Use the information below to complete the problem: and Perform the operation and show that it results in another rational expression. p(x) * q(x)

Answer:

I BELIEVE the answer would be 30

Answer:

x² - 6x = 7

x² - 6x + 9 = 7 + 9

(x - 3)² = 16

x - 3 = ± 4

x - 3 = 4 and x - 3 = -4

x: {-1, 7}

Largest value of x = 7

Smallest value of x: -1

I hope this helps!

first number: x

second number: x -4

Answer:

The answer is : 8160 m

Step-by-step explanation:

100% correct

Answer:

The zeros are the points where the parabola intercepts the x-axis.

[tex]\sf x = 7 \implies x - 7 = 0[/tex]

[tex]\sf x = 1 \implies x - 1 = 0[/tex]

[tex]\sf \implies y = a(x - 7)(x - 1)[/tex]  where a is some constant

If the parabola passes through point (3, 4) then:

[tex]\sf \implies a(3 - 7)(3 - 1) = 4[/tex]

[tex]\sf \implies a(-4)(2) = 4[/tex]

[tex]\sf \implies -8a = 4[/tex]

[tex]\sf \implies a = -\dfrac12[/tex]

So the equation of the parabola is:

[tex]\sf y = -\dfrac12(x - 7)(x - 1)[/tex]

Or in standard form:

[tex]\sf y = -\dfrac12x^2+4x-\dfrac72[/tex]

Spot the quadratic equation:-

Find a through (3,4)

Equation:-

Answer:

y = 2x + 5

Step-by-step explanation:

REMEMBER:

⇒ The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:
⇒ y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

⇒ 3 = 2 * (-1) + b

⇒ 3= -2 + b

⇒ b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:

⇒ y = 2x + 5

Answer:

y = 2x + 5

Step-by-step explanation:

Given line equation 2x - y + 2 = 0

Equation of line parallel to this line will be of form

=> 2x - y + k = 0 ( where 'k' is a constant )

Now this line passes through (-1,3)

=> 2(-1) - (3) + k = 0

=> -2 - 3 + k = 0

=> k - 5 = 0

=> k = 5

Therefore the required line equation is 2x - y + 5 = 0 or y = 2x + 5

Hope you've understood the solution.

The marginal tax bracket of Dave shows that the amount of the federal tax is $28000.

Let the federal tax be represented by x.

From the information, Dave’s marginal tax bracket is 25%, and he contributed 7000.

Based on the information, the amount will be:

25% of x = 7000

0.25 × x = 7000

0.25x = 7000

x = 7000/0.25

x = $28000

In conclusion, the amount is $28000.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Circumference of a circle :

[tex]\qquad \tt \dashrightarrow \:2 \pi r[/tex]

And we have been given that Circumference = 24 cm

So, let's equate them and find radius (r) :

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 24[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm[/tex]

So, we got the radius here. now let's equate it with expression in terms of x to find value of x

[tex]\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82[/tex]

[tex]\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2[/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm[/tex]

x = 12.61

===========

[tex]\bold{C = 2\pi r}[/tex]                                     [ C = 24, π = 3.14, r = √x+2 ]

Answer:

10 cups

Step-by-step explanation:

6 people : 4 cups

15 people : x cups

15/6 = 2.5

4 x 2.5 = 10 cups

Hope this helps :)

(And sorry before, I was a little mixed up)

Answer:

10

Step-by-step explanation

Answer:

-2/5

Step-by-step explanation:

5x - 2y = -10

-2y = -5x - 10

y = 5/2x + 5

m = 5/2

Perpendicular lines have slopes that are negative reciprocals of one another. For example, 5 would become -1/5 and 1/3 would become -3.

If m = 5/2

Perpendicular line m = -2/5

Hope this helps!

Answer:

The slope of the line perpendicular to this line is -2/5.

Step-by-step explanation:

5x - 2y = -10

Let's simplify this equation to be in slope-intercept form: y = mx + b.

Start by adding 2y to both sides of the equation.

Next, add 10 to both sides of the equation.

Divide both sides of the equation by 2.

The slope of this line is the coefficient of x; in this case, it is 5/2.

If we want to find the slope of the line perpendicular to this line, we take the opposite (change the sign) reciprocal (flip the fraction).

The slope 5/2 becomes -2/5.

Therefore, the slope of a line perpendicular to the line whose equation is 5x - 2y = -10 is -2/5.

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5

Answer:

y = 2x - 0.75

Step-by-step explanation:

Slope-intercept form is:

⇒ y = mx + b

m being the slope and b being the y-intercept.

