F(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]
Answer:
[tex]\dfrac{a+b+c}{a} =7[/tex]
Step-by-step explanation:
Given :-
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]And we need to prove that ,
[tex]\dfrac{a+b+c}{a} =7[/tex]So let us assume that ,
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]
Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,
[tex]\dfrac{a+b}{3}=k[/tex][tex]\implies a + b = 3k \quad \dots (i) [/tex]
Similarly we can say that ,
[tex]\implies c + b = 6k \quad \dots (ii)[/tex]
[tex]\implies a + c = 5k\quad \dots (iii) [/tex]
Subtracting (i) and (ii) :-
[tex]\implies a - c = -3k \quad \dots (iv) [/tex]Adding (iv) and (iii) :-
[tex]\implies 2c = 4k [/tex]
[tex]\implies \boxed{c = 4k }[/tex]
Put this is (ii) :-
[tex]\implies b +4k = 6k [/tex]
[tex]\implies \boxed{b= 2k }[/tex]
Similarly we will get ,
[tex]\implies \boxed{a = k }[/tex]
Proving the given equation :-
[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]
Hence proved !
i need help i cant figure it out and I am struggling show WORK. NO LINKS please
(t + 8)( - 2) =12
Answer:
t = -14
Step-by-step explanation:
(t + 8)( - 2) =12
(t)(-2) + (8)(-2) = 12
-2t + -16 = 12
(subtract to make -16 positive)
-2t - 16 = 12
+16 +16
(add 16 to both sides. 16 and 12)
-2t = 28
(divide)
-2t = 28
/-2 /-2
t = -14
hope this helped!
Please help, I don’t know what I’m supposed to do
Lugi is an urban planner As an independent contractor, He charges 140 fee plus 25 for each contract in the city
Answer:
y=140+25x
Step-by-step explanation:\Given data
Flat fee= $140 per event
Charge per contract=$25
Hence the expression for his total charges y for x number of contracts is expressed as
y=140+25x
Please help me with this question
Answer:
[tex]y = e^{x^2 - 3x}\\\\\\Let \ u = x^2 - 3x\\\\y = e^u\\\\\frac{dy}{du} = e^u\\\\\frac{du}{dx} = 2x - 3\\\\y' = \frac{dy}{dx} = \frac{dy}{du} *\frac{du}{dx} = e^u * (2x -3)\\\\Substitute \ u = x^2 -3\\\\y' = (2x -3)e^{x^2-3x}\\\\option A[/tex]
If each triangle is the right Triangle yes or no?
Answer:
This is not a right triangle
Step-by-step explanation:
right triangle has a 90° angle and this triangle does not have a 90° angle
heyy! i’ll give brainliest please help
Answer:
North?
Step-by-step explanation:
PLZZZ HELPZZZZZZZZZZZZZZ
Answer:
option 1 , not correct
x + 3 > -7
x > -7 - 3
x > -10
x ={ - 9, - 8, - 7 . . .}
option 2, not correct
x - 3 ≤ -7
x ≤ -7 + 3
x ≤ -4
x = { -4, -5, -6 . . . }
option 3, not correct
x - 3 ≥ -4
x ≥ -4 + 3
x ≥ -1
x ={ -1, 0 , 1 , 2 . . .}
option 4, correct
x - 3 ≥ -7
x ≥ -7 + 3
x ≥ -4
x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }
PLEASE HELP! FIRST ANSWER GETS POINTS AND MARKED BRAINLIEST. If joe has 13 pieces of art but his teacher tells him to make 13 times more, how many does joe have to make?
Answer: 169 more?
Step-by-step explanation: I multiplied 13x13 and got 169
Find the area of this circle. Use 3.14 for pi . the circle is 72 in
Answer:
16277.76 in
Step-by-step explanation:
area
[tex]\pi \times {72}^{2} [/tex]
In ΔHIJ, j = 98 cm, h = 38 cm and ∠I=23°. Find the length of i, to the nearest centimeter.
Answer:65
Step-by-step explanation:
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
Select all expressions that are equivalent to 2 x 2 x 2 x 2 x 2 x 2
Answer: The answer is A,B, and E.
Step-by-step explanation:
Mr.Li bought a memory card for $138.89 including tax.The card had a sticker price of $129.20.What percent sales tax did he pay.
Answer:
7.5%
Step-by-step explanation:
Cost of memory card including tax = $138.89
Cost of memory card only = $129.20.
Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only
= $138.89 - $129.20
= $9.69
Cost of tax on memory card = $9.69
What percent sales tax did he pay.
