What is the equation for a line parallel to y=-4x-9 that passes through the point 0,8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= (2x² - 9x) + (3x - 2) = 2x² - 6x - 2.

Therefore (f + g)(3) = 2(3)² - 6(3) - 2 = -2.

(f - g)(x) = f(x) - g(x)

= (2x² - 9x) - (3x - 2) = 2x² - 12x + 2.

Therefore (f - g)(-4) = 2(-4)² - 12(-4) + 2 = 82.

(g o f)(x)

= g(2x² - 9x) = 3(2x² - 9x) - 2 = 6x² - 27x -2.

(f o g)(x)

= f(3x - 2) = 2(3x - 2)² - 9(3x - 2) = 18x² - 51x + 26.

Answer:

no solution.

Step-by-step explanation:

2x + 3x + 9 < 5x - 7

5x + 9 < 5x - 7

5x + 9 - 9 < 5x - 7 - 9

5x < 5x - 16

5x - 5x < 5x - 16 - 5x

0 < - 16 - ∅ (no solution).

Answer:

[tex] \frac{28}{12} = \frac{(28 \div4)}{(12 \div 4)} = \frac{7}{3} =\boxed{7:3}✓ \\ [/tex]

A ratio of 28 to 12 can be expressed in simplest form as:

(1) 8:5

(2) 7:3✓

(3) 9:4

(4) 14:9

Answer:

The interest will be $30, the total amount she pays will be $530.

Step-by-step explanation:

500 x 0.06

30 = the interest rate cost

500 + 30 = $530

$530 is the total amount Victoria needs to pay, and the interest rate cost is $30.

Answer:

14 cupcakes

Step-by-step explanation:

75% is equivalent to 3/4 so 56 divided by 4 times by 3

56 divided by 4 is 14 X 3 = 42

56-42 leaves you with 14 cupcakes

Answer:

false

Step-by-step explanation:

0.325 is NOT less than 0.253

Answer:

x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

6−8x=7x−10x−24

Step 1: Simplify both sides of the equation.

6−8x=7x−10x−24

6+−8x=7x+−10x+−24

−8x+6=(7x+−10x)+(−24)(Combine Like Terms)

−8x+6=−3x+−24

−8x+6=−3x−24

Step 2: Add 3x to both sides.

−8x+6+3x=−3x−24+3x

−5x+6=−24

Step 3: Subtract 6 from both sides.

−5x+6−6=−24−6

−5x=−30

Step 4: Divide both sides by -5.

−5x/-5 = -30 /-5

x=6

Answer:

i got 39 as well, so i would say your correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 ≤ - 3x- 3 ≤ 10

x

few notes about inequality

the direction of the inequality doesn't change if you

the direction of the inequality does change

if you

[tex]step - 1 : difine[/tex]

[tex]5 \leqslant - 3x - 3 \leqslant 10[/tex]

[tex]step - 2 : \\ add \: 3 \: in \: each \: sides[/tex]

[tex]5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3[/tex]

[tex]8 \leqslant - 3x \leqslant 13[/tex]

[tex]step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily[/tex]

[tex] \therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} [/tex]

Answer:

Answer is The range of weights for Greg's pumkins is the least

Step-by-step explanation:

:)

Answer:

-(2×3)×(5+3-8-(3×3))

-(6)×(5+3-8-9)

-6×-9

54

Answer:

The correct answer is 54

Option D

Step-by-step explanation:

All you really need to do is replace the n for 3 when you do so you will get

-2(3)(5+3-8-3(3)) = 54

The () represents multiplication.

Anywas hope this helped!

Answer:

Step-by-step explanation:

Divide 3 gallons by 16:

Answer:

-940

Step-by-step explanation:

-4 * 5 * 47 = - 940

9514 1404 393

Answer:

Step-by-step explanation:

Negative three is less than (<) negative one, so any statement saying otherwise is incorrect. Correct choices are ...

  -3 ≤ -1

  -3 < -1

Answer:

None or 1499 + 287 I assume

Answer:

1545 + 287

odd man out

Step-by-step explanation:

Answer:

hgkgbnnhm,

Step-by-step explanation:

The arc length of [tex]y=2x^{\frac32}[/tex] over [0, 1] is given by the integral,

[tex]L=\displaystyle\int_0^1\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx[/tex]

Differentiate y with respect to x using the power rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac32\times2 x^{\frac32-1}=3x^{\frac12}[/tex]

Then the integral becomes

[tex]L=\displaystyle\int_0^1\sqrt{1+\left(3x^{\frac12}\right)^2}\,\mathrm dx=\int_0^1\sqrt{1+9x}\,\mathrm dx[/tex]

Substitute u = 1 + 9x and du = 9 dx :

[tex]L=\displaystyle\int_0^1\sqrt{1+9x}\,\mathrm dx=\frac19\int_1^{10}\sqrt u\,\mathrm du[/tex]

[tex]L=\displaystyle\frac19\left(\frac23u^{\frac32}\right)\bigg|_1^{10}[/tex]

[tex]L=\dfrac2{27}\left(10^{\frac32}-1^{\frac32}\right)[/tex]

[tex]L=\boxed{\dfrac2{27}\left(10^{\frac32}-1\right)}[/tex]

Answer:

21

Step-by-step explanation:

plug n = 14 into the equation:

[tex]2(14-1)-5\\2(13)-5\\26 - 5\\21[/tex]

Step-by-step explanation:

2 * (1/4) + (3/4)

= (2/4) + (3/4)

= 5/4 or 1.25.

Answer:

5/4

Step-by-step explanation:

First multiply 2 x 1/4

so you would do 2/1 x 1/4

and so that would give you 2/4

and then it would be 2/4 +3/4

and since they have the same denominator

add the numerator which will give you 5/4 or 1 1/4

Answer:

The price was marked down by 12.58%

Step-by-step explanation:

153.77 is a 12.581011938601% decrease of 175.90.

Percentage of decrease = |175.90 - 153.77|/175.90 = 22.13/175.90 = 0.12581011938601 = 12.581011938601%

Answer:

12

Step-by-step explanation:

I want to say because if you divide 8 by 2 you get 4 so then you multiply by 3. I think...

Answer:

x = 13

Step-by-step explanation:

110° is the vertically opposite angle of one of the interior angles of the given triangle.

Therefore,

[tex]x \degree + 57 \degree + 110 \degree = 180 \degree \\ \\x \degree + 167 \degree = 180 \degree \\ \\ x \degree = 180 \degree -167 \degree \\ \\ x \degree = 13 \degree \\ \\ x = 13[/tex]

Answer:

Let x be the width of the screen and

x + 30 be the length of the screen

Area of the screen = 10384 square feet

=>x(x+30) = 10384

x^2 + 30x = 10384

x^2 + 30x - 10384 = 0

Splitting-

x2+118x - 88x -10384 = 0

x(x+118) -88(x+118) = 0

(x+118)(x-88) = 0

x=-118,88

Since width should be positive,

width = 88 feet

length = 118 feet

Step-by-step explanation:

Answer:

domain= -1, 3

range = -1, 1

Step-by-step explanation: ok

Answer:

$75

Step-by-step explanation:

If it costs $25 for two hours and we want 6 hours, we simply multiply it by 3 because 6/2 = 3.

$25 * 3 = $75

Answer:

The answer $75

Step-by-step explanation:

you add $25 each 2 hours and it would be $75 simple

Answer:

ummm

Step-by-step explanation: