Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)

Answers

Answer 1

Answer:

h(X)=5x-6

Step-by-step explanation:

Fill in variables with corresponding equations.

h(X)=(3X-5)-(-2X+1)

Distribute the - sign to (-2X+1)

h(X)=3X-5+2X-1

Add and subtract values together to find answer

h(X)=5X-6


Related Questions

The diagram represents design of a triangular shaped photo frame match the segments and angles to the descriptions

Answers

Based on the angle-side relationship theorem, we would have the following:

Shortest side - ABLongest side - BCSmallest angle - ∠CLargest angle - ∠A

What is the Angle-side Relationship Theorem?

The angle-side relationship theorem states that the longest side of a triangle is opposite the largest angle, and vice versa.

Given the following:

m∠A = 82°  (largest angle)m∠B = 58°m∠C = 180 - 82 - 58 = 40° (smallest angle)

Therefore, based on the angle-side relationship theorem, we would have the following:

Shortest side - ABLongest side - BCSmallest angle - ∠CLargest angle - ∠A

Learn more about angle-side relationship theorem on:

https://brainly.com/question/18980866

What is the percent equivalent of 11.21?
A. 0.1121%
B. 11.21%
C. 112.1%
D. 1,121%

Answers

Answer:

Choice D

Step-by-step explanation:

11.21 x 100% = 1,121%

Answer:

D. 1,121%

Step-by-step explanation:

100% = 1

so 11 = 1,000%

.01 = 1%

so .21 = 21%

Round 47,250 to nearest ten thousand

Answers

Answer:

That would be 50,000

Step-by-step explanation:

Hope this helps :)

ninety hundred and seven thousandths as a decimial.

Answers

Answer:

Step-by-step explanation:

since 90 hundredths is 90/100, 90 hundredths is a fraction.  if you divide 90 by 100 you get 0.90  

since 7 thousandths is 7/1000 divide that as a fraction also.

You will get 0.007

add them together 0.907

Hope that helps

Which situation could be represented by the expression c−5?

Answers

C) Isabelle has 5 fewer pieces of candy than Destiny.

c represents the pieces of candy Destiny has, and c - 5 represents the pieces of candy Isabelle has.

(02.02 MC)
Joel has a small deposit to save and is looking for an account that offers a high rate of return. He
does not need to have easy access to the money, and he doesn't mind taking a risk. Which of the
following options would best suit his needs?
Money Market account
Traditional savings account
Traditional checking account
Certificate of deposit

Answers

Answer:

Money Market account

Step-by-step explanation:

Money Market accounts typically allow you to earn money at a higher interest rate than other types of savings accounts.

what are cube roots of unity ??​

Answers

[tex]\huge\bold\red{₳₦₴₩ɆⱤ:-}[/tex]

The root of unity is a number which is complex in nature and gives 1 if raised to the power of a positive integer n. These roots are used in different branches and topics of maths like number theory. It is also called as de Moivre system.

What are Cube Roots of Unity?

There are a total of three cube roots of unity which are as follows:

Cube Root of Unity Value Nature of Cube Root

1 Real

−½ + i √(3/ 2) Complex

−½ – i √(3/ 2) Complex

Here, a = 1 is the real cube root of unity while a = – ½ + i √(3/ 2) and a = – ½ – i √(3/ 2) are the imaginary or complex cube roots of unity.

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘꜱ❤

Rose bought 5 books for $22.00.
What was the cost per book?

Answers

Answer:

$4.4

Step-by-step explanation:

22/5

I believe the answer is $4.4

Step-by-step explanation:

so if you take $22.00 divided by 5 you would get the answer

Solve r-x+2y =1 for y

Answers

Answer: Am I wrong for getting no solution ?

Step-by-step explanation:

Help!
What is the answer to this question?

Answers

Answer:

23°

Step-by-step explanation:

243° + 94° + b = 360°

337 + b = 360

337 - 337 + b = 360 - 337

b = 23°

243+94=337

337-360=23

Answer is 23

Solve the inequality.
4│x + 5│ - 2 ≤ 10

Answers

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

HELP PLZ

What points could not be a function that includes (3,4), (2,5), (0,-3), (1,6) and (4,1) ?

A. (6,7)
B. (-5,6)
C. (1,2)
D. (-3,-2)

Answers

Answer:

c

Step-by-step explanation:

cant have the same x as the other functions

On a local sports team, 20% of 50 players are left handed. how many left handed players are om the team

Answers

Answer:

10

Step-by-step explanation:

In an effort to make childrenâs toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 81 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.

Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.

Required:
a. Specify the null and alternative hypotheses to test for whether the proportion of customer complaints has decreased by more than 5% under the new packaging design.
b. What is the value of the test statistic and the associated p-value?
c. At the 1% significance level, do the results support the engineers' claim?
d. At the 10% significance level, do the results support the engineers' claim?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Old design samples(n1) = 220

New design samples (n2) = 220

P1 = 81/220 = 0.368 ; P2 = 41/220 = 0.186

Null hypothesis : p1 - p2 ≥ 0.05

Alternative hypothesis : p1 - p2 < 0.05

Using the test statistic formula :

t = (P1 - P2) / √[P(1-P)(1/n1 + 1/n2)]

P = (81 + 41)/(220 + 220) = 122/440 = 0.277

1 - P = 0.723

t = (0.368 - 0.186) / (√(0.277(0.723)(1/220 + 1/220)))

t = 4.265

P value from z test at α = 0.05

P value = 0.00002

Test for significance at α = 0.01 ;

Test for significance at α = 0.1

Result is significant at both α levels, hence reject the Null.

We're rounding to the thousands place.
Between what two thousands is 5,779? Label the endpoints.

Answers

Answer:

5000 and 6000?

What is the area of the top of a table that is 8 feet by 12 feet?

Answers

Answer:

96

Step-by-step explanation:

use the formula l*w

8*12

96

96 is the answer to the question

Choose whether the following statements are TRUE or FALSE. (10)

1.21.1 A kite is a square.
1.21.2 A rhombus is a kite.
1.21.3 A square is a rectangle.
1.21.4 A polygon is a quadrilateral.
1.21.5 A parallelogram is a trapezium​

Answers

Answer:

1. False

2. False

3. True

4. False

5. False


1. A square contains all equal sides while a kite does not

2. A rhombus contains all equal sides while a kite does not

3. Yes, it’s a rectangle with equal sides however a rectangle is not a square

4. Other way around, a quadrilateral is a polygon

5. Parallelogram:

Opposite sides parallel

Opposite sides equal

Opposite angles equal

Diagonals bisect the parallelogram

Diagonals bisect each other

Trapezium:

One pair of opposite sides parallel

calculate the total area of the bottom sections of the back and the two side walls which should be tiled.Give your answer in squared metres rounded a
accurately to 2 decimals​

Answers

Step-by-step explanation:

calculate the total area of the bottom sections of the back and the two side walls which should be tiled.Give your answer in squared metres rounded a

accurately to 2 decimals

Answer:

789÷2=11 nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

125x80 solve the question

Answers

Answer:

10000.

.

.

.

.

.

.

.

.

.

.

.

.

hope its useful

If 1 ton = 2,000 lbs, how many pounds are in 6 tons?

Answers

Answer:

12,000

Step-by-step explanation:

Multiply 2,000 by 6 to get your answer

Hope that helps!

There are 12,000 pounds in 6 tons because 2,000 times 6 is 12,000!

A factory can produce 1,500 cans of juice in three hours. How many cans of juice can they produce in eight hours

Answers

Answer:

4000

Step-by-step explanation:

1500/3 equals 500.  500 times 8 equals 4000.

Answer:

4000

Step-by-step explanation:

1500 divided by 3 = 500

500 times 8 = 4000

Graph the following and state the domain, range, and end behavior
y=2x-4

Answers

Answer:

3

Step-by-step explanation:

Given the function f(x)=x^2 and the transformed function g(x)=4x^2+1, explain how the parent function was transformed.

Answers

Answer:

In the function g(x) = 4x² + 1, 4 means that all the points in the parent function were multiplied by 4. + 1 means that the parent graph will shift up by 1.

Surface of rectangular prism

Answers

Answer:

D. 392

Step-by-step explanation:

5x8=40

5x12=60

12x8=96

40+40+60+60+96+96=392

Nonsense will be reported!!​

Answers

Answer:

 3y-2=10

Step-by-step explanation:

Given;

Which of the following does Not belong to the group?

2x > 5 - x

3(x-4) [tex]\leq[/tex] -23

3y - 2 = 10

a < 13a + 1

Solve;

Base on the given data, we can infer that "3y-2=10" does Not belong to the group. You can see that other have Python. Python has six comparison operators: less than ( < ), less than or equal to ( <= ), greater than ( > ), greater than or equal to ( >= ), equal to ( == ), and not equal to ( != ). While, "3y-2=10" doesn't have one.

As well as if you simplify/solve these other will be given as a fraction while "3y-2=10" answer is a whole number.

