Answer:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 8 - x^2[/tex]
Required
Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]
First, we calculate f(x + h)
[tex]f(x) = 8 - x^2[/tex]
[tex]f(x+h) = 8 - (x+h)^2[/tex]
[tex]f(x+h) =8- x^2-2xh-h^2[/tex]
So, we have:
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
At least 3 units away from negative 1 (plot point)
Answer:
Positive 2 or Negative 4
Step-by-step explanation:
If this is on a number line
Analyze the diagram below and complete the instructions to follow.
Find a, b and c
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
tell me you love me pls i need sum luv i spent a lot of time doing this
Answer:
yea we all love you $^)
some will deny it but don't believe that. lolll
What kind of sequence is this?
161, 161, 161, 161, ...
arithmetic
geometric
both
neither
Answer:
arithmetic sequence
is my answer
What is the absolute value of the difference of the square of the cube of 2 and the cube of the square of 2?
Answer:
zero, would be the same
Step-by-step explanation:
(cube of 2)^2=(2x2x2)^2=8^2=64
cube of 2^2=4x4x4=64
difference would be 0
Rachel has a 4-liter jug of water. She uses it to fiI| 3 small vases each with 900 mL of water. How much water does Rachel use to fill the vases? How much water is left in the jug? Show your work. (1 liter = 1,000 milliliters)
Answer:
Step-by-step explanation:
4 * 1000 = 4000. 4000/900 = 4.4. 4.4 - 3 = 1.4. 900*1.4 = 1260. 1260 mil of water is left. Rachel used 2700 mil to fill the vases.
After solving the expression, the amount of water left in the jug will be equal to 1.3 liters.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
The total amount of water = 4 liters
1 liter = 1000 milliliters then,
4 liters = 4000 milliliters.
3 small vases of 900 ml used the water.
Then, total water used = 3 × 900 = 2700 mL
Amount of water left = 4000 - 2700 = 1300 mL.
Then, water left in the jug will be,
x = (1300 × 4)/4000
x = 1.3 L
To know more about arithmetic operations:
https://brainly.com/question/13585407
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Select the smaller of the two given numbers.
-|19|, -|12|
Answer:
-|12|
Step-by-step explanation:
|19| is 19, -|19| is -19
|12| is 12, -|12| is -12
-12>-19
) Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question.
i need help plzzz an could you show your work thanks love
Answer:
how to make change for 50 cent.
Step-by-step explanation:
1. 3 dimes and 4 nickels
3 x 10 = 30. 4 x 5 = 20.
30 + 20 = 50
2. 2 quarters
25 + 25 = 50
3. 1 quarter and 2 dimes and 1 nickel
25 + 20 + 5 = 50
4. 5 nickels and 1 quarter
5 + 5 + 5 + 5 +5 + 25
Check all the answers that are more precise than a weight of 200 grams.
A. 1,000 grams
B. 208 grams
C. 180 grams
D. 480 grams
Answer:
amigo mío la respuesta es la letra B
Answer:
no
Step-by-step explanation
learn english
what is the range and domain of the function {(2,5),(8,3),(1,5),(7,9)}
Answer:
In general for a point we have (in, out)
The domain is the set of all the 'in's and the range is the set of all the 'out's
Domain: {2, 8, 1, 7} or {1, 2, 7, 8} in order
Range: {5, 3, 9} or {3, 5, 9}
Sets do not contain duplicates so 5 appears only once.
3x - 4 = -2x +3 what is x
Answer:
3x - 4 = -2x + 3
3x + 2x = 3 + 4
5x = 7
x = 5/7
Step-by-step explanation:
1. move the same term to one side
2. the rest are simply solving equation
NEED HELP!
How to find
x =76° is the answer
Step-by-step explanation:
because being alternate angle.
Answer:
Measure the line of x only from scale and how much it came its the answer
Step-by-step explanation:
X+76=180
x=180-76
Therefore,x=104.
Hope it will help you be happy!
The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform the augmented matrix to reduced echelon form, and then find all solutions to the corresponding system. (If there are an infinite number of solutions use s1 as your parameter. If there is no solution, enter NO SOLUTION.)
