24. Find f'(x) for f(x) = ax2 + bx.
Answer:
f'(x) = 2ax + b
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = ax² + bx , then
f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]
= 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )
= 2ax + b
Q.2*
Simplify
(2a2 – 4a – 8)(a + 1)-1
A. 2a - 6
2
a+1
B. 2a2 - 6a - 2
2
C. 2a + 6+
a+1
i think the B is the answer
A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.
please help me fr im struggling
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex] - 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
A telephone company charges its customers per minute to make long-distance calls. The cost, c, can be represented by c = .12m where m is the number of minutes. Which type of number is most reasonable for the domain of the situation?
Answer:
m ≥ 0
Step-by-step explanation:
Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.
Find the slope. Please someone answer this I need it I’ve been posting it but no one says anything.
Answer:
y=1x
y=0.3x
y=4x
Step-by-step explanation:
A regional airport, community college, and city hall building are located at the vertices
of a right triangle formed by three roads. The airport and the city hall are 10 miles apart.
The distance between the airport and the community college is 8 miles, and the distance
between the city hall and the community college is 6 miles,
A service road will be constructed from the main entrance of the community college to
the road that connects the airport and the city hall. What is the shortest possible length
for the service road Round your answer to the nearest tenth,
Answer:
Aye My Guy You Got The Answer Yet Lol
Step-by-step explanation:
Find the difference (6d+5)−(2−3d)
Answer:
9d+3
Step-by-step explanation:
(6d+5)-(2-3d)= cancel out parentheses
6d+5-2+3d= Commutative property of addition
6d+3d+5-2= Group like terms
(6d+3d)+(5-2)= Combine like terms
Answer = 9d+3
6.
Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?
Answer:
A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Step-by-step explanation:
A composite figure is formed by two or more shapes in contact.
Volume of a cube = [tex]l^{3}[/tex]
where l is the length of its sides.
Given that l = 2r, then;
volume of the cube = [tex](2r)^{3}[/tex]
= 8[tex]r^{3}[/tex]
volume of the cube = 8[tex]r^{3}[/tex]
For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Also,
volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
So that,
volume of the composite figure = volume of the cube + volume of the hemisphere
= 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]r^{3}[/tex](8 + [tex]\frac{2}{3}[/tex][tex]\pi[/tex])
volume of the composite figure = [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Find the value of x. Round to
the nearest tenth.
17°
47
X = [
The answer to nearest tenth is 45.0
HELP PLSS !!
Margot is studing the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that occurs. She finds the linear regression (line of best fit) to by y=47.3+0.73x
If an additional 1 inch of rain fell, how many MORE bushels of wheat would be yielded
0.78
60.64
48.08
47.3
Answer:
its c 48.08 im pretty sure
Step-by-step explanation:
For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].
(1)
Here the full price is [tex]42+8=50[/tex]
So, the commission the employee earned as a percentage of the total cost of the gym membership is
[tex]\frac{8}{50}=16[/tex] %
(2)
Here, the employee sells a family pass for $[tex]135[/tex].
So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be
[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
To know more about the percentage
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{(1, 7.6) (2, 7.2) (3, 6.8) (4, 6.4) (5, 6) (6, 5.6)}
Is this a function or no?
Answer:
Yes
Step-by-step explanation:
Let's put them vertically because that helps me explain this
x, y
1, 7.6
2, 7.2
3, 6.8
4, 6.4
5, 6
6, 5.6
For this to be a function there should be one output for every input, the y coordinates are our outputs and as you can see none of them repeat so this is a function.
△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
A. ∠1≅∠B
B. m∠BAC+m∠C+m∠2=180°
C. m∠1+m∠BAC+m∠2=180°
D. ∠1≅∠C
E. ∠2≅∠A
Answer:
I think a) and c is correct.
Given the diagram and AB || CD, which of the following
statements is most likely to be used to show that
AECD - AEAB?
A
С
A
E
3
D
ZECD=ZECD
ZABEZECD
ZEABELECD
LEDCZEAB
Seems easy but this has my brain hurting.
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
Anybody know this? (Geometry)
Answer: d
Step-by-step explanation:
Given the function f(x)= -5x^{2} - x + 20, find f(3)
How much interest is earned when the principal amount is $250, the annual simple interest rate is 1%, and the number of years is 10? (
Answer:
240.1
Step-by-step explanation:
At a restaurant your bill is $32. You have a coupon for 15% off. You are in Idaho and they charge you 7% tax. (Discount before tax) What is the final cost of your meal after your discount and with tax included? Round to the nearest cent.
Answer:
the answer is 25.30
Step-by-step explanation:
1. first you subtract the 15% from the bill that comes out to $27.20
2. next subtract the 7% tax from the $27.20 to get your answer
I don’t get this at all please help!!
Answer:
I can't this type of mathematics
Answer:
29) x = 12
30) x = 6
31) x = -4
32) x = 5
Not sure if the degree symbol is needed for the answer.
Step-by-step explanation:
Apply angle sum of triangles to all 4 questions.
29) (3x + 4) + 50 + 90 = 180 i.e. x = 12
30) (8x + 7) + 35 + 90 = 180 i.e. x = 6
31) 64 + 65 + (x + 55) = 180 i.e. x = -4
32) 70 + 35 + (14x + 5) = 180 i.e. x = 5
can someone find the perimeter of this shape? ill give brainliest if ur right
Answer:
24
Step-by-step explanation:
Add up all the sides to fid the perimeter. 6+6+8+4=24
What is the value of x?
15x + 13y = 11
Pls help me
Answer:-0.133333333333
Step-by-step explanation:
Which type of transformation is shown in the figure on
the left?
O translation
O reflection
O rotation
O dilation
The answer is reflection
yea the answer is reflection
The type of transformation that's shown in the figure on the left is; reflection
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,
A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.
The answer is; reflection
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Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46
Answer:
A B D
Step-by-step explanation:
A 38+4=42
B 4+15=19
C 18= 20-2
D 32= 36-4
E 52-6=46
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
The value of p and q in the right triangle are as follows:
p ≈ 30.6 units
q ≈ 14.9 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Let's find p and q using the trigonometric ratios.
Hence,
sin 64 = opposite / hypotenuse
opposite side = p
hypotenuse = 34
Therefore,
sin 64 = p / 34
cross multiply
p = 34 sin 64
p = 30.5589975742
p ≈ 30.6 units
Hence,
cos 64 = adjacent / hypotenuse
cos 64 = q / 34
cross multiply
q = 34 cos 64
q = 14.9046189908
q = 14.9 units
Therefore,
p ≈ 30.6 units
q ≈ 14.9 units
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what is the equation of the line in slope-inr except form.write your answer using integers proper fractions and improper fractions in simplest form
Answer:
Figure it out yourself loser
Step-by-step explanation:
My guys do your thing i am giving brainliest
Answer: 18.84
1. Multiply the radius by two (diameter)
2. Multiply the diameter by pi
3. Round
Answer:
the circles circumference is 18.84 cm
Solve for x and show your work.
12 = -4(-6x - 3) HELP
Answer:
12= (24x+12) 0=24x Hope this helpsAnswer:
x=0
Step-by-step explanation: