already know how to do that so I didn’t include it
As for the second system, I’d be happy to give you a solution for that as well, but I can only post one photo per question so you would have to post it again :)
Answer 2
Answer: I recommend you use the app photomath you just have to take a picture of your exercise.

Related Questions

If an item weighs 45 kilograms, what is its weight in pounds?
What is 42/4 as a mixed number
Please help me solve this !!!!
What is the solution set of (3x - 1)2 = 5?
At the Lira Store for Girls, socks are on sale this week for $1.29 a pair. The regular selling price is $1.79 a pair. What is the markdown rate?

Identify the transformation.

Answers

Answer:

C) translation 5 united left, 1 unit up

Step-by-step explanation:

to figure this out you can take one point and translate it into 5 units left and 1 up and it will be in the spot of the new figure, Reflection and rotation are not correct because the figure would be oriented differently, and it is not D because the figure with ' is the new transformation

Write “400 pounds per 340 square feet” as a rate in simplest form.

Answers

400 pounds / 340 feet^2
100 pounds / 85 feet^2
20 pounds / 17 feet^2
20/17 pounds/feet^2

Is the following correspondence a function

Answers

No, because element b has 2 correspondents.
where the letter b for second place can not function

1. Which of the following is the factored form of the expression: 3x2 – 4x? A. x(3x - 4)
B. x(3 – 4x)
C. (3x -1) (x -1)
D. (3x +1)(x -1)

2. Which is a completely factored form of the expression: x2 + 21x +20 ?

A. (x + 5)(x + 4)
B. (x + 10)(x + 2)
C. (x + 20)(x + 1)
D. (x + 21)(x - 1)

3. Which expression is factored form of 4x2 -9?

A. 2(x - 3)2
B. (x - 3)2
C. 2(x + 3)(x - 3)
D. (2x + 3)(2x - 3)

4. Below are factored forms of the expression: 12x3 – 36x2 . Which expression has the greatest common factor as the first term?

A. 3x (4x2 – 12x)
B. 4x2(3x -9
C. 12x2(x – 3)
D. 12x(x2 - 3x)
5. Adele’s lawn has an area of (x2 -5x -6) square feet and a length of (x + 1) feet. What is the width of the lawn in feet?

A. (x -6)
B. (x +6)
C. (x2 -4x -5)
D. (x2 -6x -7)

6. The expression below represents the area, in square meters, of a rectangle:
X2 + 5x -24
Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle?

A. (x – 3) and (x + 8)
B. (x – 4) and (x + 6)
C. (x – 6) and (x + 4)
D. (x – 8) and (x + 3)

7. What is the complete factorization of 32 – 8z2?

A. -8(2 + z)(2 –z)
B. 8(2 + z)(2 – z)
C. -8(2 + z)2
D. 8(2 – z)2

8. What is the greatest common factor of: 12x2 , 24x2y2 , and 46xy?

A. 4x
B. 3x
C. 6x
D. 2x
9. Which expression is equivalent to: 2x2 -3x -35?

A. (2x + 7)(x - 5)
B. (2x - 7) (x + 5)
C. (2x - 5)(x + 7)
D. (2x + 5)(x - 7)

10. What are the factors of 81x2 + 36x + 4?

A. (9x + 2)(x +2)
B. (9x +2)(9x +2)
C. (9x -2)(9x -2)
D. (9x +2)(9x -2)

11. The top of a rectangular table has an area of: 18x2+ 69x +60.
The width of the table is 3x + 4. What is the length of the table?
(Show proof by multiplying – show your work)

12. Simplify: (x2 +2x)(5x -3)
A. 11x2 -3
B. 6x3 -6x
C. 5x3 + 7x2 – 6x
D. 5x3 – 13x2 -6x

13. Factor by grouping: 30g5 +24g3h – 35g2h2 - 28h3 Show your work!



14. Which is the correct way to factor the polynomial : x2 -16?

A. (x -4)(x -4)
B. (x -4)(x +4)
C. (x +4)(x -2)(x +2)
D. Not factorable

15. The area of a square painting is: 81p2 + 90p +25. What is the length of one side? Prove by multiplication – show your work.

Answers

1. 3x^2-4x=x(3x-4) - A.

