g(x)=x²+5
.
Find g(a+1)-g(a-1)​

Answers

Answer 1

Answer:

g(a + 1) - g(a - 1) = 4a

Step-by-step explanation:

g(x) = x^2 + 5,

when x = a+1, g(a+1) = (a+1)^2 + 5.

when x = a-1, g(a-1) = (a-1)^2 +5.

g(a+1)-g(a-1) = (a+1)^2 + 5 - [(a-1)^2 + 5]

= a^2 + 2a + 1 + 5 - [a^2 - 2a + 1 + 5]

= 4a


Related Questions

Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciate it.

Answers

Answer:

222

Step-by-step explanation:

What I did was calculate the area of each sides of the triangular prism.

For the two triangles:

1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)

For the 2 rectangles:

5x12=60 x2 = 120

For the base:

6x12=72

Add all them together we get 222

how to what.nnnnkkadjkdjdadljadjldjlkajlljklk

Answers

Answer:

??

Step-by-step explanation:

For the function f(x) = -12x^2 + 6x - 8 find the equation of the tangent line at x= -1

Answers

Let, f(x) = y = -12x^2+6x-8

Substitute x = -1 in f(x) we get y = -26

y = -12x^2+6x-8

Differentiate ‘y’ w.r.t ‘x’ we get

dy/dx = -24x+6

By putting value of ‘x’ we get

dy/dx = 30

Slope(m)=dy/dx = 30

Equation of tangent => (y - y1)=m(x - x1)

Here, x1= -1 and y1 = -26 and m = 30

So, (y - (-26)) =30(x - (-1))

y+26=30(x+1)

y+26=30x+30

30x - y + 4 =0 is the equation of tangent at x = -1

Answer:

y=30x+4

Step-by-step explanation:

Does this graph represent a function? Why or why not?

Answers

A. Yes because it passes the vertical line test
yes bc it passes the vertical test

A school cafeteria wants to survey a random sample of 50 students about the quality of food. During one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. Which of the following statements is true about this sample?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B EDGE

Step-by-step explanation:

Phil's average is 0.250. This is about 5/6 as much as Joe's average. What is Joe's average? (Write answer is decimal form - do not round).

Answers

Let Joes average = x

Phil’s average is 0.250 and is 5/6X ( 5/6 of Joe’s)

5/6x = 0.250

Solve for x by dividing both sides by 5/6. When dividing by a fraction, flip the fraction over and multiply;

X = 0.250 x 6/5 = (0.250 x 6)/5 = 1.5/5 = 0.30

Joes average is 0.3

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

[tex] \large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}[/tex]

Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.

[tex] \large{ \tt{❃ \: FIRST \: METHOD }} : [/tex]

This method is related to the unitary method. Let's start :

We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.

We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.

[tex] \large{ \tt{❃ \: SECOND \: METHOD}} : [/tex]

This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :

Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ]

Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.

Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :

[tex] \large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}} [/tex]

[tex] \large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}[/tex]

[tex] \large{ \tt{↦x = \$ \: 583.3125}}[/tex]

Hence , She earned $ 583.3125 .

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

If a randomly selected customer was satisfied with his/her meal, what is the probability that the customer ordered fish

Answers

Answer:

87.5%

Step-by-step explanation:

Complete question  -

75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?

Solution

Given

People who order fish at the Doug's Diner  = 75%

Out of this 75%, 90% also order  fries which means that nearly 67.5% ordered fries with the fish.

Given that, 80% of people dining at Doug's Diner order fries

Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%

The probability of customers who ordered fish = 100 - 12.5% = 87.5%

find the polynomial of minimum degree, with real coefficients, zeros at x=-4+1i and x=8, and y intercept at -408

Answers

Answer:

(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i

y=x^2-(4+i)x-32+8i

Check:

D=16+8i-1+128-32i=143-24

Which of the following equations has the solution set {0}?

