PLEASE GIVE THE COMPLETE FACTORED FORM OF THE FOLLOWING: (4 POINTS EACH)

Answer:

±2

Step-by-step explanation:

This is a biquadratic equation, we must turn it into a quadratic one first before we solve it. So, let's say that x⁴ = y², therefore

[tex]y = \sqrt{x} [/tex]

and we turn it into the following quadratic equation:

y² - y - 2 = 0

then we solve it the way we solve a normal quadratic equations and find the roots:

D = 1 + 8 = 9

y1,2 = 1 ± 3 = 4, -2

[tex] \sqrt{x} = y[/tex]

We cannot find the square root of -2, so the solutions are only -2 and 2(because square root of 4 is equal to ±2)

Step-by-step explanation:

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Answer:

 In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.

Answer:

5q+5p=4+8p

= 5q+5p-8p=4

= 5q-3p=4

Answer:

No1.

let x represent number of ice cream cones

80=12+4x

80-12=4x

68=4x

x=68/4

x=17

Check:

12+4(17)

=12 +68=80

3. 5x+14=9

collect like terms

5x=9-14

5x=-5

x=-5/5

x= -1

check:

5(-1)+14= -5+14 =9

Answer:

[tex]{ \tt{time = \frac{distance}{time} }} \\ [/tex]

[tex]{ \tt{time = \frac{13}{20} }} \\ \\ { \boxed{ \tt{ \: time = 0.65 \: hours}}}[/tex]

The time to travel the distance of 13km at a speed of 20km/hr.

A bicyclist travels 13 km at a speed of 20 km/hr.

We have to determine how long it take her to travel this distance.

time=distance/speed

Here we have given that

speed is 20 km/hr

distance is 13 km

Therefore we get

time=13/20

time=0.65 hours

Therefore the time to travel the distance of 13km at a speed of 20km/hr.

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Answer:

42

Step-by-step explanation:

The base of the prism is a rectangle 2 units by 3 units.

The height of the prism is 7 units.

volume = area of the base × height

volume = 2 × 3 × 7 cu units

volume = 42 cu units

Answer:

the answer is 16

20/2 = 10

10÷5=2

x=4

y=1

2×4=8

2×1=2

8x2=16

Answer:

6 hours you're welcome owo

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25.

Given

A group of friends chartered a deep-sea fishing boat out of Destin, FL.

The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip.

An equation between two variables that gives a straight line when plotted on a graph.

The group of 16 people would cost $2,500, so it would be $156.25 for each person.

The group of 10 people would cost 1,300 (I got this from going to 10 on the chart then following it up to the line), so it would be $130 per person.

Then, $156.25 - $130 = $26.25

Hence, the difference in price per passenger for a group of 16 versus a group of 10 is $26.25.

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Answer:

x=25

Step-by-step explanation:

125+30= 155
180-155=25

180 is the overall total of the line so the angels will add up to 180

Answer:

x = 25°

Step-by-step explanation:

angle of st line is 180°

125+30+x = 180

155+x=180

x = 25°

Answer:

9.72 approximately

Step-by-step explanation:

Given triangles are similar, to solve 9/10=8.75/EC we cross multiply expressions:

9EC = 87.5 now divide both sides by 9

EC = 9.72 approximately

Answer:

760 ¢

Step-by-step explanation:

190 multiplied by 4 is 760

Answer:

first option identifies the three points on the graph, where:

1hr | 15$

2hr | 30$

4hr | 60$

hope that helps

Answer:

Answer is D. 1-15

2-30

4-60

According to given Graph

Step-by-step explanation:

bring the 4 to 18 which will give you 22.

Next you divide them by 9.

The answer you get is it

Answer:

8 pizzas

Step-by-step explanation:

If 1/5 was remaining, the hoard consumed 4/5 of all the pizza.

(4/5)*(10 pizzas) = 8 pizzas

Answer:

2 pizzas

Step-by-step explanation:

[tex]\frac{10}{1}[/tex]*[tex]\frac{1}{5}[/tex]=[tex]\frac{10}{5}[/tex]

then divided 5 by 10 and it equals 2 pizzas.

