Answer:
g(f(-10)) = -22
General Formulas and Concepts:
Compositions of FunctionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 10
g(x) = x - 2
f(-10) is x = -10
Find g(f(-10))
Step 2: Solve:
Find f(-10). Substitute: f(-10) = 3(-10) + 10Multiply: f(-10) = -30 + 10Add: f(-10) = -20Substitute: g(-20) = -20 - 2Subtract: g(-20) = -22If you apply the changes below to the absolute value parent function, fx) = x
what is the equation of the new function?
• Shift 5 units to the left.
• Shift 4 units down.
A. g(x) = 5x + 41 - 5
B. g(x) = 1x - 51 - 4
C. g(x) = 5x + 51 - 4
D. g(x) = 1x - 41 - 5
The required function after shifting its origin will be g(x) = |x + 5| - 4.
What is Shifting of Origin?
To shift the coordinates of origin to (h,k): Replace x by (x-h) and y by (y-k) in the given equation and get the new equation.
Here, given function f(x) = |x|
or y = |x|
Now, Shift 5 units to the left. x replaces with x - (-5) = x + 5
Shift 4 units down, y replaces with y -(-4) = y + 4
Now equation after shifting ,
y - k = | x - h|
y = |x -h| + k
y = |x - (-5)| +(-4)
g(x) = |x+5|-4
Thus, The required function after shifting its origin will be g(x) = |x + 5| - 4.
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Answer:
Step-by-step explanation:
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
[tex]P(P)=P(P|S)P(S)+P(P|S')P(S')[/tex]
[tex]=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60[/tex]
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
[tex]P(S|P')=\frac{P(P'|S)P(S)}{P(P')}[/tex]
[tex]=\frac{0.20\times 0.60}{0.40}\\\\=0.30[/tex]
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Use the bar model to add these fractions
Answer:
Not Sure how to solve this...
Step-by-step explanation:
BUT
5 minutes is equal to [tex]\frac{1}{12}[/tex]
10 minutes is equal to [tex]\frac{1}{6}[/tex]
15 minutes is equal to [tex]\frac{1}{4}[/tex]
30 minutes is equal to [tex]\frac{1}{2}[/tex]
What is Multiplying polynomials?
Answer:
Polynomial multiplication is a process for multiplying together two or more polynomials.
Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =
Answer:
g(x)= x2
Step-by-step explanation:
g(x)=x2 = f(x)=x2
The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function [tex]\rm g(x) = 2(x+4)^2[/tex].
Given :
[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of [tex]f(x) = x^2-2x+1[/tex].The following steps can be used to determine the rule for g:
Step 1 - Rewrite the given function f(x).
[tex]\rm f(x) = (x-1)^2[/tex]
Step 2 - Now, the graph is stretched vertically by a factor of 2.
[tex]= 2(x-1)^2[/tex]
Step 3 - Now, reflect the graph about the y-axis.
[tex]=2(-x-1)^2[/tex]
[tex]=2(x+1)^2[/tex]
Step 4 - Now, move to the left by 3 units.
[tex]=2(x+3+1)^2[/tex]
[tex]=2(x+4)^2[/tex]
Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].
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5. Two blueberry farms are similar in shape. The ratio of the side lengths of
the farms is 5:6, and the smaller farm has a perimeter of 360 yards. The
cost to dig a trench is $0.75 per yard. What is the cost to dig a trench
around the larger blueberry farm?
Answer:It would cost $270 to dig
Step-by-step explanation:<!>Brainliest Apprecatied<!> :D
Answer: $324
Step-by-step explanation:
For this question, many people think the answer is 270, but that's wrong.
Since the ratio is 5:6 and the smaller farm perimeter we can put that into an ratio equation.
x will be the perimeter of the bigger farm
5/6=360/x
5x=2160
5x/5=2160/5
x=432 yards
That's the perimeter, now to find the cost it would be 432*0.75 which is $324.
14/25, 13%, 0.28, 7%, 21/100, 0.15 from least to greatest
Answer:
7%, 0.28, 0.15, 13%, 21/100, 14/25
Step-by-step explanation:
Hope this is right :)
The temperature in Fairbanks, Alaska, changed from 0F at 6 pm to 4F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees . Which number line represents the temperature at 5 am
The number line extending towards -2 represents the correct number line.
What is number line?
A line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Given is the temperature in Fairbanks, Alaska, changed from 0 F at 6 pm to 4 F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees.
Between 6 pm and 11 pm : 4 - 0 = 4 F
The temperature at 5 AM would be : 4 F - 6 F = - 2 F
Therefore, the number line extending towards -2 represents the correct number line.
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On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
Answer: Number of 5-point question = 4
Number of 2-point questions =8
Number of 4-point question = 16
Step-by-step explanation:
Let x = Number of 5-points question.
then, Number of 2- point question = 2x
Also, Let y = Number of 4-point question.
Now, Total question : x+y+2x =28
⇒ 3x+ y =28 (i)
Total marks = 5x + 2 (2x)+4=100
⇒ 5x+4x+4y=100
⇒ 9x+4y=100 (ii)
Multiply 3 on both sides of (i), we get
9x+3y = 84 (iii)
Subtract (iii) from (ii), we get
y= 16
Put this in (i0, we get
3x+(16)=28
⇒ 3x = 12
⇒ x=4
Now, Number of 5-point question = 4
Number of 2-point questions = 2(4)=8
Number of 4-point question = 16
Answer
Answer: Number of 5-point question = 4
Number of 2-point questions =8
Number of 4-point question = 16
Step-by-step explanation:
Let x = Number of 5-points question.
then, Number of 2- point question = 2x
Also, Let y = Number of 4-point question.
Now, Total question : x+y+2x =28
⇒ 3x+ y =28 (i)
Total marks = 5x + 2 (2x)+4=100
⇒ 5x+4x+4y=100
⇒ 9x+4y=100 (ii)
Multiply 3 on both sides of (i), we get
9x+3y = 84 (iii)
Subtract (iii) from (ii), we get
y= 16
Put this in (i0, we get
3x+(16)=28
⇒ 3x = 12
⇒ x=4
Now, Number of 5-point question = 4
Number of 2-point questions = 2(4)=8
Number of 4-point question = 16
Step-by-step explanation: got the answer from the last person who answered and they are correct
3x +
9y = -27
x + y = -1
Answer:
(x, y) = (3, -4)
Step-by-step explanation:
A graphical solution is often quick and easy.
(x, y) = (3, -4)
_____
These equations can be solved algebraically by dividing the first by 3, then subtracting the second.
(3x +9y)/3 -(x +y) = (-27)/3 -(-1)
x +3y -x -y = -9 +1
2y = -8
y = -4
x = -1 -y = -1 -(-4) = 3 . . . from the second equation
The solution is (x, y) = (3, -4).
please im desperate like actually
Answer:
There are no solutions
Step-by-step explanation:
when you simplify it becomes 0>0 which is not solutions
find the distance between (-2,6) ,(4,8)
Answer:
[tex]\sqrt{40}[/tex] OR 6.324555
Remember to round accordingly if not intended to be answered in square root form!
Step-by-step explanation:
Use the distance formula
What is the solution to this inequality?
4x + 2 ≤ -14 or 3x − 5 > 16
Answer:
x≤−4 or x>7
Step-by-step explanation:
what is 2 3/4 - 5/16
Answer:
2 7/16
Step-by-step explanation:
multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.
Answer: 2 7/16
Step-by-step explanation: Your Welcome!
how many feet is 14 meters
Answer:
45 ft. 11.18 in.
Step-by-step explanation:
Answer:
45.93176 feet
Step-by-step explanation:
1 meter = 3.28084 feet
3.28084(14) = 45.93176 feet
Write the equation in standard form using integers.
Y=2x+5
Answer: x = - 5/2 five is on top and 2 is bottom
If 4 out of 5 People at the picnic are children and there are 24 children at the picnic,many adults are there?
