How would I find the values of x and y?

Answer:

C

Step-by-step explanation:

Sq root of 156 HAS to be between 12 and 13

12+(13-12)/2

12+1/2

12.5

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Learn more on solving Quadratic equations here: https://brainly.com/question/8649555

Answer:

b is your answer hope it helps

Step-by-step explanation:

Answer:

Write  

1

as a fraction with a common denominator.

−

√

5

5

−

3

5

Combine the numerators over the common denominator.

−

√

5

−

3

5

Subtract  

3

from  

5

.

−

√

2

5

Rewrite  

√

2

5

as  

√

2

√

5

.

−

√

2

√

5

Multiply  

√

2

√

5

by  

√

5

√

5

.

−

(

√

2

√

5

⋅

√

5

√

5

)

Combine and simplify the denominator.

Tap for more steps...

−

√

2

√

5

5

Simplify the numerator.

Tap for more steps...

−

√

10

5

The result can be shown in multiple forms.

Exact Form:

−

√

10

5

Decimal Form:

−

0.63245553

…

()|[]√≥°

789≤θ

456

Answer:

24 pints

Step-by-step explanation:

128 ounces · 3 = 384 ounces

384/16 = 24 pints

Answer:

There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.

Step-by-step explanation:

Answer:

i believe B

Step-by-step explanation:

Answer

x = 5

Step-by-step explanation:

Subtract  x

=

6

−

1

Subtract  

1

from  

6

.

x

=

5

Answer:

At first find the Shaded area of picture

Then calculate area of picture

And find the lateral area

Answer:

3,630%

Step-by-step explanation:

I multiply 36.3 by 100

Answer:

3630% hope it helps can I get brainliest

Step-by-step explanation:

Multiply 36.3 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

36.3/1 × 100/100=3630/100

3630/100 is 3630 over 100 and means 3630 per 100. 3630 "per 100" means 3630 "percent" or 3630%

Therefore, we have shown that

36.3 = 3630%

Answer: 1371.57 calories

Step-by-step explanation:

Plug 150 in for m.

Cube it to cancel out the cube root on the right side:

[tex]150^{3}[/tex] = 3375000

Find its 4th root to cancel out the exponent of 4 on the right side:

[tex]\sqrt[4]{3375000}[/tex] = 42.861

Now multiply by 32 to find r:

42.861 * 32 = 1371.57 calories

Answer:

y = (x - 4)(x + 2)

Step-by-step explanation:

Quadratic Formula:

Substitute 1 for a, -2 for b, and -8 - y for c in the quadratic formula.

Answer:

[tex]y= (x-4)(x+2)[/tex]

Step-by-step explanation:

To factor polynomials you have to use FOIL. Which stands for First, Outer, Inner, and Last. This means that you have to multiply the first numbers of each part by each other, the outer two between both parts, the inner two between both parts, and the last two of each part, respectively. Then, you would simplify. If you go and do this for each answer choice, the last one would be the only correct one.

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

Answer: do you meant they produce 900 000 packs each month?

Then each distributor gets 900 000 /16= 56250 packs

Answer:

John has to pay $50 for three months

Answer:

2/5 is the rate in cups of lime juice

Answer:

2/5 is the rate in cups of lime juice

Step-by-step explanation:

yes

Answer:

248

Step-by-step explanation:

Divide 62 by 2 to get 31. Each distance on the map should be multiplied by this number. So if it's 8 on the map, its 8 x 31 in real life. 8 x 31 = 248

Answer:

x=-3,-4

Step-by-step explanation:

math

Answer:

x = -3 or x = -4

Step-by-step explanation:

x^2 + 7x + 12 = 0

(x + 3)(x + 4) = 0

x + 3 = 0  or  x + 4 = 0

x = -3 or x = -4

Answer:

23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25

Rounded: 23, 12, 10, 9

Step-by-step explanation:

First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9

Hope this helps

~R3V0

Answer:

6.5 cm is the answer

What an odd measurement

Answer:

6.5cm

Step-by-step explanation:

pythagoras theorem

h² = o² + a²

11.1² = o² + 9²

123.21 = o² + 81

123.21 - 81 = o²

42.21 = o²

o = 6.5cm

Answer:

Yes

Step-by-step explanation:

This is a function because every input only has one output.

Answer:

hindi ko alam yan wala akong pakialam

Step-by-step explanation:

tanga tanga

Answer:

4 - 0.6 (Repeating) x = 0.75

Step-by-step explanation:

You divide the fractions by each other ex. 2 divided by 3

Answer:

[tex] 48 - 8x = 9[/tex]

Step-by-step explanation:

Multiply both sides by LCM. which is 12.

[tex]12(4 - \frac{2}{3} x) = \frac{3}{4} \times 12[/tex]

[tex]48 - 8x = 9[/tex]

Answer:

She have a budget deficit of 33

Step-by-step explanation: