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spin [16.1K]
3 years ago
7

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

......Answer: V = 1046.6

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Is the solution of this equation extraneous?
UkoKoshka [18]

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

\sqrt{x+7} - 1 = x  ( add 1 to both sides )

\sqrt{x+7} = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : \sqrt{-3+7} - 1 = \sqrt{4} - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : \sqrt{2+7} - 1  = \sqrt{9} - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

6 0
3 years ago
Read 2 more answers
What is the domain and range of the graph (and instructions) shown below, urgent!
Eva8 [605]

Answer:

domain:{-2, infinity) range:(negative infinity , positive infinity)

Step-by-step explanation:

Domain is all x points and range is all y points.

8 0
3 years ago
Y varies directly as z, y=180, z=10 , find ywhen z=14
FinnZ [79.3K]

<h2>y = 252</h2>

Step-by-step explanation:

To find the value of y when z = 14 we must first find the relationship between them

The statement

y varies directly as z is written as

y = kz

where k is the constant of proportionality

when y = 180

z = 10

180 = 10k

Divide both sides by 10

k = 18

The formula for the variation is

y = 18z

When z = 14

y = 18(14)

<h3>y = 252</h3>

Hope this helps you

7 0
3 years ago
PLEASE HELP ASAP! I really need help thank you so much
topjm [15]
Ricky is not necessarily correct, as inductive reasoning does not yield certain truths.
3 0
3 years ago
Hailey plans to buy some items from the concession stand at the movie theater. The prices listed in the chart do not include tax
Triss [41]
Answer: C 17.55

Explanation:
Popcorn: $7.75
Soda: $5.15
Bag of Candy: $4.65

7.75 + 5.15 = 12.90 + 4.65 = 17.55

Hope this helps! :) (could you give me brainliest I need help ranking up loll)

6 0
3 years ago
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