Given the definitions of f(x) and g(x) below, find the value of (gof)(1).
f(x) = 2x² – 2x – 4
g(x) = -5x + 14
Answer:
[tex](g*f)(x) = 34[/tex]
Step-by-step explanation:
For sake of clarity, [tex](g * f)(x) = g(f(x))[/tex]
First, find [tex]f(1)[/tex]
[tex]f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4[/tex]
Then, take what you got for [tex]f(1)[/tex] and plug that into [tex]g(x)[/tex]. In this case, [tex]f(1) = -4[/tex]
[tex]g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34[/tex]
Please make sure to mark brainliest if this satisfies your
What is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
1047.4 cm^3
Step-by-step explanation:
Answer:1047.4
Step-by-step explanation:
.
Which is the correct comparison?
4.25 hours = 260 minutes
260 minutes > 4.25 hours
4.25 hours > 260 minutes
260 minutes < 4.25 hours
Answer:
260 minutes > 4.25 hours
Step-by-step explanation:
1h=60 min.
0.25 h=¼h=¼*60min=15min.
4.25h=4h+0.25h=60*4+15min=240+15=255min
260>255
Answer:
60+60+60+60=240
240/4=4,25
=4,25
Can anyone help me with this? Please and thank you!
Answer:
x=-6, y=-7
Step-by-step explanation:
Answer:
x = -6, y = -7
Step-by-step explanation:
One way to solve for x and y is using the substitution method
(1) 3x + 4y = -46
(2) 6x + y = -43
Solve for y in equation (2)
6x + y =-43, so y = -43 - 6x
Substitute y = -43 -6x into equation (1)
3x + 4(-43 -6x) = -46
3x -172 -24x = -46
-21x -172 = -46
-21x = 126
x = -6
Find y by substituting x = -6 into equation (2)
6(-6) + y = -43
-36 + y = -43
y = -7
The sum of two numbers is 18 and their difference is 6.
What are the two numbers?
Larger number
Smaller number
Answer:
Large number=12
Smaller number=6
Step-by-step explanation:
Let the two numbers be x and y
x+y=18
x-y=6
If the length of a rectangle is 10 feet and the width is 3 inches, what is the area of the rectangle in units of
square feet?
Answer:
30 ft
Step-by-step explanation:
10 feet = 120 inches
120 in x 3 in = 360 in
360 in ÷ 12 in = 30 ft
Alice is using a rope to pull a wagon. He exerts a force of 2 newtons at an angle of 48° from the floor.
Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.
Part B: What implications does this have for pulling the wagon? Explain.
Answer:
Part A - i. 0.68 N ii. 1.88 N
Part B - The wagon will move slowly while being raised up off the ground.
Step-by-step explanation:
Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.
Since the force of 2 N is exerted at this new angle of 70°,
i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its
ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N
Part B: What implications does this have for pulling the wagon? Explain.
Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.
In the diagram, AABC ~ ADEF. Find the value of x.
A
12
B
CO
9
C C
D
36
24
E
27
F
The value of x is
what’s the value of x?
Answer:
B
Step-by-step explanation:
bdeehvdvjwjkwkwwjehheeh
If you dont know the anwser its always B
if (x+2)^2=49, then x + 2 = 7. True or False
If the means of 4,6,9,Y, 16 and 19 is 13, what is the value of y
Answer:
-246
Step-by-step explanation:
Add all the numbers together and divide by the amount of numbers added to find the mean. -246 is the only right answer.
Answer:
14
Step-by-step explanation:
To get the mean, you have to add all the numbers together, and then divide them by how many numbers there are. Here, i'll show you.
There are 6 numbers, including [tex]Y[/tex], which we need to find out.
The Equation: [tex]\frac{4+6+9+Y+16+19}{6} = 13[/tex]
We can simplify this equation into, [tex]\frac{54 + Y}{6} = 13[/tex]To find [tex]Y\\[/tex], we can do the inverse, and multiply [tex]13[/tex] by [tex]6[/tex].
(The 6 on the left side of the equation is then cancelled out)
[tex]\frac{54+Y}{6} = 13[/tex] becomes [tex]54 +Y =13[/tex] × [tex]6\\[/tex][tex]13[/tex] × [tex]6 = 78[/tex] so then [tex]54 + Y = 78[/tex]For this final equation to be true, [tex]Y[/tex] would have to equal [tex]14[/tex].
Hope the rest of your math goes well :)
PLEASE ANSWERS FAST
how do you find the perimeter of the base?
A. Multiply the side lengths
B. Divide the side lengths
C. Add all sides of the base shape
D. Take the square root after multiplying the side lengths
Answer:
C. Add all sides of the base shape
Step-by-step explanation:
perimeter = sum of length of sides of a polygon
Answer: C. Add all sides of the base shape
f(1) = -6
f(2) = -4
f(n) = f(n − 2) + f(n − 1)
f(3) =
Answer:
-10
Step-by-step explanation:
f(n)= f(n-2)+f(n-1)
• Put n = 3
=> f(3) = f(3-2) + f(3-2)
=> f(3) = f(1) + f(2)
=> f(3) = -6 + -4
=> f(3) = -10
Answer:
it in a file here
Step-by-step explanation:
xycba.com/file
HELP ME ASAP!!!!!!!!
