Answer:
g[f(x)] = -2(3 - x) = -6 + 2x
Step-by-step explanation:
When we substitute the function f(x) for x in g(x) = -2x, we get the composition g[f(x)]:
g[f(x)] = -2(3 - x) = -6 + 2x
Final answer:
To find g[f(x)], we substitute (3 - x) from f(x) into g(x). The solution to g[f(x)] is -6 + 2x.
Explanation:
The question asks us to find the composition of the functions f(x) and g(x), specifically g[f(x)]. To do this, we first evaluate f(x) and then use that result as the input for g(x).
Given that f(x) = 3 - x, we substitute x in g(x) for the entire function f(x).
g(f(x)) = g(3 - x) since g(x) = -2x.
Now we replace the x in g(x) with (3 - x): g(3 - x) = -2(3 - x).
This simplifies to g(f(x)) = -6 + 2x.
The composition g[f(x)] is therefore -6 + 2x.
ankur bought a toy for rs 130 and sold it to his friends for 150 .profit incurred by him is
Answer:
Rs 20
Step-by-step explanation:
Profit = selling price - cost price
= 150 - 130
= Rs 20
If 6,000 people voted in the election. How many were from 18 to 29 years old?
The answer would be 600 because 10% of 6,000 is equal to 600
What does it mean to divide figures into known shapes
Dividing figures into known shapes in mathematics helps simplify complex shapes and analyze their properties effectively.
Dividing figures into known shapes involves breaking down complex figures into simpler, identifiable shapes such as squares, rectangles, triangles, or circles.
This process is commonly used in geometry to analyze and understand the properties of irregular shapes by partitioning them into known geometric shapes.
By dividing figures into known shapes, mathematicians can apply specific formulas and principles to calculate areas, perimeters, and other geometric attributes accurately.
Above are two different models of the same rectangle. If the width of the model on the left is 13.75 in, what is the width of the model on the right?
A.
13.25 in
B.
22 in
C.
4.58 in
D.
5 in
The width of the model on the right is 4.58 in.
The scale factor between the two models is 13.75 in / 22 in = 5/8.
The width of the model on the right is 13.75 in * 5/8 = 8.59 in.
Therefore, the answer is C. 4.58 in.
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Round 48,425 to the nearest thousand.
The hood above the stove in a restaurant kitchen is filled with fans and other ventilation parts.
How much space is there inside the empty hood?
8 feet cubed
12 feet cubed
36 feet cubed
38 feet cubed
Answer:
B.12 feet cubed
Step-by-step explanation:
We are given that
Height of prism,h=4 feet
Base of triangle,b=3 feet
Height of triangle=l=2 feet
Area of triangular base,B=[tex]\frac{1}{2}bl[/tex]
Using the formula
Area of triangular base=[tex]\frac{1}{2}\times 3\times 2=3ft^2[/tex]
Volume of triangular prism=Bh
Using the formula
Volume of triangular prism=[tex]3\times 4=12ft^3[/tex]
There is 12 cubic feet space inside the empty hood.
Option B is true.
Answer:
B. 12 feet cubed is correct!
Step-by-step explanation:
Hope this helps! :)
What is the sign of B
+ A?
Choose 1 answer
Positive
Negative
Neither positive nor negative- the sum is zero
The sign of B is positive.
What is the graph?The graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.
Determining:According to the given figure point, B is above the origin.
So it will be positive.
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To determine the sign of the sum of two numbers, we need to consider the signs of the individual numbers (A and B) involved in the sum.
1. If both numbers are positive, their sum is also positive.
2. If both numbers are negative, their sum is also negative.
3. If one number is positive and the other is negative:
- If the positive number has a greater absolute value than the negative number, the sum is positive.
- If the negative number has a greater absolute value than the positive number, the sum is negative.
- If both numbers have the same absolute value, the sum is zero.
The question only presents the expression "B + A" without any information regarding the values or signs of A and B. Therefore, without additional information, it's impossible to determine the sign of their sum. The sum could be positive, negative, or zero depending on the values (and their respective signs) of A and B. Consequently, we cannot choose any of the options above with certainty.
For a complete answer, we would need more details about the values of A and B.
Please help with the math equations in the photo
mr williamson bought 4 boxes of chewy granola bars in five boxes of crunchy granola bars. Each box contains the same number of granola bars. He took all 72 granola bars to a class picnic. How many granola bars are in each box?
