Which set contains values of x that makes this equation true?
7x = 42
o A. 8
OB. 7
O C. 6
OD. 5
Plsssss help

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The solution set is {2, 42} & the extraneous root is 42

If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.

Given equation is,

[tex]2+\sqrt{2x-3}=\sqrt{x+7}[/tex]

Squaring both sides we get,

[tex]2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}[/tex]

⇒ [tex]4+4\sqrt{2x-3} +2x-3=x+7\\[/tex]

⇒ [tex]4\sqrt{2x-3} =6-x[/tex]

Again, squaring both sides we get,

⇒ [tex](4\sqrt{2x-3}) ^{2} =(6-x)^{2}[/tex]

⇒ [tex]16(2x-3)=6^{2} -12x+x^{2}[/tex]

⇒ [tex]32x-48=36-12x+x^{2}[/tex]

⇒ [tex]x^{2} -44x+84=0[/tex]

⇒ [tex]x^{2} -42x-2x+84=0[/tex]

⇒ [tex](x-42)(x-2)=0[/tex]

So, x = 2 & 42

Here extraneous root is 42.

Learn more about extraneous root here :

https://brainly.com/question/658096

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Answer:

1

Explanation:

I used the calculator.

Answer: true

Step-by-step explanation:

Answer: x = 150/6 = 25

Step-by-step explanation:

Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)

The value of x is (Choose...4, 11, 12, 19, 20, 25).

To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:

DE/CB = EF/BA

x/10 = 15/6

x = 150/6 = 25

The value of x in the triangle is 25

The triangle are similar.

Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.

Therefore, let's find the value x by establishing the proportion below:

ΔABC ≅ ΔFED

AB / FE = BC / ED = AC / FD

6 / 15 = 10 / x

cross multiply

6x = 150

x = 150 / 6

x = 25

learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults

Answer:

49 and 36

Step-by-step explanation:

49 - 36 = 13

49 + 36 = 85

Answer:solving we get y=6  x+y=85

x-y=13

add the equations

2x=98

x=98/2

x=49

85-49=36

the numbers are 49 and 36

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

On edg

Answer:

[tex]2\frac{3}{50}[/tex]

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50

Answer:

30

Step-by-step explanation:

21*10=210

210/7=30

x=30

Answer:

30..

Explanation

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ [tex]t_{\alpha /2}[/tex] = 3.25

Therefore, we have;

[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Answer:

.

Step-by-step explanation:

Answer:

I don't understand the question

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c

Answer:

1 1/2 Servings

Step-by-step explanation:

common sense

Answer:5.5

Step-by-step explanation:

1/2*5=2 and 1/2 and 1/2 divided by 2 is 1/4 and 5 1/2+1/4=5 3/4

Answer:

5/6 yard

Step-by-step explanation:

6/6 - 1/6= 5/6 yard

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer: BASE 10

Step-by-step explanation:

Answer:

this is the answer

Step-by-step explanation:

hope this will help you

The angles are adjacent and complementary.

Complementary means they add up to 90 degrees.

3x + 45 = 90

3x = 90 - 55

3x = 45

x = 45/3

x = 15

The value of x is 15 degrees.

Answer: 23

Step-by-step explanation:

x = 90 - 67

x = 23

Answer:

28

Step-by-step explanation:

Let's set the ratio as

7x : 9x

If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)

So, we can write this equation.

7x + 9x = 48

Simplify.

16x = 48

Divide both sides by 16.

x = 4

Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x

7 * x = 7 * 4 = 28

The number of states that border an ocean is 28.

I hope this helps! Feel free to ask any questions!

Answer:

-50

Step-by-step explanation:

Answer:

a = -50

Step-by-step explanation:

-10 = 1/5a

multiply both sides of the equation by 5:

a = -50

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

Answer:

Step-by-step explanation:

You should indicate which type of expression are you expecting.

But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x

Answer:

20 servings

Step-by-step explanation:

To find how many servings the bag would have, divide 5 by 0.25:

5/0.25

= 20

So, the bag would have 20 servings

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210