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Rom4ik [11]
2 years ago
11

What is the inverse function for h(x) =

{x+7} -1" alt="\sqrt{x+7} -1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Blizzard [7]2 years ago
5 0

Step-by-step explanation:

y =  \sqrt{x + 7}  - 1

Replace x and y.

x =  \sqrt{y + 7}  - 1

Solve for y.

x + 1 =  \sqrt{y + 7}

Square both sides.

(x + 1) {}^{2}  = y + 7

(x + 1) {}^{2}  - 7 = y

This is the inverse function or you can also say

{x}^{2}  + 2x - 6 = y

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Directions-Graph the following slope intercept equation
FromTheMoon [43]
0,-2

I don’t really have an explanation
7 0
2 years ago
Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.
nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

#SPJ1

5 0
1 year ago
PLZZZ HELPPPPPPPPPPP
Oliga [24]

Answer:

Step-by-step explanation:

29 5x+8+x+4=90

6x=78

x=13

30 3x-7+11x-1=90

14x=98

x=7

31 3x+x+8=180

4x=172

x=43

32 6x-1+5x-17=180

11x=198

x=18

7 0
3 years ago
The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4
timofeeve [1]

Answer:

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Step-by-step explanation:

We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).

We have to translate the quadrilateral MNPQ using vector <3,-4>

The translate the coordinates of vertices (x,y) using the vector <a,b>  is given by the rule

(x,y)\rightarrow (x+a,y+b)

Using the rule

The new coordinates of M

(-3,-2)\rightarrow (-3+3,-4-2)

(-3,-2)\rightarrow (0,-6)

The new coordinates of N

(-1,4)\rightarrow (2,0)

The new coordinates of P

(2,4)\rightarrow (5,0)

The new coordinates of Q

(4,-2)\rightarrow (7,-6)

Hence, after translation the new vertices of quadrilateral are

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

5 0
3 years ago
- Mary earns an hourly wilge of $13 plus a $90
SIZIF [17.4K]

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

\frac{507}{13}  * 1 = 39 hours

8 0
3 years ago
Read 2 more answers
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