Answer:
a) -4
b)
x h [f(x+h) - f(x)] / h
3 2 -4
3 1 -4
3 0.1 -4
3 0.01 -4
Step-by-step explanation:
a) The difference quotient is:
[f(x+h) - f(x)] / h
Our function is -4x + 7, then:
f(x+h) = -4(x+h) + 7 = -4x -4h + 7
f(x) = -4x + 7
f(x+h) - f(x) = -4x -4h + 7 - (-4x + 7 )= -4x -4h + 7 +4x - 7 = -4h
Finally:
[f(x+h) - f(x)] / h = -4h/h = -4
b)
First point in the table:
x = 3
h = 2
f(x+h) = -4(3+2) + 7 = -13
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -13 -(-5) = -8
[f(x+h) - f(x)] / h = -8 / 2 = -4
Second point in the table:
x = 3
h = 1
f(x+h) = -4(3+1) + 7 = -9
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -9 -(-5) = -4
[f(x+h) - f(x)] / h = -4 / 1 = -4
Third point in the table:
x = 3
h = 0.1
f(x+h) = -4(3+0.1) + 7 = -5.4
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -5.4 -(-5) = -0.4
[f(x+h) - f(x)] / h = -0.4 / 0.1 = -4
Fourth point in the table:
x = 3
h = 0.01
f(x+h) = -4(3+0.01) + 7 = -5.04
f(x) = -4(3) + 7 = -5
f(x+h) - f(x) = -5.04 -(-5) = -0.04
[f(x+h) - f(x)] / h = -0.04 / 0.01 = -4
The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is
(x - 4)² + y² = 2√3
(x - 4)² + y² = 12
(x + 4)² + y² = 12
Answer:
B. (x - 4)² + y² = 12
Step-by-step explanation:
Rewrite in standard form to find the center (h,k) and radius r.
Answer:
B?
Step-by-step explanation:
Johnstone Rent-A-Car John has a fixed rate of $49 weekly pay is $14 per week for the optional insurance and he spends $12 weekly on gas but will is cost me per month
Answer:
49+14+12= 75
Step-by-step explanation:
Find the midpoint of the line segment with end coordinates of: ( 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.
Answer:
(2, 2.5)
Step-by-step explanation:
To find the midpoint, the middle point of a line segment
Add the x coordinates together and divide by 2
(1+3)/2 = 4/2 =2
Add the y coordinates together and divide by 2
(7-2)/2 = 5/2 =2.5
___________________________________
The right answer is (2,2.5)
please see theattachedpicture for full solution
Hope it helps
Good luck on your assignment
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Is 7 a factor of 56w - 7?
Answer:
yes it is
Step-by-step explanation:
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors that are prime.
Numbers we can multiply together to get another number.
Example: 2 and 3 are factors of 6, because 2 × 3 = 6
A number can have MANY factors!
Example: What are the factors of 12?
• 3 × 4 = 12, so 3 and 4 are factors of 12
• 2 × 6 = 12, so 2 and 6 are also factors of 12
• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well
So 1, 2, 3, 4, 6 and 12 are all factors of 12
And -1, -2, -3, -4, -6 and -12 also, because multiplying negatives makes a positive.
In Algebra, factors can be expressions like "x+3" etc
please mark brainliest :)
Answer:
56w-7 56/7= 8 -7/7=-1
Step-by-step explanation:
8w-1 answer here
What are the x-intercepts of the graph of the function below?
y= x^2+3x – 28
A. (7,0) and (4,0)
B. (-7,0) and (-4,0)
C. (7,0) and (-4,0)
D. (-7,0) and (4,0)
Can someone help me with 5?
Answer:
C
Step-by-step explanation:
"at least" is denoted by ≥. The amount of figures Carlos and Josh have can be represented by 5x + 4 and 3x + 14 respectively where x is the amount of figures in a set. We can write:
5x + 4 ≥ 3x + 14
2x ≥ 10
x ≥ 5
Which matrix represents the system of equations shown below?
8x-3y = 9
2x + 5y = -7
Answer:
The correct answer is D.
Step-by-step explanation:
hope it works out !!
Answer:
its A
Step-by-step explanation:
i just did it
Find the slope of the line that passes through the points A(-6, 2) and B(5, -1).
Answer:
-3/11
Step-by-step explanation:
The slope of the line is given by
m = (y2-y1)/(x2-x1)
= (-1-2)/(5--6)
= -3/(5+6)
= -3/11
Answer:
[tex]\frac{-3}{11}[/tex]
Step-by-step explanation:
You use the formula to solve:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m =\frac{-1-2}{5+6}\\m = \frac{-3}{11}[/tex]
If a point Cis inside ZAVB, then mŁAVC+
= MZAVB.
m ZAVB = 62°
A. MZCVB
B. MBVA
C. MZAVB
o
D. MZAVC
SUBMI
- PREVIOUS
Answer: A
Step-by-step explanation:
The missing angle is <CVB.
What is an Angle?An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.
An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner".
We have m < AVC = 39
and, m <VCB = 23
Thus, by adding the above angle we get the whole angle AVB.
Sp. m< AVB = m <AVC + <VCB
m <AVB = 23 + 39
m <AVB = 62
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What is the measure of DAB ?
Answer: I think it might be the angle in between D and B
Step-by-step explanation: My Explanation to this is:All triangles add to 180° so...Add all the angles in the triangle.
Find the amount missing to make an overall of 180 degrees.
85+33=118 degrees
We are currently missing angle which is 62 degrees.
How ever to find the second missing angle you will need this angle (62) specifically.
because it is on a straight line, take 62 away from 180 to get 118 degrees
the answer is 118 degrees hopefully this helped you
Answer:
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
∠DAB = ∠ABC + ∠ACB
= 85 + 33
∠DAB = 118°
Triangle G F H is rotated to form triangle G prime F prime H prime. Which type of transformation maps triangle GFH onto triangle G'F'H'? translation reflection rotation dilation
Answer:
Rotation
Step-by-step explanation:
The type of transformation maps triangle GFH onto triangle G'F'H' will be; Rotation.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs.
We are given that Triangle GFH is rotated to form triangle G prime F prime H prime.
Stretching:
Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]
Horizontal stretch by a factor k: [tex]y = f\left(\dfrac{x}{k}\right)[/tex]
The rotation transformation maps triangle GFH onto triangle G'F'H'
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The graphs of two exponential functions, fand g, are shown on the coordinate plane below.
y
4-
9
2
-2
2
2
If g(x) = f(x) + k, what is the value of k?
OA. 7
B.
6
C.
-6
D.
-7
｡☆✼★ ━━━━━━━━━━━━━━ ☾
As you can see, the graph has shifted upwards by 7 units
Thus, the correct option would be A. 7
Have A Nice Day ❤
Stay Brainly! ヅ
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A tree outside Ellie’s house cast of 125 foot shadow. At the same time of day, Ellie cast a 5.5 foot shadow. If Ellie is 4‘10“ tall, how tall is the tree in feet?
Answer:
The tall of the tree is about 109.85 feet
Step-by-step explanation:
- The tree and its shadow formed a right angle triangle with legs
x the tall of the tree and 125 feet the shadow of the tree
- Ellie and her shadow formed a right triangle with legs 4 feet and
10 inches the tall of Ellie and 5.5 feet the shadow of Ellie
- The two triangles are similar
- There is an equal ratio between the corresponding sides of the
similar triangles
∵ The tall of the tree is x
∵ The tall of Ellie is 4 feet and 10 inches
babyface17
∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet
∵ The shadow of the tree is 125 feet
∵ The shadow of Ellie is 5.5 feet
- By using similarity ratio
∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie
∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication
∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5
∴ x ≅ 109.85 feet
* The tall of the tree is about 109.85 feet
Answer:
109.85 ft
Step-by-step explanation:
5.5'/ 4'10"=125 ft/x
5.5*12/(4*12+10)=125/x
66/58=125/x
x=125*58/66
x=109.85 ft
here are the numbers of people in a restaurant on the first 15 days of july.
21, 30, 14, 23, 38, 46, 33, 23, 27, 12, 42, 48, 44, 36.
Show the data on an ordered stem and leaf diagram.
Answer:
Below is the stem and leaf diagram
The required stem-and-leaf diagram will be:
Stem Leaf
1 2 4
2 1 3 3 7
3 0 3 6 8
4 2 4 6 8
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
For instance, 53 may be written as
Stem Leaf
5 3
For the given data :
21, 30, 14, 23, 38, 46, 33, 23, 27, 12, 42, 48, 44, 36.
The above numbers of people in a restaurant on the first 15 days of July.
The required stem-and-leaf diagram will be:
Stem Leaf
1 2 4
2 1 3 3 7
3 0 3 6 8
4 2 4 6 8
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A small business takes out a loan for $14,000 at 7% simple interest over the course of 4 years. What is the monthly payment?
a)$291.67
b)$326.67
c)$373.33
d)$408.33
What is the length of the blue segment in OL below?
Answer:
c 3.95 that's what I think
Circular lawn has a row of bricks around the edge the radius of the lawn is about 20 feet which is the best estimate for the area of the grass in the long use 3.14 for pie select one 125 ft 125 square ft 1250 ft 1256 square feet
Answer:
Area of the grass in the circular lawn is 1256 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1256 square feet
Therefore, area of the grass in the circular lawn will be 1256 square feet.
Please help with number three and number seven
Answer:
Number three and seven are both A
Step-by-step explanation:
Answer:
3) c 7) d
Step-by-step explanation:
3) the little circle over top the -4 indicates it doesn't actually equal -4 but everything above it
7) when dividing all of the prices of the products by the weight the lowest number you get is $1.28 per pound of alfalfa.
Can someone pleaaase help its timed
Answer:
C. 48 cubic units
If you fill up the whole prism and it takes exactly 48 cubes then you did it correctly.
Step-by-step explanation:
To find the volume of a rectangular prism you have multiply the base by the height by the width.
So the volume is b*h*w = 8*2*3 = 48
C. 48 cubic units
Since 1 cube takes 1 unit that means it takes 48 cubes to fill up the whole thing.
If you fill up the whole prism and it takes exactly 48 cubes then you did it correctly.
PLZ HURRY ILL GIVE BRAINLIEST
Simplify. 6(5p^3 − 6p)
ALSO, HOW WAS YOUR DAY?
Answer:
p = {0, -1.095445115, 1.095445115}Step-by-step explanation:
Answer:
30p^3-36p. Also, my day was niceeeee.
Step-by-step explanation:
To simplify this, we have to use the distributive property. First, you do 6 times 5p^3, and then you get 30p^3. Then you do 6 times 6p, which gives you 36p. So, the final answer would be 30p^3-36p.
Diana works in a factory. She receives a salary of $8 per hour and piecework pay of 12
cents per unit produced. Last week she worked 38 hours and produced 755 units.
a. What was her piecework pay?
b. What was her total hourly pay for the week?
c. What was her total pay for the week?
d. What would her total weekly salary have been if she produced 0 units?
Answer:
A) $90.60
B)$304
C)$394.60
D)$304
Step-by-step explanation:A) If she makes 8 cents per product produced and she's produced 755, you multiply 755 times 8 and get 6,040. Place the tenths decimal and you get your answer.
B)She makes 8 an hour and works 38 hours, 38 multiplied by 8 equals $304.
C) Add the answers to both A and C and you get $394.6
D) Refer back to B
I know its summer and everyone done with school but someone help
Answer:
1.55
Step-by-step explanation:
3750+900 = 4650
4650/3000 = 1.55
Answer:
1.25
Step-by-step explanation:
A kayaker is paddling at a steady rate for 10 miles with the river current. She can only travel 4 miles against the current in the same amount of time. If the rate of the current is 8 miles per hour, what is the kayaker’s rate in still water (without the current)?
Answer: 18.66 miles per hour.
Step-by-step explanation:
The velocity of the Kayak can be written as the velocity of the kayak in still water plus the rate of the current.
If K is the velocity of the kajak, and C the velocity of the current, we have that:
When the kajak moves along with the current, for a given time T.
(K + C)*T = 10mi
when the kajak move against the current:
(K - C)*T = 4mi
now we can replace C by 8mph, and take the quotient of both equations:
((K + 8mph)*T)/(K - 8mph)*T)) = 10mi/4mi
(K + 8)/(K-8) = 10/4
K + 8 = (K- 8)*10/4
K + 8 = K*10/4 - 20
K*10/4 - K = K*6/4 = 20 + 8 = 28
K = 28*4/6 = 18.66
So the rate of the kajak is 18.66 miles per hour.
A fence is made from 32 identical pieces of wood, each of length 2 metres correct to nearest centimetre.
Calculate the lower bound for the total length of wood used to make this fence.
Write your answer in full calculator display.
200cm which has been rounded up to to the nearest cm meaning it could be 199.5cm. Then times it by 32.
199.5 x 32 = 6384cm
The length of a fence is required in centimeters.
The total length of wood used to make the fence is [tex]6400\ \text{cm}[/tex].
The number of pieces of wood for making the fence is 32.
The length of each piece of wood is 2 meters.
Converting meters to centimeters
[tex]1\ \text{m}=100\ \text{cm}[/tex]
[tex]2\ \text{m}=2\times100=200\ \text{cm}[/tex]
The entire length will be
[tex]32\times 200=6400\ \text{cm}[/tex]
So, the total length of wood used to make the fence is [tex]6400\ \text{cm}[/tex].
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If the height is changed to 3, does this have the same effect on the volume as changing the radius to 1?
If the height is now 3, then the new volume is π units3.
If the radius is now 1, then the new volume is π units3.
Therefore, changing the height to half of its original value and changing the radius to half of its original value does the volume. Halving the height of the cone the volume, while halving the radius of the cone results in the volume.
Answer:
4, 2, not have the same effect on, halves, 1/4
Step-by-step explanation:
pleeeeeez mark brainliest
Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.
How to find the volume of a cone?
We are given a right cone with;
radius = 2
height 6
volume is; V = ¹/₃π(2)²6 = 8π units³
If the height is now 3, then the new volume is;
¹/₃π(2)²3 = 4π units.
If the radius is now 1, then the new volume is;
¹/₃π(1)²6 = 2 units.
Therefore, changing the height to half of its original value and changing the radius to half of its original value does not have the same effect on the volume. Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.
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Evaluate (-A) 2 for A = 5, B = -4, and C= 2.
0-25
-10
10
25
Answer:
-10
Step-by-step explanation:
Substitute 5 into the equation
(-5)2
Simplify and get -10
Plz help asap. Ahdhduebdhf
Answer:
x = 125
Step-by-step explanation:
all of the angles in a triangle must add up to 180, so 25 + 30 + x = 180. you can subtract 25 and 30 from both sides and you are left with x = 125.
hope it helps!
________________________________
Hey!!!
Solution,
X+30+25=180(Sum of angle in traingle)
or,X+55=180
or,X=180-55
X=125
The value of X is 125.
Hope it helps
Good luck on your assignment
Stay safe
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A bag contains 6 red tiles and 5 yellow tiles. Another bag contains 8 red tiles and 2 yellow tiles. A token is removed from each bag. What is the probability that both tiles are yellow?
Answer:
The probability is most likely to occur
Step-by-step explanation:
1) Lakisha wants to buy some bitcoins. The exchange rate is $1 USD to 0.003 bitcoin. How many bitcoins can she buy with $400?
Enter your answer as a decimal, for example: 4.6
Answer:
1.2
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x2 + 8x – 4 = 0, which number would have to be added to "complete the square"?