-14m - 7m + 1 = -7m + 1
-14m + 7m + 1 = -7m + 2
14m - 7m - 1 = -7m + 1

Answers

Answer:

the first one

-14m - 7m + 1 = - 7m + 1

Write a function to describe the following scenario.
A taxi driver charges a $5 flat fee to
enter the car and $0.50 per mile.
What is the total cost of a taxi ride?
y = [?]x + [?]

Answers

Answer:

y = $0.50x + $5. $7 if you went 4 miles

Step-by-step explanation:

$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.

[tex]y=0.50x+5[/tex]

I used x = 4 for the number of miles travelled.

[tex]y=0.50(4)+5[/tex]

[tex]y=2+5[/tex]

[tex]y=[/tex] $7 total cost

In ABC, c=66,m∠A=3230', and m∠C=11140'. Find the length of side a to the nearest tenth.

Answers

y
=

2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:

2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0

Select the correct answer.
What is the factored form of this expression?
x² - 12x+36
A. (x-12)(x-3)
в. (х- 6)^2
C (x-6)(x+6)
D. (x+6)^2

Answers

The correct answer to this question is B.. (x-6)(x-6)=X^2-12x+36. I hope is helped :)

Answer to the question

Answers

Answer:

x = 48.

Step-by-step explanation:

AE and EC are equivalent. Subtract 9 from 921, and divide by 19 to get the value of x, which is 48.

graph the function g(x)=-4x-1

Answers

here is the answer

mark me in the brainlist

thanks

Anyone knows the answer ??

Answers

Answer:

Hello! answer: 17

Step-by-step explanation:

15 × 15 = 225

8 × 8 = 64

225 + 64 = 289

√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!

Answer:

17

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]8^{2} + 15^{2} = c^{2}[/tex]

289 = [tex]c^{2}[/tex]

square root both sides

c = 17

which of the following is not a pythagorean triple?

Answers

Answer:

A

Step-by-step explanation:

7^2+8^2 does NOT equal 9^2

A. (7,8,9)


Did the test just now.

Match the system of linear equations, to its graph.

Answers

Answer:

The answer is the second graph, Option 2

Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the number of dimes,x, and the number of quarters,y, that Nathaniel has.
Determine three ways to have 6 more dimes than quarters:

Answers

Answer:

10 dimes and 4 quarters

Step-by-step explanation:

Number of dimes = d, each d = 10 cNumber of quarters = q, each q = 25 cTotal = $2 = 200 c

Equations according the given:

10d + 25q = 200d = q + 6

Solve for q by substitution:

10(q + 6) + 25q = 20010q + 60 + 25q = 20035q = 140q = 140/35q = 4

Find the value of d:

d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

(1.00)^365

What type of math problem is this and how to explain it, please?

Answers

Step-by-step explanation:

(1.00)³⁶⁵

=1

1 power any natural number is 1

Answer:

1

Step-by-step explanation:

(1.00)^365

it means to multiply (1 .00) 365 times

You buy a used car for $9,000. The car depreciates 9% per year. Find the value of the
car after 10 years.

Answers

Answer:

$19,000.

Step-by-step explanation:

#hopeithelpsbrainliest me.

Please show work for BRAINLIEST

Answers

Answer:

the anser is 54 cm square (30+15+9)

Answer:

it area is 54 cm square

Step-by-step explanation:

first point it's divide in three part . it's first is up side 3 by 3 . it's second part is middle side 3 by 5. it's third part is down side 10 by 3.then a

if m=17 and b=6,find m

Answers

Answer:

M) = 17

Step-by-step explanation:

You stated the answer right there. I think the question is missing more info but for now M=17

Simplify: ((x-5)3/2)^2/3
X-5
(x - 5)^2
(x – 5^)3

Answers

Answer:

x - 5

Step-by-step explanation:

[tex]((x - 5) {}^{ \frac{3}{2} } ) {}^{ \frac{2}{3} } [/tex]

[tex](x - 5) {}^{ \frac{3}{2} } { \times }^{ \frac{2}{3} } [/tex]

[tex](x - 5) {}^{ \frac{6}{6} } [/tex]

[tex](x - 5) {}^{1} [/tex]

