Mathematics High School

1. Simplify:
4(4y-7y^{2})-9(5y+2)

2. Simplify:
24 – 4(5y – 6z) + 3y – 7z

Answers

Answer 1

Answer:

1)-

How to solve your question

Your question is

4(4−72)−9(5+2)

4(4y-7y^{2})-9(5y+2)4(4y−7y2)−9(5y+2)

Simplify

1

Rearrange terms

4(4−72)−9(5+2)

4({\color{#c92786}{4y-7y^{2}}})-9(5y+2)4(4y−7y2)−9(5y+2)

4(−72+4)−9(5+2)

4({\color{#c92786}{-7y^{2}+4y}})-9(5y+2)4(−7y2+4y)−9(5y+2)

2

Distribute

4(−72+4)−9(5+2)

{\color{#c92786}{4(-7y^{2}+4y)}}-9(5y+2)4(−7y2+4y)−9(5y+2)

−282+16−9(5+2)

{\color{#c92786}{-28y^{2}+16y}}-9(5y+2)−28y2+16y−9(5y+2)

3

Distribute

−282+16−9(5+2)

-28y^{2}+16y{\color{#c92786}{-9(5y+2)}}−28y2+16y−9(5y+2)

−282+16−45−18

-28y^{2}+16y{\color{#c92786}{-45y-18}}−28y2+16y−45y−18

4

Combine like terms

2)

−17y+17z+24

See steps

Step by Step Solution:



STEP1:Equation at the end of step 1

((24 - 4 • (5y - 6z)) + 3y) - 7z

STEP2:

Final result :

-17y + 17z + 24

−282+16−45−18

-28y^{2}+{\color{#c92786}{16y}}{\color{#c92786}{-45y}}-18−28y2+16y−45y−18

−282−29−18

-28y^{2}{\color{#c92786}{-29y}}-18−28y2−29y−18

Solution

−282−29−18

Related Questions

One gallon of milk has 128 fluid ounces. How much milk is in 6.5 gallons?

Answers

Answer:

832 fluid oz

Step-by-step explanation:

Multiply 128 by 6.5

Answer:

832

Step-by-step explanation:

Multiply 128 by 6.5 gallons

f(x)=3x−5 and g(x)=x2 Find (f°g)(3)

Answers

Answer:

22

Step-by-step explanation:

3!(3)^2-5

3÷9-5

37-5=22

Hello can someone help me please..?

Answers

Answer:

From 3:23-3:24

Step-by-step explanation:

A recipe calls for 3 1/2 cups of milk and makes 10 servings. How many cups of milk are needed for 8 servings? (Hint: Set up a proportion, don’t forget to label!)

Answers

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Here's our proportion of cups of milk to servings

3 1/2:10      For my sake I'm using decimals

3.5:10

Now let's try to get our servings to 1 (a unit rate)

0.35:1         I divided by 10 on each side

We need 8 servings not 1 so let's multiply 8 on each side

2.8:8

In case you want it in fraction form we can do 2 8/10 and simplify it to 4/5 by dividing by 2. Our answer is 2.8 or 2 4/5 cups of milk for 8 servings.

2(6-2x)-2x=2(5+x)-4 value of x?

Answers

Answer:

x= 3/4

Step-by-step explanation:

I looked it up. Hope this helps

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

2(6 - 2x) - 2x = 2(5 + x) - 4 ← distribute parenthesis on both sides

12 - 4x - 2x = 10 + 2x - 4 ← simplify both sides

12 - 6x = 6 + 2x ( subtract 2x from both sides )

12 - 8x = 6 ( subtract 12 from both sides )

- 8x = - 6 ( divide both sides by - 8 )

x = [tex]\frac{-6}{-8}[/tex] = [tex]\frac{3}{4}[/tex]

A diver descended 46.36 feet in 12.2 minutes.What was the divers average change in elevation per minute? The average change in elevation per minute was ?Ft per minute

Answers

Answer:

The average change in elevation per minute is 3.8 ft per minute

Step-by-step explanation:

Here. we want to calculate the average change in elevation per minute

To calculate this, we simply need to divide the total descent over the total number of minutes

Mathematically, that would be;

46.36 feet / 12.2 minutes = 3.8 feet per minute

Stacy paid $54 for 6 pizzas, which is a rate of $ ? per pizza.

Answers

Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

C-17 = 19
Hi please help

Answers

Answer:

C=36

Step-by-step explanation:

C-17=19

C=19+17

C=36

Given f(x) = -x + 1, solve for x when f(x) = 0.

Answers

Answer:

1

Step-by-step explanation:

0=-x+1

-x=-1

x=1

Can someone help me with this fast please?
Thank You

Answers

Answer:

3/10 is greater

Step-by-step explanation:

2/7 is equal to 0.29... and 3/10 is equal to 0.3

So, 0.3 is bigger than 0.29

There are more boxes shaded in the picture to the right than the picture to the left. 21 > 20

express 9 3/2 in simplest radical form

Answers

Answer:

Exact Form:

√93

Decimal Form:

27

Step-by-step explanation:

1. If all the sides of one triangle are congruent to all the sides of another triangle, the two
triangles are congruent by:
a. SAS postulate
b. SSS postulate
c. AAA postulate
d. None of these.

Answers

Answer:

bvs rverve wber

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3x-1/5=x+1/3 solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

= 2

Which of these is equivalent to 1 over x to the power of 5 ? 1 fifth x negative x to the power of 5 x to the power of 5 x to the power of negative 5 end exponent

Answers

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

Help plz ASAP helppppp

Answers

Answer:

Same-side interior angles

Step-by-step explanation:

Pamela's town voted on a new speed limit. 70% of the 20 votes were in favor of the new speed limit. How many votes were in favor?

