Calculate the indicated function values in the following problems. Simplify your answers.
Answers
Answer:
14) [tex]f(10) = 10[/tex], 15) [tex]f(-2) = -2[/tex], 16) [tex]f(a) = a[/tex], 17) [tex]f(a+b) = a+b[/tex], 18) [tex]g(10) = 38[/tex], 19) [tex]g(-2) = -22[/tex], 20) [tex]g(a) = 5\cdot a - 12[/tex], 21) [tex]g(a+b) = 5\cdot a +5\cdot b -12[/tex]
Step-by-step explanation:
Let [tex]f(x) = x[/tex] and [tex]g(x) = 5\cdot x - 12[/tex], we proceed to resolve on each case:
14) [tex]f(10)[/tex]
[tex]f(x) = x[/tex]
[tex]f(10) = 10[/tex]
15) [tex]f(-2)[/tex]
[tex]f(x) = x[/tex]
[tex]f(-2) = -2[/tex]
16) [tex]f(a)[/tex]
[tex]f(x) = x[/tex]
[tex]f(a) = a[/tex]
17) [tex]f(a+b)[/tex]
[tex]f(x) = x[/tex]
[tex]f(a+b) = a+b[/tex]
18) [tex]g(10)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(10) = 5\cdot (10) -12[/tex]
[tex]g(10) = 38[/tex]
19) [tex]g(-2)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(-2) = 5\cdot (-2) -12[/tex]
[tex]g(-2) = -22[/tex]
20) [tex]g(a)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(a) = 5\cdot a - 12[/tex]
21) [tex]g(a+b)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(a+b) = 5\cdot (a+b) -12[/tex]
[tex]g(a+b) = 5\cdot a +5\cdot b -12[/tex]
Related Questions
There are 4 colors of Starburst flavors: yellow, pink, red, and orange. If the probability of getting an orange is 2 5 2 5 , yellow is 1 10 1 10 , and the probability of getting red is 3 10 3 10 , what is the probability of getting pink?
Answers
Answer: 1/5
Step-by-step explanation:
From the question, we are informed that there are 4 colors of Starburst flavors: yellow, pink, red, and orange. We are further told that the probability of getting an orange is 2/5, yellow is 1/10 , and red is 3/10.
The probability of getting pink would be:
= 1 - [P(orange) + P(yellow) + P(red)]
= 1 - (2/5 + 1/10 + 3/10)
= 1 - (4/10 + 1/10 + 3/10)
= 1 - 8/10
= 2/10
= 1/5
What is the value of x in the solution to this system of equations?
3 x-5 y= 22
y=-5 x + 32
Answers
Answer:
6.4
Step-by-step explanation:
The intersection point of 3x-5y=22 and y=-5x+32 is (6.4,0) on a graph, therefore, "x"=6.4
100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question question
explains why preparing meals in space is more complicated than preparing meals on Earth. (respond directly )
Answers
Answer:
because in space there is something called microgravity. eating in mirco gravity can be very hard. salt and peppers just float away. and that can clog the air vents and go into astronauts nose and eyes.
Step-by-step explanation:
have a wonder ful day
Carlos has a box full of 48 brown, 3 yellow, and 2 orange toy blocks. Determine how likely it is for Carlos to randomly select each color toy block from the box. Select Unlikely, Neither Likely nor Unlikely, or Likely for each color toy block.
Answers
Answer:
likely nor unlikely
Step-by-step explanation:
carlos can pivk any
It is likely for Carlos to randomly select a brown block, but unlikely for him to randomly select a yellow or orange block.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
For each color, we can determine the probability of selecting that color by dividing the number of blocks of that color by the total number of blocks in the box:
Brown: 48 blocks out of 53 total blocks = 48/53
≈ 0.91, which is Likely.
Yellow: 3 blocks out of 53 total blocks = 3/53
≈ 0.06, which is Unlikely.
Orange: 2 blocks out of 53 total blocks = 2/53
≈ 0.04, which is Unlikely.
Therefore, it is likely for Carlos to randomly select a brown block, but unlikely for him to randomly select a yellow or orange block.
