MATHEMATICS HIGH SCHOOL

Solve equation using square root property
X2-8X+16=1

Answers

Answer 1
Answer: x^2-8x+16=1\\ \\x^2-8x+16-1=0\\ \\x^2-8x+15=0\\ \\\Delta = b^{2}-4ac =  (-8)^{2}-4*1*15=64-60=4  \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{8- \sqrt{4}}{2}=\frac{8-2}{2}= \frac{6}{2}=3\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{8+ \sqrt{4}}{2}=\frac{8+2}{2}= \frac{10}{2}=5\\ \\Answer : x=3 \ \ or \ \ x = 5

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Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.B.Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not. 5x − 1 = 2(x + 4) 5x − 1 = 2x + 8 7x − 1 = 8 7x = 7 x = 1

IS 2/6 LESS THAN 5/6

Answers

To answer your question in short, it is.
The answer is yes 
Because they are both 6 on the bottom, so you should see if 2 is less than 5 or not... and the answer is yes :))))
I hope this is helpful
have a nice day

Alexis has a piece of red paper that is 4 centimeters wide. Its length is twice its width. She glues a piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square centimeters of red paper will be visible on top?

Answers

It is given:Alexis has a piece of red paper that is 4 centimeters wide. Its length is twice its width .If  length is 4cm then width = 4x2= 8cm.

Area of red paper= length x width = 4x8=32 square cm.

Alexis glues a piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters.

Area of blue paper= 3x7=21 square cm.

Area of  red paper  that will be visible on top =32-21= 11 square cm.
(4x8) - (3x7) will give you what is showing of the red paper

Help pls and thank u

Answers

Answer:

V =12.167 cm^3

Step-by-step explanation:

V = s^3 is the volume of a cube where s is the side length

The side length of the cube is 2.3 cm

V = ( 2.3  cm) ^3

V =12.167 cm^3

Hey there!

The FORMULA:

V = s^3

Your EQUATION:

v = 2.3^3

SOLVING for the EQUATION

v = 2.3^3

2.3^3 = v

(2.3 cm)^3

≈ 2.3 cm * 2.3 cm * 2.3 cm

≈ 5.29 cm * 2.3 cm

≈ 12.167 cm^3

v ≈ 12.167 cm^3

Therefore, your answer is: 12.167 cm^3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLEASE HELP!!!!!!Which of the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is desired?

A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event.

B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event.

C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event.

D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

Answers

the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is:

D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

65 + 35 = 100
65/100 = 0.65

Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays$37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with
his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the
system of equations that can be solved to find the price of an adult ticket, a, and
the price of a student ticket, y.

Answers

2a + 2s = 37.50

a + 3s = 35.25

-2a - 6s = -70.50

-4s = -33.00

s = 8.25

2a + 2(8.25) = 37.50

2a + 16.50 = 37.50

2a = 21.00

a = 10.50

The answer is one adult ticket costs $10.50 and one student ticket costs $8.25.

Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary’s gross pay.

Answers

SS tax is 6.2% of 1,047.30

In math "of" means times, so

.062 x 1047.30 = 64.9326

Rounded to the nearest cent $64.93
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