The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.
Given :
[tex]f(x) = 3x\\g(x) = 5x[/tex]
The following steps can be used in order to determine the expression of (fog)(x):
Step 1 - Write the given function.
[tex]f(x) = 3x\\g(x) = 5x[/tex]
Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).
[tex](fog)(x)=3\;g(x)[/tex]
[tex](fog)(x)=3\times 5x[/tex]
Step 3 - Simplify the above expression.
[tex](fog)(x)=15x[/tex]
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].
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What’s the correct answer for this? Select the ones that apply
Answer:
A: -2
B: -10
Step-by-step explanation:
A: the slope of line b is -2
B: Point: (-6,2)
So x= -6 and y = 2
Putting in slope intercept formula for finding b
y=mx+b
2=(-2)(-6)+b
2= 12 + b
b = 2-12
b= -10
The y-intercept of line b is -10
There are 12 inches in 1 foot. Write 75 inches in feet and inches
Answer:6.25
Step-by-step explanation:
Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?
Explain your thinking here:
write your answer here:
Answer:
10
Step-by-step explanation:
3+2 = 5
5x2 (Because only half cups)
= 10
PLS HELP ASAP !!!! Giving brainlist!
First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.
Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.
Answer:
1) Associative property
2) Commutative property
Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?
Answer:
Have them 4 by 5.
Step-by-step explanation:
If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.
For example, (The "o" is a chair)
OOOOO
O
O
O
As you see the the top are the 5 chairs, then side are are the 4 chairs.
Then, you will do the exact same thing but on the opposite side.
Here is the next example.
OOOOOO
O O
O O
O O
OOOOOO
Basically, arranging the chairs 4x5, it would make a rectangle.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. x=2 ± √13
Explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?
Answer:
6 and 8
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches.
To find the length of one of the legs, we use the idea of Pythagorean Triples.
Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:
3, 4 and 55, 12 and 139, 40 and 41Note that in a Pythagorean Triple,
The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.In our given triangle, the Hypotenuse=10 Inches
Consider the Pythagorean Triple 3,4, and 5
5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.
Please Help Now!!!!!!!!!!!!!
Answer:
94
Step-by-step explanation:the sum of thereprobablityin fraction is
1/9+5/6=2+15/18 {{takin LCM OF 6 and 9}
=17/18
probablity in percentage =17/18×100
=94%
hope this helps
plz mark me brainliest
Answer:
95
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x2 + 8x - 2 ?
(-4, 18)
(0, -2)
(-8, -2)
(-4, -18)
Answer: (-4,-18)
Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.
The vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
What is the vertex of the graph of a quadratic function?In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,
Given that:
f(x) = x² + 8x - 2
where;
a = 1b = 8c = - 2By using the vertex formula to find the x-value;
[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]
[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]
x = -4
So,
y = (-4)² + 8(-4) - 2
y = 16 -32 -2
y = -18
Therefore, the vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
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If 2 pounds of steak can serve 5 people how many pounds will serve 13 people
Step-by-step explanation:
wait sorry that was wrong
Answer:
5.2
Step-by-step explanation:
The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
Step-by-step explanation:
-6x + 6y = -12
6x + 6y = -36
12y = -48
y = -4
3x - 12 = -18
3x = -6
x = -2
(-2, -4)
find the value of x in the triangle shown below
Answer:
..........
Step-by-step explanation:
x + 114 + 33 = 180
x= 33
Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?
Answer:
1.5x+4
Step-by-step explanation:
Step-by-step explanation:
Step 1: Distribute
[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]
[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]
[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]
Step 2: Combine like terms
[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]
[tex]1.5x + 4[/tex]
Answer: [tex]1.5x + 4[/tex]
What is the disciminant of 3x^2-10x=-2
Answer:
76
Step-by-step explanation:
First get the equation into the form
ax^2 +bx+c =0
3x^2-10x+2=-2+2
3x^2-10x+2 =0
The discriminant is
b^2 -4ac where a=3 b = -10 c =2
(-10)^2 - 4(3)(2)
100 - 24
76
how do i solve 4/5 divided by 3/4
what is the answer please help
Answer:16/15 or 1 1/15
Step-by-step explanation:
4/5 ➗ 3/4
4/5 x 4/3
(4 x 4) ➗ (5 x 3)
16 ➗ 15=16/15 or 1 1/15
100 POINTS
PLEASE PROVIDE STEPS.
