Can someone plz help me with this one problem plzzzzz
I’m Marking Brainliest!!!
If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.
f(h + 9)
Answer:
Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)
The required value of each function is
f(h + 9) = 2(h + 6)
g(h + 9) = -(2h + 19)(h - 9)
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now the given functions are,
f(x) = 2x – 6
g(x) = x – 2x²
Now putting x = h + 9 in f(x) and g(x)we get,
f(h + 9) = 2(h + 9) – 6
⇒ f(h + 9) = 2h + 18 – 6
⇒ f(h + 9) = 2h + 12
⇒ f(h + 9) = 2(h + 6)
and
g(h + 9) = (h + 9) – 2(h + 9)²
⇒ g(h + 9) = h + 9 – 2(h² + 81 + 18h)
⇒ g(h + 9) = h + 9 – 2h² + 162 + 36h
⇒ g(h + 9) = -2h² + 37h + 171
⇒ g(h + 9) = -(2h + 19)(h - 9)
Thus, the required value of each function is
f(h + 9) = 2(h + 6)
g(h + 9) = -(2h + 19)(h - 9)
To learn more about function :
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This year, Benny is 12 years old, and his mom is 48 years old. What percent of his mom's age is Benny's age?
Answer:
25%
Step-by-step explanation:
12/48 is 1/4 which is equal to 25%
The circumference of a circle is 94.2 millimeters. What is the circle's radius?
Answer:
14.99
Step-by-step explanation:
What is the surface area of this rectangular prism, in square meters? 3 m 7 m 13 m
Answer:
302
Step-by-step explanation:
7*13*2 + 3*7*2 + 3*13*2 = 302
HELP MEEEEE PLEASEEEEEE
Answer:
8.6
Step-by-step explanation:
There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).
For this, you would have to know the distance formula which is
d=√(x2−x1)^2+(y2−y1)^2
Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)
Further simplifies into [tex]\sqrt{49+25}[/tex]
=[tex]\sqrt{74}[/tex]
=8.602325
use the distance formula:
√ ( x2 - x1 )² + ( y2 - y1 )²
√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²
√ ( 7 )² + ( 5 )²
√ 49 +25
√ 74
8.602325267
8.6 is the answer
If the arc measure is 90 degrees and the diameter of the circle is 10, what is the arc length?
Answer:
2.5π
Step-by-step explanation:
First, let's find the circumference of the circle. The circumference is equal to dπ, or the diameter times π.
Knowing the diameter is 10, we can easily find that the circumference is 10π.
10π is the entire circumference, but we only need 90° of the circle. If the whole circle is 360°, then that means the portion we need is 90°/360°, which is 1/4.
1/4 times 10π is equal to 2.5π.
2.5π is the arc length.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?
Answer:
$90
Step-by-step explanation:
Given data
Price= $900
Rate= 25%
Time= 8 years
Let us apply the compounding formula
A= P(1-r)^t >>>>note that the negative sign is because of the depreciation
substitute
A= 900(1-0.25)^8
A= 900(0.75)^8
A= 900*0.100
A= $90
Hence the value of the car after 8 years will be $90
Given the series 2+ 6 + 18+
*
use an appropriate formula to find S12.
Please put full solution.
Answer: Samsung Galaxy S12
Answer:
S₁₂ = 531440
Step-by-step explanation:
There is a common ratio between consecutive terms, that is
r = 6 ÷ 2 = 18 ÷ 6 = 3
This indicates the sequence is geometric with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )
where a is the first term and r the common ratio
Here a = 2 and r = 3 , then
S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]
= [tex]\frac{2(531441-1)}{2}[/tex]
= 531441 - 1
= 531440
What is the volume of the circular cylinder if height is 25 and circumference 12
Answer:
V = 900π ≈ 286.47 units³
Step-by-step explanation:
C = 2πr
12 = 2πr
r = 12/2π = 6/π
V = 2πr²h
V = π(6/π)²(25) = π(36/π²)(25)
V = 36/π(25) = 900/π ≈ 286.47
earn 5 coins Which of the algebraic expressions below is equal to 20? Select all that apply. A) (5)(0.6) x 7 B) (C) (15) + 8 C) 4. (8 + 2) = 2 D) 14 + 4(2 + 3)
Answer:
A) (5)(0.6) x 7 = 3 x 7 =21
B) (C) (15) + 8
C) 4. (8 + 2) = 2 = 4(10)
D) 14 + 4(2 + 3) = 14 + 4(5) = 14 + 20 =34
Sorry not clear your question
Step-by-step explanation:
answer this please. :/
Answer:
1/2
Step-by-step explanation:
please help due 15 min hurry
Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?
