Solve the polynomial equation by factoring.
4x^4 + 12x^3 + 9x^2 = 0

Answer:

A is equal to 20.

Step-by-step explanation:

To find the missing side we have to square both 21 and 29.

 Because 21 x 21 = 441, and 29 x 29 = 841, all we have to do is subtract 841 from 441 and we have 400.

 Now we have to find the square root of 400, since 20 x 20 = 400, that means 20 is our answer.

Answer:

12 cm

Step-by-step explanation:

OP = √(15² - (18/2)²)

=√(225- 9²)

=√(225-81)

=√144

= 12

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

Answer:

min 1

Q1 = 6

med = 12.5

Q3 = 14

Max = 19

Step-by-step explanation:

Min simply refers to the smallest value and that is 1

Q1 is the first quartile and the formula is;

Q1 = (n+ 1)/4

where n is the number of terms which is 10

Q1 = (10 + 1)/4 = 2.75

This is approximately 3 and the 3rd term is 6

med is the median value and that is 12 + 13 = 25/2 = 12.5

Q3 is the third quartile

Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14

Max is simply the highest in value and that is 19

u could ask your teacher for help but i really dk

Answer:

Step-by-step explanation:

200 because 4 dived by 2=2. kay?

Answer:

18

Step-by-step explanation:

Step 1: Convert 25% to a fraction

[tex]\frac{25}{100}[/tex]

Simplify

[tex]\frac{1}{4}[/tex]

Step 2: Convert 72 to a fraction

[tex]72 = \frac{72}{1}[/tex]

Step 3: Set it up

[tex]\frac{1}{4}\times \frac{72}{1}[/tex]

Step 4: Cross divide

[tex]72 \div 4 = 18[/tex]

[tex]1 \div 1 = 1[/tex]

[tex]\frac{18}{1} = 18[/tex]

Therefore, the are 18 temporary employees in the local water slides.

Answer:

-4a/-8 +-12a

Step-by-step explanation:

I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think

Answer:

-29

Step-by-step explanation:

y = 2 (-2) ^3 + 5 (-2) - 3

y = -16 -10 -3

y = -26 - 3

y = -29

Then,f(-2)=?

Given:

A fruit salad recipe calls for [tex]\dfrac{3}{4}[/tex] pound of apples and [tex]\dfrac{2}{5}[/tex] pound of dates.

To find:

The least common denominator of the fractions.

Solution:

The given fractions are:

[tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{2}{5}[/tex]

The denominators of these fractions are 4 and 5 respectively.

Factor form of 4 is 2×2.

5 is a prime number, so factor form of 5 is 5×1.

Now, the least common denominator of the fractions is:

[tex]LCD=2\times 2\times 5[/tex]

[tex]LCD=20[/tex]

Therefore, the least common denominator of the fractions is 20.

Answer:

50?

Step-by-step explanation:

Answer:

The age of son is 50.THANK YOU.

Answer:

20/t members are on the team

Step-by-step explanation:

From the question, we want to get the number of people on the team

20 T-shirts were bought

each of the team members got t T-shirts

To know the number of people on the team, we have to divide the number of shirts bought by the number of shirts gotten by each team member

We simply have this as 20/t

Answer:

5 units

Step-by-step explanation:

4^2 + 3^2 = 25

sqr root 25 is 5

Answer:

The distance from P to Q is

D. 5 units

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

Answer: x = 24 & x = 96

Step-by-step explanation:

Answer: Every option given is a solution

Any value larger than 18 is a solution. So we can say x > 18.

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

Explanation:

To isolate x, we multiply both sides by 6 like so

3 < x/6

3*6 < x

18 < x

x > 18

In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.

---------

As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90

So,

3 < x/6

3 < 90/6 ... replace every x with 90

3 < 15

The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.

The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

4

Step-by-step explanation:

Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

Answer and Step-by-step explanation:

Here is the equation for finding the sides (just to show):

68 = (2L + 2W)

We multiply L and W by 2 because there are two of the lengths and 2 of the widths.

Now, we add the scale factor to the outside, but on both sides of the equation.

68 × 1.5 = 1.5(2L + 2W)

Multiply 68 by 1.5.

102 = 1.5(2L + 2W)

The answer is 102.

The perimeter of the resulting rectangle is 102 ft.

#teamtrees #PAW (Plant And Water)

Answer:

$8835.75

Step-by-step explanation:

The equation to use for this is for the area of a circle which is:

π r^2

So by plugging in 15 feet:

π 15^2,

π 225,

~706.86 ft^2.

Next, multiply this by the $12.50 per square foot.

706.86 * 12.50 = $8835.75

All done!

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

Answer:

A.) .75

Step-by-step explanation:

So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:

0.5, 0.5, 0.75, 0.75, 1, 1, 1  

And the median of the is 0.75

So the lower quartile is .75

hope this helps:)

Answer:

negative value for r

Step-by-step explanation:

Given data

Given the exponential function A(x)= P (1+r)^x

A negative value for r will make the function a decay

Hence the decay function will look like

A(x)= P (1-r)^x

Answer:

Answer B.

x² + 1

Step-by-step explanation:

x=1

Input x= 1 into x²+1 to get y

(1)²+1 = 2

when x=2

(2)²+1 = 5

when x = 3

(3)² + 1 = 10.

when x=4

(4)² + 1 = 17

Hence Option B

Answer:

Step-by-step explanation:

Answer: 27/ D8

Step-by-step explanation: Don’t know if you still need the answer and Hope this helps and have a good day