Answer:
8
Step-by-step explanation:
Total amount of boxes is 9 so divide the total number of boxes into the total granolas. So 72/9=8
Answer:
Step 1: Write an equation.
✔ 4x + 5x = 72
Step 2: Identify and combine like terms.
✔ 9x = 72
Step 3: Use the properties of equality and inverse operations to solve the equation.
✔ x = 8
What is the constant in this expression? m minus 4 n + 3.5 + StartFraction 4 over 5 EndFraction p m Negative 4 n 3.5 StartFraction 4 over 5 EndFraction
Answer:
m-4n+3.5+4/5pm-4n3.54/5, Can you make the question more readable, or can you actually put fractions is the question? I WILL REVISE MY ANSWER
Step-by-step explanation:
currently the constant is 3.5
The Constant in this expression m - 4n + 3.5 + 4/5 is 3.5 and 4/5.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Given:
Expression: m - 4n + 3.5 + 4/5
The terms in an expression is m, -4n, 3.5 and 4/5.
As, the constant is the number whose value does not change in remain constant and is without variable.
Thus, the constant is 3.5 and 4/5.
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Amber is on a family cell phone plan with the other 3 members of her family. The family gets 840 shared cell phone minutes a month, and each family member is limited to his or her equal share of the minutes. The only free calls are calls between family members.
How many minutes per day can Amber talk on her cell phone with her friends during a 30-day month, without going over her share of the minutes?
Answer:
this confuses me
Step-by-step explanation:
What is the volume of a cube on which each face has a diagonal of 12.8 inches? (round to nearest tenth)
A) 741.2 in3
B) 1,048.6 in3
C) 1,482.9 in3
D) 2,097.2 in3
Final answer:
To find the volume of a cube with each face diagonal of 12.8 inches, calculate the side length using the diagonal length, then find the cube volume using the side length cubed. The volume is approximately 741.2 cubic inches.
Explanation:
Volume of a Cube:
To find the volume of a cube where each face has a diagonal of 12.8 inches, we first need to calculate the length of a side of the cube using the diagonal length. The formula for the diagonal of a face of a cube is √2 times the side length. Thus, side length = diagonal length / √2. Then, we can find the volume of the cube by cubing the side length.
Calculation:
Side length = 12.8 / √2 = 9.04 inchesVolume = [tex](9.04)^3[/tex] = 741.2 cubic incheswhat’s the size of the missing angle
Answer:
23 so the First one or A.
Step-by-step explanation:
ALL triangles angles should add up to 180 so 22+135=157
So... 180-157=23 which equals the third angle measure
18.08 3 s .f please help
Answer:
18.1
Step-by-step explanation:
Since we are to round up to 3 significant figures
18.08
But since 8 is greater than 5 it can be converted to 1
So add 1 to 0 to 1
So rounding 18.08 to 3 SF
=18.1
PLEASE HELP!!
At certain times of the year, about 70% of airline flight delays are caused by bad weather. During those times, about 50% of all flights experience bad weather, and about 25% of all flights are delayed.
Given these percentages, if the weather is good, what is the probability that your flight will be delayed?
About 35%
About 20%
About 15%
Answer:
About 15%
Step-by-step explanation:
Since the weather is good, this means that 500 flights are affected because 50% of the flights experience good weather and 50% of the flights experience bad weather.
there will be 75 flights that are delayed due to causes other than bad weather
if you assume that all of the flights that are not caused by bad weather occur in good weather, then the probability would have to be 75 / 500 = .15 = 15%.
Answer:
I believe is 35%
Step-by-step explanation:
5x(f-32)divided by 9 for f = 95
Answer:
35x
Step-by-step explanation:
[tex]5x(f - 32) \div 9 \\ = \frac{5x(f - 32)}{9} \\ = \frac{5x(95 - 32)}{9} \\ = \frac{5x \times 63}{9} \\ = 5x \times 7 \\ = 35x[/tex]
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the volume of the rectangular prism?
A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.
Please answer ASAP! I've been stuck on this problem for hours.
Answer:
[tex]V=416\ mm^3[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is given by the formula
[tex]V=LWH[/tex]
we have
[tex]L=10.4\ mm\\W=5\ mm\\H=8\ mm[/tex]
substitute in the formula
[tex]V=(10.4)(5)(8)=416\ mm^3[/tex]
The volume of the rectangular prism is [tex]416\ mm^3[/tex]
Calculation of the volume of the rectangular prism:Since A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.
So here the volume is
= (10.4) (5) (8)
= [tex]416\ mm^3[/tex]
Here we multiplied all three things to get the volume
hence, The volume of the rectangular prism is [tex]416\ mm^3[/tex]
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How do you factor 6x^2+x+2
Answer:
[tex]6x^{2} +x + 2[/tex] cannot be factored
Step-by-step explanation:
The equation cannot be simplified so you have to use the quadratic formula
and you will get imaginary numbers from the formula
A regular heptagon has a side length of 13.9 and an apothem of 14.4. Find the area of the regular heptagon. Round your answer to the nearest WHOLE NUMBER. ?
Answer: 701
Step-by-step explanation:
A heptagon has 7 sides, therfore a regular heptagon will have 7 equal sides
n = 7 (number of sides)
s = 13.9 (length of each sides of the heptagon)
r = 14.4 (The apothem)
The area of the regular heptagon can be calculated by:
Area = ½ n × s × r
Area = ½ × 7 × 13.9 × 14.4
Area = 700.56 square units
To the nearest whole number, will be:
Area = 701 square units
Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the
graph, then it must be the same function.
Which equation is a counterexample to Jeremy's argument?
Answer:
A
Step-by-step explanation:
In how many ways can four people sit in a car for a road trip if only two of them can drive?
Answer:
well lets put it in terms of A B C D
so if A and B are the only ones who can drive then we can figure out this pretty easily
ABCD ABDC ACBD ACDB ADCB ADBC
so that's 6 ways
and if B Drives that gives us another 6
so together thats 12
might be wrong have not been in middle school for a while
Which statement about the function is true? The function is positive for all real values of x where x>-4, . The function is negative for all real values of x where - 6 < x < - 2 . The function is positive for all real values of x where x < - 6 or x > - 3 . The function is negative for all real values of x where x < - 2
Answer:
B. The function is negative for all real values of x where
–6 < x < –2.
Step-by-step explanation:
Just took the test
Answer: B!!
Step-by-step explanation: i did on edge
5x-6>-6
what is the answer?
Hope this will help u....:)
Every Wednesday, Carla runs 2.5 miles. How many feet did she run?
Answer:
13,200 feet
Step-by-step explanation:
There are 5280 feet in a mile, so multiply 5280 by 2.5
5280*2.5=13,200
So, every Wednesday, she runs 13,200 feet
Hope this helps! :)
What is the value of y, given x=6 and the equation y= 0.5x + 7
Answer:
10
Step-by-step explanation:
y=(0.5)6+7
y=3+7
y=10
Answer:
the value is 10
Step-by-step explanation:
y = 0.5(6) + 7
y = 3 + 7
y = 10
A gardener is planting two types of trees:
Type A is 8 feet tall and grows at a rate of 6 inches per year.
Type B is 10 feet tall and grows at a rate of 4 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the same height.
Answer:
12 years
Step-by-step explanation:
8 feet = 96 inches
10 feet = 120 inches
96 + 6t = 120 + 4t
2t = 24
t = 12
The population of the town Star City in 2008 was estimated to be 45,000 people with an annual rate of increase of about 2.3%. What is the growth factor of Star City?
Final answer:
The growth factor of Star City is calculated by converting the rate of increase to a decimal and adding it to 1, resulting in a growth factor of 1.023.
Explanation:
The growth factor of Star City with an annual rate of increase of about 2.3% can be calculated as follows:
Identify the percentage of growth as a decimal by dividing the percentage by 100, which would be 2.3/100 = 0.023.
Add this decimal to 1 to find the growth factor: 1 + 0.023 = 1.023.
Therefore, the growth factor of Star City is 1.023.
lines p and q are parallel. what is the measure of angle 3 in degrees?
27°
33°
60°
153°
What are the solutions of 3(x – 4)(2x – 3) = 0? Check all that apply
Answer:
x= 3/2 or x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x−4)(2x−3)=0
Step 1: Simplify both sides of the equation.
6x2−33x+36=0
Step 2: Factor left side of equation.
3(2x−3)(x−4)=0
Step 3: Set factors equal to 0.
2x−3=0 or x−4=0
x= 3/2 or x=4
plz see the attachment