Answer:
I think the answer is 183.28
Step-by-step explanation: I divided 68.75 by 3 and got 22.91
so I multiplied 22.91 and 9.
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wrap around the can?
Answer:
218 cm²
Step-by-step explanation:
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?
The formula to solve the above question is given as:
The curved or the lateral surface area of the cylinder = 2πrh
Where:
r = 3.4 cm
h = 10.2 cm
The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm
= 217.9 cm²
Therefore, the approximate area of the label that wraps around the can is
218 cm².
What is the 18th term in this sequence?
5. 11, 17, 23. ...
2. The rectangular prisms shown below are
similar. What are the values of x and y?
8 in
у
3 in
X
12 in
a in
X:
y:
Answer: x=1, y=5
Step-by-step explanation:
A photograph measures 12 centimetres by 20 centimetres. A printing company enlarges the photo. The length of the enlarged photo is 60 centimetres. What could he other dimension of the enlarged photo be?
Answer:
36 centimeters
Step-by-step explanation:
Since one side is 60 centimeters, just divide by 20 and get 3
Then multiply 12 by 3 and get 36
I hope this helps!
Can I please have the answers ASAP
-10+4=
-7-11=
Answer: for -10 + 4 the answer is -6
for -7 - 11 the answer is -18
Step-by-step explanation:
For -10+4 all you do is start at -10 and go up 4 to -6 (-9, -8, -7, -6)
and for -7 - 11 you start at 7 and just go down (but the numbers get bigger) to -18 (-8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18)
what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21
Answer:
it must be y=-5x+21
Step-by-step explanation:
lets type the equation in front of us and make it simple so we can deal with it
y-1=-5(x-4)
first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this
y-1=-5x+20 -5*x=-5,, -5*-4=20 (note: when you multiply negative with
negative result is positive)
then add each side by 1 so it will be
y=-5x+21
In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87
Answer:
30.4
Step-by-step explanation:
Help, please, please!!
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees.
40+3x+180-5x+10=180
-2x+50=0
-2x=-50
x=25
Again using the fact that the angles must have a sum of 180
40+3x+a=180
40+3(25)+a=180
40+75+a=180
a+115=180
a=65
So angle 1 is 65 degrees.
wally used 45 cars on the lot. of these 20% of the cars are red
Answer:
9 cars are red
Step-by-step explanation:
45 x 0.2 = 9
Answer:
9 cars
Step-by-step explanation:
0.2*45
how much would $200 invested at 7% interest compounded monthly worth after 5 years
9514 1404 393
Answer:
$283.53
Step-by-step explanation:
The compound interest formula is useful.
A = P(1 +r/12)^(12t)
gives the amount A when principal P is invested at annual rate r compounded monthly for t years.
Using your values, this is ...
A = $200(1 +0.07/12)^(12·5) ≈ $283.53
The investment would be worth $283.53 after 5 years.
Answer:
$280.51
Step-by-step explanation:
just took this
I got 10 min to submit pls I need it asap
Answer:
We just need the equations to equal the same, which is y.
5+1.10x=y
3+1.50x=y
5+1.10x= 3+1.50x
Let's get x by itself by subtract 3 from both sides.
2+1.10x= 1.50x
Now subtract 1.10x from both sides.
2= 0.4x
Now divide each side by 0.4
5=X
So, at 5 games they're the same cost. Let's find the cost.
5+1.1(5)= 5+5.5=10.50
3+1.5(5)=3+7.5= 10.50
So, at 5 games, they are $10.50.
Hope this helps! :)
x / 12 equals 27 / 33
25% of what is 84? help me and my other questions, please.
Answer:
25% of 84 = 21
Step-by-step explanation:
. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.
Answer:
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Step-by-step explanation:
Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.
To model: the tree growth with the Fibonacci sequence
Solution:
Take [tex]a_1=2[/tex]
Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.
[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]
So,
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Answer:
Yes.
Step-by-step explanation:
The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.
A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.
Answer:
The height is 4 cm
Step-by-step explanation:
V = (pie) x radius² x height
615.44 cm³ = (3.14) x 7² x h
h = 615.44 cm³/(3.14 x 49)
h = 615.44 cm³/153.86
h = 4 cm²
Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is
Answer:
Lauren's triangle is an isosceles triangle
Step-by-step explanation:
Given the sides of a triangle as 7mm, 9mm and 7mm.
From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.
An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE
Answer:
Lauren's triangle is an isosceles triangle
Step-by-step explanation:
Given the sides of a triangle as 7mm, 9mm and 7mm.
From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.
An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE