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3 years ago

I don't remember what it is that I'm doing, as I did the lessons before spring break. Help?

Mathematics

1 answer:

blsea [12.9K]3 years ago

6 0

Extraneous solutions, is answers that we get because of squaring both sides of the radical equation, but in reality, they are not going to be the solutions of the given equation.
(√(4x+41))²=(x+5)²
4x+41=x²+10x+25
x²+6x-16=0
(x-2)(x+8)=0
x1=2 , x2=-8,
And now we must to check them by substitution into initial equation

√(4x+41)=x+5
1) x=2, √(4*2+41)=2+5, √49=7, 7=7 true
2) x=-8, √(4*(-8)+41)=-8+5, √9 =-3 false,
so an extraneous solution x=-8

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Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5

nekit [7.7K]

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

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4 0

3 years ago

Which describes how to graph g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function?

ratelena [41]

Answer:

$f(x) =\sqrt[3]{x}$

Step-by-step explanation:

Hello!

Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:

$g(x) = \sqrt[3]{x-5}+7$

To have the the parent function, we must find the parent one, let's call it by f(x).

$f(x) =\sqrt[3]{x}$

This function satisfies the Domain of the given one, because the Domain is still $(-\infty, \infty)$ and the range as well.

Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.

4 0

3 years ago

My question is in the attachment.<br>

Nikolay [14]

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

8 0

2 years ago

Read 2 more answers

What is the value of x^2 divided by y^4 when x=8 and y=2

7nadin3 [17]

Answer:

Step-by-step explanation:

64/16=4

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2 years ago

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iris [78.8K]

Its easy you just have to do the pi formula

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2 years ago