Therefore x - 5

Answer:

option 1

Step-by-step explanation:

edge 2023

: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (​

Answers

Answer:

x = 6

m<1 = 20°

m<CFE = 140°

Step-by-step explanation:

m<1 = (3x + 2)°

m<2 = (5x - 10)°

✔️Given that FB bisects AFC, therefore,

m<1 = m<2

Substitute

3x + 2 = 5x - 10

Collect like terms and solve for x

3x - 5x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6

✔️m<1 = 3x + 2

Plug in the value of x

m<1 = 3(6) + 2

m<1 = 18 + 2

m<1 = 20°

✔️m<CFE = 180° - m<AFC (angles on a straight line)

m<CFE = 180° - (m<1 + m<2)

m<CFE = 180° - (20 + 20)

m<CFE = 180° - 40°

m<CFE = 140°

Need help solving for x, look at image above

Answers

Answer:

x = 1.2

Step-by-step explanation:

We can use a ratio to solve since they are similar triangles

6        (6+4)

----- = ---------

x             2

Using cross products

6*2 = (6+4)*x

12 = 10x

Divide by 10

12/10 = x

1.2 =x

Hope this help!!!

Have a nice day!!!

which integer is 3 less then -7

Answers

Answer:

-10

Step-by-step explanation:

you did not have to come on here for this annswer could have subtracted -7-3=-10

Answer:

Step-by-step explanation:

Any question that has less in it, is a question that you should pay attention to.

-7 -3 = - 10

You have to think of this the way you would money. Which would you rather owe - 7 dollars or - 10 dollars. Surely you would say that - 7 is better than - 10.

So - 10 looks like it is  three less than - 7

It works if the money thing makes sense to you.

If that doesn't work then think of a number line. As you keep on going left, the number looks like it is getting bigger, but is it. Again - 10 is smaller than - 7.

If you are talking about plus numbers then 3 less then 7 is not 10. It is 4.

A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble

Answers

Answer:  8/31

===================================================

Explanation:

16/31 represents the probability of picking a white marble

This is because there are 16 white out of 15+16 = 31 total.

---------

After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.

Multiply those two fractions:

(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31

which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).

Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 511 human resource​ professionals, each was asked about the importance of the age of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
a) it is flawed because it is a census.
b) it is flawed because it is not statistically significant.
c) it appears to be sound because the data are not biased in anyway.
d) it is flawed because it is a voluntary response sample.

Answers

Answer:

c) it appears to be sound because the data are not biased in anyway.

Step-by-step explanation:

From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.

Item 18
A florist has 1,276 flowers to divide into bunches of 9 flowers. The florist makes as many bunches as possible.

How many bunches of flowers does the florist make, and how many flowers are left over?

Enter your answers in the boxes.

The florist can make
bunches with
flowers left over.

Answers

Answer:

141 bunches, 7 flowers left

Step-by-step explanation:

Number of bunches of flowers that can the florist make is 23 flowers

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, we have,

If 60% of the flowers in a bunch are lilies,

then there are 40 x 0.6 = 24 lilies in each bunch.

That means there are 40 - 24 = 16 roses and carnations in each bunch.

The ratio of carnations to roses = 3 : 5

Let's call the number of carnations in each bunch "3x" and the number of roses in each bunch "5x". That means

3x + 5x = 16 (the total number of carnations and roses)

8x = 16

x = 2

So there are 3 x 2 = 6 carnations in each bunch.

If the florist has only 140 carnations, they can make 140 / 6 = 23.333... bunches of flowers. However, since they can't make a fraction of a bunch, the florist can only make 23 bunches of flowers.

Learn more about ratio here

brainly.com/question/1267581

#SPJ3

complete question:

A florist is making some bunches of flowers for a wedding. Each bunch contains some carnations, roses, and lilies. Each bunch is the same. - A bunch contains 40 flowers -60% of the flowers are lilies The ratio of carnations to roses is 3:5 The florist only has 140 carnations. How many bunches of flowers can the florist make?​

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