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3 years ago

8

Trisha already knew 1 appetizer recipe before starting culinary school, and she will earn 5 new appetizer recipes during each we

ek of school. After 8 weeks of culinary school, how many total appetizer recipes will Trisha know?

1 answer:

Delicious77 [7]3 years ago

3 0

41, 5x8 plus the one she already knew

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Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer

Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation $16x^4 - 24x^3 +9x^2 =0$

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation $16x^4 - 24x^3 +9x^2 =0$

$x^2(16x^2-24x+9)=0$

Either $x^2=0$ or $16x^2-24x+9=0$

When $x^2=0$

$x=0$

When $16x^2-24x+9=0$

Solve by quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}$

$x=\frac{24\pm\sqrt{0}}{32}$

$x=\frac{24}{32}$

$x=\frac{3}{4}$

$x=0.75$

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0

3 years ago

A book store has twice as many history books as science books. The store has 81 history and science books altogether how many of

atroni [7]

let h= history books

science books = s

h=2s there are 2 times as many history as science so to get them equal we double the science

h+s=81 there are 81 total history and science books

2s+s=81 substitute 2s for h in the above equation

3s = 81 combine like terms

s = 27

There are 27 science books

h=2s

h=2(27)

h=54

there are 54 history books

4 0

3 years ago

The length of a rectangular frame is 5 cm more than the width. The area inside the frame is 66 square cm. Find the width of the

Ratling [72]

For this case we have that the area is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting we have:
66 = (w) * (w + 5)
Rewriting
w ^ 2 + 5w - 66 = 0
(w + 11) * (w-6) = 0
Using the positive root we have:
w = 6
Answer:
the width of the frame is:
w = 6 cm

6 0

3 years ago

Michael's father is giving him an interest-free loan for a $20,000 car. Michael plans to give his father a $5000 down payment an

Rina8888 [55]

It would then be 500m+1000 and the total paid aka the T would change

6 0

3 years ago

AABC has vertices A(-4, 4), B(-1,2), and C(-4,1). What are the coordinates of

steposvetlana [31]

Answer:

(1, - 3 )

Step-by-step explanation:

Using the translation rule (x, y ) → (x + 2, y + 1 ), then

B(- 1, 2 ) → (- 1 + 2, 2 + 1) → (1, 3 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(1, 3 ) → (1, - 3 )

6 0

3 years ago