Mathematics High School

Solve the following quadratic function by utilizing the square root method. y = x2 - 64​

Solve The Following Quadratic Function By Utilizing The Square Root Method. Y = X2 - 64

Answers

Answer 1

Answer:

[tex]x=\pm\sqrt{y+64}[/tex]

Step-by-step explanation:

All you need to do is isolate the x.

First, add 64 to both sides:

[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]

Then, take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]

Actually, that is:

[tex]x=\pm\sqrt{y+64}[/tex]

Here's the reason for that. An example would be:

[tex]x^2=4[/tex]

Here, you'd take the square root of both sides to solve for x.

[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]

Right? But X could also be a -2, because a negative times a negative is a positive.

[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]

Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]

[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]

Related Questions

P: It's sunny.
Q: It's snowing. R: It's not raining.
Translate the following words into symbols: It's sunny and it's not snowing.
ΟΡΔΟ
O Q–> P
O PA~Q
O~P ^ Q

Answers

Answer: Choice C.  [tex]P \wedge \sim Q[/tex]

Explanation:

Anywhere you see "it's sunny", replace it with "P".

We'll replace the "and" with the symbol [tex]\wedge[/tex] which is used for conjunctions.

The squiggly [tex]\sim[/tex] refers to "not" and it negates or flips whatever statement Q is. Q stands for "it's snowing" so [tex]\sim Q[/tex] is the complete opposite of "it's not snowing".

We don't use statement R at all.

5p + 3 = 15

Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.

Answers

Well a2bsi and that is perfect emails of the snake that the parthagreom Theron form the itian monarch

The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5

Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ3


Need help plotting x and y intercept heres a better explanation of what I need to do

Answers

Do the x first it gives u the number then plot y

Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?

Answers

Answer:

Dan had $104

Paul had $40

Step-by-step explanation:

13x-32=5x+32

8x=64

x=8

8*5=40

13*8=104

What percent is x of y?

Remember answer in percent(%)

Answers

Answer:

Step-by-step explanation:

If we do not have any numbers de can think that x and y are any number

y is 100%

x is ?%

? = 100x / y

The percent that is x of y is 100x/y

straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown​

Answers

Answer:

take any value of x and substitute such as x is 0

y will be plus 6 so (0,6)

y is 0 so x will be minus 6 so (-6,0)

Step-by-step explanation:

take any value of x and y and substitute

Mark as brainliest!!!

The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this stock price?

Answers

Answer:

66.8421% decrease

Step-by-step explanation:

when x is 8 what is 4x

Answers

The answer is 32 because you do 4x8
The answer would be 32! If x=8, then you plug it in for x in the formula which is 4x. 4(8) will equal 32!

Could somebody help n explain pls thx

Answers

Answer:

lines are perpendicular

Step-by-step explanation:

• Parallel lines have equal slopes

• The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form and extract the slope

3x - 2y = - 6 ( subtract 3x from both sides )

- 2y = - 3x - 6 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

----------------------------------

4x + 6y = 2 ( subtract 4x from both sides )

6y = - 4x + 2 ( divide through by 6 )

y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

--------------------------------------

[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel

[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1

Thus the lines are perpendicular to each other

Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.

Answers

Answer:

-2.4, or -72/30 or -2 4/10

Step-by-step explanation:

m + np - q

m = 1/15

n = -1/3

p = -0.4

q = 2 1/3

1/15 + (1/3)(-0.4) - 2 1/3

1/15 + (-4/30) - 2 1/3

2/30 - 4/30 - 70/30

-2/30 - 70/30 = -72/30

-72/30 = -2.4

-Chetan K

On a map, 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?

Answers

2 inches = 60 miles:

60 miles/ 2 inches = 30 miles per inch.

30 miles per inch x 9 inches = 270 total miles.

Answer: 270 miles

pls I need a step by step on how to solve
2+4=6−2

Answers

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

Elliot purchased 3 trick cameras and 4 fake snakes and spent a total of $40. Kaci bought 7 trick cameras and 8 fake snakes, and her total was $85. Let x be the price of the trick cameras and let y be the price of the snakes.

