Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
(f.g)(x) = 3x^2 - 3
f(x) = x + 2
g(x) = 3x^2 - 5
equation is the relationship between variable and represented as is example of polynomial equation.
f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3
Thus, (f.g)(x) = 3x^2 - 3
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Please help me please!
Answer:
(2) 19
Step-by-step explanation:
[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]Simplify. Express your answer using positive exponents.
k5
k
–
7
Abigail swims a number of laps, y, for every number of minutes, x. She swims 8 laps in 2 minutes
Answer:
8y-2x
Step-by-step explanation:
Energy from the Sun makes water end up in the ?
(I put math because there is no science)
Answer:
Clouds
Step-by-step explanation:
Since the heat cause the water to evaporate into water vapors.
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Answer:
r = -6 cos(θ)
Step-by-step explanation:
got it right on edge
The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).
What is the polar form?The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.
To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:
(x + 3)² + y² = (x² + 6x + 9) + y² = 9
Then we can express x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
Substituting these values into the equation and simplifying:
r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9
r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0
r² + 6r cos(θ) = 0
r(r + 6cos(θ)) = 0
Since r ≠ 0
So, the polar form of the equation is:
r = -6cos(θ)
Thus, the correct answer would be an option (A).
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Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10 . What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes?
Answer:
5 snack bags and 6 juice boxes.
Step-by-step explanation:
The least common multiple of 12 and 10 is 60. If he buys 5 snack bags and 6 juice boxes, he will have 60 of each. 12 goes into 60 5 times, and 10 goes into 60 6 times.
PLEASEE HELP AND SHOW WORK
Answer:
x = 25
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is
x - 8 = [tex]\frac{1}{2}[/tex] × 34 = 17 ( add 8 to both sides )
x = 25
if a rabbit can move 2/3 of a mile every hour then how many hours woild it take for a rabbit to go 10 miles
Answer: 6 hours and 40 minutes
Step-by-step explanation:
60 x 2/3 = 40
40 x 10 = 400
400/60 = 6.66666667
6.666667 = 2/3
60 x 2/3 = 40
6 hours and 40 minutes
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A.
Are the triangles similar?
How are they similar?
Complete the similarity statement: AYXZ ~
HELP ASAP 15 points
Answer:
SAS
Step-by-step explanation:
are these answers right?
Answer:
Yes, good job! :)
Two equations in two variables taken together are called *
1 point
(a) linear equations
(b) quadratic equations
(c) simultaneous equations
(d) none of these
Answer:
answer is options ( C ) simultaneous equation
All of the following are equivalent except _____.
-2 4
(-2) 4
(-2)(-2)(-2)(-2)
2 4
Answer:
[tex] -2 \: \: 4[/tex]
Step-by-step explanation:
-2 4 is not an equivalent equation
Answer:
c
Step-by-step explanation:
duh
Identify the like terms pairs; select all that apply.
8r + 3s + 8 – 3s – 4r
8r and 4r are like terms since they both have an r
also 3s and -3s are also like terms because of the s
Solve the following: Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hoursdoes Eric’s father work each afternoon?The equation for this math problem is 5(a +3) =40 What does the 5 represent? * What is a?
Mrs. Rose received a 30% discount on her cell phone. The price of her cell phone, after the discount, was $180 Rounded to the nearest dollar, what was the original price of her cell phone?
Answer:
30%
Step-by-step explanation:
coordinates of the midpoints of (-9,5) and (21,-7)
Answer:
wait what are we measuring I would need to see the graph to know
Answer:
(6,-1)
Step-by-step explanation:
5-(-7) = 12/2 = 6 so 6 units from 5 is -1 and 21-(-9) is 30/2=15 so 15 from 21 is 6
what isvequivalent to y=23x−6?
Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
can someone help me, I really need help .
Answer:
5) 12 6) -12 7) -6 8) 2 9) 80 degrees 10) 40 degrees
Step-by-step explanation:
:)
Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? show your work
Answer:
14
Step-by-step explanation:
If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.
7 1/3 ÷ 1/2= 14.6
You cant have .6 of a cupcake, therefore she can make 14 cupcakes.
