30 POINTS! Combine the like terms of the 2 questions below:

1. y + 4 + 3(y + 2)

2. 0.5(x⁴ - 3) + 12

Answers

Answer 1

Answer:

[tex]\tt 1)\: \boxed{\tt 4y+10}[/tex]

[tex]\tt 2)\:\boxed{\tt 0.5x^4+10.5}[/tex]

Step-by-step explanation:

1) y + 4 + 3(y + 2)

Expand:-

[tex]\tt y+4+3y+6[/tex]

Combine like terms:-

[tex]\tt y+3y+4+6[/tex]

[tex]\boxed{\tt 4y+10}[/tex]

__

2) 0.5(x⁴ - 3) + 12

Expand:-

[tex]\tt 0.5x^4-1.5+12[/tex]

Add/Subtract Numbers:-

[tex]\boxed{\tt 0.5x^4+10.5}[/tex]

___________________


Related Questions

Find the slope of the line graphed below.

Answers

Answer:

—7/3

Step-by-step explanation:

1) Choose two points on it.

like (1,3) and (4,—4)

2) slope is

[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]

Answer:

-7/3

Step-by-step explanation:

Slope formula:

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

The two points on the graph are (1,3) and (4,-4).

Substitute into the formula:

[tex]\frac{-4 - 3}{4 - 1}[/tex]

Simplify:

[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Answers

Answer:

y=5x-5

Step-by-step explanation:

The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.

The sum of 15 and twice a number is -31. Find the number

Answers

Answer:

-23

Step-by-step explanation:

15 + 2n = -31

15 + 2n - 15 = -31 - 15

2n = -46

n = -23

Help i will give thanks to the first to answer

Answers

Answer:

The value of the expression is 21

Step-by-step explanation:

You need to plug 5 into z

Expression:

5z-4

5(5) - 4

Notice that 5 shall be multiplied meaning 5 x 5

25-4

= 21

It's 21 since 5 times 5 is 25 subtracted 4 is 21

thought it was something else

With that in mind, try to answer the question.
If the diameter of the moon is 3476 km, what is the circumference of the moon,
in kilometers? (Round your answer to the nearest thousand kilometers.)
Answer

Answers

Answer:

10920.176064km

Step-by-step explanation:

Circumfrence = 2*pi*radius

radius = diameter/2

r = 3476/2

c=2(pi)r

c=2(pi)(3476/2)

c=10920.176064

The triangles below are similar. Find x.

a. 1
b. 2
c. 3
d. 4

Answers

Answer:

a. 1

Step-by-step explanation:

[tex]\frac{x+2}{x} =\frac{6}{2} =3[/tex]

The ratio is 1:3

[tex]x+2=3x[/tex]

[tex]2=3x-x\\2=2x\\[/tex]

x = 2/2 = 1

Hope this helps

The number of ways 4 chairs can be arranged.

Answers

Answer:

24 arrangements.

Step-by-step explanation:

ive done this before

What is the value of the expression 20 ÷ 4 + (6 x 2) − 2? (2 points)

15

22

17

28

Answers

Answer: 15

Step-by-step explanation:

20 ÷ 4 + (6 x 2) − 2

Start by solving the parenthesis

20 ÷ 4 + (12) − 2

Now using order of operations we know to do division before addition/subtraction

5+12-2

Solve addition/subtraction from left to right

17-2

15

Find the slope of the line passing through the points (-4, 1) and -9,5)

Answers

The slope of the line is -0.8.

The formula for distance  is...

y2−y1                                5−1

______=                       ________    

  x2−x1                            −9− −4

And so when simplified we  get

4

__

-5

Giving us -0.8.

I need help please. What is the similarity statement for the triangle pair?
A. ΔXYZ~ΔNEW
B.ΔXZY~ΔNWE
C.ΔYZX~ΔNWE
D. ΔZYX~ΔENW

Answers

Hello! I believe the answer you’re looking for is C.

Use the information shown in the line plot. What is the total weight of the 4 heaviest melons?

