Solve for x. 4(4x-8)^2+16=25

Answers

Answer 1

Let's solve your equation step-by-step.

4(4x−8)2+16=25

Step 1: Simplify both sides of the equation.

64x2−256x+272=25

Step 2: Subtract 25 from both sides.

64x2−256x+272−25=25−25

64x2−256x+247=0

Step 3: Factor left side of equation.

(8x−13)(8x−19)=0

Step 4: Set factors equal to 0.

8x−13=0 or 8x−19=0

x=13/8 or x=19/8


Related Questions

For exercise after work, Albert (A) went running and Tanisha (T) walked for exercise. Their times and distances are shown in the graph below. How much faster was Albert running than Tanisha walking, in miles per hour? Explain how you found your answer.

image

A.
Albert ran 3 miles per hour faster because Albert runs 6 miles per hour and Tanisha walks 3 miles per hour.

B.
Albert ran 10 miles per hour faster because Albert runs 10 miles per hour and Tanisha walks 20 miles per hour.

C.
Albert ran 3 miles per hour faster because Albert runs 10 miles per hour and Tanisha walks 20 miles per hour.

D.
Albert ran 10 miles per hour faster because Albert runs 6 miles per hour and Tanisha walks 3 miles per hour.

Answers

Answer:

c

Step-by-step explanation:

scale A is the image figure of scale B​

Answers

18.5 you’d add 2.5 to 16 since 12.5 - 10 is 2.5 hope this helps

Answer:

x=20

Step-by-step explanation:

12.5/1.25=10

This means that to get from Figure B to A, you would need to divide by 1.25

So to get from Figure A to B, you would have to multiply by 1.25

16*1.25=20

List the sides from LEAST to GREATEST.

Answers

Answer:

i think the answer is de,ce,cd

Heeeeeeeellllllpppppppppp!

Answers

Answer:

D

Step-by-step explanation:

15 - 2.5x = 40 ( isolate the term in x by subtracting 15 from both sides )

- 2.5x = 40 - 15 = 25 ← Step 1

divide both sides by - 2.5

x = 25 ÷ - 2.5 ← Step 2

x = - 10

help or else the dog dies >:( no silly answers

Answers

Answer:

3

Step-by-step explanation:

3/10 is 1/3 of 9/10

Answer: 2.7?

Step-by-step explanation:

PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!!

Answers

Answer:

A and D represent linear functions

If a population grows by 69%, what is the multiplier?

Answers

The percentage duhhhh

Can someone please help me. really need help. question and answer options are in the photo.

Answers

Answer:

Hey give it a try but my answer is 1.5 miles

Step-by-step explanation:

Answer:

I believe it is B.

Step-by-step explanation:

Hope this helps

Jack has a points card for a movie theater. He receives 55 rewards points just for signing up. He earns 12.5 points for each visit to the movie theater. He needs at least 205 points for a free movie ticket. Write and solve an inequality which can be used to determine vv, the number of visits Jack can make to earn his first free movie ticket.

Answers

Answer: See explanation

Step-by-step explanation:

Since Jack receives 55 rewards points just for signing up and earns 12.5 points for each visit to the movie theater and needs at least 205 points for a free movie ticket.

The inequality which can be used to determine v, the number of visits Jack can make to earn his first free movie ticket will be:

55 + 12.5v ≥ 205

12.5v ≥ 205 - 55

12.5v ≥ 150

v ≥ 150/12.5

v ≥ 12

The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits

Graph the linear equation -3x + 4y = 24
4

Answers

ill convert it to y=mx+b form

4y=3x+24

y=3/4x+6

here's a graph


Janet picked forty-eight tulips and twenty-two roses to make flower bouquets. If she only
used twenty-three of the flowers though, how many extra flowers did Janet pick?

Answers

Answer:

47

Step-by-step explanation:

48 + 22 = 70

70 - 23 = 47

Hope this helped! Let me know if you need a better explanation!

Jeremy was 45 inches tall when he started kindergarten. He grew an average of 2.5
inches every year. Jeremy is now 62.5 inches tall.
Which equation can be used to find how many years ago Jeremy started kindergarten,
and how many years ago was it?

