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

After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?

Answers

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

Learn more about simplification of algebraic expression here: https://brainly.com/question/8956927

Find the product and simplify answer -3a^3(7a^4 - 5a + 5)

Answers

[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]

Ok done. Thank to me :>

solve the equation using elimination

Answers

Answer:

1 1/3

Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

What is the slope of a line that passes through (2, 4) and (3, 8)

Answers

4 is the correct answer because it just is i dont need to prove myself to you

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp

Answers

Answer:

(-6,-5)

Step-by-step explanation:

y2-y1

x2-x1

subtract then you get the answer

Change 2.33 to a simplified fraction. Round to the nearest hundredth.

Answers

Answer: 233.00

Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:

Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1

Answers

According to it's asymptotes, the function represented by the graph is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

The vertical asympotes of a function f(x) is the points which are outside the function domain.

In a fraction, they are given by the zeroes of the denominator.

In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.

The horizontal asymptotes are the values of the function as x goes to infinity.

In this problem, they are given by:

[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]

Hence, the option that satisfies it is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.

I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.

Group of answer choices

f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x

Answers

Answer:

f(x)=125k(1.05)x

Step-by-step explanation:

ommg

ok so every year it increase by 5%, aka 105%

which is 125k*105/100x which is the first one f(x)=125k(1.05)x

if u are not sure than use cross of elinimation

cant be 2nd one cause its not correct

third one ur decreasing

fourth one is just like the 2nd one

can someone plz explain and gimme the answer...

Answers

Answer:

The choice two

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {5}^{2} = {c}^{2} \\ 25 + 25 = {c}^{2} \\ 50 = {c}^{2} \\ c = 5 \sqrt{2} [/tex]

Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20

Answers

100.80 that’s how much he received

Please help me out

Fill in the blanks for this graph

1. This graph crosses the y-axis at______

2. The graph increases in the interval_____

3. The graph decreases in the interval____

Answers

Answer:

1 -5

don't know the answer of q2 and q3

the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased​

Answers

Answer:

The number of students would have increased by 25%.

Step-by-step explanation:

Answer:

25% more

Step-by-step explanation:

640  100

800   x

---------------

cross-multiplication = 100*800 = 80000/640 = 125

What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31

Answers

Answer:

A

Step-by-step explanation:

Substitute n = 9 into the nth term rule

A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A

Evaluate (35 = x)
2 when x = 7
O A. 3
O B. 7
O c. 5
O D. 26
I will give brainiest points

Answers

Answer:

the answer : a

equation : 35 = x

35 = 7

35/7 = 5

5-2 = 3

Hey there!

(35 ÷ x) - 2

= (35 ÷ 7) - 2

= (5) - 2

= 5 - 2

= 3

Therefore, your answer is: Option A. 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0​

Answers

Answer:

[tex]\boxed{\sf\: B)\:3^{12}}[/tex]

Step-by-step explanation:

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]

Apply exponent rule:

[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]

Add the numbers:

[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]

________________________________

PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:

Step-by-step explanation:

Solve with elimination:
-2x - 4y = 8
-6x +24 = 12y

Answers

Ohh, Elimination Im doing that XD So its

Anwser - No Solution

Max can run 10 miles in 2 hours. At this rate, how long will it take him to run 25 miles

Answers

Answer:

Step-by-step explanation: 10 miles per 2 hours is the First step. Knowing this helps a lot. Next you need to understand your solving for 25 miles. 10 goes into 25 2.5 times. This means you need to multiply the time by 2.5 as well. That would be 5 hours.

Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?

a) 100 km
b) 150 km
c) 200 km
d) 250 km

Answers

From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.

From the complete information, we are told that on the map of Indiana, 1cm = 50km.

Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:

= 3 × 50 = 150km

Learn more about distance on:

https://brainly.com/question/2166162

Answer:

if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6

then here are the correct answers

Step-by-step explanation:

1. B. 150 km

2. A. 300 km

3. D. 7.5 cm

4. B. 30 yd ^ 2

5. A. 90 x 45

i hope this helps please coment if you can! = ) <3

help i dont know how to do this !!!!!!!!!!!! for brainlist

Answers

Answer:

We can simplify everything to the power of 2:

[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]

[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]

As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:

3x+6=4x+4

solve for x

x=2

D (last answer choice)

plug x=2 in and check and you will get 4096=4096

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

i think its b

Step-by-step explanation:

simplify. rewrite the expression in the form 5^n

(5^-8) (5^-10)

Answers

Answer:

5^-18 or 1/(5^18)

Step-by-step explanation:

(5^-8) (5^-10)

= 5^(-8 + -10)

= 5^-18

or 1/(5^18)

Sketch the graph of f(x) = 1/2x + 5

Answers

Rise over run in this case is 1/2 so for every 1 it goes up it goes 2 across

The y intercept here is 5

The graph is in the image.

What is the value of the expression below?

(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4

Answers

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.

Answers

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

     

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?

Answers

Off topic, I like your username :] good luck with whomever answers though <33

“ Use what you know about function notation to complete the statements “ PLS HELPP

Answers

Step-by-step explanation:

I don't know the options to pick from.

the 2 main possibilities coming to my mind are

y = f(x)

or

(x, f(x)) or (x, y)

there is no specific function coming to mind. the functional values bounce around above and below the x-axis (positive and negative y-values) with not detectable pattern related to the x values.

the other 2 questions can be found directly in the table :

f(3) means f(x) with x=3, and that is -2

and f(x) = -5 is true, when x = 4

How many hours is 7:45 to 1:00

Answers

Step-by-step explanation:

There are 17 hours between 7:45 to 1:00

Find the quotion 19.00/
16

Answers

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax

Answers

$25.50

step by step explanation: 15% means u can multiply it by .85

so .85x25
= $21.25

the next step is to find the tip

to do this you do

$21.25+ (21.25x .2)

final: $25.50

hope this helps

Answer:

$25.50

Step-by-step explanation:

with a 15% off coupon she is paying 85% of the $25 bill, which is:

.85 x 25 = 21.25

if she adds a 20% tip on 21.25 then we can do the following:

1.2 x 21.25 to get the total after the discount and with tax:

$25.50

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