What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i

|4x + 4| = 15

First, let's get rid of the absolute value signs to get the first solution.

4x + 4 = 15

Subtract 4 from both sides

4x = 11

Divide each side by 4

x = 11/4 or 2.75

Now, let's get the solution by changing 15 to -15.

4x + 4 = -15

Subtract 4 from both sides

4x = -19

Divide both sides by 4

x = -19/4 or -4.75

Answer:

[tex]6^6[/tex] (or 46656)

Step-by-step explanation:

[tex]6^9\div6^3=\frac{6^9}{6^3} =6^{9-3}=6^6[/tex] (or 46656)

Steps to solve:

6^9 / 6^3

~Apply rule

6^9-3

~Simplify

6^6

Best of Luck!

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

Answer:

0.1875

Step-by-step explanation:

Answer:

[tex]\boxed {\tt h=20\ inches}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

[tex]v=l*w*h[/tex]

We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.

[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]

[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]

Multiply 31 inches and 19.5 inches.

[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]

We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]

[tex]20 \ in =h[/tex]

The height of the shopping basket is 20 inches.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D

Answer:

qp

Step-by-step explanation:

pq = p * q

In multiplication like this, the order doesn't matter:

5 * 3 = 15

3 * 5 = 15

2 * 9 = 18

9 * 2 = 18

Thus,

pq = p * q = q * p = qp

Answer: qp

Answer: The answer is m= ≥4.50

The required inequality is m ≥ 4.50

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at least $20.

Cost of the shirt = $15.50

you can use a $5 discount coupon if you spend at least $20

The question requires you to find how much more you need to spend to be able to use the $5 discount coupon

The shirt already cost $15.50

Total amount you need to spend = $20

Let the amount remaining = m

m ≥ $20 - 15.50

m ≥ $4.50

Hence, you need to spend $4.50 in order to be able to use the $5 discount coupon.

For more references on inequality, click;

https://brainly.com/question/11612965

#SPJ2

Answer:

14

Step-by-step explanation:

Answer:

1/14^-1 is the same as 14/1^1

thus the answer is 14

the rule used states that a over b power negative 1 is equivalent to b over a power one

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

Answer:

They will have enough money to spend on 6 goodie bags

Step-by-step explanation:

First, you need to mutiply $2.49 × 6 and then you get 14.94

then you need to subtract $20.00 - 14.94 to get $5.06

so your answer should be,  ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨

Answer:

[tex]\sqrt{2} or (1/2)[/tex]

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

where is the s in here though

Answer:

look it up

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]

Answer:

x=3

Step-by-step explanation:

[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]

hope it helped you:)

Answer:

3

Step-by-step explanation:

5-2x=-1

-5__-5

____-6

-2

3

Answer:

1/4 pound

Step-by-step explanation:

2 1/2 divided by 10

=

1/4

or

5/2 divided by 10

=

1/4

Answer: 1/4 lbs

Step-by-step explanation:

To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.

(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day

Answer:

7.2 gallons

Step-by-step explanation:

2.25 x 3.2 = 7.2

Answer:

7.2

Step-by-step explanation: :>

Answer:

x^4+x^2-20 factored

b=2

Step-by-step explanation:

(x+2)

(x-2)

(x^2+5)

Answer:

the graphed points are in the picture attached

They intersect at (-8,1)

It passes through the x-axis at (-10,0)

It passes through the y-axis at (0,5)

Step-by-step explanation:

:)

Answer:

its a blue line from one ten to anothor

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

Step-by-step explanation:

scan it u could have the answer in a flash

Answer:

x=-2

Step-by-step explanation:

2x+7=-9-6x

add 6x on both sides

8x+7=-9

subtract 7 on both sides

8x=-16

x=-2

Answer:

x=-2

Step-by-step explanation:

Let me know if I need to explain but here is the answer cause i know you are in a rush.

Answer:

100

Step-by-step explanation:

cause they its 100

Answer:

14 feet

Step-by-step explanation:

Use the square area formula, A = s², where s is the side length

Plug in the area and solve for s:

A = s²

200 = s²

14 = s

So, each side of the patio is 14 feet

Answer:

2.25 pages per minute

Step-by-step explanation:

Step 1:

18 ÷ 8

Step 2:

2.25

Answer:

2.25 pages per minute

Hope This Helps :)