Percent of tax = Cost of tax on memory card / Cost of memory card only
= $9.69 / $129.20 × 100
= 0.075 × 100
= 7.5%
Percent of tax = 7.5%
PLEASE I NEED HELP ASAP!!
Answer:
4√5
Step-by-step explanation:
Help with this problem pls
As x increasing y decreases.
As x decreases, y increases.
Please mark as the brainliest.
Hope it helps you.
Thank You
An electrician needs 3/8 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 2 1/4 rolls of wire? Write your answer as a fraction or as a whole or mixed number.
Answer: 6 rooms
Step-by-step explanation:
3/8 rolls of wire are needed to wire a room in a house. If there are a total of 2¹/₄ rolls of wires, the number of rooms that could be wired is:
First convert to an improper fraction:
2¹/₄ = 9/4 rolls of wire
Total number of rooms that can be wired are:
= Total amount of wire available / Wires per room
= 9/4 ÷ 3/8
= 9/4 * 8/3
= 72 / 12
= 6 rooms
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
How many classes would Gina need to take for the total cost to be the same at both dance studios?
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
Answer:
AStep-by-step explanation:
How many degrees does the hour hand of a clock turn between 3 p.m and 7:30 p.m ?
A clock has 12 hours on it.
360/12 = 30
Each hour is 30 degrees.
3pm to 7:30pm is 4.5 hours
Multiply total hours by degrees per hour:
4.5 x 30 = 135 degrees
Answer:
135 degree
Step-by-step explanation:
difference of 3pm to 7:30 is 4 hrs 30 min
12hrs=360degree
60min=360degree
4×360/12
=120
360/12×60×30
360×30÷720
15
now
120+15
135degree
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation
3x + 2y = -21
x - 3y = 4
3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21
Answer:
answer is
3(3y+4) + 2y = -21 .
I need help on this question.
can someone help?
Please help will Mark brainliest
Answer:
3.v-4=6
v=6+4
v=10
6.y-32=-1
y=-1+32
y=31
9.-1=t+(-19)
-1=t-19
-1+19=t
18=t
12.u+(-5)=-15
u-5=-15
u=-15+5
u=-10
15.47=w-(-8)
47=w+8
47-8=w
39=w
21.18f=-216
f=-216/18
f=-12
24.96=-24a
96/-24=a
-4=a
27.-84=d/3
-84*3=d
-252=d
30.81=1/6*n
81=n/6
81*6=n
486=n
33.5/9*p=-10
5p=-10*9
p=-90/5
p=-18
please i need help fast. please show WORK and tell me how to do it NO links,
15 = b/15 check your solution.
Answer:
b = 225
Step-by-step explanation:
multiply both members by 15
15 x 15 = (b/15)x 15
b = 225
Answer:
225
Step-by-step explanation:
if b divided by 15 equals 15, multiply 15 by 15 and you get 225
Which line is graphed below? y = 3x2 y=-3x - 2 y = -3x + 2 O y = 3x - 2
Answer:y=3x-2
Step-by-step explanation:
√48m^4 n^3 p^4
simplify square roots
Answer:
4m^2np^2√3n
Step-by-step explanation:
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.
Step-by-step explanation:
Stay Safe <3 =3 Can I maybe Get Brainliest?
heyy! i’ll give brainliest please help.
Answer:
I believe it's the Gulf Stream
Step-by-step explanation:
"Warmer air associated with the North Atlantic drift brings warmer Gulf Stream waters to the western areas of the British Isles. Keeping it much warmer than it would otherwise be."
Answer:
im going to say the equator
Step-by-step explanation:
If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......
1.Counting Pr inciple
2.Permutation
3.Combination
Answer:
1. counting principle
Step-by-step explanation:
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Xander's adult cat weighs 2,918 grams. As an 8-week old kitten, Xander's cat weighed 640 grams. What is the percent increase in the kitten's weight rounded to the nearest whole number?
Answer:
Percentage increase = 36%
Step-by-step explanation:
Kitten's weight = 640 grams
Adult's weight = 2918 grams
To find the percentage increase in the kitten's weight;
We will calculate the increase using the formula;
[tex] Increase = original \; number - new \; number [/tex]
Substituting the values, we have;
Increase = 2918 - 640 = 2278
Mathematically, percentage increase is calculated using the following formula;
[tex] Percentage \; increase = \frac{increase}{original \; number} * 100[/tex]
[tex] Percentage \; increase = \frac{2278}{640} * 100[/tex]
[tex] Percentage \; increase = 3.56 * 100[/tex]
Percentage increase = 35.5 ≈ 36%