Answer:
(f∘g)(−4) = 12
Step-by-step explanation:
Given the functions
f(x)= 3x^2 + 4x - 3
g(x) = -2x-11
Required
(f∘g)(−4)
(f∘g)(x) = f(g(x))
f(g(x)) = f(-2x-11)
f(-2x-11) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(x)) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(-4)) = 3(-2(-4)-11)^2 + 4(-2(-4)-11) -3
f(g(-4)) = 3(8-11)^2 + 4(8-11) - 3
f(g(-4)) = 3(-3)^2 + 4(-3) - 3
f(g(-4)) = 3(9) - 12 - 3
f(g(-4)) = 27 - 15
f(g(-4)) = 12
Hence (f∘g)(−4) = 12
A square pyramid has a volume of 297 cubed feet. The width and length of the pyramid are
both 9. feet. Find the height of the pyramid.
Answer:
11
Step-by-step explanation:
H =V/(LxW)/3
H = 297/(9x9)/3
H = 297/(81)/3
H = 297/27
H = 11
Therefore, the height of the pyramid is 11ft square
Please answer this. I would greatly appreciate it
No links, no fake answers or your getting reported.
Answer:
11.1 feet
Step-by-step explanation:
When you are given a right triangle with a given angle and side, you can use
trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.
These ratios can be remembered by the mnemonic:
SOH CAH TOA.
S O H → Sin (Sine) = Opposite / Hypotenuse
C A H → Cos (Cosine) = Adjacent / Hypotenuse
T O A → Tan (Tangent) = Opposite / Adjacent
______________________________________
The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.
Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.
Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.
Because: 36 = Hypotenuse Side.
cos(72)° = Adjacent Side / Hypotenuse Side.
36 × cos(72°) =
36 × 0.309016994374... = 11.12461179749... ≈ 11.1
for the function f(x) = x2 + 3 what is the value of f(-4)?
Therefore, the value of the equation [tex]f(x) = x^2 + 3[/tex] is [tex]19.[/tex]
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]f(x) = x^2 + 3[/tex]
when [tex]x=-4[/tex] so,
[tex]f(-4)=(-4)^2+3\\\\f(-4)=16+3\\\\f(-4)=19[/tex]
Hence, the value of the equation [tex]f(x) = x^2 + 3[/tex] is [tex]19.[/tex]
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
I need help whats dose d = ? 41 = 21d - 7
Answer:
[tex]\frac{16}{7}[/tex]
Step-by-step explanation:
We have: [tex]41 = 21d - 7[/tex]. We add 7, to get rid of the 7, to the other side. [tex]41+7=21d. \\41+7=48.\\48=21d.[/tex]
41÷21, is[tex]\frac{16}{7}[/tex]
Answer:
4
Step-by-step explanation:
6. Write the equation that represents the points in
the table in vertex form.
The vertex of the function is (0, 2).
X |. Y
-2.| 6
-1 |. 3
0. | 2
1. | 3
2. | 6
Answer:
0. | 2
Step-by-step explanation:
I took (0.2) and made an equal sign and gave me 0. | 2
how do you solve 2x+4y=7 and -2x +3y=14
Answer:
y=3 x= -5/2
Step-by-step explanation:
simultaneous equations
2x + 4y = 7 ------ eq 1
-2x + 3y = 14 --------eq2
(different signs add)
(eq 2 + eq 1)
-2x +(-2x) = 0
4y+3y = 7y
7+14 = 21
7y= 21
(divide both sides by 7)
y= 21/7= 3
2x + 4(3) = 7
2x+ 12=7
2x = 7-12
2x = -5
x= -5/2
Point B is a point of tangency. Find the radius r of Oc 6. 15 B
Answer:
o6.15 B
Step-by-step explanation:
10. The letter tiles shown are placed in a bowl. Matt selects
one tile from the bowl. What is the probability that Matt
will select one of the letters in the word "JUMP"?
Answer:
2/5 or 40% chance
Step-by-step explanation:
how can you tell if a function is linear by looking at the graph or the equation
Help me pls! Thnx if u do ✨✌️
[50 POINTS] WILL MARK BRAINLIEST!!! Please solve the whole page with work!! It will be very much appreciated and I will heart the correct comment and give it 5 stars
Answer:
wait, it only 25 points...
Step-by-step explanation:
Harold has a round trampoline with a radius of 1 yard. What is the trampoline's diameter?
Answer:
2 yards
Step-by-step explanation:
As per its definition, the diameter is the largest line that can be drawn from end to end of a circle, the diameter will always pass through the center of a cricle. The radius of a circle is a line drawn from the center of a circle to one of its sides. The diameter is always twice the measure of the raidus.
Applying this knowledge here, when given a radius of (1) yard, the diameter will be twice the length, and thus it will be (2) yards.
Please help me out with my work
c≈2.92
1.5^2+2.5^2=2.92
What is the equation of the line that passes through the point (-2, 0) and has a slope of -2?
Answer:
y=-2(x+2)
Step-by-step explanation:
plug in(-2,0) into y-y1=m(x-x1)
y=m(x+2)
slope =m=-2
y=-2(x+2)
WILL GIVE BRAINLIEST What is the slope of the table shown?
