MATHEMATICS HIGH SCHOOL

I am not sure if this is right can someone check it ASAP please

Answers

Answer 1

Answer:

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

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Simplify each radical expression. Leave in radical form. Show your work

Which point represents a solution to the system of inequalities displayed in the following graph? x ≥ -3
y ≤ -x + 2
y > -4

(−3, 7)

(0, −2)

(4, 3)

(1, −4)

Answers

Answer:

0, -2

Step-by-step explanation:

The system of inequalities given is:

x ≥ -3

y ≤ -x + 2

y > -4

To find which point represents a solution to this system, we need to check each option and see if it satisfies all three inequalities.

Let's start by checking the first option, (-3, 7):

For x ≥ -3: Since x = -3 in this case, it satisfies the first inequality.

For y ≤ -x + 2: Substituting x = -3 and y = 7, we get 7 ≤ -(-3) + 2, which simplifies to 7 ≤ 5. This inequality is not true, so (-3, 7) is not a solution.

Now let's check the second option, (0, -2):

For x ≥ -3: Since x = 0 in this case, it satisfies the first inequality.

For y ≤ -x + 2: Substituting x = 0 and y = -2, we get -2 ≤ -(0) + 2, which simplifies to -2 ≤ 2. This inequality is true, so (0, -2) satisfies the second inequality.

For y > -4: Substituting y = -2, we get -2 > -4. This inequality is also true, so (0, -2) satisfies all three inequalities.

Therefore, the point (0, -2) represents a solution to the given system of inequalities.

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below.

Answers

Answer:

3.00

Step-by-step explanation:

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

Find the total amount of interest earned on this savings account. Time: 7 years Interest Rate: 2.5% Principal: $4,556 Interest:

Answers

Interest rate is a portion of a loan that is charged as interest. Usually, it is expressed as an annual interest rate. It has two types which are the simple interest rate and the compounding interest rate. For this, we have a simple interest rate. Calculations are as follows:

Interest earned = 4556 x 0.025 x 7 = $797.3

Answer:

$797.30

Step-by-step explanation:

I did the assignment .,.

What is one-fourth of four sevenths

Answers

The one-fourth of four sevenths is $(1)/(7)$ .

Given that,

The fraction is one-fourth of four sevenths.
We need to solve it.

Based on the above information, the calculation is as follows:

$= (1)/(4) * (4)/(7)\n\n= (4)/(28) \n\n= (1)/(7)$

Therefore, we can conclude that The one-fourth of four sevenths is $(1)/(7)$ .

Learn more: brainly.com/question/6201432

1/4 x 4/7
do the top numbers first. 1 x 4 is 4do bottom numbers next 4 x 7 is 28

that leaves you with 4/28. But you have to reduce.

4/28 = 2/14 = 1/7 (notice I just cut both the top and bottom numbers in half each time I reduced until I couldn't reduce any more).
So, final answer is 1/7

Given f(x) = 3x + 4, what is f(8)? help me please A.
4

B.
8

C.
15

D.
28

Answers

Hello,

Answer D

f(8)=3*8+4=24+4=28

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