Help will give crown
Answer:
1--7
4--22
6--32
10--52
Answer:
x=1 y=7
x=4 y=22
x=6 y=32
x=10 y=52
Step-by-step explanation:
PLEASE HELP whats the answer for this problem
Answer:
it is 20 me and that other kid did the same thing
Step-by-step explanation:
5x+12 + 3x+8 =180
8x=180-20
8x=160
hope that helps brainly plz
x=20
URGENT WILL MARK BRAINLIEST KIND OF HARD QUESTION
The high school students who attend Washington Preparatory Academy choose their elective classes according to their majors. Students are 37% likely to major in Performing Arts; 43% likely to choose Science and Technology; 82% likely to major in Business and Management; and 63% likely to select Humanities. Many students choose multiple majors. For example, some Science and Technology students also major in Business and Management because they want to be managers in technical companies. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.
What is the probability of the union of majoring in either Performing Arts or the Humanities?
1.00
0.26
0.77
0.23
Answer:
1.00 good luck!!!!! btw I hope u were talking about GPA because if so thats ur answer
Probability helps us to know the chances of an event occurring. The correct option is C.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that Students are 37% likely to major in Performing Arts; 43% likely to choose Science and Technology; 82% likely to major in Business and Management; and 63% likely to select Humanities. Therefore, the probability of the union of majoring in either Performing Arts or the Humanities is,
P(Humanities ∪ Arts) = P(Humanities) + P(Arts) - P(Humanities)(Arts)
= 0.63 + 0.37 - (0.63 x 0.37)
= 1 - 0.2331
= 0.7669 ≈ 0.77
Hence, the correct option is C.
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i am failing geometry and was wondering if my answers were right im really trying to get my grade up can someone please help thank you sm
Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3
I need help with this assignment problem, pls help ;-;
Answer:
1090 miles
Step-by-step explanation:
50525 - 48345 = 2180 miles in the two weeks
2180/2 (to find out how many miles in 1 week) = 1090
What is the absolute value for 3.45?
Answer:
∣∣3.45∣∣=3.45
Step-by-step explanation:
Answer:
3.45 and -3.45
Step-by-step explanation:
6th grade math:) please help..
Answer:
Okay the ratio of starfish to fish is 3:6 or 3/6 but simplified it is 1/2
The starfish ratio to 16 fish would be 8 or 16:8
and if there was one less starfish in the line the ratio would be 2:6 or 2/6 but simplified would be 1/3
Step-by-step explanation:
Okay to solve the first question we see that there are 6 fish and 3 starfish, when put into a ratio it is 3:6 (the reason the number of starfish is first in the ratio is because it is starfish to fish hence starfish goes first ). If you are wanting the ratio to be in fraction form you are going to put 3/6 and since 3 goes into 3 once and 6 twice so the fraction is 1/2
3:6 = 3/6 = 1/2
Since the ratio from starfish to fish is 1/2 of that number you are going to divide 16 by 1/2 or more like multiply:
16/ 1/2 = 16/1 * 1/2 = 16/2 = 8
I hope this helps you!!!
When the ratio of starfish is short of one then the ratio would be 2: 6 or in fraction form 2/6 but simplified is 1/3.
2:6 = 2/6 = 1/3
pls pls pls pls help
Answer if you know the correct answer
Answer:
a = -2
b = -30
c = -22.5
d = -18
Step-by-step explanation:
I answered all the equations and highlight the correct ones which are answer choices B and C.
NEED HELP ASAP!
Ted has an impressive total of 145 dimes and quarters. The collection is worth $24.25.
How many dimes and quarters does he have?
9514 1404 393
Answer:
80 dimes65 quartersStep-by-step explanation:
Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...
0.25q + 0.10(145 -q) = 24.25
0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms
q = 65 . . . . . . . . . . . divide by 0.15
d = 145 -q = 80
Ted has 80 dimes and 65 quarters.
___
Check
80 dimes: $8.00
65 quarters: $16.25
Total: $8.00 +16.25 = $24.25.