3
5
1
2
Answer:
2
Step-by-step explanation:
Slope is the change in y over the change in x
m = ( y2-y1)/(x2-x1)
= ( 7-1)/(3-0)
= 6/3
=2
WORTH 40 POINTS
write an equation given the following transformations
a hyperbola that is moved left 2 and up 5
all the info i have. steps would be appreciated
Answer:
Step-by-step explanation:
In this section, we will focus on graphing hyperbolas that open left and right or ... To easily sketch the asymptotes we make use of two special line segments ... From the center (5,4), mark points 3 units left and right as well as 2 units up and down. ... standard form for the equation of a hyperbola given the following information.
Multiply 6/5 by the reciprocal of (-3/8)
Answer:
-48/15, simplified to -16/5
Step-by-step explanation:
The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.
Answer:
Step-by-step explanation:
hello :
6/5 by the reciprocal of (-3/8) means : ( 6/5 )(-8/3) = - 48/15 = -16/5
Madison finished of her homework
before dinner. What percent of
Madison's homework is left to finish?
15%
Answer:
I didn't understand your question
Using the frequency table below
Answer:
50%
Step-by-step explanation:
if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)
Find the are of the blue shaded region.
XTRA POINTS!!!
Plus brainliest!!!
No links or anything i will report you!!!!!
PLZ!!!!
Answer:
25π
Step-by-step explanation:
i hope u hav a gud day ^_^
Answer:
area = 73.37 cm²
Step-by-step explanation:
area of circle:
A = π5² = 78.5 cm²
area of 80° segment:
(80/360)(78.5) = 17.44 cm²
area of isosceles triangle w/ 5 cm legs and 80° angle:
sin 40° = b/5
0.6428 = b/5
b = 3.214
base = 2(3.21) = 6.43 (we only figured for one-half of the base)
cos 40° = h/5
0.7660 = h/5
height = 3.83
A = 1/2(6.43)(3.83) = 12.31 cm²
area of unshaded part:
17.44 - 12.31 = 5.13 cm²
area of total shaded part:
78.5 - 5.13 = 73.37 cm²
Subtract the following mixed numbers. Make sure your answer is in simplest form. (the answer choices are all mixed numbers.) 8 4/5 - 5 1/10
Answer:3 7/10
Step-by-step explanation:
look at pic I need help!!!! :(
Answer: x=12
Step-by-step explanation:
5x-15=2x+21(AIA)
3x-15=21
3x=36
x=12
The equation of a circle centered at the orgin is x^2 + y^2 = 16. What is the radius of the circle
Given:
The equation of the circle is:
[tex]x^2+y^2=16[/tex]
To find:
The radius of the circle.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is the center and r is the radius.
We have,
[tex]x^2+y^2=16[/tex]
In can be written as:
[tex]x^2+y^2=4^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0[/tex]
[tex]k=0[/tex]
[tex]r=4[/tex]
Here, the center of the circle is the origin and the radius is equal to 4 units.
Therefore, the radius of the given circle is 4 units.
Which of these is NOT an example of lateral surface area? A. The label of a soup can. B. Painting the walls of your bedroom. C. The paper wrapper of an ice cream cone. D. The air in a basketball.
Answer:
D
Step-by-step explanation:
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
The total surface area of a room would be the walls of the room. this is because the roof and the floor would be excluded
The wrapper of an ice-cream cone excludes the base and the top. Thus it is an example of the lateral surface area
The air in a basketball can qualify as the volume of the basketball (a sphere)
Answer:
D. The air in a basketball.
Step-by-step explanation:
How many (and of what nature) roots does the function have?
Step-by-step explanation:
(x+1) (x+4)
x * x make x^2
1 & 4 when multiplied make 4 and when added make 5
The range of y = - 32x ^ 2 + 90x + 3
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9
y
=
3
2
x
2
+
4
x
−
9
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
[
−
35
3
,
∞
)
Set-Builder Notation:
{
y
∣
∣
∣
y
≥
−
35
3
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
−
35
3
,
∞
)
,
{
y
∣
∣
∣
y
≥
−
35
3
}
image of graph
Answer:
y ≤ 66.28 -> -∞
Step-by-step explanation:
y = a (x-h)² + k ... (h,k): vertex
y = - 32x² + 90x + 3
= -32 (x² - (90/32)x + (90/64)²) + (3 + (32)*(90/64)²)
= -32 (x² - 2*(90/64)x + (90/64)²) + (3+63.28) ... 90/64=1.41
= -32 (x - 1.41)² + 66.28
h = 1.41
k = 66.28 .... extremum of y value
y ≤ 66.28 (y is real number)
Can someone help me and solve for x
Answer:
x ≈ 14.6
Step-by-step explanation:
Assuming the triangle is right.
Using the sine ratio
sin55° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin55° = 12 ( divide both sides by sin55°
x = [tex]\frac{12}{sin55}[/tex] ≈ 14.6 ( to 1 dec. place )
Answer:
24? because the measure of 12 is half the size of x then the other half should be 12 too so i think 24. I AM VERY SORRY IF ITS WRONG!!!!!!!
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible (see picture below and show work)
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of or use 3.14 for T and enter your answer as a decimal.
Answer:
64π²
Step-by-step explanation:
Formula is πr². Just put 8 into r.
Can I have Brainliest?
Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation?
–0.5 and 0.2
–0.2 and 0.5
–0.5 and 0.5
–0.2 and –0.5
Answer:
b -0.2 and 0.5
Step-by-step explanation:
