How do you solve for x?

2(x - 3)^2 - 32 = 0

Answers

Answer 1

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]x = - 1 \\ x = \: 7[/tex]

Step-by-step explanation:

[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]

divide both sides

[tex](x - 3 {)}^{2} - 16 = 0[/tex]

use - b² =(a - b ) (a + b) to factor the expression

[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]

calculate the difference and the sum

[tex](x - 7) \times (x + 1) = 0[/tex]

when the product of factors equals 0 ,at least one factor is 0

[tex]x - 7 = 0 \\ x + 1 = 0[/tex]

solve the equation for x

[tex]x = 7 \\ x + 1 = 0[/tex]

the equation has 2 solutions

[tex]x = - 1 \\ x = 7[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: [/tex]


Related Questions

10 points, please fast !!!!!

Answers

Answer:

2/1 a improper fracrion 1/2 is a proper fraction

Step-by-step explanation: i just know those two sorry

Answer:

slope = 2

Step-by-step explanation:

slope is defined as change in y over change in x. for every +1 in the x direction, y receives +2. 2/1 = 2

y+x=1 2x+y=5 x+y=5 solve

Answers

Answer:

x=5-y

Step-by-step explanation:

Hello I need A helping Hand

Answers

Hi!

The second gym has a higher joining fee because it is $50 rather than $30.

The first gym has a higher monthly rate because it is $15 rather than $10

Hope this help!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

help for this question, please and thanks​

Answers

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

You will probably have to multiply

Evaluate each expression for a=7,b=4,and c=-3.

3a-5b =________

7-3a+5a+15 =________

15a^2-17〖bc〗^2 =________

Pls help me

Answers

Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

                                                       =21-20

                                                       =1

7-3a+5a+15=7-3(7)+5(7)+15

                   =7-21+35+15

                   =-14+50

                   =36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

                         =105^2-204^2

                         =210-408

                         =-198

Why is this wrong?? Trying to do test corrections

Answers

Answer:

See answer below

Step-by-step explanation:

  y = one time fee

  35x = hourly rate( hours worked)

  35x + y = $190

   y =  - 35x = 190

 

  $35 per hours ×  hours work and you did not used the total cost $190

Next time rewrite the sentence and translate into an equation.

The  customers service charges = one-time fee + hourly rate$ ( hours worked)

                                          190   =  y + 35(x)    point slope form

                                        - 35x + 190 = y

-a/6 + 7 = -14 I want to know how to do this

Answers

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

how do i find the x and y intercepts of y=2x^2+x-3

Answers

The y intercept for this equation is:
y=-3
Solve the equation: y=2x0^2+0-3

The x intercept for this equation is:
x=-3/2 (x=1)
Have a great day/night

An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an

Answers

Step-by-step explanation:

arithmetic sequence means every new term is the previous term plus a certain constant.

as we can see, this constant is +4 in our case.

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27

...

so, we have

a1 = 15

a2 = a1 + 4 = 15 + 4 = 19

a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23

...

an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4

0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

I think is non proportion

The graph of f(x) = 2x is shown on the grid.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through points (0, 1), (1, 2), (2, 4).

The graph of g(x) = (One-half)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.

Answers

Answer:

Your answer would be the second option.

Explanation:

As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)

Hope This Helps!

The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

What is exponential growth or decay function?

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

The graph of f(x) = 2x is shown.

it is looking for an exponential decay function, As an exponential function has to be sloping negatively.

Draw the graph of the equation by using the table shown below:

x      f(x)

-2      -4

-1       -2

0       0

The graph the exponential function approaches y = 0 in quadrant 1.

The function increases into quadrant 2 and It crosses the y-axis at (0, 1).

Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ2

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

For the equation y = 2 = – 21 find x when y = 2.​

Answers

Answer: 2 = 3/4x -2 1/2

2 = 3/4•x -(2 + 1/2)

3x = 18

x = 6

Answer: Hope This Helps

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (10/3 ,0)

y-intercept(s): (0−5/2)

In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer:

= 215008. 21 in²

Step-by-step explanation:

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

David walked for 20 minutes with the speed of 3 mph. How far did he walk?

HELP!!!

Answers

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

how to convert m to mm

Answers

You need to multiply the number that is needed to get to mm by 1000

Example: 4m x 1000 = 4000mm
or
4m ——> 4000mm

work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)

Answers

the answer should be y=1/2x+2

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.

Answers

Answer:

15 in i am guessing

Step-by-step explanation:

i need to know the height of the can first

The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.

What is a proportional relationship?

A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.

Given that, the input and the output variables in this problem are as follows:

Input variable: Actual height = 80 in

Output variable: Height on set = 44 in

k = 44/80

k = 0.55.

Therefore, the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

Can you please help I can’t play in my basketball game Tuesday if I can’t pass this !

Answers

Answer:

i think its 71.1 but idrk

basically i hope you're able to play game good luck man

!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

The answer is A plot the points

If line L is parallel to line M, solve for x and y​

Answers

Answer:

x = 18, y = 5

Step-by-step explanation:

Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal.  Thus, 7x - 23 = 49 + 3x, or -72 = 2x.  Thus,

                                  4x = 72 and x = 18.

Check:  Is 7x - 23  =  49 + 3x true when x = 18?

                 7(18) - 23 =  49 + 3(18)?

                       103    =     103?  yes

Also:  If we concentrate on the triangle in the middle of the picture:

49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)

Then:  49 + 180 + 23 - 7x + 11y - 1 = 180.  But x = 18, so we have:

125 + 11y = 180, or 11y = 55, and so y = 5

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

Evaluate the expression for x = 5:

2•(x-2)^2+5​​

Answers

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

10 to the power of -2

Answers

Answer:

0.01

Step-by-step explanation:

your welcome :D have a good day pls mark me with the crown (whatever its called lol)

The answer could be -20 or (10)-2
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