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

hey i need all three boxes solved please
giving 12 points

Answers

Answer:

it says 6 points not 12 points

Step-by-step explanation:

PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Answer:

You can solve this with long division:

Answer:

Area = 2x²+3x+4

Step-by-step explanation:

Volume :

V= abh

Area:

S=ab or V:h

In our  case :

[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]

Let's use Synthetic division:

[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]

Then :

[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]

Area = V:h  ⇒ 2x²+3x+4

Please help and NO LINKS!

Answers

Answer:

2/100 is the answer to the question

Answer:

B

Step-by-step explanation:

what is the answere to 7 times 4/21

Answers

Answer:

[tex] \Large{\boxed{\sf 7 \times \dfrac{4}{21} = \dfrac{4}{3}}} [/tex]

[tex] \\ [/tex]

Explanation:

[tex] \blue{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf{\boxed{ \sf Multiplication \: of \: fractions \text{:}}}} \\ \\ \sf \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \\ \\ \end{array}}\\\end{gathered} \end{gathered}} [/tex]

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

First, write 7 as a fraction:

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} = \dfrac{7}{1} \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

Then, identify the value of a, b, c, and d:

a = 7b = 1c = 4d = 21

[tex] \\ [/tex]

We can finally find our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{7}{1} \times \dfrac{4}{21} = \dfrac{7 \times 4}{1 \times 21} = \dfrac{28}{21} [/tex]

[tex] \\ [/tex]

Let's simplify our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{28}{21} = \dfrac{4 \times 7}{4 \times 7} = \boxed{\boxed{\sf \dfrac{4}{3}}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the multiplication of two fractions here:

↦https://brainly.com/question/25774102

Match the expression to its simplified form

Answers

Answer:

2 exponent 5 = 32

5 exponent 3 = 125

2 - exponent 4 = 1/16

5 - exponent 2 = 1/25

Step-by-step explanation:

2. DB
The price of a shirt is $18.50, but you have a coupon that lowers
the price by 20%. What is the price of the shirt after using the
coupon?

Answers

Answer:

$14.80

Step-by-step explanation:

You just have to 0.8 * 18.50 becuase the new price is 80% of the old price. That would result in 14.80.

Answer: 14.8 dollars


Explanation: 18.50 x 0.80 = 14.8



20% off is 0.80

And 30% off is 0.70 and so on

10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)

Answers

Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

what is the value of |-3.25| and what is the value of |4.25|

Answers

Answer:

3.25 and 4.25

Step-by-step explanation:

absolute value just makes the numbers positive

Mr Denmark has 28 students in his class he wants to see them in seven equal rows how many students will be nitro

Answers

4 people would be in each row of there were 7 rows

bedmasss pls help)
8.8 - 2.2 x 4 + (5.4 – 4.2)​

Answers

Answer:

1.2

Step-by-step explanation:

8.8 - 2.2 x 4 + 1.2

8.8 - 8.8 + 1.2

1.2

The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.

Answers

Answer:

error= 0.1/2, 0.05

4.8 + 0.05 = 4.85

6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).

Step-by-step explanation:

Type the missing number in this sequence:
5,
12, 19,
26,

Answers

Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

[tex]5 + 12 + 19 + 26 + 33[/tex]

evaluate the expression when y=9 and x=8

6y-x​

Answers

Answer:

46

Step-by-step explanation:

because y=9 and x=8

the the equation (6y-x) becomes

(6x9)-8 which will be equal to 46

when worked out on a calculator.

PLEASE HELP FOR BRAINLIEST

Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2

Answers

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply ~

[tex]7x + 3(x - 2) - 4x + 8[/tex]

[tex]7x + 3x - 6 - 4x + 8[/tex]

[tex]7x + 3x - 4x - 6 + 8[/tex]

[tex]6x + 2[/tex]

Therefore, the correct choice is ~ A

Please answer ASAP!! And not just for points..thank ya:)

Answers

Answer:

It should be 24

Step-by-step explanation:

Sorry if this is wrong

Step-by-step explanation:

Separate it into 2 figures.

the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.

3 × 8 = 24

5 × 4 = 20

20 + 24 = 44

The area of the figure is 44 square meters.

Jalil mixed

3/

8 cup of sugar with


1




of water. How many more cups of water

than sugar did he use in his mixture?

Answers

Answer:

Jalil used 5/8 more cups of water than sugar

Step-by-step explanation:

Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9. She marks up the candles 85%. How much does Jalisa charge per candle?

Answers

Answer:

$16.65

Step-by-step explanation:

How much does Jalisa charge per candle?

$9 + 85% =$9 + $9*85/100 =$9*1.85 =$16.65

What is 6 percent of 435000

Answers

Answer:

26,100

Step-by-step explanation:

[Given] 6 percent of 435000

[6% as a decimal] 0.06 of 435000

[Multiply] 26,100

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

4.
A recipe for 12 cookies calls for 15 cups of milk, 2 cups of flour, and 1 cups of other
ingredients. How many total cups of milk, flour, and other ingredients are needed to make
24 cookies?
a) 103 cups
b) 116 cups
C) 11 cups
d) 103 cups

Answers

Answer:

2 cups of milk, 4 cups of flour, and 2 cups of other ingredients

Step-by-step explanation:

multiply them by 2

Pick two that helppppp please

Answers

Answer:

acute and scalene

Step-by-step explanation:

.

.

.

.

.

Answer:

Acute and Isosceles

Step-by-step explanation:

Acute= less than 90 degrees

Isosceles= two sides of equal length.

What is the slope of the graph shown below?

Answers

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

The number of children attending swimming lessons increased by 35 %. 20 children attended the lessons before the increase.
How many children now attend swimming lessons after the increase?

Answers

27 Children

20+ (0.35* 20) = 27

sir? sir? are u there? help me -_-

Answers

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]

T
Зл
Solve for the interval <<
2
2
3. 2 cos? 0-5 cos e = 3
(it put it in wrong so i put a picture of the question)

Answers

Answer:

540 g m/s.

Step-by-step explanation:

6-4x=7x-9x+2 whats the value

Answers

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

helppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

please help giving brainliest and big points it would be greatly appreciated :))

Answers

Answer:

X = 4 , Y = b , Z = 2a

Step-by-step explanation:

2b(2ab)² - a(2b²)² ← expand parenthesis

= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis

= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term

= 4ab³(2a - b)

Compare terms to XaY³(Z - b)

with X = 4 , Y = b , Z = 2a

i need geometry help...

Answers

sin(h) = 8/17
Hope this helps

Help please quick I don’t understand this stuff

Answers

Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

The product of a number t and 3 decreased by 1 is 11.Write an equation that models the verbal sentence. Solve the equation. What is the number?

Answers

3t-1=11
Add one on both sides
3t=12
Divide 3 on both sides
t=4
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