Determine
f(a + h) - f(a)
for f(x) = 1 - x2 and simplify.

Answers

Answer 1

Answer:

h^2+2ah

Step-by-step explanation:

When f(x) = 1-x^2

f(a) = 1 - a^2

f(a+h) = 1 - (a+h)^2

= 1 - a^2 + 2ah + h^2

Subtracting the two:

f(a+h) - f(a)

= (1 - a^2 + 2ah + h^2) - (1-a^2)

= 1 - 1 - a^2 + a^2 + 2ah + h^2

= 2ah + h^2

= h^2 + 2ah

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D


Related Questions

1² x 1/4m² x (-6)ml find the product

Answers

[tex]\\ \sf\longmapsto 1^2\times \dfrac{1}{4}m^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2\times -6m[/tex]

[tex]\\ \sf\longmapsto \dfrac{-6}{4}m^3[/tex]

[tex]\\ \sf\longmapsto \dfrac{-3}{2}m^3[/tex]

7/8 divided by 2 1/4

Answers

Answer:

7/18

Step-by-step explanation:

The answer should be 7/18!

(HELP NEEDED ASAP) What is the force needed to accelerate that same object to 7 m/s2? The unit of force is N (Newtons)

Answers

Answer:

20N

Step-by-step explanation:

Does the graph represent a function? Why or why not? ​

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Can i get braineist pls

Helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

m = - 1

Step-by-step explanation:

9m + 13 = 4

subtract 13 from both sides

9m = 4 - 13

9m = - 9

divide both sides by 9

m = - 1  (negative 1)

Multiply the factors by FOIL technique and write the answer in Standard Form (y=ax^2+bx+c): y=(2x+3)(x-3) *

Answers

Answer:

2x^2 - 3x - 9

Step-by-step explanation:

y=(2x+3)(x-3)

Multiply using FOIL

2x × x

2x × -3

3 × x

3 × -3

2x^2 - 6x + 3x - 9

Combine like terms

2x^2 - 3x - 9

Here’s another one.. so sorry if this confused you..

(Also I got this question wrong..)

Answers

Answer:

hmmm did you try 14?

It’s prob 13,


I dunno.. I keep thinking since it has the eighth meaning 8. Do 20-8=13

Genie is making cookies and brownies. Each cookie uses 8 grams of flour and each brownie uses 12 grams of flour. She wants to make more than 125 cookies and brownies altogether. If Genie has a total of 2,000 grams of flour, which system of inequalities models correctly the number of cookies, c, and brownies, b, she can make? ) C+b> 125 A) 8c + 12b s 2000 c+b2 125 8c + 12b s 2000 B) c+b< 125 C) 8c + 12b s 2000 c+bs 125 D) 8c + 12b s 2000

Answers

The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Find out more at: https://brainly.com/question/15137133?referrer=searchResults

A quadratic function y = f(x) is plotted on a graph and the vertex of
the resulting parabola is (3, -5). What is the vertex of the function
defined as g(x) = f(-x) + 3?

Answers

Answer:

the vertex is (0,3)

Step-by-step explanation:

using vertex form: y=a(x-h)^2+k    you can find the vertex

h: the horizontal <----------->

and

k: the vertical       |      

so, there is no h, but there is a k, which is 3, so the answer is (0,3) I believe

                       

Pick the odd one out. A) 8÷4×2 B) 5×1−1 C) 3×3−5 D) 3×2+1

Answers

Answer:

D

Step-by-step explanation:

cause 8÷4 =2 and ×2 =4

5x1=5-1=4

3×3=9-5=4

3×2=6-1=5

The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5

What is the value of 2/3(x-6)-Y when x = 9 and y = 5/6?

Answers

Replace x and y with the given values:

2/3(9-6) - 5/6

Simplify:

2/3(3) - 5/6

Multiply:

2 - 5/6

Subtract:

1 1/6

Answer 1 and 1/6

The required simplified value of 2/3(x-6)-Y when x = 9 and y = 5/6 is 7/6.

To find the value, substitute the given values of x and y into the expression:

2/3(x - 6) - y

= 2/3(9 - 6) - 5/6

= 2/3(3) - 5/6

= 2 - 5/6

To subtract fractions, you need a common denominator:

= 12/6 - 5/6

= 7/6

Therefore, the simplified value of 2/3(x-6)-Y when x = 9 and y = 5/6 is 7/6.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ6

PLEASE HELP!!!

5. Which combination of segment lengths
can be used to construct a triangle?
A. 8 cm, 12 cm, 24 cm
B. 15 cm, 38 cm, 49 cm
C. 34 cm, 63 cm, 97 cm
D. 50 cm, 55 cm, 136 cm

Answers

Answer:

c

Step-by-step explanation:

z-16z=15 what is z please

Answers

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

please help with number 3 & 4 PLEASE !! will mark BRAINLIEST

Answers

Answer:

3 is -15/2 and 4 is -3/2

Step-by-step explanation:

If im not mistaken these are the awansers

THE DIMENSIONS OF A CUBED ARE 4X C.M,6X C.M AND 10X C.M
A.FIND THE THE TOTAL SURFACE AREA
B.FIND THE VOLUME​

Answers

Answer:

A. 248 square CM

B. 240 cubic CM

Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
Two of the faces have an area of 30 ft2.
There is only one face with an area of 48 ft2.
Two of the faces have an area of 40 ft2.
The front face has an area of 30 ft2.
The top face has an area of 40 ft2.