Solution of each given answer choice;

2x > 5 - x

Add x to both sides

2x + x > 5 - x + x

Simplify

3x > 5

Divide both sides by 3

[tex]\frac{3x}{3} > \frac{5}{3}[/tex]

x[tex]x=\frac{5}{3}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3 ( x - 4) [tex]\leq[/tex] - 23

[tex]3\left(x-4\right)\le \:-23\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-\frac{11}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:-3.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{11}{3}]\end{bmatrix}[/tex]

Divide both sides by 3

[tex]\frac{3\left(x-4\right)}{3}\le \frac{-23}{3}[/tex]

Simplify

[tex]x-4\le \:-\frac{23}{3}[/tex]

Add 4 to both side

[tex]x-4+4\le \:-\frac{23}{3}+4[/tex]

Simplify

x [tex]\leq -\frac{11}{3}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3y-2 = 10

Add 2 to both sides

[tex]3y-2+2=10+2[/tex]

Simplify

[tex]3y=12[/tex]

Divide both sides by 3

[tex]\frac{3y}{3}=\frac{12}{3}[/tex]

Simplify

y = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a>13a+1

[tex]a > 13a+1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:a < -\frac{1}{12}\:\\ \:\mathrm{Decimal:}&\:a < -0.08333\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{1}{12}\right)\end{bmatrix}[/tex]

Subtract 13a from both sides

[tex]a-13a > 13a+1-13a[/tex]

Simplify

[tex]-12a > 1[/tex]

Multiply both sides by -1 (reverse the inequality)

[tex]\left(-12a\right)\left(-1\right) < 1\cdot \left(-1\right)[/tex]

Simplify

[tex]12a < -1[/tex]

Divide both sides by 12

[tex]\frac{12a}{12} < \frac{-1}{12}[/tex]

Simplify

[tex]a < -\frac{1}{12}[/tex]

Hence, Now you can infer that "3y-2=10" does not belong to the group.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

Is y = 2x + 5 proportional

Answers

Answer:

yes

Step-by-step explanation:

becaise you can solve it

Think I might need a Tutor for my SAT.

Answers

Answer:

I can tutor, for math

Step-by-step explanation:

Given that x²+ y² = 20 and xy = 7, calculate (x - y)².​

Answers

Answer:

6

Step-by-step explanation:

[tex]Here,\\\\\hookrightarrow x^{2} +y^{2} =20\:and\:xy=7\\\\Now,\\\\\hookrightarrow (x - y)^{2} \\\\Applying\:formula\\\\\hookrightarrow (x-y)^{2} =x^{2} -2xy+y^{2} \\\\Then\: we\: get\\\\\hookrightarrow x^{2} -2xy+y^{2} \\\\\hookrightarrow x^{2} +y^{2} -2xy\\\\\hookrightarrow 20-(2\times7)[Because\:x^{2} +y^{2} =20\:and\:xy=7]\\\\\hookrightarrow 20-14\\\\\hookrightarrow 6[/tex]

Answer: (x - y)² = 6

Concept:

Here, we need to know the concept of FOIL.

It is a way to expand squared or greater exponents parenthesis.

F irstO uterI nner L ast

Step-by-step explanation:

Given information

x² + y² = 20

xy = 7

Given expression

(x - y)²

Expand parenthesis through FOIL

= (x - y) (x - y)

= x · x - x · y - x · y + y · y

= x² - 2xy + y²

Substitute values into the expression

= x² + y² - 2xy

= (20) - 2 (7)

= 20 - 14

= [tex]\boxed{6}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

an insect is 3.5 millimeters long which expression finds the length of the insect in decimeter

Answers

Answer:

0.035 decimeters.

Step-by-step explanation:

Google

Answer:

The length of the insect in decimeters is 0.035.

Step-by-step explanation:

Conversion of unit questions can be solved by rule of three.

Each millimeter has 0.01 decimeter. How many decimeters are there in 3.5 millimeters? So:

1 ml - 0.01dm

3.5ml - x dm

The length of the insect in decimeters is 0.035.

"Maria is traveling along a road toward Harrisburg and sees the following sign.
Easton
Harrisburg
10 miles
25 miles
Maria knows there is a gas station located of the distance between Easton and Harrisburg.
How far does Maria have to travel, in miles, to reach the gas station?

Answers

Answer: 17 and 1/2 miles

Step-by-step explanation: They are 15 miles away from eachother which means halfway between the two is 7 and 1/2. 10 plus 7 and 1/2 is 17 and 1/2 and 25 minus 7 and 1/2 is 17 and 1/2.

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