Completely factor the polynomial 8x2 – 24x + 20x – 60.

8x(x + 3)(x – 5)
(4x – 3)(2x – 5)
2(2x – 3)(2x + 5)
4(x – 3)(2x + 5)

Answer:

3/2 is greater than 1

Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

Hope that helps :)

Answer:

hope it helps

Step-by-step explanation:

You'll be doing a lot of graphing, quadratic equations, polynomial equations, trig graphs and inverse graphs to name a few things so make sure you're good with algebra, geometry, and trigonometry. Trig identities and algebra skills

Answer:

-73

Step-by-step explanation:

if f is 73

and they made f negative, they just made 73 negative too.

i don't know if there is more in that expression

all i can see is

-f=___

Answer:

Step-by-step explanation:

(-3)ˣ⁻² = -243

(-3)ˣ⁻² = (-3)⁵

x-2 = 5

x = 7

Answer:

9.6(x)= 27.36 27.36÷9.6=x x=2.85

Answer:

a. 405/4

b. 1/32

Step-by-step explanation:

a. (5x8 + 5) / 8 x 18

= 45/8 x 18

= 405/4

b. 3/8 ÷ 12

= 3/8 x 1/12

= 1/32

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

Answer:

c=what is the total cost of ordering one book..

Step-by-step explanation:

Given function:

What this means:

Therefore, b=the total cost of ordering one book..

Answer:

Step-by-step explanation:

Given system:

Substitute z in the first two equations with z = 3 - kx:

In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.

Solve the following equation for k:

Answer:

hey there, it's option A, -7.

Answer:

x = 2.55 miles per day

Step-by-step explanation:

In English:     5 days * 'x' miles per day = 12 & 3/4 miles total

In algebra:    5x = 12.75

                       x = 12.75 ÷ 5

                      x = 2.55 miles per day

Answer:

Actual Mean = 43

Step-by-step explanation:

Given Mean = 38

No of observations = 9

we know,

Mean = Sum / N

38 = Sum/ 9

Sum = 38 x 9 = 342

Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.

New sum = 342 - 27 = 315 again, 315 + 72 = 387

The no. of observations stays the same.

Actual mean = New Sum / N

= 387/9

=43

Step-by-step explanation:

arithmetic mean =38

n=9

mean=sum/n

sum=mean×n=38×9=342

mistakenly observation 27 is taken instead of 72

new sum becomes =342+72-27=387

now

new mean =new sum/n=387/9=43

the actual mean of the data is 43.

Answer:

Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".

Step-by-step explanation:

Answer:

f(1) = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 1

f(1) is x = 1

Step 2: Evaluate

Answer:

The average rate of change is two feet per second.

Step-by-step explanation:

The height of an arrow shot up into the air from a height of three feet is given by the function:

[tex]h(t)=-2t^2+12t+3[/tex]

And we want to find its average rate of change from one second the four seconds.

The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.

After the first second, the height of the arrow is:

[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]

And after the fourth second, the height of the arrow is:

[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]

This yields two points: (1, 13) and (4, 19).

The slope between them is:

[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]

Therefore, the average rate of change from one second to four seconds is two feet per second.

Answer:

3/4

Step-by-step explanation:

hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy

Answer:

C

Step-by-step explanation:

2x + 1 = 85 (Alternate Interior Angles Theorem)

2x = 84

x = 42

(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)

3y + 5 + (85) = 180

3y + 5 = 95

3y = 90

y = 30

Answer:

x = 42, y = 30

Step-by-step explanation:

Alternate angles are equal so

85 = 2x + 1

2x = 84

x = 42°

Linear pair

(3y + 5) + (2x + 1) = 180

3y + 5 + 85 = 180

3y = 90

y = 30°

So I think the answer is x = 42° and y = 30°.

Hope it helps.

Answer:

Yeah thats weird

Step-by-step explanation:

Answer:

35.8

Step-by-step explanation:

Answer:

35.8

Step-by-step explanation:

Done the test

Answer:

A) would be the answer

Step-by-step explanation:

this is the answer because 2 groups with 10 blocked all together has to have 5 blocks each group, also 5+5=10

Answer:

26

Step-by-step explanation:

Substitute the values of r and s into the equation:

10 + r(s - 1 ) =

10 + 4(5 - 1 )

Then use Pemdas to solve the rest.

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

I think 15 I dont see it in the options but im going to explain my answer

Step-by-step explanation:

4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15

SO 8 x 13 = 104 - 15 = 89 so therefore its 89!

Answer:

50 miles per gallon, 50/1

Step-by-step explanation:

answer :

z=11

y=13

will be ur answers

Answer:

45

Step-by-step explanation:

Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps

Step-by-step explanation:

1. Label each side of the Triangle

Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).

2. Cross out the 'useless' side

Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.

3. Decide which method is correct

We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.

4. Know the formula

Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.

Cos( ) = A/H

5. Substitute in your numbers

Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:

Cos(x)

Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.

Our formula will look like this:

Cos(x) = 7/12

6. Reverse it and calculate

Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:

cos-^1(7/12)

The result should say 54.31466529.

7. Round

Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,

 our answer is 54.3 degrees.

the first one is correct

i can prove it but its hard on this app and it has a long solution

you can prove it by Thales law

hope this helps

Answer:

1/5

Step-by-step explanation:

Chance is also referred to as probability

probability = Number of event/Total samples space

If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space

Sample space = 6 + 8 + 2 + 4

Sample space = 20socks

Total number of blue socks is the event

Number of event = 4 blue socks

Chance that the socks is blue = n(E)/n(S)

Chance that the socks is blue = 4/20

Chance that the socks is blue = 1/5

Answer:

Common-size percent for cash = 5.73 % (Approx.)

Step-by-step explanation:

Given:

Total cash = $26,200

Total assets = $457,000

Total equity = $156,630

Find:

Common-size percent for cash

Computation:

Common-size percent for cash = [Total cash/Total assets]100

Common-size percent for cash = [26,200/457,000]100

Common-size percent for cash = 5.73 % (Approx.)