[9 -2 0 -4 8]
[0 7 -1 -1 9]
[8 12 -6 5 -2]
(x1, x2, x3, x4)=_______
Answer:
[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]
Step-by-step explanation:
As the given Augmented matrix is
[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]
Step 1 :
[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]
Step 2 :
[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]
Step 3 :
[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]
Step 4 :
[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]
Step 5 :
[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]
Step 6 :
[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]
∴ we get
[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]
What scale factor do you use to make
A 5mm object 100mm ?
Answer:
Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala
Jose has 7 mangoes. He wants give then to his 10 friends. How much can each friend get? *
Answer:
it would be 7 divided by 10, so .7 i think?
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
7/10 bc if there are 7 mangos and 10 friends then 10 (the number of friends ) is the amout in all and 7 (the amout of mangos ) is the fraction of the whole that willl be passed out
What is the difference?
5x/x-2 - X+4/2x
Answer: 9x^2-2x+8/2x(x-2)
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Pls answer The Following Question
Answer:
15.
a)
i)43/9= 4 7/9
ii)17/4= 4 1/4
b)
i)3 9/11= 42/11 - 11 times 3=33, 33+9=42
ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66
On monday, Maggie ran n miles. On tuesday, she ran 90% of the number of miles that she ran on Monday. On wednesday,she ran 50% of the miles that she ran on Tuesday
Answer:
+ 0.5 then 1.5 n
Step-by-step explanation:
Solve for x.
(8x-3)
(16x - 33)
Answer:
i might not be correct but 33?
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
trust me i just did it. it was very hard but i got it.
Plz help... picture will be provided.
Parallel lines r and s are cut by two transversal, parallel lines t and u
How many angles are alternate interior angles with angle 9.
Answer:
2
Step-by-step explanation:
Its quite obvious
Let f(x) = 4x - 1, h(x) = - X-3.
Find (f o h)(-5).
Answer:
(f o h)(-5)=-33
Step-by-step explanation:
Let f(x) = 4x - 1, h(x) = - X-3.
(f o h)=4(-x-3)-1
(f o h)=-4x-12-1
(f o h)=-4x-13
(f o h)(-5)=-4(-(-5))-13
(f o h)(-5)=-20-13
(f o h)(-5)=-33
Approximate which two integers 30 is
between.
Answer:
29 and 31
Step-by-step explanation:
What integer is -1 away from 30? 29. What integer is +1 away from 30? 31. 29 and 31
9/4 divided by 3/4 =
A ball is kicked straight up into the air from a height of 48ft with an initial velocity of 88 ft/s. After how many seconds does the ball hit the ground? PLZzzzzz HELP ME
It would take 0.5 seconds for the ball to hit the ground.
Newton lawTo solve this problem, we are to use one of newton equations. Let us use:
s = ut + (1/2)gt²
Where u is the initial velocity = 88 ft/s, s is the height = 48 feet and g is the acceleration due to gravity = 32 ft/s²
Hence:
48 = 88t + 0.5*32*t²
16t² + 88t - 48 = 0
t = -6 or 0.5
Since the time cannot be negative, hence t = 0.5 seconds
It would take 0.5 seconds for the ball to hit the ground.
Find out more on Newton law at: https://brainly.com/question/25545050
4. Eddie drops a heavy book onto the floor. What does the energy of the book turn into when the book hits the floor?
O radiant energy
sound and heat energy
potential energy
O kinetic energy
Answer:
Heat and sound energy
Step-by-step explanation:
It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.
Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedWhat is the answer to 5m-2=-12
Answer:
m = -2
Step-by-step explanation:
5m - 2 = -12
Isolate m.
5m = -12 + 2
5m = -10
m = -10/5
m = -2
: mario ate 4 hot dogs. 1 of them had mustard on it and the rest were plain. what fraction of Marios hot dogs were plain? write an equivalent fraction for this amount..
I will make brainliest for whoever helps
Answer:
s [tex]\leq[/tex] 14
Step-by-step explanation:
divide both sides by 7
Answer: For the first part, the answers are 4, 9, 11, 13, and 14. I have no idea how to do the 2nd part though. Sorry.
Step-by-step explanation: Divide 98 by 7. This gives you 14. However, s can be equal to or less than 14, giving you multiple answers which are 4, 9, 11, 13, and 14. Hopefully this helps.
Math nerds help me out
Answer:
the 3rd one
y= (x-1)(x-6)
Step-by-step explanation:
Answer:
y=(x-1)(x-6)
Step-by-step explanation:
from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6
it crosses the x axes on the roots, which happens at 1 and 6 on the graph