Answer:
x=2 true solution
x=-3 extraneous
Step-by-step explanation:
sqrt(x+7) -1 = x
Add 1 to each side
sqrt(x+7) -1+1 = x+1
sqrt(x+7) = x+1
Square each side
(sqrt(x+7))^2 = (x+1)^2
x+7 = x^2 +2x+1
Subtract x from each side
7 = x^2 +x +1
Subtract 7 from each side
0 = x^2 +x - 6
Factor
0 = (x+3)(x-2)
Using the zero product property
x+3 = 0 x-2 =0
x=-3 x=2
Check solutions
x=-3
sqrt(-3+7) -1 = -3
sqrt(4) -1 = -3
3 =-3 extraneous
x=2
sqrt(2+7) -1 = 2
sqrt(9) -1 = 2
3 -1 =2
2 =2 true
Using the formula of P(1 + r)^n = x where p represents the initial value, r represents the rate and n represents the number of years and x is our final output. We want to find P so we have to make it the subject of the equation.
1 + 0.04 = 1.04
1.04^18 = 2.025816515
Then divide the total amount by this to get 185,110.5454
Therefore the answer is $185,110.55
Hope this helps! :)
Answer:
Step-by-step explanation:
Given the expression
Simplify
Given that x = 1+√2
Substitute
Answer:
A. m-6/24
Step-by-step explanation:
This is the required expression because,
1. Quotient of 24 and 6 less than m.
2. It means quotient of 24 and 6 subtracted from m.
3. Representing it mathematically, m-6/24.
Gaira made a mistake when substituting the value –7.5 in for x.
She multiplied both terms of the expression by –7.5 when she should have only multiplied –3.8 by –7.5.
The value of the expression is 34.5.
Given
Gaira was asked to evaluate the algebraic;
–3.8x + 6 when x = –7.5.
<h3>What is an algebraic expression?</h3>
Algebraic expressions consist of numbers and variables along with operational signs.
Gaira made a mistake when substituting the value –7.5 in for x.
She multiplied both terms of the expression by –7.5 when she should have only multiplied –3.8 by –7.5.
To solve the following expression follow all the steps given below.
Then,
The correct expression is;
Hence, the value of the expression is 34.5.
To know more about Algebraic expression click the link given below.
brainly.com/question/953809