Answer:
(2x+1)^2 or 4x^2+4x+1
Step-by-step explanation:
I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1
You first need to find g(x) which is 2x+1
You then take the f(x) function and replace x with 2x+1
This means our new equation is
(2x+1)^2
Your teacher may or may not want you stop here, really only you know the answer to that
But if we expand this we'll find that (2x+1)^2=4x^2+4x+1
The equivalent expression of (f o g) is 4x² + 4x + 1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions are given.
f(x) = x²
g(x) - 2x + 1
Now,
(f o g)(x) = f(g(x))
g(x) - 2x + 1
So,
f(g(x)) = f(2x + 1)
Now,
f(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
Thus,
The expression of (f o g) is 4x² + 4x + 1.
Learn more about functions here:
https://brainly.com/question/28533782
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simplify 9 (3x - 1) + 2x.
Answer:
9 (5x-1)
Step-by-step explanation:
you have to add 3x and 2x
Answer:
29x-9
Step-by-step explanation:
9(3x)-9(1)+2x
27x - 9 + 2x
27x+2x=29-
29x-9
Find the required weekly payment into a sinking fund needed to accumulate $35,000 in 15 years by making weekly deposits into an account at 4.25% compounded weekly
.
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%
35000=weekly payment*(1.89125311 -1)/0.000817308
35000=weekly payment*0.89125311 /0.000817308
weekly payment=35,000*0.000817308 /0.89125311
weekly payment=$32.10
Factor f(x)=x2−8x+16
(A) (x−4)2
(B) (x+8)2
(C) (x−8)2
(D) (x+4)2
Answer:
A
Step-by-step explanation:
(x-4)^2 = x^2 -4x -4x + (-4)*(-4)
= x^2-8x+16 as required
Given the sequence 14, 17, 20, 23,...
a. Find a 10*
the tenth number in the sequnce is 41.
14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, etc.
Given that kx^2 + hx - 4 = 0 has no roots. Find the ranges of value of k
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
[tex]ax^2 + bx + c = 0, a \neq 0[/tex]
It will have no roots if:
[tex]\Delta = b^2 - 4ac < 0[/tex]
In this question, we have that:
[tex]hx^2 + hx - 4 = 0[/tex]
So, the coefficients are:
[tex]a = h, b = h, c = -4[/tex]
Then
[tex]\Delta < 0[/tex]
[tex]b^2 - 4ac < 0[/tex]
[tex]h^2 - 16h < 0[/tex]
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
[tex]h^2 - 16h = 0[/tex]
[tex]h(h - 16) = 0[/tex]
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 29;
σ = 3.4
P(x ≥ 30) = ______.
Answer:
P(x ≥ 30) = 0.3859
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 29, \sigma = 3.4[/tex]
This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 29}{3.4}[/tex]
[tex]Z = 0.29[/tex]
[tex]Z = 0.29[/tex] has a pvalue of 0.6141
1 - 0.6141 = 0.3859
So
P(x ≥ 30) = 0.3859
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No. Table showing the number of cake slices sold each day. Monday, eighty slices. Tuesday, one hundred twenty slices. Wednesday, one hundred slices. Thursday, one hundred forty slices. A On Monday, the restaurant made 8 cakes and will have 3 left over because −116(80)=−5. Yes No B On Tuesday, the restaurant only needed 7 cakes because −116(120)=−712. Yes No C On Wednesday, the restaurant made 7 cakes and will have 34 of a cake left over because −116(100)=−6.25. Yes No D On Thursday, the restaurant made 8 cakes and will have 34 of a cake left because −116(110)=−8.75. Yes No brainiest
Answer:
yes
no
yes
no
hope this helps
Answer:
1. Yes
2. No
3.Yes
4.No
Step-by-step explanation:
I did the test and got it right!
Write the converse of the conditional statement: broccoli is a vegetable
Answer:
A vegetable is not a broccoli
Step-by-step explanation:
To write a converse of a conditional statement you interchange the hypothesis and the conclusion.
The statement is : Broccoli is a vegetable
The hypothesis : Broccoli
The conclusion : is a vegetable
Converse : A vegetable is not a broccoli
The number on top of the division house is called the quotient.
True
False
Answer:
False
Step-by-step explanation:
The number on top of the division house is called the numerator.
The quotient is the result of the numerator / denominator.
