Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).

Answers

Answer 1

[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]

[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]

[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]

[tex]\\ \sf\longmapsto f(-2)=-6[/tex]

.#2

[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]

[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]

[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]

.Now

[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]

[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2h[/tex]


Related Questions

2(6)-2x=3
CN someone answer? Use distributive property

Answers

Answer:

I think this is what you want:

2(6)-2x=3

We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.

2(6-x)=3

6-x=3/2

-x=-9/2

x=9/2

how many 2 digit combos can you make with numbers 1, 2, and 3?

Answers

Answer:

9 i believe

Step-by-step explanation:

11

12

13

21

22

23

31

32

33

Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?

Answers

Answer:

y > 3x - 4

Step-by-step explanation:

lmk if you want an explanation

This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answers

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

The formula for the area of a square with equal side, s, is given as s².

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

Therefore:

x² = 36

Take the square root of both sides

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

Learn more about area of a square on:

https://brainly.com/question/16758129

All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer​

Answers

A two-way relative frequency table  consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.

Shift                                     Response                              

                          Yes                        No                        Total

Day            

                          67%                  33%                     100%

Night              

                           23%                      77%                    100%

Total            

                         45%                              55%              200%

In this table there is data relating to two categories day/ night and yes/no.

Along the rows the percentages of the day/night data are calculated.

Along the columns the percentages of the yes/no data are calculated.

Shift                                     Response                              

                          Yes                        No                        Total

Day                  67/100*100           33/100  *100           100

                             = 67%                  =33%                     100%

Night                23/100*100           77/100*100               100

                          = 23%                     =77%                        100%

Total              90/200 *100               110/200*100           200

                         = 45%                       =   55%                   200%

These calculations are done by dividing the row cells by their respective row totals.

Similarly the columns cells are filled by dividing the column cells with their respective column totals.

For more understanding of  two-way frequency table click

https://brainly.com/question/6985885

https://brainly.com/question/16410093

https://brainly.com/question/2815014

Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days ​

Answers

Answer:

3 3/8 hours

Step-by-step explanation:

Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8

is (-a + b)² = a² - 2ab + b² right or wrong, and why?

Answers

Answer:

[tex]\huge\boxed{\sf Right.}[/tex]

Step-by-step explanation:

[tex](-a+b)^2[/tex]

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

cos^-1(cos 43°)
PLEASE HELP ME

Answers

[tex] \: \: \: \: \: [/tex]

[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]

Step-by-step explanation:

[tex] \cos( - 1) ( \cos(43°)) [/tex]

simplify the expression usiNg the symmetry of trigonometry

[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]

hope it helps

[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]

Stephanie has a -$40 balance on her credit card. She makes two additional charges to pay $20 for gas and $25 for parking. Then she makes a credit card payment of $30. What is her remaining balance?​

Answers

-40 -20 -25 -30 = -$115

Please help!! markup and markdown word problems.

1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?

2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?

Answers

Answer:

1) $343

2) $40

Step-by-step explanation:

1) Kathy paid (100 - 30)% of 490

so we can multiply 490 by 70%

490 x .7 = 343

2)  let 'x' = original price

if she's saving 10% (or .10) then she's paying 90% (or .90)

.9x = 36

x = 36/.9

x = 40

50 squared is rational

True
False

Answers

Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how many are made for kids who are 48 inches and taller?

Answers

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I

Answers

The original

Equation is V = IR

Where I is multiplied by R

To solve for I you need to isolate it by dividing both sides by R

I = V/ R

Answer: divide both sides by R

Answer:

To make I a subject of the formula V = IR, we divide both sides by R.

Step-by-step explanation:

V = IR

V/R =IR/R

The R in IR/R cancels out because it is on the other side.

We then have:

V/R = I

Which can be written as:

I = V/R

Hope this helps! Have a great day!