Using integrals, it is found that the area bounded by the two curves in the interval is of 550 units squared.

[tex]A = \int_a^b f(x) - g(x) dx[/tex]

In this problem:

Then:

[tex]A = \int_{12}^{34} 11x - 3 - (10x - 5) dx[/tex]

[tex]A = \int_{12}^{34} x + 2 dx[/tex]

[tex]A = \frac{x^2}{2} + 2x|_{x = 12}^{x = 34}[/tex]

Applying the Fundamental Theorem of Calculus:

[tex]A = \frac{34^2}{2} + 2(34) - \frac{12^2}{2} - 2(12) = 550[/tex]

The area is of 550 units squared.

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Answer:

u=122

Step-by-step explanation:

hey there!

32+u-47+u-49=180 (sum of angle of triangle)

2u-64=180

2u=180+64

u=244/2

u=122

hope it helps!!

thank u!

The speed of the truck is higher (or lower) than the speedometer value  

when a larger (or smaller) than standard sized tire.

Responses:

The standard tire size diameter = 25.7 inches

Diameter of the replacement tire = 28.2 inches

Circumference of the standard tire = π·25.7 inches

1 mile = 63,360 inches

65 miles = 65 × 63,360 inches

[tex]Number \ of \ rotation =\dfrac{63,360 \times 65}{\pi \times 25.7} \approx \mathbf{ 51,008.85}[/tex]

Distance travelled by the replacement tire with the same number of

rotations is therefore;

[tex]Distance =\dfrac{63,360 \ in. \times 65}{\pi \times 25.7 \ in.} \times \pi \times 28.2 \ in. \approx \mathbf{4519022.6\ in.}[/tex]

Actual distance travelled in one hour = 4519022.6 ÷ 63,360 ≈ 71.32

Second part; Tire diameter = 24 inches

Distance traveled in one hour = 51,008.85 × π × 24 ≈ 3845976.68

Distance traveled in one hour ≈ 3845976.68 inches

3845976.68 inches ≈ 60.7 miles

The actual speed if a 24 inch tire is used is approximately 60.7 mph

Details of the truck speed with different sized wheels

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Answer:

11hrs.

ur hawt

Answer:

-5w-20 is equivalent to (3w-8)-4 (2w+3)

Using an exponential function, it is found that 242.5 mg of radium will be left after the 40 days.

The exponential function for the amount of a decaying substance is modeled by:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

In this problem, the half-life is of 100 days, hence:

[tex]A(100) = 0.5A(0)[/tex]

Which is used to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-100k}[/tex]

[tex]e^{-100k} = 0.5[/tex]

[tex]\ln{e^{-100k}} = \ln{0.5}[/tex]

[tex]-100k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{100}[/tex]

[tex]k = 0.0069314718[/tex]

Then, the equation is:

[tex]A(t) = A(0)e^{-0.0069314718t}[/tex]

He started with 320 mg of radium, hence [tex]A(0) = 320[/tex], and the equation is:

[tex]A(t) = 320e^{-0.0069314718t}[/tex]

After 40 days, the amount left is:

[tex]A(40) = 320e^{-0.0069314718(40)} = 242.5[/tex]

242.5 mg of radium will be left after the 40 days.

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Answer:

[tex]Solution[/tex]

Here,

[tex]Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years[/tex]

[tex]Now, Interest(I)=\frac{PTR}{100}[/tex]

                            [tex]=\frac{35000*2*9}{100}\\= $3600[/tex]

Answer:

the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26

Step-by-step explanation:

we convert 54/205 into a percentage

Answer:

x = 26.34%

Step-by-step explanation:

Let the percentage be x:

205 * x% = 54

x% = 54 ÷ 205

x% = [tex]\frac{54}{205}[/tex]

[tex]\frac{x}{100}[/tex] = [tex]\frac{54}{205}[/tex]

x = [tex]\frac{54*100}{205}[/tex]

x = [tex]\frac{5400}{205}[/tex]

x = 26.34146341%

x = 26.34%