Answer:
[tex]g(f(3))=-2[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]
And we want to find g(f(3)).
So, let's find f(3) first:
[tex]f(3)=3(3)-10[/tex]
Multiply:
[tex]f(3)=9-10[/tex]
Subtract:
[tex]f(3)=-1[/tex]
Therefore, we can substitute -1 for f(3):
[tex]g(f(3))=g(-1)[/tex]
Now, find g(-1):
[tex]g(-1)=4(-1)+2[/tex]
Multiply:
[tex]g(-1)=-4+2[/tex]
Add:
[tex]g(-1)=-2[/tex]
And we're done!
So:
[tex]g(f(3))=-2[/tex]
Explain the steps you would take to find the quotient of 1/3 divided by 4/3
Sample Response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
here u go:)
First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
have a great day :)
The perimeter of a square is defined by the function p(s)=4s if the perimeter is no more than 48 cm, which statement describes the domain for s, the side length of the square?
A. 0 < s ≤ 12
B. [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ]
C. All real numbers
D. s ≤ 12
Answer:
A. 0 < s ≤ 12Step-by-step explanation:
Given
p(s) = 4sIf
P ≤ 48Then
4s ≤ 48s ≤ 12Since perimeter can't be negative or zero, the domain will be:
0 < s ≤ 12Correct choice is A
The quotient of the three times a number and the quantity 4 plus the same number. Use n.
if the quotient of three times a number and four is decreased by three, the result is nine. whats the number
Answer :Trevor,
number = x
(3x÷ 4) - 3 = 9
Use a common denominator 4: 3x - 12 = 36
3x = 48
x = 16
Does it fit the original equation?
[(3 x 16) ÷ 4] -3 = (48 ÷ 4) -3 = 12 - 3 = 9
Hope it helps
If you shift the quadratic parent function, f(x) = x2,right 12 units, what is the
equation of the new function?
A. g(x) = x² + 12
B. g(x) = x2 - 12
ООО
C. g(x) = (x - 12)
D. g(x) = (x + 12)
40. A pendulum in a museum swings through
an angle of 60° in 17.3 s. The linear velocity
of the pendulum is 1.32 ft/s. Determine the
length of the pendulum.
Answer:
21.81 ft
Step-by-step explanation:
For an arc of measure α and radius r, the arc length is ...
s = r·α . . . . . . where α is in radians
Then the linear speed is ...
s' = r·α'
Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...
r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft
r ≈ 21.81 ft
The length of the pendulum is about 21.81 feet.
if f(x)=x^2, and
g(x)=x-1,then
f(g(x))= ___x^2+___x+____
Answer:
(1)x²+(1)+ (-2)
Step-by-step explanation:
f(g(x)= f(x-1) = (x-1)²
=x²+1-2
Answer:
Step-by-step explanation:
f(g(x))
g(x) = x - 1
f(x - 1)= (x - 1)^2 = x^2 - 2x + 1
True of False? 3x +6=12
Answer
false 3 times 6 doesn't =12 that would be 18 2 times 6 =12
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
D(3,0) is correct answer
PLEASE HELP!!!! which values are in the domain of the function f(x)=-6x+11 with a range {-37,-25,-13,-1}? Pick ALL that apply
a. 1
b. 2
c. 3
d. 4
e. 5
f. 6
g. 7
h. 8
Answer:
e or f
Step-by-step explanation:
Classify by degree of polynomial:
3x3 - 6x
Answer:
polynomial of degree 3
Step-by-step explanation:
Given
3x³ - 6x
The degree of a polynomial is given by the exponent of the term with the largest exponent.
In this case 3x³ has exponent 3 and - 6x has exponent 1
Thus this is a polynomial of degree 3
Using the statements: If it is Friday, then I will get paid. It is Friday. Write the conclusion
Explain what a ratio is and provide two examples- Please help it would help me out a lot.
Answer:
A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".
2 examples:
2:5
4 to 3
5/6
6. Henry's room rent is $40. His electricity bill is $10 and food expenses are
$15. His job deposited his salary of $60 into his bank account. What would
be the balance remaining after paying his monthly expenses?
Please help me
Answer:
henry would be -5$ in debt other words he needs 5$ in order to pay for his monthly expenses
nenr World -5 un debt otner
If there are 679 peaches and then you divide by 4.How many do u have in all.
Answer:
if you have a total of 679 peaches and you split them up into 4 different groups, you will have 169 whole peaches in each but you'll have .75 of a peach left over.
Step-by-step explanation:
Out of 100 students of a class, 30%use smart mobile phones. How many
students use the sm art phones?
Answer:
u can calculate yourself
Answer:
30
Step-by-step explanation:
This is the answer hope it helped
A box contains 7 red, 14 yellow, 21 green, 42 blue, and 84 purple marbles. A marble is drawn at random from the box. Find the odds against drawing a purple or yellow marble.
A. 5 to 7
B. 5 to 12
C. 2 to 7
Answer:
B
Step-by-step explanation:
Here, we are to find the odds against drawing a purple or yellow marble.
Mathematically, the odds against drawing a particular marble color = 1 - the probability of drawing that particular marble color
probability of drawing a purple colored marble = number of purple colored marbles/total number of marbles
= 84/(84 + 42 + 21 + 14 + 7) = 84/168 = 1/2
So the odds against drawing a purple colored marble = 1 - 1/2 = 1/2
The odds against drawing a yellow marble color = 1 - probability of drawing a yellow colored marble
Probability of drawing a yellow colored marble = number of yellow marbles/total number of marbles = 14/168 = 1/12
So the probability of drawing a yellow colored marble or purple colored marble = 1/12 + 1/2 = 7/12
Now, the odds against drawing either of the two = 1 - the probability of drawing either of the 2 = 1 -7/12 = 5/12
or simply put 5 to 12
Audrey's graduation picnic costs $3 for every attendee. At most how many attendees can
there be if Audrey budgets a total of $27 for her graduation picnic?
Answer:
9 is how many people can attend
A mineral water bottle is 3/4 full and Denise drank 80% of the water. Find the percentage of water left in the bottle.
Answer:
nchhfhhhgfddnbnbbhtffghtnj5ydwkdyherv
Garrett is cutting wood. He can cut 50 bundles an hour. Write an expression to represent the
number of bundles he can cut after h hours.
Someone help !! These are Absolute values & integers !!
Answer:
4,9,12,24,5,5,1,11,9,9
Step-by-step explanation:
those are the anwsers, in order
+ × += +
+ × -= -
- × - =+
ok
like 2 +[-3]
ok + × - = -
ok
like you subtract it 2+ [-3]
2-3 = 1
2x +8=2(x + 4) what is x
Hey there!☺
[tex]Answer:\boxed{\text{True Solutions}}[/tex]
[tex]Explanation:[/tex]
[tex]2x+8=2(x+4)[/tex]
All of them are true solutions because 2x + 8 is equal to 2(x+4) which shows that is a true solution. So they are all true solutions.
Hope this helps!
2. Deena drove 585 miles in 9 hours. How fast did she drive in 1 hour?
Answer:
Deena drove 65 miles in 1 hour
Step-by-step explanation:
hope it helps
q(x)=4/5x-9 q(x)=3 PLEASE HELP
Answer:
x = 15
Step-by-step explanation:
Put the given information in the equation and solve for the variable.
3 = 4/5x - 9
12 = 4/5x . . . . . . . . . . . . . . add 9 to get the x term by itself
(5/4)(12) = (5/4)(4/5)x . . . . multiply by the inverse of the x coefficient
15 = x
When a number is divided by six the result is -2 the number is
Answer:
The number is -12
Step-by-step explanation:
let the number = x
x/6 = -2
x = -2 x 6
x = -12
the number is -12
An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?
Answer:
x+x+7-x=44
x+7=44
x=44-7
x=37
if L is parallel to M, find the value of each missing variable(s)
Answer:
5. x = 13
6. x = 11; y = 3
Step-by-step explanation:
5. (9x + 2)° = 119° (alternate interior angles are congruent)
[tex] 9x + 2 = 119 [/tex]
Subtract 2 from each side
[tex] 9x + 2 - 2 = 119 - 2 [/tex]
[tex] 9x = 117 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{117}{9} [/tex]
[tex] x = 13 [/tex]
6. (9x + 25)° = (13x - 19)° (corresponding angles are congruent)
[tex] 9x + 25 = 13x - 19 [/tex]
Collect like terms
[tex] 9x - 13x = - 25 - 19 [/tex]
[tex] -4x = -44 [/tex]
Divide both sides by -4
[tex] \frac{-4x}{-4} = \frac{-44}{-4} [/tex]
[tex] x = 11 [/tex]
(13x - 19)° + (17y + 5)° = 180° (linear pair)
[tex] 13x - 19 + 17y + 5 = 180 [/tex]
Plug in the value of x and solve for y
[tex] 13(11) - 19 + 17y + 5 = 180 [/tex]
[tex] 143 - 19 + 17y + 5 = 180 [/tex]
Collect like terms
[tex] 129 + 17y = 180 [/tex]
Subtract 129 from both sides
[tex] 129 + 17y - 129 = 180 - 129 [/tex]
[tex] 17y = 51 [/tex]
Divide both sides by 17
[tex] \frac{17y}{17} = \frac{51}{17} [/tex]
[tex] y = 3 [/tex]
your cell phone plan cost $24.99 per month plus $0.12 for each text message you send or receive. you have a most $30 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
10 points
Answer:
The maximum number of text messages you can send per month would be 41.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.12, so that would need a variable since it can change each month. You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.12x+24.99≤30 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.12x≤5.01
3. Now, divide each side by 0.12. Now your inequality is x≤41.75. This represents how many text messages you can send per month without going over 30.
4. Finally, you have to realize that is impossible to send exactly 41.75 text messages. So, you have to round down to 41 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
Answer:
41 text messages
Step-by-step explanation:
A weather balloon ascended from an elevation of 18 feet below sea level to an elevation 19 1/2 feet above sea level. What distance dd the weather balloon rise?
Answer:
The ballon rose a distance of 37 1/2 feet
Step-by-step explanation:
Here, we are interested in calculating the level of ascent of the weather balloon.
From the question, we are told that the ballon made a transition from below the sea to above the sea.
Now to calculate the total distance, we shall
be adding the distances below the sea and the distances above;
Mathematically, that would be;
18 feet + 19 1/2 feet = 37 1/2 feet
What is the answer this probelm
Answer:
heya this is your answer
Step-by-step explanation:
1) angle 1 = angle EAB
2) angle 3 = 55 degree
3) angle ABF = angle 2 + angle 3
= 90 degree + 55 degree
= 145 degree
plz mark me as brainliest
Solve with Foil, and show work (4x+3) (5x-4)
Answer:
[tex]20x^{2} + 12x -28[/tex]
Step-by-step explanation:
(4x+3) (5x-4)
= [tex]20x^{2} -16+15x-12[/tex]
(multiply 4x with (5x-4) and multiply 3 with (5x-4) )
= [tex]20x^{2} + 12x -28[/tex]
(rearrange the numbers and subtract 12 from -16)