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Does this look correct? Please tell the truth.
Answers
Answer:
Yea it does
Step-by-step explanation:
Answer:
it looks right to me
Step-by-step explanation:
Justin is 2 years older
than 1/4 his brothers age.
Brother's age = 12
Justin's age =
A. 10
B. 6
C. 5
Answers
5
Explanation:
1/4 of 12 = 3
2 + 3 = 5
3x + 6 < 2x - 5
How to solve
Answers
Answer:
x<-11
Step-by-step explanation:
3x+6<2x-5
subtract the far x to gather
1x+6<-5
subtract singles
1x<-11
simplify
x<-11
A crew is made up of 12 men the rest are women. 40% of the crew are men. How many women are in the crew.
Answers
Answer:
Step-by-step explanation:
let nr of women be x
12 men represents 40%
?women represents 100%
12*100/40=30
30 women and 12 men are in the crew
x square+4x+4 factories that
Answers
Answer:
(x+2) (x+2)
Step-by-step explanation:
X^2+4x+4
X^2+2x+2x+4
x(x+2) +2(x+2)
(x+2) (x+2)
Which equations represent functions?
Answers
Answer:
4x =16
Step-by-step explanation:
Hope this helps :)
6/100 equals what as a decimal?
Answers
Answer:
0.06
Step-by-step explanation:
hope this helps
6 divide by 100= 0.06
Answer:
Step-by-step explanation:0.06
mortar is made by mixing water cement and sand in the following ratio 1 : 2 : 3 . how much of each component is needed to make 3kg of mortar
Answers
Answer:
To make 3 kg of water, we need
0.5 kg water
1 kg cement
1.5kg sand
Step-by-step explanation:
Here, we want to calculate the mass of each component needed to make 3 kg of mortar
We work with the ratio
Total ratio is:
1 + 2 + 3 = 6
water
1/6 * 3kg = 0.5 kg
cement
2/6 * 3 kg = 1 kg
sand
3/6 * 3 = 1.5 kg
Vertx: (3, 1)
Focus: (3,-1)
Answers
Answer:
i need help with this one two
Step-by-step explanation:
.
This, I need the answer to this
Answers
Answer:
Cos60=x/11
X=5.5cmmmmmmmmmmmm
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).
Answers
Answer:
i don t this topic because i am the secundary
Step-by-step explanation:
.
The value of rocket's distance will be 51.66.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.
Now,
Since, When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.
And, The figure is shown the right triangle.
So, We can apply the Pythagoras theorem as;
⇒ x² = 50² + 13²
⇒ x² = 2500 + 169
⇒ x² = 2669
⇒ x = √2669
⇒ x = 51.66
Thus, The value of rocket's distance will be 51.66.
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Which of the following is the correct factorization of the polynomial below?
2x2. 12x + 18
A. 2(x-3)2
B. 2(x + 6)(x+3)
C. (2x + 6)(x+3)
D. The polynomial is irreducible.
Answers
Answer:2(x-3)2
Step-by-step explanation:
Solve the system of linear equations by elimination.
8x - 5y = 11
4x – 3y = 5
Answers
8x - 5y = 11
4x - 3y = 5
Answer:
12x - 2y = 16
f(x)= -3x+20
find f (5)
Answers
Answer:
f(5)=5
Step-by-step explanation:
plug in 5 for x
-3(5)+(20)
-15+20
=5
1. 8 feet to 10 feet *
Answers
Answer:
ratio 8:10
Step-by-step explanation:
the ratio is 8:10
Answer:
as a ratio 8:10
Step-by-step explanation:
The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.
Answers
Answer:
[tex]Height = 40[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]Area = 10cm^2[/tex]
[tex]Base = \frac{1}{2}cm[/tex]
Required
Determine the height
Area of a triangle is calculated as:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Substitute values for Area and Base
[tex]10= \frac{1}{2} * \frac{1}{2}* Height[/tex]
[tex]10= \frac{1}{4}* Height[/tex]
Multiply both sides by 4
[tex]4 * 10= 4 * \frac{1}{4}* Height[/tex]
[tex]4 * 10= Height[/tex]
[tex]40= Height[/tex]
[tex]Height = 40[/tex]
Hence, the height is 40cm
Someone help pls I'll give BRAINLIEST
Answers
Answer:
An obtuse triangle has one angle larger than 90 degrees (deg). Given information, the two base angles EDF and EFD are represented by one variable x, therefore they are equal.