The given slope and y-intercept:

⇒ Slope ⇒ 2

⇒ Y-intercept ⇒ -3/4

Plug in:

⇒  y = 2x - 0.75 (3/4)

Answer:

you are a good friend Sayed im not sure if I can get it done before I get my license back and the whole time we go back and be out in a bit I guess that was the best thing I ever heard of the beast's I have

Answer: x = -2

Step-by-step explanation:

Given:

Perimeter = 50 cm

=> 2 (2x+15)+ 2(3x+20) =50

=> 4x+30+6x+40=50

=> 10x= -20

=> x= -20/10

=> x = -2

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

Answer:

y = −3x −30

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = mx + b

y = −5(x + 6) + 2x <== distribute -5

y = −5(x) + −5(6) + 2x

y = −5x −30 + 2x <== combine like terms

y = −3x −30

y = −3x −30

Hope this helps!

Answer:

x = 5

x = -15

Explanation:

Let the number be "x"

===================

Answer:

x= 5 or -15

Step-by-step explanation:

let the number be x

(x+5)^2=100

x^2+10x+25=100

x^2+10x-75=9

look for factors of 75 that when you gives you 10 and when you multiply gives you -75

those factors are 15 and -5

replace 10x with 15x and -5x

x^2+15x-5x-75=0

then group them, and factorize

x(x+15)-5(x+15)=0

x-5=0 or x+15=0

x= 5 or x= -15

Answer:

8 units

Step-by-step explanation:

Given:

Formula:

[tex]\text{Area of triangle:} \ \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the base, height and the area of the triangle to determine the measure of the height (x).

[tex]\implies 16 \ \text{units}^{2} = \ \dfrac{1}{2} \times 4\times x[/tex]

Simplify the right hand side of the equation.

[tex]\implies 16 \ \text{units}^{2} = \ 2\times x[/tex]

Divide both sides by 2 to isolate "x".

[tex]\implies \dfrac{16 \ \text{units} }{2} = \dfrac{2\times x}{2}[/tex]

[tex]\implies 8 \ \text{units} = x[/tex]

The measure of the height (x) is 8 units.

Answer:  8

Step-by-step explanation:

Answer:

27

step by step explanation

if you are calculating for the area of the figure, divide the shape into two figures and you will get two rectangles

for shape 1

length=3 width=5

for shape2

length 7-3=4

width=3

area of shape1. =3×5=15

area of shape2. =4×3=12

area of the shape= 12+15 = 27

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt  \dashrightarrow \: \pi{d}^{}[/tex]

where, d = diameter

Now, let's calculate it ~

[tex]\qquad \tt  \dashrightarrow \: c = 4×\pi{}^{}[/tex]

[tex]\qquad \tt  \dashrightarrow \: c = 4\pi\: \: in[/tex]

That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14

[tex]\qquad \tt  \dashrightarrow \: c = 4 \times 3.14{}^{}  \\\qquad \tt  \dashrightarrow \: c = 12.56\: \: in\\\qquad\tt \dashrightarrow \: c \approx 12.6\: \: in[/tex]

Answer:

It is C

Step-by-step explanation:

Answer:

43.56

Step-by-step explanation:

22 percent of 198 can be found by converting 22 percent into decimal form which is

22% = 0.22

because a 100% = 1

Then we can multiply 0.22 by 198

0.22*198 = 43.56

So the answer is 43.56

Hope this helps! :)

Answer: 65 Degrees

Hope this helps :)

If so brainliest would mean alot thanks!

Step-by-step explanation:

35/ 65 degrees

Pretty sure it's 65

Answer: 25 degrees

Step-by-step explanation: Angle ATC equals 90 degrees 90 - 65 = 25

perspective

I hope this helps you

:)

Answer:

D

Hence the expression is 3n-2

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

Answer:

i believe the answer is C

Step-by-step explanation:

Answer:

(C) 3√3

Step-by-step explanation:

Think of √3 as x.

Then 2x + x = 3x, so

2√3 + √3 = 3√3

The time required to get a total amount of $5,900.00 with compounded interest on a principal of $5,000.00 at an interest rate of 5.75% per year 2.899 years

Given Data

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.75/100

r = 0.0575 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(5,900.00/5,000.00) / ( 4 × [ln(1 + 0.0575/4)] )

t = ln(5,900.00/5,000.00) / ( 4 × [ln(1 + 0.014375)] )

t = 2.899 years

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Answer:

heya! ^^

[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]

hope helpful :D