Answers

Answer:

14 votes

Step-by-step explanation:

70% of the 20 votes =0.7*20 = 14 votes

Answer:

14 votes

Step-by-step explanation:

To find 70% of 20, first convert the percentage into a decimal. Move the decimal place two places to the left.

Now take the 20 and multiply it by 0.70.

You will end up with 14 as your answer.

i'll mark you has brainliest​

Answers

Answer:

y= 5 x+ 1

Step-by-step explanation:

Answer:

i think its 21x + 11 = y

Step-by-step explanation:

sorry if this is wrong, if it is someone correct me.

Two helicopters leave a heliport at the same time. The first flies 160km/h in a direction of 290 degrees. The second flies 100km/h in a direction of 250 degrees. After 3 hours, how far apart are the helicopters? Round your answer to the nearest kilometer.

Answers

Answer: 315 km

Step-by-step explanation:

If the angle θ is measured from the x-axis, and we have a magnitude A, we can find the rectangular coordinates as:

Ax = A*cos(θ)

Ay = A*sin(θ)

Then:

The first helicopter has a speed of 160km/h, and it's angle is 290°.

Then the components will be:

Vx = 160km/h*cos(290°) = 54.7 km/h

Vy = 160km/h*sin(290°) = -150.4 km/h

Then the point location as a function of time, can be written as:

(where i assumed that the initial position of both helicopters was (0, 0))

P1(t) = (54.7 km/h*t, -150.4 km/h*t)

where t is time in hours.

We can do the same for the other helicopter:

The speed is 100km/h, and the angle is 250°

Then:

Vx = 100km/h*cos(250°) = -34.2 km/h

Vy = 100km/h*sin(250°) = -94 km/h

Then the point location as a function of time, will be:

P2(t) = (-34.2km/h*t, -94 km/h*t)

After 3 hours, the position of each helicopter will be:

P1(3h) = (54.7 km/h*3h, -150.4 km/h*3h) = (163.1 km, -451.2 km)

P2(3h) = (-34.2km/h*3h, -94 km/h*3h) = (-102.6km, -282km)

Now we can calculate the distance between these two points.

Remember that the distance between the points (a, b) and (c, d) is:

D = √( ( a - c)^2 + (b - d)^2)

In this case the distance will be:

D = √(  (163.1 km - (-102.6km))^2 + (-451.2 km - (-282km))^2)

D = √(  (163.1 km + 102.6km)^2 + (-451.2 km + 282km)^2)

D = 315km

a line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line​

Answers

Answer:

y=-2/3x+6

Step-by-step explanation:

hope this helps

If Xavier can read 114 pages in 30 minutes, how many pages can he read per minute?

Answers

Answer:

3.8 pages per minute

Step-by-step explanation:

what what you do is divide 114 by 30.

Answer:

3.8 pages per minute.

Step-by-step explanation:

Divide 114 pages by 30 minutes to get 3.8.

Increase 2800kg
by 21​

Answers

Answer:

3388 kg

Step-by-step explanation:

If you mean to increase by 21%, then

You may

100% + 21% = 121%

2800 x 121/100

2800 x 1.21

= 3388 kg

Write an expression that can be used to determine the total cost of buying g pounds of granola for $3.25 per pound and f pounds of flour for $0.74 per pound. (Do not enter dollar signs or spaces in your expression.)

Answers

Answer:

3.25g + 0.74f = t

helllppppleaseeeee.

Answers

Answer:c

Step-by-step explanation:

The correct answer would be A

What is the probability of spinning an odd number on the spinner below?

Answers

If the spinner has an odd number of numbers on it, The probability or spinning an odd number will vary

PLEASE HELP ME OUT! WIL GIVE BRAINLIEST TO ANYONE WHO ANSWERS BOTH OR ATLEAST ONE AND SHOW WORK!! THANK YOUU

Answers

Answer 1 is the attached pic

Answer:

16

Step-by-step explanation:

(-2i)(8i)

(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))

2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))

16(cos(2π)+i×sin(2π))

16(cos(0+2π)+i×sin(0+2π))

16(cos(0)+i×sin(0))

16(alternate form)

Solve for X.

A. 168
B. 180
C. 21
D. 42

Answers

Answer:

Answer = C

Angle x = 21

Property = Angle sum of Triangle

Determine which of following table is NOT a function.

Answers

Answer: C

Step-by-step explanation:

C beacause one X cannot have two different Y values

PLEASE ANSWER I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!

Answers

Answer:

1) third point

2) no is the answer

what is the range of this function (I NEED AN ANSWER RLLY FAST PLSSSS)

Answers

Answer:

d

Step-by-step explanation:

the first oval's domain and the second's range. so you just choose the choice that includes all the values in the ranger.

The heights of basketball players (cm) in one NBA team are given as follows. {158, 180, 185, 192, 192, 195, 196, 198, 200, 205, 213}. The data can be represented in the box-and whisker plot below (picture).
(a) Find the values of a, b , c, d, and e.
(b) Calculate d-b. What does it represent?
(b) Calculate e-a. What does it represent?

Answers

Answer:

Below in bold.

Step-by-step explanation:

(a)    a = 158.

The median = the middle value = c = 195.

The lower quartile = the middle value of the first 5 heights = 185 = b.

The upper quartile = the middle value of the last  5 heights = 200 = d.

(b)  d - b = 200 - 185 = 15 = the interquartile range (IQR).

(c)  e - a  is the range = 213 - 158 =  55.

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