Answers

Answer:

subtraction

Step-by-step explanation:

its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it

7 divided by 1/3 help asapp

Answers

Answer:

7 divided by 1/3 is 21

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH THIS ASAP I NEED THE EXPLANATION PLEASE

Answers

Answer:

could you get a better picture of it so I could answer or for you?

Can someone help me with this pleasePLSSSSSSSS

Answers

Answer:

What is question #3?

Step-by-step explanation:

Drag the phrases into the box to match each expression.

(A) 6/x+3
(B) 3x-6
(C) 6(x+3)

(1) 6 divided by a number 3 times
(2) 6 less than 3 plus a number
(3) 3 more than the quotient of 6 and a number
(4) 3 more than the product of 6 and a number
(5) 6 more than a number divided by 3
(6) the product of 6 and the sum of a number and 3
(7) 6 less than the product of 3 and a number​

Answers

Answer:

(A) = (3). (B) = (7). (C) = (6)

someone please help me asap ​

Answers

Answer: B.

Step-by-step explanation:

4. Your Language Arts teacher expects
you to read an entire book over the 3 day
weekend. On Tuesday you are on page 60
and are 1/5 of the way done. How many
pages are in the book?

Answers

There are 600 pages in the book.

In this question, we have been given a situation where your Language Arts teacher expects you to read an entire book over the 3 day weekend.

On Tuesday you are on page 60 and are 1/5 of the way done.

We have been given a fraction 1/5.

We need to find the number of pages in the book.

Let 'n' be the number of pages in the book.

60 = 1/5 × n

n = 5 × 60

n = 300

Therefore, there are 600 pages in the book.

Learn more about the fraction here:

https://brainly.com/question/8969674

#SPJ1

1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps. Evaluate the expression 2a + b - 3 when a=5 and b=2. Set up the expression and show your work.

Answers

Answer:

11

or

2(5)+2-3

Step-by-step explanation:

if a = 5 and b=2,

you add it into the expression.

2a + b -3 --> 2(5) + 2 - 3

all you have to do is replace the letters with the (given) numbers.

then, solve.

2(5) = 10

2-3= 1

10+1 =11

the answer is 11.

:)

The Value for the expression 2a + b -3 is 9.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Expression: 2a+ b -3

Now, for a=5 and b=2 thee expression gives

= 2a + b -3

= 2(5) + 2 -3

= 10 +2 - 3

= 12 - 3

= 9

Hence, the Expression valued 9.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ5

Find sin ( A). с 50 14 B -A 48

Answers

Answer: Murder is a sin

Step-by-step explanation:

#5. What's the difference between a terminating decimal and non-terminating
decimal?

Answers

Answer:

A terminating decimal ends while a non-terminating decimals repeats itself.

Step-by-step explanation:

2.50-terminating decimal

2.3333...-non-terminating decimal

Answer:

good answer thats was a very helpful answer

help i don’t understand what this is

Answers

Answer:

s 3i I mean it's 3

Step-by-step explanation:

it is say what is the square root of 15 so what gives you 15 3

Please help!! Urgent for homework

Answers

it’s 7 square 5 and for A

Answer:

a) 50

b) 12√6

Step-by-step explanation:

What is the equation for the
following table:
X Y
1 -5
2 -7
3 -9
4 -11

Answers

-7 - (-5) / 2 - 1 = -2/1

y= mx+b

-5= -2(1) + b

-5 = -2 + b

b = -3

equation: y= -2x-3

what is (7^6)^2 simplified

Answers

Answer:

13841287201

Step-by-step explanation:

7^6=117649

117649^2=13841287201

Answer:

[tex]\sf 7^{12}[/tex]

Step-by-step explanation:

Exponent rule:

         [tex]\sf \boxed{\bf (a^m)^n=a^{m*n}}[/tex]

To simplify [tex]\sf(7^2)^6[/tex] multiply the powers.

[tex]\sf (7^6)^2=7^{6*2}[/tex]

        [tex]\sf = 7^{12}[/tex]

How does knowing one linear factor of a polynomial help find the other factors?

Answers

Answer:

How does knowing one linear factor of a polynomial help find the other factors?

Step-by-step explanation:

f(x)=(x−3)(x−1)(x+2)(x+6)

f(x)=(x−2)(x−2)(x+3)(x+5)

f(x)=(x−5)(x−3)(x+2)(x+2)

f(x)=(x−8)(x−1)(x+3)(x+5)

f(x)=(x−2)(x−1)(x+4)(x+4)

Correct answer:

f(x)=(x−2)(x−2)(x+3)(x+5)

Explanation:

We begin by attempting to find any rational roots using the Rational Root Theorem, which states that the possible rational roots are the positive or negative versions of the possible fractional combinations formed by placing a factor of the constant term in the numerator and a factor of the leading coefficient in the denominator.

That was a lot of wordage in one sentence, so let's break that down.  We begin with our polynomial.

f(x)=x4+4x3−13x2−28x+60

The constant term is the term without a variable (just a plain number).  In our case the constant is 60.  What are the possible factors of 60?

1,2,3,4,5,6,10,12,15,20,30,60

The leading coefficient is the number in front of the largest power of the variable.  When the terms are listed in descending order (highest to lowest power), the leading coefficient is always the first number.  In our case the leading coefficient is hard to spot.  Since there is no number in front of x4, the coefficient is 1 by default.

This is nice because the only factor of 1 is well ... 1.

We then create all the possible fractions with a factor of the constant in the numerator and a factor of the leading coefficient in the denominator.  This actually isn't as bad as it could be since our only possible denominator is 1.  Any fraction with a denominator of 1 is just the numerator.  Therfore, our possible "fractions" are simply

1,2,3,4,5,6,10,12,15,20,30,60

However, we must consider the positive or negative versions of these, so our final list of possible rational roots is

±1,±2,±3,±4,±5,±6,±10±,1±2,±15,±20,±30,±60

Unfortunately, this is where the process (at least without the assitance of a graphing calculator) becomes less fun.  Using synthetic division, we must simply try each possible root until we have success. There's really no consistent rule to tell us where to start. Generally starting with the smaller whole numbers is best because the synthetic division is easier.  Therefore, we could begin with 1 then proceed to −1,2,−2, etc.  

For the sake of keeping this explanation as short as possible, I am going to skip straight to 2, where we will first find success.

Therefore, 2 is a root.  However, it is always important to check to see if a root is in fact a double root (it works twice).  Therefore, let's try it one more time.

2 does in fact work twice and is thus a double root.  Since we only have three terms remainng, we can convert from synthetic back to an algebraic expression.

f(x)=x2+8x+15

We can then factor.

f(x)=(x+3)(x+5)

Writing our root of 2 as an algebraic expression gives (x−2).  Since we have double root, we need two of these.  Therfore, our final factored expression is.

f(x)=(x−2)(x−2)(x+3)(x+5)

5 over 30 = x over 90

Answers

30 times 3 gives you 90 so 5 times 3 is 15.

[tex]\frac{5}{30} =\frac{x}{90}[/tex]

Match the denominators:

[tex]\frac{5}{30} *\frac{3}{3}= \frac{15}{90}[/tex]

x = 15

Check your work:

[tex]\frac{15}{90} \div \frac{3}{3} = \frac{5}{30}[/tex]

We know that x = 15

Which one is it please help

Answers

Answer:

D

Step-by-step explanation:

I have studied this Equanitary Problematic job and Come to conclusion that the answer is of the Upon the letter D or as many other livings would say The numbering of Four.

Hope This has helped you tons a bunch and I would appreciate the giving of what is it called.. um... This Brainliest. I hear it’s your Finest dish! I will be the judge of that .

The equation y-3--2(x-4) is written in point-slope form. What is the equation in slope-intercept form?
is
o y=-2x - 1 /
O y=-2x+
O y=-2x + 1 / 2
O y=-2x - 1 / 2
7
6
Please help fast thanks!

Answers

Answer:

Its  y=-2x+7/6

Step-by-step explanation:

Choose the best answer.
A
B
C
D

Answers

Answer:

D :)

Step-by-step explanation:

it would have to be D, good luck!
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