The sum of all angles of any triangle is 180 deg so angles EDF + EFD + DEF = 180 deg
Since the obtuse angle must be larger than 90 deg, the sum of the other two angles must be less than 90.
Angles EDF + EFD < 90 and 90 < DEF can be re written
An inequality of angles EDF + EFD < DEF
Since angles EDF and EFD are equal to x their sum is (x + x) or 2x, so we can write
2x < 90 divide both sides by 2
{0 < x < 45} is all possible values of x.
A function can be written to represent this. The function will accept input of the obtuse angle and output the two equal acute angles.
F(x) = (180 - x) / 2
where x is the measure of the obtuse angle. Only works for symmetric triangle. F(x) is the measure of each of the other two angles.
What is the area of the base of the cone?
A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.
B = pi r squared
18 pi centimeters squared
81 pi centimeters squared
225 pi centimeters squared
324 pi centimeters squared
Answers
Answer:
81 pi centimeters squared
Step-by-step explanation:
Area of circle = πr²
18/2 = 9
π9²
π(9 x 9)
π81
ANSWER ASAP PLEASE I REALLY NEED HELP
Answers
Answer:
y = 1/2x + 4
Step-by-step explanation:
What is equivalent to 9/7 ?
Answers
Answer:
1.28571428571
Step-by-step explanation:
9/7+1.2 in all
Answer:
18/14
Step-by-step explanation:
9/7 x 2/2 = 18/14
Turn 5-3(x+1)=2y-3x+2 into y=mx+b form
Answers
Answer:
Y=0
Step-by-step explanation:
We can write the given equation in the form of y = mx + b as -
y = 0x + 0.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is an expression as -
5 - 3(x + 1) = 2y - 3x + 2
The given expression is -
5 - 3(x + 1) = 2y - 3x + 2
5 - 3x - 3 = 2y - 3x + 2
2 - 3x = 2y - 3x + 2
2 - 3x + 3x - 2 = 2y
2y = 0
y = 0
y = 0x + 0
Therefore, we can write the given equation in the form of y = mx + b as -
y = 0x + 0.
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Colin gets £r wages each week. After he pays his tax of £t, he then pays his rent of £190. He
shares whats eft between himself and his wife. How much do they each get?
Answers
Answer:
[tex]\frac{r-t-190}{2}[/tex]
Step-by-step explanation:
Turn it into an equation
[tex]\frac{r - t - 190 }{2}[/tex] = There share
9+9y=
9y-9=
9(y-1)=
9(y+1)=
9y+1=
1+9y=
Answers
Answer:
Step-by-step explanation:
9+9y=18y
9y-9= y
9(y-1)=9y−9 simplifed
9(y+1)=9*1y
9y+1=10y
1+9y=10y
sorry if I got some wrong I tried my best.
whiuch value makes the following equation true 2(x+8)= x+20
Answers
Answer:
x = 4
Step-by-step explanation:
2(x + 8) = x + 20
2x + 16 = x + 20
-x -x
x + 16 = 20
-16 -16
x = 4
Answer:
x=4
Step-by-step explanation:
2x + 16 = x + 20
-x -x
1x + 16 = 20
- 16 = -16
1x = 4
1 1 = 4 (x=4)
Justin got a gift card to Cold Stone Creamery. Every time he goes, he gets an ice cream sundae, and it costs $6.75. If he bought 4 ice cream sundaes, what number shows the change in value on his gift card?
Answers
Answer:
27
Step-by-step explanation:
27, because 6.75*4=27
WILL GIVE BRAINLIEST!!!!!!!!!!!
Answers
Answer:
hey i am
please mark me as brainlist