See picture below.
Answer:
Step-by-step explanation:
x+3 - x = 3 = width
2(x+3) = 2x + 6 = length
2x + 6 +2x +6 +3 +3 = 4x + 18 = Perimeter of T
The box-and-whisker plots below show the test scores for Mr. Scott's three math classes.
Based on this information, with which class or classes does Mr. Scott most need to review the material covered on the test?
A. third period
B. first period
C. third and fourth periods
D. fourth period
Answer:
A. Third period
Step-by-step explanation:
- hope this helped!
Answer:
3rd
Step-by-step explanation:
price marked at R85 with VAT included
Answer: No image? Incomplete question? FREE POINTS!
Step-by-step explanation:
BRAINLIEST PLEASE!
6th grade math plz help
Performance Task: Super Survey Simulator
A performance task is a learning activity that asks students to perform to demonstrate their knowledge, understanding and proficiency.
What is a performance task?Your information is incomplete. Therefore, an overview will be given. A performance task measure whether a student can apply his or her knowledge to make sense of a new phenomenon.
It should be noted that performance tasks yield a tangible product and performance that serve as evidence of learning.
Learn more about performance on:
https://brainly.com/question/1532968
#SPJ1
Heya!
[tex] \underline{ \underline{ \text{question}}} : [/tex] In the adjoining figure , PQRS is a parallelogram and X , Y are points on the diagonal QS such that SX = QY. Prove that the quadrilateral PXRY is a parallelogram.
Answer:
See Below.
Step-by-step explanation:
We are given that PQRS is a parallelogram, where X and Y are points on the diagonal QS such that SX = QY.
And we want to prove that quadrilateral PXRY is a parallelogram.
Since PQRS is a parallelogram, its diagonals bisect each other. Let the center point be K. In other words:
[tex]SK=QK\text{ and } PK = RK[/tex]
SK is the sum of SX and XK. Likewise, QK is the sum of QY and YK:
[tex]SK=SX+XK\text{ and } QK=QY+YK[/tex]
Since SK = QK:
[tex]SX+XK=QY+YK[/tex]
And since we are given that SX = QY:
[tex]XK=YK[/tex]
So we now have:
[tex]XK=YK\text{ and } PK=RK[/tex]
Since XY bisects RP and RP bisects XY, PXRY is a parallelogram.
The mass of a sheep is about 6X10^1 kg. The mass of an ant is about 3X10^-3 kg. About how many times more mass does a sheep have than an ant?
Answer:
Given that average mass of an ant grams.
Given that average mass of a giraffe Kilograms.
Now we have to find about how many times more mass does a giraffe have than an ant. Before carring out any comparision, we must make both units equal.
Like convert kilogram into gram or gram into kilogram.
I'm going to convert kilogram into gram using formula
1 Kg = 1000 g
So the average mass of a giraffe grams.
Now we just need to divide mass of giraffe by mass of ant to find the answer.
=666666666.667
Hence final answer is which is approx 666666666.667.
Hope this Helps!
Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, h, Mario can afford to buy.
Write the inequality.
solve the inequality
Answer:
I think hamburgers=12
Step-by-step explanation:
How many 5 bills seth has
Answer:
22= 6(1x+5x)
Step-by-step explanation:
He could have 4 $5 bills and 2 $1 bills.
Answer:
he has 4 $5 bills
Step-by-step explanation:
22 - 2 = 20
20 divided by 4 = 5
so 4 $5 bills and 2 $1 bills
The last one the one at the bottom
Answer:
Step-by-step explanation
Her bank account decreased by 3 times.
Please let me know if this helps you!
find the missing side z
Answer:
Z=[tex]7\sqrt{2}[/tex] m
Step-by-step explanation:
This is a 45º-45º-90º triangle. That means the side lengths are x, x, and [tex]x\sqrt{2}[/tex].
In this case 14 m is equal to [tex]x\sqrt{2}[/tex]. Now solve for X, which is equal to Z.
The rest of the work is written down in the file attached
Don't forget the units though!
hope I could help
not sure how to do this. need help
Answer:
a) 25/2 or 12.5
b) 78,125
c) 625
d) 30,517,578,125
1. What does PEMDAS stand for?
P:
E:
M:
D:
A:
S:
Answer:
P- arenthesis
E- xpontent
M- ultiplication
D- ivision
A- ddition
S- ubtraction
Answer:
Step-by-step explanation:
p=parentheses
e=exponents
m=multiplication
d=division
a=addition
s=subtraction
A set of data may have more than one mode.
(1 Point)
True
False
Q1: What is the measure of angle one?
Answer:
34
Step-by-step explanation:
omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one
Mrs, carp's class has 11 boys and 17 girls. what is the probability that she will randomly chose a girl first and then a boy?
Possible answers ⇒
0.18
0.24
0.33
0.48
WILL GIVE BRAINLIST
Sophie has a box filled with trail mix the box has a length
Simplify the expression 5 + (15 + x).
A. 5x + 20
B. x + 20
C. x + 5
D. x+ 15
Answer:
the answer is B
I hope you a good day!
Answer:
B
Step-by-step explanation:
You can't do anything in the parentheses because you can't add x to 15 yet since x is unknown. Thus, you add 5 to 15 and get 20 + x or B, x + 20