what is the factored form of the equation f(x)=4x^2-4x-8

Answer:

[tex]\fbox{x=4.5}[/tex]

Step-by-step explanation:

[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]

Multiplying LHS & RHS with 3/8,

[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]

Taking reciprocal both the side,

[tex] \frac{3}{2} = \frac{x}{3} [/tex]

Cross multiplying and dividing,

[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]

[tex]\fbox{x=4.5}[/tex]

Thanks for joining brainly community!

Answer:

3

Step-by-step explanation:

As you can see when you list out the factors of each number, 3 is the greatest number that 39 and 57 divides into.

The yearly salary after paying for taxes, insurances and other expenses is  r808.42.

The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:

1/2 + 1/16 + 5/6

(48 + 6 + 80) / 96 = 134 / 96=  1 19/48

Now subtract 1 19/48 from 1

1 19/48 - 1 = 19/48

Finally, divide 19/48 by 320

320 x 48/19 = r808.42

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

Answer:

well, here's the formula!

Step-by-step explanation:

area = (1/2) · (p + q) · h

Answer:

C.

Step-by-step explanation:

red: 3/8 sheet per toy

20 × 3/8 = 60/8 = 56/8 + 4/8 = 7 1/2

yellow: 5/8 sheet per toy

20 × 5/8 = 100/8 = 50/4 = 25/2 = 12 1/2

Since he needs 7 1/2 and 12 1/2, he needs to get 8 and 13 becasue 7 and 12 are not enough.

Answer: C.

Answer:

Surface Area = 6×62 = 216 inches2

Step-by-step explanation:

Formula for surface area of cube is 6 into side²

EXPLANATION

Cube has all sides of equal dimensions and like that it has 6 faces.

So total surface area of cube is equal to the combined area of all the six faces.

Now each face has equal dimensions so same area

Therefore,

area of a single face =side²

Therefore, area of entire cube = 6 times the area of a single face

= 6 * side²

Answer:

8

Step-by-step explanation:

10/3 divided by 5/12

10/3 multiple 12/5

So the 3 and 12 will cross out same as 10 and 5 then we will get 8 as an answer

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.

In this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:

[tex]\frac{200}{x-1} = \frac{160}{x}[/tex]   (1)

Now we clear [tex]x[/tex] within (1):

[tex]200\cdot x = 160\cdot (x-1)[/tex]

[tex]x = 4[/tex]

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]

The statement is incomplete and poorly formatted. The complete statement is shown below:

Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?

To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060

Answer:

y=3/4x-14

Step-by-step explanation:

Remember that slope-intercept form is y=mx+b

We can see that our givens is that the slope is 3/4 and our point is (8,-8)

Let's plug this in and solve for b (b is the y-intercept)

-8=3/4*8+b

-8=24/4+b

-8=6+b

-14=b

Now we write out the equation which is y=3/4x-14

Answer: sin is negative, cos is positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin0= 0.8

Answer: 20.4% decrease

Step-by-step explanation:

First, find how many fewer cats were adopted out this year: 1,526 - 1214 = 312.

Now, find what percent of 1,526 312 is: 1,526 * x = 312 → x = .204 * 100 = 20.4% :)

The hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

The pOH of a solution is the negative logarithm of the hydroxide-ion concentration.

or pOH = -log[OH⁻]

The hydroxide-ion concentration OH⁻ of HNO₃ solution = 9.5 * 10⁻⁹ million.

So, the pOH of the HNO₃ solution =-log[9.5* 10⁻⁹] = 8.02

Therefore, the hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

To get more about pH and pOH visit:

https://brainly.com/question/13557815

Answer:

8.02

Step-by-step explanation:

trust

Answer:

130

Step-by-step explanation:

just multiply 65 by 2 and you get 130

Answer:

yes

Step-by-step explanation:

area of triangle = W × B

area of a triangle is = 552/8

552/8 = 37/4 × W

552/8 = 37W/4

8•37W = 4•552

296W = 2208

W = 7.5

width : 7.5 feet

Explanation:

area of rectangle : Length * Width

Given,

solve:

[tex]\rightarrow \sf 69\dfrac{3}{8} = 9\dfrac{1}{4} * Width[/tex]

[tex]\rightarrow \sf \dfrac{69.375}{9.25} = width[/tex]

[tex]\rightarrow \sf width = 7.5[/tex]

Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;

[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

The distance the cyclist rides against the wind = 5 miles

The distance the cyclist rides with the wind = 10 miLes

Let t represent the time it took the cyclist in both directions, we have;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Where;

v = The cyclist's average rate of speed

Which gives;

10 × (v - 4) = 5 × (v - 4)

10v - 40 = 5v - 20

5v = 20

v = 20 ÷ 5 = 5

The equation that can be used to calculate the cyclist's average rate of speed is therefore;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Learn more about average speed here:

https://brainly.com/question/6504879

Answer:

[tex]\boxed{\sf{2b+3}}[/tex]

Step-by-step explanation:

In order to solve this problem, first you need to simplify the expression to use a distributive property.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

5+2b-2

Switch sides.

2b+5-2

Combine like terms.

You have to subtract by the numbers from left to right.

Solve.

5-2=3

2b+3

I hope this helps you! Let me know if my answer is wrong or not.

If Wilma ran 1 hour 15 minutes and 3 days this week, the number of minutes she ran in total is 4395 minutes.

She loves to run and she ran 1 hour and 15 minutes 3 days this week. Therefore, the total time in minutes she ran can be calculated as follows:

1 hour = 60 minutes

1 days = 24 hours

3 days = 72 hours

Therefore,

1 hours  = 60 minutes

72 hours = 4320 minutes

Hence,

The total minutes she ran = 60 + 15 + 4320 = 4395 minutes

The question is How many minutes did Wilma run in total?

learn more on minutes here: https://brainly.com/question/26140037

Answer:

Step-by-step explanation:

The relations describing the two numbers can be written as equations. First, we need to assign variables: let x and y represent the first and second numbers, respectively.

The given relations are then ...

  7x +6y = 31

  3x -10y = 29

__

Such a system of equations can be solved many ways. One that is usually convenient is to use a graphing calculator. It tells us ...

Answer:

there are 18 milk chocolates

Answer:

Step-by-step explanation:

convert it to fraction first: 2/5 are plain and 3/5 is milk

30÷5= 6

2x6=12

3x6=18

to check wheter or not it is correct add the amount. if it gets the total, it is correct.

Answer:

x = 2.8

Step-by-step explanation:

[tex]7\left(-2x+4\right)=-4x[/tex]

[tex]-14x+28=-4x[/tex]

[tex]\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}[/tex]

[tex]-14x+28-28=-4x-28[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-14x=-4x-28[/tex]

[tex]\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}[/tex]

[tex]-14x+4x=-4x-28+4x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-10x=-28[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-10[/tex]

[tex]\frac{-10x}{-10}=\frac{-28}{-10}[/tex]

[tex]x=\frac{14}{5}[/tex]

[tex]x=2.8[/tex]

[RevyBreeze]

Answer:

please make brainiest

Using proportions, it is found that the rate of water flow was of 6 miles per hour.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying cross multiplication:

10x = 60

x = 60/10

x = 6.

Hence, the rate of water flow was of 6 miles per hour.

More can be learned about proportions at https://brainly.com/question/24372153

The answer to your question is 69

Answer:

7.8 feet

Step-by-step explanation:

Use the formula of tan to find his height.

tan Θ = [tex]\frac{opposite}{adjacent}[/tex]

tan 48 = [tex]\frac{x}{7}[/tex]

x = tan 48 × 7

x = 7.8 ft

Answer:

30 books

Step-by-step explanation:

Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30

Answer:Y = Co + C*x.22.45 = Co + C*200,Co = 22.45 - 200C.29.65 = Co + C*350.Co = 29.65 - 350C. = 22.45 - 200C150C = 7.20, C = 0.048/min.Co = 22.45 - 200*0.048 = $12.85/mo. = Initial cost.Y = 0.048x + 12.85.2. Y = 0.048*110 + 12.85 = $18.13.3. 34.10 = 0.048x + 12.85, X = ?.

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

Cos θ= adjacent side÷ hypotenuse

adjacent side= 6

hypotenuse= x

θ=33°

Therefore,

cos 33°=6÷x

cos 33°= 0.8387

0.8387=6÷x

Multiply both sides by X to cancel off the X on the right hand side.

0.8387×x=6

Divide both sides by 0.8387 to subject X and to bring the values to the other side

x=6÷ 0.8387

x= 7.154

X= 7.2

Hope this helps!

Answer:

883.125

Step-by-step explanation:

First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.

Hopefully this helps- let me know if you have any questions!