[tex]x^{2}-8x+16=25[/tex]

Answers

Answer 1

Answer:

x = 9 ; -1

Step-by-step explanation:

[tex]x {}^{2} - 8x + 16 = 25 \\ x {}^{2} - 8x + 16 - 25 = 0 \\ {x}^{2} - 8x - 9 = 0 \\ (x + 1)(x - 9) = 0 \\ x = - 1 \\ x = 9[/tex]


Related Questions

A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 6, negative 4.5, negative 3, negative 1.5. A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 6.1, 2.1, negative 1.9, negative 5.9.
Complete the statements about the system of linear equations represented by the tables.

The equation representing the left table is

.

The equation representing the right table is

.

The solution to the system of equations is

Answers

Answer:

The equation representing the left table is:  

y = 1.5x – 6

The equation representing the right table is:  

y = –4x + 6.1

The solution to the system of equations is:  

(2.2, –2.7)

Equation representing the left table is y=1.5x-6, Equation representing the right table is y=-4x+6.1 and solution is (2.2, -2.7).

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The first table is

x            y

0           -6

1            -4.5

2            -3

3             -1.5

Slope = -4.5+6/1

=1.5

Now let us find y intercept

-6=1.5(0)+b

-6=b

So the equation representing the left table is y=1.5x-6

Now let us find second table

x            y

0           6.1

1             2.1

2           -1.9

3            -5.9

m=2.1-6.1/1=-4

Now y intercept

2.1=-4+b

b=2.1+4

b=6.1

Equation representing the right table is y=-4x+6.1

Now equate two equations

1.5x-6=-4x+6.1

1.5x+4x=6.1+6

5.5x=12.1

x=12.1/5.5

x=2.2

and y=-4(2.2)+6.1

y=-8.8+6.1

y=-2.7

Hence, equation representing the left table is y=1.5x-6, Equation representing the right table is y=-4x+6.1 and solution is (2.2, -2.7).

To learn more on slope intercept form click:

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pleaseee help ill mark brainliest i swear please help

Answers

Answer:

45

Step-by-step explanation:

each bracelet takes 15 min

15*3=45

1 hour = 60 minutes..

In 1 hour she makes 4

In 2 hours (120 minutes) she makes 8

So in each hour she makes 4 ( 8 /2 = 4)

So In 3 hours she will make 3 x 4 = 12 bracelets

Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.

a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)

Answers

Answer: A= 1.60 sec

And I am not sure if B is correct, but I got 14.77 ft.

Step-by-step explanation:

t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -

h(t) = 5 + 25t - 16t²

where [t] is the time in seconds.

[A] -

At h = 4ft, we can write -

4 = 5 + 25t - 16t²

- 16t² + 25t + 1 = 0

On solving, we get -

t = 1.602 seconds

[B] -

We have -

h(t) = 5 + 25t - 16t²

For maximum height -

dh/dt = 0

d/dt(5 + 25t - 16t²) = 0

0 + 25 - 32t = 0

32t = 25

t = 25/32

t = 0.79 seconds

Therefore -

t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.

To solve more questions on Equation Modelling, visit the link below -

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Please help quickly!!!!

Answers

Answer:

x=13

Step-by-step explanation:

109-5=104

104/8=13

x=13

7th-grade equation math. Will give brainiest.

Answers

Answer:

x = 14

Step-by-step explanation:

A triangle has a base of 10 centimeters and a height of 12 centimeters. A rectangle has a base of 10 centimeters and a height of 12 centimeters.
What are the areas of the figures?



The area of the triangle is
___ cm2.


The area of the rectangle is
___ cm2.

Answers

The area of the triangle is

60 cm2.

The area of the rectangle is

240 cm2.

In a two-dimensional plane, an area of triangle is equal to the sum of the areas of its three sides.

To calculate a rectangle's area, count the number of square units that fit within the rectangle's perimeter.

Area of triangle = h x b / 2

Given

h = 12

b =10

hence

A= h x b / 2

  = 12 x 10 / 2

  = 120 / 2

  = 60 cm2

Area of rectangle = l x b

Given

l = 12

b = 10

hence

area of rectangle  = l x b

                          = 12 x 10

                         = 120 cm2

Learn more about the area of rectangles and triangles - https://brainly.com/question/25292087

the answer is 60 and 120

A square is cut diagonally into two equal parts. If each part has an area of 50 cm2, then what is the perimeter of each part?

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary. ​

Answers

Answer:

5^2+h^2=12^2, the answer would be ~10.97 ft.

Step-by-step explanation:

I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.

Pythagorean theorem is :

a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.

Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.

Find the greatest common factor of 18, 36,18,

Answers

Answer:

Step-by-step explanation:

18=2(3)3

36=2(2)3(3)

The GCF will be the product of their common factors, specifically 2(3)3=18

find two consecutive integers such that the sum of their square is 60

Answers

Not possible.
n^2+(n+1)^2=60

2n^2+2n+1=60

This equation has only non-integral solutions.

What is the meaning of the word function

Answers

Answer:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Step-by-step explanation:

If f (x) - 3(x + 5) +-, what is f(a + 2)?
4.
A. 3(a + 7) +
4+2
4
B. 3(a + 2) +- + 2
C. 30 (4) +5) +-
ja) + 2

Answers

Answer:

A

Step-by-step explanation:

Just plug in [tex]x=a+2[/tex].

Urgent!
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)?
A. 2x + 6
B. 2x - 6
C. 2x + 4
D. 2x - 4, r = 1

Answers

Answer: The answer would be c  2x + 4

Step-by-step explanation:

Yesterday, there were 50 problems assigned for math homework. Nate got 28 out of 50 problems correct. What percentage did Nate get correct?

Answers

Answer:

56

Step-by-step explanation:

28/50 thats what you have now you need to make it into 100 so you do 50x2=100 28x2=56 the answer 56/100 and the max is 100 percent so the answer is Nate Got 56 percent on the math homework

Type the correct answer in the box.
The product of (3 - 4) and (blank)
is 25.

Answers

Answer:

-25

Step-by-step explanation:

Since product mean multiply, we multiply (3-4) and (blank), which we'll call "n".

(3-4)n = 25

subtract in parentheses

(-1)n = 25

remove parentheses

-1n = 25

swap signs

n = -25

what are the first five terms the sequence: an = 3n + 7​

Answers

Answer:

Step-by-step explanation:

we assume that we starts with n=1

a(1)=3*1+7=10

a(2)=6+7=13

a(3)=9+7=16

a(4) will be 19, a(5)=22 and so on

which set of ordered pairs does not represent a function
a. {(0,0),(1,1),(2,2),(3,3)
b.{(0,0),(1,1),(1,2),(1,3)
c.{(1,0),(2,0),(3,0),(4,0)
d.{(1,0),(1,2),(2,3),(3,4)

Answers

Answer: i think C

Step-by-step explanation: Well the X Value would have to change because if you graphed it it would be a straight line going up which wouldnt pass a through a vertical line.

Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 5 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.

Q1. How many cups of flour are needed to make 1 loaf of bread?

Answers

Answer:

The answer is: One loaf of bread contains one and halve cups of flour.

Answer:

The answer is: One loaf of bread contains one and halve cups of flour.

Step-by-step explanation:

Can someone help me please and thank you ( i'll give brainliest and extra points)

Which table represents a quadratic function?

Answers

Answer:

D

Step-by-step explanation:

A table of values can be generated from a quadratic function by substituting the x-values and calculating the values for f(x). When looking at a table of values for a quadratic function, the x-intercepts represent the x-values where y = 0. This corresponds to the x-values where f(x) is 0 in function notation.

Step-by-step explanation:

c

because it ca. help you then way it was explain

Which table of value is correct for the equation y = - x + 3

Answers

Answer:

D

Step-by-step explanation:

the answer for this question

y = - x + 3

2.3 + 3(5 - 2.1p) = -13.37

Answers

The answer is,

[tex]p = 4.868254[/tex]

which is near to, 4.9.

The bronx zoo opened at 9.00 am. In the first hour 280 people purchased admission tickets. In the second hour 25 percent more people purchased admission people than the first hour . Each ticket cost 16.25. What was the total amount of money paid for all the tickets purchased in the first two hours

Answers

Answer:

Total amount paid for tickets in the two hours =  $10,237.50

Step-by-step explanation:

Step 1

Ist Hour, 280 tickets were sold at the cost of $16.25

Amount of money made in the first hour= Number of people who purchased ticket  x price of a ticket

=280 x 16.25 =$4,550

2nd Hour, 25 % more people purchased ,

which means the total number of people who purchased tickets =

1.25 x 280= 350

Amount of money made in second hour =  Number of people who purchased ticket  x price of a ticket 350 x 16.25 =$5,687.5

Step 2

Total amount paid for tickets in the two hours =  Amount of money made in the first hour +Amount of money made in second hour

=$4,550+ $5,687.5

=$10,237.50

how do you graph 7x + 2y = -8

Answers

Answer:You set it up as y=mx+b

Step-by-step explanation:

Which equation can be used to solve for x in the parallelogram below?


A) 3x-12=6x+12

B) (7x-8)+(6x+12)=90

C) 3x-12=2x+8

D) (7x-8)+(6x+12)=180

Answers

Answer:

B. (3x - 12)° = (2x + 8)°

Step-by-step explanation:

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

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

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

plz help me this is super hard!!!!

Answers

Answer:

connect ideas

Step-by-step explanation:

have a great day

Answer:  B

Step-by-step explanation:

*. Your club is trying to raise money for a trip to Atlanta. They purchase boxes of candy to help fund the trip. Each box contains 60 candy bars. Each box costs $45. How much money does the club have to charge for each candy bar to make a profit of $39 per box? A. $2.60 per candy bar B. $1.25 per candy bar C. $1.40 per candy bar D. $2.69 per candy bar​

Answers

The school has to sell each box for $40 to make a profit of $10 per box because each box costs $30.
There are 50 candy bars per box.
$40/50=$0.80 per candy bar
It's costing the school $30/50=$0.60 per candy bar to buy.
The school sells each candy bar for $0.80, making a profit of $0.20 per candy bar.
50*$0.20=$10.00

Can someone help me

Answers

Answer:

50%

Step-by-step explanation:

because that say each square represent a Whole that is 100%

and each triangle represents the 1/2 Of a whole that is 50%

The percent is 50% because as you see that it is only shading half of that square!

We can't give you the direct answer but note: Well we cannot give the direct answers, this a a big part in the question, you can see that it gives 50% but there is also the other whole sqaure :)

2n+15=87
step by step, like detailed please LMAK

Answers

first subtract 15 from both sides then you get 2n= 72 then divide by 2 on both side and get n=36

Answer:

n=36

Step-by-step explanation:

To isolate n you need to subtract 15 from both sides giving you

2n=72

Then to further isolate n you need to divide 2 from both sides giving you the answer

n=36

A right triangle has legs with lengths of 6in and 8in. What is the length of the hypotenuse

Answers

You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

Answer: 10

Step-by-step explanation:

the formula is √a^2+b^2=c^2

so your equation should look like this √6^2+8^2=c^2

6·6=36

8·8=64

√36+64

√100=10

the hypotenuse or c^2 is 10

IS THIS CORRECT PLEASE

Answers

Answer:

I honestly forgot

Step-by-step explanation:

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