2. x^2 + 21x +20=(x-x_1)(x-x_2)

Find the roots:

D=21^2-4\cdot 20=441-80=361, \ √(D)=19,\n \nx_1=(-21-19)/(2)=-20, \ x_2=(-21+19)/(2)=-1,

then

x^2 + 21x +20=(x+20)(x+1) - C.

3. 4x^2 -9=(2x)^2-3^2=(2x-3)(2x+3) - D.

4. 12x^3-36x^2=12x^2(x-3) - C.

5. x^2 -5x -6=(x-x_1)(x-x_2)

Find the roots:

D=(-5)^2-4\cdot (-6)=25+24=49, \ √(D)=7,\n \nx_1=(5-7)/(2)=-1, \ x_2=(5+7)/(2)=6,

then

x^2 -5x -6=(x-6)(x+1) and the width of the lawn is x-6 - A.

6. Since x^2 + 5x -24=(x+8)(x-3) the length and width are x+8 and x-3 - A.

7. 32 -8z^2=8(4-z^2)=8(2^2-z^2)=8(2-z)(2+z) - B.

8. 12x^2=2\cdot 2\cdot 3\cdot x\cdot x, \n24x^2y^2=2\cdot 2\cdot 2\cdot3\cdot x\cdot x\cdot y\cdot y , \n 46xy=2\cdot 23\cdot x\cdot y.

So the greatest common divisor is 2\cdot x=2x - D.

9. 2x^2 -3x -35=2(x-x_1)(x-x_2)

Find the roots:

D=(-3)^2-4\cdot (-35)\cdot 2=9+280=289, \ √(D)=17,\n \nx_1=(3-17)/(2\cdot 2)=-(7)/(2), \ x_2=(3+17)/(2\cdot 2)=5,

then

2x^2 -3x -35=2(x+(7)/(2))(x-5)=(2x+7)(x-5) - A.

10. 81x^2 + 36x + 4=(9x)^2+2\cdot 9x\cdot 2+2^2=(9x+2)^2 - B.

11. 18x^2+ 69x +60=3(6x^2+23x+20)=3\cdot 6(x+(5)/(2))(x+(4)/(3))=(6x+15)(3x+4), the length is 6x+15.

12. (x^2 +2x)(5x -3) =x^2\cdot 5x-x^2\cdot 3+2x\cdot 5x-2x\cdot 3=5x^3-3x^2+10x^2-6x=5x^3+7x^2-6x - C.

13. 30g^5 +24g^3h- 35g^2h^2 - 28h^3=(30g^5 +24g^3h)-(35g^2h^2+ 28h^3)=6g^3(5g^2+4h)-7h^2(5g^2+4h)=(5g^2+4h)(6g^3-7h^2).

14. x^2 -16=(x-4)(x+4) - B.

15. 81p^2 + 90p +25=(9p)^2+2\cdot 9p\cdot 5+5^2=(9p+5)^2, the length of one side is 9p+5.

Answer:

yes that is right

Step-by-step explanation:

usa test prep

The hypotenuse of a right triangle is 7 inches, and one of the legs is square root 13 inches. Find the length of the other leg.A)  6 inches
B)    square root 62 inches
C)     square root 128 inches

Answers

The answer is A) 6 inches.
First I punch square root 13 in the calculator and got 3.6055... then I square the number since the formula has square root on it and got 13. Now the equation look something like this: 13 + b^2 = 49. 49 because 7^2 is 49. Then i subtract 49 by 13 and got 36. Now the equation look like this: b^2 = 36. After I square both side, I get b=6 in. 

Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 2% for one year, could earn him simple interest totaling $180. How much does Benson pay in additional interest each month?

Answers

Given:
Interest = 180
term = 1 year
Interest rate = 2%

We need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal

Benson pays an additional interest of  9,000 each year. A monthly payment of 750.

9,000 / 12 months = 750 per month.

Based on the amount that Benson could earn if he invested the additional interest for one year, the additional interest per month is $750.

What additional interest is Benson paying?

This can be found by the formula:

= (Simple interest amount earned / Number of months in year) / Simple interest rate

Solving gives:

= (180 / 12) / 0.02

= 15 / 0.02

= $750

Find out more on additional interest at brainly.com/question/27037531.

#SPJ5
Other Questions
Can you help me with this​
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!Factor.
D = -38t + 220Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second? ​
Which pair of ratios is proportional? A. Equation B. Proportion C. Equation D. Equation