Answer:
6
Step-by-step explanation:
4/5 of the people at the picnic are children. There are 24 children. So 24 is 4/5 of the whole. You ÷4 to find 1/4. This is 6. So you add on the 6 as 1/4 add 4/5 equals the whole number of people there are at the picnic, 5/5. 24 add 6 is 30 so there are 30 le e at the picnic, and 6 adults.
what is the y intercept of the table shown?
-1
1.5
-3
1
Answer:
-3
Step-by-step explanation:
the function increases by 2, so when you go backwards, the values will decrease by two hence, -3
3y – 28 > -9 solve the inequality
Answer:
[tex]y>\frac{19}{3}[/tex]
Step-by-step explanation:
[tex]3y-28>-9\\\\3y-28+28>-9+28\\\\3y>19\\\\\frac{3y>19}{3}\\\\ \boxed{y>\frac{19}{3}}[/tex]
Hope this helps.
What is the measure of angle A?
Answer: B. 15 degrees. Hope it helped you :) please mark as brainliest!
When Sam woke up at 6am the temperature was 72°f. When he got home from school at 3pm,the temperature was 90°f. What was the percent increase?
Answer:
80%
Step-by-step explanation:
Which line has a slope of 12 and a y-intercept of 2?
Answer: The bottom left picture.
Step-by-step explanation:
The graph shows the linear line crossing through 2 on the y-axis, therefore the y-intercept is 2. The graph also shows the line increasing by going up 1 and over 2, resulting in the slope of the line being 1/2.
How many cups of flour are needed to make three dozen dinner rolls
Answer:
85 rolls hdjsjs
Step-by-step explanation:
There's a lot
Answer:
85 rolls
Step-by-step explanation:
Plz brainlyest
A trampoline salesman makes $25,000 annually plus 6% commission on his total sales. If he sold $40,000 worth of trampolines this year, what are his total earnings? *
Multiply sales by 6%
40,000 x 0.06 = 2,400
Add that to his base pay:
2400 + 25000 = $27,400 total pay.
USE ESTIMATION Mr. Lycan is considering buying clay from two art supply companies. Company A sells 50-pound containers of clay for $24, plus $42 to ship the total order. Company B sells the same clay for $28, plus $25 to ship the total order. a. Write equations for the total cost of ordering clay from each company. b. Graph the equations on the same coordinate plane. Examine the graph to estimate how much Mr. Lycan would have to order for the cost of ordering clay from each company to be the same. c. Check your estimate by substituting into each original equation. How reasonable is your estimation? Justify your reasoning.
Answer:
y=$24x+$42 A
y=$28x×$25 B
Step-by-step explanation:
The required system of the equation is y = 42 + 24x and y = 25 + 28x, and a graph of the solution has shown.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
let x be the number of the 50 pounds containers of clay ordered.
According to the question,
For company A,
y = 42 + 24x - - - - (1)
For company B,
y = 25 + 28x - - - - (2)
Equating both the equation,
42 + 24x = 25 + 28x
17 = 4x
x = 17 / 4
x = 4.25
Put this value in equation 1
y = 42 + 24(4.25)
y = $144
Thus, the required system of the equation is y = 42 + 24x and y = 25 + 28x, and a graph of the solution has shown.
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An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the rate of change?
In a recent year, about 20,700,000 passengers traveled by train in the United States. What is this number
written in scientific notation?
A
2.07 x 108 passengers
B
2.07 x 104 passengers
C
2.07 x 107 passengers
D
2.07 x 10
passengers
2) Jimmy was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought five more. How many did
he start with if he now has 29?
(accidentally selected math)
Which of the following is not a function of the skin?
water proofing
contraction
vitamin D production
eliminating urea and ammonia
All of the following are functions of the subcutaneous fat except ____. *
padding
insulation
blood storage
energy storage
Answer:
The Vitamin D is good for the girls
Step-by-step explanation:
Can someone help me with the answer please
Answer:
D - x^2 + 9x +14
Step-by-step explanation:
I typed it into a problem solving website