Mrs. Byrne washed
2
7
of her laundry. Her son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Answer:

Mrs. Byrne washed more

Step-by-step explanation:

125 divided by 100 I have to make corrections

Answers

Answer:

1.25

Step-by-step explanation:

125/100 = 1.25

Answer:

it's 1.25

Step-by-step explanation:

125 ÷100 = 1.25

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?

Answers

6 boxs she will only have 5 dollors left

also what kind of persom buys 6 pizza boxes for 4 friends

309 g to 299 g increase or decrease

Answers

Im pretty sure It would be a decrease

What is the common ratio for the geometric sequence?
18,12,8, ...
16/3
Enter your answer in the box.

Answers

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

Tanisha is hiring 3 musicians for her
birthday party. Each musician charges a
Travel fee of $30 plus an additional $65
per hour. Write an expression that
represents how much money Tanisha will
have to pay all three musicians after
hiring them for x amount of hours.

Answers

Answer:

y=65x+30

Step-by-step explanation:

Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept

Find ℎ(x) = f(x) − g(x)

Answers

I need to know what f(x) and g(x) is first

Answer:

h(x) = 7x - 3

Step-by-step explanation:

f(x) = 4x − 1 and g(x) = −3x + 2

h(x) = f(x) - g(x)

h(x) = 4x - 1 - (-3x + 2)

h(x) = 4x - 1 + 3x - 2

h(x) = 7x - 3

What's the value of x?

Answers

Acoording to roman numerals,X is 10

Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was 347.50. How many hours did kaya rent the limo for?

Answers

Answer:

Kaya rented the limo for 5 hours and 30 minutes.

Step-by-step explanation:

Answer:

Kaya rented the limo for about 5 hours and 30 minutes.

       

                    Hope this helps! good luck :)

In the first round of her new video game, Eluxxor,

Akira scored 220 points. In the second round, she scored – 85 points. What is Akira's total score at the end of the second round?

Answers

Answer: 135 points

Step-by-step explanation: 220 + -85 would be the equation

It costs $8 for admission to the Park City Ice Arena. In addition, renting skates costs $4 per hour.
Write an equation that shows how the total cost, y, depends on the length of the rental in hours, x.
Do not include dollar signs in the equation.

Answers

40 dollars

Step-by-step explanation:

Answer:

y = 8 + 4x

Step-by-step explanation:

y is the total cost of 1 skating experience.

y = 8 + 4x

This can be read as:  the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented.  No snacks included.

Simplify w4z8 ÷ w2y2z4.

Answers

Answer:

w^2z^4/y^2

Step-by-step explanation:

find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)

Answers

Answer:

y = [1]x + [-5 ]

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )

the line that passes through (3, -2) : -2 = (3)+b
b = -5

the equation is : y = x-5

3. Elena had 12 hours working at home daily as a full-time wife and mother. She
spent 12.5% of the time washing clothes. How many hours did she wash the
clothes?

Answers

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

The answer is 8 hours

The round off value of 38.23 to the nearest whole number is?

Answers

Answer:

38

Step-by-step explanation:

38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up

Answer:

Rounding 38.23 to the nearest whole number would be 38

Step-by-step explanation:

Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50

If it was 0.50, the answer would go up to 39.


A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
1732 + |-101 = 2
+
Step 1: = 1 + 9 + 10 = 2
+
Step 2= *** + 10 = 2
1 +9
10
Step 3: = 5 + 10 = 2
Step 4: =
2 + 10 = 2
Step 5: 12 = 2
Step 6: = 6
O A Step 4
OB. Step 1
OC Step 3
OD. Step 5

Answers

Answer:

Step 3.

Step-by-step explanation:

In step 3, he/she should've divided 10 by 2 instead of adding 1/5 to 9/5.

Conclusion:

Therefore, Step 3 includes the mistake.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer are all correct

help pls please hmmm​

Answers

Step-by-step explanation:

Here is your answer

(2)⁴*³2¹²

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

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