Answers

It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Based on the information given, the equation to solve the question will be:

3x + 4y = 40 ...... i

7x + 8y = 85 ...... ii

Multiply equation i by 7

Multiply equation ii by 3

21x + 28y = 280

21x + 24y = 255

Subtract the equations

4y = 25

y = 25/4 = 6.25

Since 3x + 4y = 40

3x + 4(6.25) = 40

3x + 25 = 40

3x = 40 - 25.

3x = 15

x = 15/3 = 5

Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Read related link on:

https://brainly.com/question/25771535

0.22y × 0.06 =
please help me​

Answers

Answer:

0.0132y :DDDDDDDDDD

4. (Will give BRAINLIST to best answer) what’s the missing angle measure based on the given angle measures.

Answers

Answer:

dang sounds like a skill issue now give best

Step-by-step explanation:

Answer:

dang sounds like a skill issue

please help asap…………

Answers

Answer:

linear

Step-by-step explanation:

this equation will form a straight line and for each 'y' value there will only be one unique 'x' value

Use the commutative property to simplify the expression. niin 3.2.10 5 O A. (10) = 6 - O B. ( - ) - 10 = 2 O c. } } -10 = 10 = 3 - O D. 10.3.3 = 4.5 = 3 PES 30 2 5​

Answers

Answer:

Step-by-step explanation:

666

A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?

Answers

13.01 ounces are left

Where is the point (0, -5) located on the coordinate plane?

A. In quadrant IV

B. In quadrant III

C. On the x-axis

D. On the yaxis

Answers

On the y-axis.

Hope this helps!!

Sam has $10 to buy balloons at The Village Gift Shop. He wi He will buy at least one of each size of balloon. • He will buy as many balloons as he can. • He will spend as close to $10 as he carrwithout going over Using his rules, how many small balloons and large balloons answer. *PLEASEE HELP*​

Answers

Answer:

How much is each size balloon-?

Step-by-step explanation:

This is impossible to solve-???

A square based pyramid is 70.56N the pyramid exerts a pressure of 4900N/m2 on the table.
Work out the volume of the square based pyramid in cm.
Your must show your working.

Answers

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

y+7t=c+r solve for y

Answers

Answer:

y = c+r-7t

Step-by-step explanation:

7t- y+7t=c+r -7t

y = c+r-7t

Can someone please answer for a and c

Answers

Answer:

a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

First Triangle, this is a 45-45-90 triangle

so the side are 1-1-√2

so if one of the side is 3, you multiply the above by 3

1*3-1*3-√2*3

therefore, a=3√2

Second triangle

this is a 30-60-90 Triangle

so the sides are x-x√2-2x

for this triangle

x√2=6

x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator

x=6√2/4 --> simplify

x=[tex]\frac{3\sqrt{2}}{2}[/tex]

therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]

There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?

Answers

Answer:

704 students can fit in the cafeteria a day

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)

Answers

That’s the answer to the question

A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume? cubic centimeters

Answers

Answer: 288 cubic centimeters

50 points and brainliest Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function .

Answers

There are total three pairs

(-6,-3)->(3,7)(-5,-5)->(5,9)(-3,-3)->(6,7)

Look at the co-ordinates

The x co-ordinates increase with respect to y co-ordinates

Answer:

(-6,-3)->(3,7)

(-5,-5)->(5,9)

(-3,-3)->(6,7)

Step-by-step explanation:

(x+a)^2 -7 = x^2 +10x +b

Work out the value of a and b.

Answers

Answer:

(x+a)²-7=x²+10x+b

simplifying,we get

x²+2ax+a²-7=x²+10x+b

the coefficient of x on both sides should be equal

therefore

2a=10

a=10/2=5

also for b

a²-7=b

5²-7=25-7=b

b=18

a=5

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