MATHEMATICS HIGH SCHOOL

72 is 25% of what number?

A. 35
B. 18
C. 180
D. 288

Answers

Answer 1
Answer: 72 is 25% of 288

Convert the percentage into a decimal:
(25)/(100) = 0.25

Divide 72 over the decimal:
(72)/(0.25) = 288
Answer 2
Answer: It is a quarter of d 72*2=144
144*2=288

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Determine the intercepts of the line x intercept ...... y intercept ?​

Answers

Answer:

Step-by-step explanation:

x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40

y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15

Answer:

x-intercept: (-40,0)

y-intercept: (0,15)

Step-by-step explanation:

The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.

The line intersects the y-axis at 15, so the y-intercept is (0, 15).

The line intersects the x-axis at -40, so the x-intercept is (-40, 0).

Hope this helps :)

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Answers

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Answer:

its a fruit

Step-by-step explanation:

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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

Six more than fives times a number (x) is at least 21. I need an inequality.

Answers

5n + 6 ≥ 21 would be the way to write this in math language.

It says that 5n + 6 is 21 or is more than 21.  The symbol ≥ says 21 or more in this case.

4^(5 )Identify the base and the exponent in the following expression.4 is the ______ and the 5 is the _______

Answers

The number 5 is the exponent or power and the number 4 is the base of the expression.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The exponential expression is given as,

⇒ (4)⁵

In the exponential expression aⁿ, the n is the exponent or power and a is the base of the expression.

Then in the exponential expression (4)⁵, the number 5 is the exponent or power and the number 4 is the base of the expression.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

4 is the BASE and 5 is the EXPONENT

Step-by-step explanation:

Thx i needed this answer :P

Which answer correctly estimates the quotient of 102.02 ÷ 4.011? a. about 25
b. about 250
c. about 2,500
d. about 25,000

Answers

102.02 / 4.011 =25.4350536

rounded 25.43

or 25
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