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Neko [114]
3 years ago
10

SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!

Mathematics
1 answer:
NARA [144]3 years ago
3 0

ANSWER

Step 3

EXPLANATION

The given polynomial expression is:

2 {p}^{2}  - 3p - 7 - (3 {p}^{2}  + p - 5)

Fatau correctly expanded the parenthesis in the first step.

2 {p}^{2}  - 3p - 7 - 3 {p}^{2}   -  p  +  5

Fatau also correctly grouped the like terms to obtain:

(2- 3) {p}^{2}   + (- 3 - 1)p  + (- 7 +  5)

Fatau committed a mistake at the third step.

Instead of obtaining,

- {p}^{2} - 4p   - 2

He mistakenly got:

{p}^{2}    - 2p  +2

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Evaluate the given expression if a​ = 2 and ​b​ = -4 <br> a2-b3
IceJOKER [234]

Answer:

31

Step-by-step explanation:

{a}^{2}  -  {b}^{3}  \\  \\  =  {(2)}^{2}  -  {( - 3)}^{3}  \\  \\  = 4 - ( - 27) \\  \\  = 4 + 27 \\  \\  = 31

5 0
3 years ago
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
find the x-intercepts of the parabola with vertex(6,27) and y-intercept (0,-81). write answer in form (x1,y1)(x2,y2). if necessa
sergey [27]
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3,  x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
7 0
3 years ago
Read 2 more answers
Is (-2, 6) a solution to this system of linear equations? (HINT: Substitute x
Serggg [28]

Answer:

1st Equation: -8x + y = 22

At (-2,6)

(-8*-2)+ 6 =16+6= 22: That is correct

2nd Equation: -8x - y =10

At (-2,6)

(-8*-2)-6= 16-6= 10: That is correct

Both are correct.

Hope it helps you.

5 0
3 years ago
7(y + 2) – (4y – 10) = 44 – 2y + 5<br> y = -10
andrey2020 [161]

Answer:

y=-8

Step-by-step explanation:

7(y + 2) – (4y – 10)

=7y+14-4y+10

=3y+24

3y=-24

y=-8

3 0
3 years ago
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