Answers

Answer:

22.5 lbs

Step-by-step explanation:

the four heaviest melons are 5 1/2, 5 1/2, 5 1/2, and 6 pounds

when you add those together

5.5 + 5.5 + 5.5 + 6

you get

22.5 lbs

The sale tax rate is 5%. Jadon buys a shirt at $200.What will be the total cost, including tax

Answers

210.
Because when tax is turned into a decimal, .05 multiplied by 200 is 10 then add 10 to 200 making 210

Match each action with its effect on the set of scores shown. Use each action only once.
90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65

Answers

The change that will occur to the mean, median, mode of the data matched as follows:

1. e

2. b

3. d

4. a

5. c

What is the Mean fo a Data Set?

To find the mean, the sum of all the values is divided by the number of values.

Given the data, 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65, therefore:

1. 35 is an extreme value, so it is an outlier. If we remove 35, the greatest change will be on the mean. (e)

2. If we remove 90, 67 will have the highest frequency. This means the mode of the data will change to 67. (b)

3. If 76 is removed from the data, the median of the data would be 79. (d)

4. If we remove 100, the range of the data would be, 94 - 35 = 59. (a)

5. If we remove 94, the mean of the data = 1108/15 = 73.87

This means the mean of the data will change to 73.87 if we remove 94. (c)

Learn more about the mean of a data on:

https://brainly.com/question/11015069

What is the value of x in this equation? 5x= 15

Answers

Answer:

x=3

Step-by-step explanation:

15 divided by 5= 3

5(3)=15

so x=3

Which decimal is equivalent to 0.75?

Answers

Answer:

Fracción

3/4

Fracciones equivalentes

6/8

Decimal

0,75

Answer:

3/4.

Step-by-step explanation:

0.75 = 75/100

= 3/4

Wall Drugs offered an incentive stock option plan to its employees. On January 1, 2021, options were granted for 69,000 $1 par common shares. The exercise price equals the $5 market price of the common stock on the grant date. The options cannot be exercised before January 1, 2024, and expire December 31, 2025. Each option has a fair value of $1 based on an option pricing model.

What is the total compensation cost for this plan?

Answers

if you copy the words and paste it you will get it right 100% did it already gotcha

What is the slope-intercept equation for this line?

Answers

Answer:

the slope intersection is xy

Answer:

y=-3x+4

Solution:We are given 2 points: (1,1) and (0,4)We can use these points to find the slope of the line:[tex]m=\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{4-1}{0-1}[/tex][tex]\displaystyle\frac{3}{-1}[/tex][tex]-3[/tex]Now, let's identify the y-intercept.The y-intercept is the point where the graph touches the y-axis.Since the graph touches the y-axis at (0,4) the y-intercept is equivalent to (0, 4) or 4.

Hope it helps.

Do comment if you have any query.

Pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)

Answers

Answer:

$19.90

Step-by-step explanation:

Cost at Best Computers

$299 x (100 - 40)%$299 x 60%$299 x 0.6$179.40

Cost at Val-U-Mart

$299 x (100 - 30)% - $10$299 x 70% - $10$299 x 0.7 - $10$209.30 - $10$199.30

Money saved

199.30 - 179.40$19.90

There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile

Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile

According to the graph below, for how many miles will the charges from both taxi cab companies be equal?

1. 8
2. 1
3. 7
4. 4

Answers

Answer:

The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.

Step-by-step explanation:

Redwood Taxi:

$2.00 + $1.00(6)

 $2.00 + $6.00 = $8.00

Max's Taxi Service:

$5.00 + $0.50(6)

 $5.00 + $3.00 = $8.00

Easier Solution:

Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.

         

Answer:The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.

Step-by-step explanation:

Redwood Taxi:

$2.00 + $1.00(6)

$2.00 + $6.00 = $8.00

Max's Taxi Service:

$5.00 + $0.50(6)

$5.00 + $3.00 = $8.00

Easier Solution:

Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.

       

Find all relative maximum and minimums of f(x) =2x^3-3x^2-12x+5 Explain your steps in detail.

Answers

Answer:

The relative minimum is (3,-4) and the relative maximum is (-2,1)

Step-by-step explanation:

The first step is to take the derivative of f(x)

By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12

The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3

Put -2 and 3 on a sign chart and determine the behavior for both of those functions

The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).

The next step is to find the f(x) values or y values of your two points

By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1

Since there was interval given, I cannot find the absolute extremas of this function.

PLEASE HELP BEST ANSWER GETS BRAINLY

Answers

Answer:

it is the third one 1,133.54 in²

Step-by-step explanation:

38÷2=19 = R

19²×3.14 = 1,133.54 in²

a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be 50⁰ what is the height of the tower​

Answers

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

[tex]\rightarrow[/tex]Now, clearly it is forming a triangle.

So, in triangle ABC,

[tex]\rightarrow[/tex][tex]\sf{Tan50° \:= \: \frac{BC}{AC}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 \:= \: \frac{BC}{50}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 ×50\:= \: BC}[/tex]

[tex]\rightarrow[/tex][tex]\sf{59.5m\:= \: BC}[/tex]

[tex]\rightarrow[/tex]Hence, BC = 59.5m

So, BD(total height of the tower)[tex]\sf{ = \:BC+CD}[/tex]

[tex]\sf{= \:59.5+1.65}[/tex]

[tex]\sf{=\: 61.15m}[/tex]

Therefore, total height of the tower =[tex]\sf\purple{ 61.15m.}[/tex]

________________________________

Hope it helps you:)

Answer:

61.24 m to the nearest hundredth.

Step-by-step explanation:

tan 50 = H / 50  

H =  50 tan 50

Height of the tower = H + height of the woman

= 50 tan 50 + 1.65

= 61.2377 m

what is fhe solution of the system of these equations? (i’m giving brainliest)

Answers

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. A ramp formed the angles shown to the right. What are the values of A and B?

Answers

Answer:

A=167⁰, B=13⁰

Step-by-step explanation:

A=167⁰

B=13⁰

I HOPE IT HELPED YOU

Answer:

a° = 167°, b° = 13°

Step-by-step explanation:

since the angles in a triangle add to 180°, we can work out b°

90° (right angle) - 77° = 167°

180° - 167° = 13°

since the angle of a straight line is also 180°, a° would be 180° - 13° which is 167°.

solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]


thankyou ~​

Answers

Answer:

x²-5x+6 =0

x²-3x-2x+6 =0

x(x-3)-2(x-3)=0

(x-2)(x-3) =0

x-2 =0, x-3 = 0

x=2 , x = 3

x = 2 or 3 answer

Madison's favorite part of pizza is the crust. Pizza sizes are determined by their
diameter. Which size pizza should Madison order to get 37.68 inches of crust?

Answers

Answer:

Step-by-step explanation:

let a=x2+4. use a to find the solutions for the following equation:(x2+4)2+32x2=48

Answers

X= la raiz cuadrada de 20/17 y la raiz cuadrada de -20/17


esas son las respuestas segun yo pero revisalas para ver si estoy en lo correcto


The following statement is a Contingency: (P and (P => Q)) => Q T True F False

Answers

The statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.

What is a contingency statement?

Contingency is a statement in which there are some true and some false values for every value of its propositional variables.

The statement given is (p and (p => q)) => q), or in more symbolic way, it is: ((p ∧ (p → q)) → q)

Now, let we evaluate it for p = False, and q = False.

Then we get:

(p → q) = T (as False implied False)

Now, (p ∧ (p → q))  is F and T which is F

Then, ((p ∧ (p → q)) → q)  is F  → F which is True, or T.

Thus, p = F,and q = F makes  ((p ∧ (p → q)) → q)  = T

Similarly, the truth table for the statement (p and (p => q)) => q) or simply  ((p ∧ (p → q)) → q) is:

p q ((p ∧ (p → q)) → q)

F F T

F T T

T F T

T T T

Since all the values are true, thus, this isn't a contingency.

Thus, the statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true  values and some false values.

Learn more about contingency here:

https://brainly.com/question/11656774

#SPJ1

when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?

Answers

[tex]x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}[/tex]

What is the area of this figure?
Enter your answer in the box.
in2
8 in.
116 in.
20 in.

Answers

Answer:

8

Step-by-step explanation:

I think we should add all the numbers when you multiply them by 5 then you will get 8.8

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