THANK YOU!!!
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
f(x) = sin x
The average value of a function between x=a and x=b is:
avg = 1/(b−a) ∫ₐᵇ f(x) dx
avg = 1/(π−0) ∫₀ᵖⁱ sin x dx
avg = 1/π (-cos x) |₀ᵖⁱ
avg = 1/π (-cos π − (-cos 0))
avg = 1/π (1 + 1)
avg = 2/π
h(x) = x⁴/12 − x²/6
Find the second derivative.
h'(x) = x³/3 − x/3
h"(x) = x² − ⅓
Factor using difference of squares.
h"(x) = (x − 1/√3) (x + 1/√3)
h"(x) = 0 when x = ±1/√3. Evaluate the sign of h"(x) in each interval.
-∞ < x < -1/√3, h"(x) > 0.
-1/√3 < x < 1/√3, h"(x) < 0.
1/√3 < x < ∞, h"(x) > 0.
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
The length of a rectangle is seven less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.
Answer:
Length is 3 meters and the Width is 5 meters
Step-by-step explanation:
L*W=15
L=2W-7
(2W-7)W=15
[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]
(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.
W=5, L=3
Translate to an equation, then solve.
Nineteen less than eight times a number is equal to 11 more than six times the number. What is the number?
Answer:
Step-by-step explanation:
8x - 19 = 6x +11
2x - 19 = 11
2x = 30
x = 15
Answer:
c
Step-by-step explanation:
Gymnastics lessons cost $10 per session, plus a one-time fee of $25. Shawn went to 7 sessions. Write an equation that can be used to find how much Shawn paid ?
Answer: y=10x+25
y=10(7)+25
=70+25
=$95
Step-by-step explanation:
g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer
Answer:
32
Step-by-step explanation:
g(x) = 4x² - 3x + 7
g(3) = 4(3)² - 3(3) + 7
g(3) = 4(9) - 9 + 7
g(3) = 36 - 9 + 7
g(3) = 25 + 7
g(3) = 32
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem
Answer:
Step-by-step explanation:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
Answer:1.225km is equal to each laps
Step-by-step explanation:
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
4 ÷ 1/5 = 20 because
Step-by-step explanation:
BECAUUUUSE ;
[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]
Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.
Step-by-step explanation:
4 ➗ 1/5
4 x 5/1=20
Help timed test! At which root does the graph...
Answer:
x = -2
Step-by-step explanation:
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
if you had a sale price of $40 and the percent of your discounts 25% what was the original price.
Answer:
$ 50
Step-by-step explanation:
Original price = Sale price + discount
= 40 + 25% of 40
= 40 + 0.25 * 40
= 40 + 10
Original price = $50
The graph of the invertible function f is shown on the grid below.
What is the value of f -1(6)?
We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of [tex]y=f(x)[/tex].
We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.
So to find inverse of a function we need to switch all x and y values.
We can see that [tex]f(4)=6[/tex], so to to find value of [tex]f^{-1}(6)[/tex], we have to switch x and y values.
After switching x and y values, we will get:
[tex]f^{-1}(6)=4[/tex]
Therefore, [tex]f^{-1}(6)=4[/tex].
Answer:
4
Step-by-step explanation:
Can someone help me please
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)
Answer:
32
Step-by-step explanation:
you just have to divide 131/4 to get 32.75 but they all have to be equal
Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.
Thus, the number of biscuits she should give to each of her poodles is,
Number of biscuits each poodle gets
= Number of biscuits / Number of poodles
= 131 / 4
= 32.75
Hence, the number of biscuits that each of the four poodles will get is 32.75.
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Plz help me find the area of this polygon
Answer:
It is 4
Step-by-step explanation: To find the area you multiply the numbers.