Answers

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

Answer: A, C, D

Step-by-step explanation:

Algebra one please help

Answers

Answer: a

Step-by-step explanation: In the picture

please give me a brainliest answer

Step-by-step explanation:

just look at the graph and check the typical "special" points.

e.g. when x = 0, and when y = 0, and maybe (depending on the curve) some other interesting ones.

so, what does the graph tell for x = 0 ?

it says y = 5.

that rules out C and D, because they would deliver y = 1/5 for x = 0.

so, it can only be A or B.

now, what does the graph tell us for y = 0 ?

ok, it tells us, x = 1.

that does not help us in this case, as both, A and B deliver y = 0 for x = 1

so, let's look at another good point. good points are points, where we can see pretty precisely their coordinates on the chart, and where these coordinates are even integer numbers.

I see e.g.

x = 2, and y = -5

let's try A

-5 = -5 × cubic root(2 - 1) = -5 × cubic root (1) = -5×1 = -5

so, -5 = -5, that is correct.

let's verify by checking also B

-5 = 5 × cubic root (1 - 2) = 5 × cubic root (-1) = 5×-1 = -5

-5 = -5, again, this is correct.

hmmmmm.

when we think about it, in fact, A and B are the same function (by the way, C and D are equal to each other too).

either your teacher made a mistake or tried to trick you.

A and B are both the right answer.

why ?

A (I only write "cr" for cubic root now)

y = -5 × cr(x - 1) = 5 × -1 × cr(x - 1) = 5 × cr((-1)³(x - 1)) =

= 5 × cr(-1 × (x - 1)) = 5 × cr(x×-1 - 1×-1) = 5 × cr(1 - x) = B

so, A and B are actually equal.

hello can anyone help with this?

The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?

Answers

50/1 =80/x
50x=80
Divide both sides of the equal sign by 50 to get variable by itself
x= 1.6
Your answer is 1.6 of an hour for the journey

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins

Which equations describes a line that has a y-intercept of 4 and a slope of 3?

Answers

Hello there!

If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:

[tex]y=3x+4[/tex]

Hope this helps you! Mark Brainliest, please! :)

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

y = 3x + 4

Step-by-step explanation:

Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?

0.025
0.0015
0.16
0.475

Answers

Answer: Choice B)  0.0015

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

Explanation:

mu = 65 = population meansigma = 4 = population standard deviation

Let's convert x = 53 to its corresponding z score

z = (x-mu)/sigma

z = (53-65)/4

z = -12/4

z = -3

This indicates we're 3 standard deviations below the mean.

Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.

(0.3%)/2 = 0.15%

This then converts to 0.0015 when we move the decimal point 2 spots to the left.

What is the x and y intercept of 2.5x+8y=240 please show your work.

Answers

Answer:

The x and y intercept are (96,30)

Step-by-step explanation:

8y=240-2.5x

y=240/8-2.5x/8

y=30-0.3125x

The y intercept=30

The x intercept=96 thus 30=0.3125x,x=30/0.3125

5.32×10^5 solve it please need it by 12:00​

Answers

Answer:

532,000

Step-by-step explanation:

10^5= 100,000

100,000 x 5.32

Move the decimal place 5 spaces to the right.

It gives you 532,000

Answer:

532000

Step-by-step explanation:

5.32 × 10^5 =

532/100 × 100000 =

133/25 × 100000 =

532000

Find the length of the third side. If necessary, round your the nearest tenth.

Answers

Answer:

24

Step-by-step explanation:

Use Pythagorean theorem,

base² + altitude² = hypotenuse²

7² + altitude²  = 25²

      altitude²  = 25² - 7²

                       = 625 - 49

                       = 576

altitude = √576

altitude = 24

>> Answer

_________

[tex] \: [/tex]

b² = c² - a²

b² = 25² - 7²

b² = 625 - 49

b² = 576

b = √576

b = 24

What is 1/8 of 3? When i look it up it says to many different answers.

Answers

Answer:

3÷8=0.375

Step-by-step explanation:

1/8 of a number can be found by dividing the number by 8.

Answer:

0.375

Step-by-step explanation:

If you divide 3 into 8 diffrent pieces you get 0.375 and to prove it 0.375 x 8 = 3.

100 lamps have been prepared for a function. 3 litres of oil
were required to fill all these lamps completely. Estimate
the capacity of a lamp.

Answers

300 liters of oil is needed to fill the lamps

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

100- 58.90 is equal to what

Answers

Answer:

41.1

Step-by-step explanation:

use calculator

100- 58.90 is equal to 41.10

Evaluate the expression when a = -3 and c=4. a-3c​

Answers

Answer:

Step-by-step explanation:

c=1/4(A-3c)

4c = A-3c

7c = A

c = A/7

-3-3(4)
-3-12=-15

Answer: -15


Hope this helps!

Please someone help meee
asap
Please I need help

Answers

HEY MATE HERE

NO THEY ARE NOT

YOUR ANSWER IS FALSE 1ST ONE

LOVE FROM INDIA HAVE A GREAT FUTURE

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The terms 3x²y and -5xy² aren't like terms,

So, the Correct choice is :

[tex] \huge \mathrm{false}[/tex]

65
(3y +2)
I NEEDDDD HELPPPPPPPPPPPPP

Answers

Answer:

195y+130

Step-by-step explanation:

Answer:

= 195y + 130

Step-by-step explanation:

Apply the distributive law  a(b + c) =ab + ac

[tex]65\left(3y+2\right)=65\cdot \:3y+65\cdot \:2\\=65\cdot \:3y+65\cdot \:2[/tex]

Simplify:

[tex]65*3y+65*2\\195y+130[/tex]

Take some time but answer correctly

Answers

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

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