Which graph best represents the equation 2x + 4y = -8?

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:

Step-by-step explanation

x^2+y^2=25

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

9514 1404 393

Answer:

  222 cm²

Step-by-step explanation:

The surface area can be found using the formula ...

  A = 2(LW +H(L+W))

To minimize fraction nonsense, we'll let H be the fraction.

  A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222

The surface area of the prism is 222 square centimeters.

Answer:

4in^3

Step-by-step explanation:

1. The X axis is the line going left and right

2. The Y axis is the line going up and down

3. The origin is the point where the X and Y axis meet; (0,0); by the 0

4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C

5. (4,6)

6. (2,9)

7. (0,4)

8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)

Answer:

There are 125 very thin branches.

Answer:

[tex]30ft[/tex]

Step-by-step explanation:

So, since the scale is 1:5, 1 ft is actually 5 feet.

[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer: 40,260

Step-by-step explanation:

72,100-31,840=40,260

Answer:

201,300

Explanation

I got 100 so no worries

Answer:

380 students

Step-by-step explanation:

133 = 35%

[tex]\frac{133}{35}[/tex] = 1%

3.8 = 1%

3.8 * 100

= 380

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

maybe 2.9 hours

Step-by-step explanation:

Answer:

A. SSS

Step-by-step explanation:

Answer:

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Step-by-step explanation:

As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.

Significance level        Two tailed Test          One tailed test

0.1                                   ± 1.645                               ±1.28

0.05                                 ±1.96                                ± 1.645

0.01                                ± 2.58                                 ±  2.33

So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Answer:oh it is - 5 I had this in my questions for homework

Step-by-step explanation:you have to multiply and subtract and do that many times

Answer:

-5 and 3

Step-by-step explanation:

(-(-2) +/- √(4- (4(1)(-15))) ÷ 2

(2 +/- √64 )÷ 2

(-2+8) ÷ 2 = 3

(-2 -8) ÷ 2 = -5

Answer:

(-15,3) (2,-11) (-3,-7) (12,4)

Step-by-step explanation:

tell me if im wrong

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the volume of the cone is

V=  πr²[tex]\frac{h}{3}[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

2, -1

Step-by-step explanation:

s.a=C.A xH

v of n.o.2 =lxwxh

Step-by-step explanation:

v of no.3=πr2h and s.a=πdh

no.1=area of cross section x area of all faces and v=area of cross section x length

try those ones

Answer:

18 ounces

Step-by-step explanation:

Answer:

im not sure but maybe it should be 18 ounces

Answer:

in 7 minutes he solve 10 problems

he solve one problem in = 7/10= 0.7 minute

he solve 35 problem in = 0.7x35= 24.5 minute

Step-by-step explanation:

hope it helps ❤️

Answer:

15

Step-by-step explanation:

3/4(20/1) = (3*20)/(4*1)

60/4

15