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3 years ago

12

for one history test,peter has to answer 15 questions. of these questions, peter answered 60% of them correctly. how many questi

ons did peter correctly answer on his test?

1 answer:

RoseWind [281]3 years ago

5 0

Peter answered 9 of the questions correctly. 15 divided by 100 to get .15 and then multiply by 60 to get 9. Got 9 correct, 7 incorrect.

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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

At a party, 10 people equally shared 2 1/2 gallons of ice cream. How much ice cream did each person get?

Kipish [7]

2.5 gallons is divided among 10 people.
2.5/10=0.25 gallons

4 0

2 years ago

Read 2 more answers

Find x intercept if y=-5x+60

8_murik_8 [283]

Answer:

-12 bla bla bla bla bla bla bla

4 0

2 years ago

Read 2 more answers

Simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).

irina [24]

4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

6 0

2 years ago

What is the solution of the system? Use any method.<br><br> 3x + 2y = 7<br> y = –3x + 11

Gnom [1K]

Answer:

$(5,-4)$

Step-by-step explanation:

SOLVE BY SUBSTITUTION:

STEP 1: Replace all occurrences of $y$ with $-3x+11$ in each equation.

$-3x+22=7\\y=-3x+11$

STEP 2: Solve for $x$ in the first equation.

$x=5\\y=-3x+11$

STEP 3: Replace all occurrences of $x$ with $5$ in each equation.

$y=-4\\x=5$

6 0

2 years ago