Please mark as Brainliest!!!goran spent $38 on fruit at the grocey store.He spent a total of 40$ at the store.what percentage of the total he spend of the fruit
Solve
12 (8 – 4) =
Q 42
o 144
102
48
help meh please thank you.
Answer:
a
Step-by-step explanation:
7. Carolina surveyed students about their
favorite music. Her results are shown in
the table.
Favorite Music
Music Number of Students
Country
18
Rock
8
Pop
20
Hip Hop
14
Based on the data in the table, what is
the probability that a randomly selected
student prefers hip hop music?
a)
b) 1 / 1
d)
Answer:
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
14 students prefer hip hop music
There are 18 + 8 + 20 + 14 = 62 students
So
[tex]p = \frac{14}{62} = \frac{7}{31}[/tex]
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
Explain why it makes sense to use a negative number to represent Kirans account balance when he owes money
Answer:
He is in debt money, therefore he has less than 0$ which means he has a negative sum
Step-by-step explanation:
help please (multiple choice) i am confused
Answer:
Angle E
Step-by-step explanation:
question 2, thanks for the help :)
Answer:
the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Step-by-step explanation:
Given the points on the graph
(4, 4)(9, 1)Here:
(x₁, y₁) = (4, 4)
(x₂, y₂) = (9, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 4] / [9 - 4]
= -3 / 5
Thus, the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
What is the exact value that is 43% of 2302?
Answer: 873.76
First find 1% of 2302 which will be 2302/100=23.02
to find 43% of 2302 multiply 1% of 2302 with 43
43*23.02 = 873.76
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
Determine the value of to the nearest tenth.
0
26
Answer:
0.3
Step-by-step explanation:
0.26?
0.3
You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for $5.30 which place is better
Answer:
The village market is better than Sam's Club
Step-by-step explanation:
If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.
What is the fraction
Answer:
what fraction ??
Step-by-step explanation:
I don't see the problem
A shoe store sold 30 pairs of tennis shoes in stock. One week they had a sale and sold 8/10 of the shoes. How many pairs of tennis shoes did they sell that week ? Please give me the answer and the multiplication number model !
Answer:
24
Step-by-step explanation:
simplify 8/10 into 2/5 then 2/5 of 30 is 24
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much money did Doug pay for each
picture?
The average price of a gallon of gas in California is 160% the national average. If the national average is $2.60, what is the average price of a gallon of gas in California?
Answer:
4.16
Step-by-step explanation:
160%=1.6
1.6 times 2.6 =4.16
There are 946 milliliters in a quart. There are 2 pints in a quart
How many milliliters are in a pint?
Answer:
There are 473 millimeters in 1 pint.
Step-by-step explanation:
946 ml in 1 quart.
2 pints in 1 quart
hence,
946 ml in 2 pints
hence in 1 pint we have 946/2 ml
i.e. 473 ml in 1 pint.
:)
Answer:
473 milliliters
Step-by-step explanation:
If there are 946 mL in a quart and there are 2 pints in a quart, divide 946 by 2 to find how many mL are in one pint.
Here's an equation you can set up to solve the problem.
— 946 = 2x
— 946 / 2 = 2x / 2
— 473 = x
So, if we let x stand for the amount of mL in a pint, then 473 = x means there are 473 mL in a pint.
Dan can spread mulch in 12 hours. If Jessica helps, it takes them
2 hours. Without help, how long would it take Jessica to do this job?
Answer:
uh 14
Step-by-step explanation:
i did really just add 12+2
hope it help :)
How much do 15 DVDs cost at the store with the lowest unit price?
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
Answer:
Total cost= $141.75
Step-by-step explanation:
Giving the following information:
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
First, we need to determine the unitary price of each and choose the lowest one:
Bernie= 56.7/6= $9.45
Greg= 99.7/10= $9.7
Stan= 79.68/8= $9.96
The lowest price is $9.45.
Now, the total cost of 15 DVDs:
Total cost= 9.45*15
Total cost= $141.75
Answer:
149.25
Step-by-step explanation:
Sally earns $9.56 per hour. What is her overtime pay at time-and-a-half?
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Answer:
The [tex]20[/tex] mile-per-gallon car consumed [tex]40[/tex] gallons, whereasThe [tex]15[/tex] mile-per-gallon car consumed [tex]35[/tex] gallons.Step-by-step explanation:
Assume that the [tex]20[/tex] mile-per-gallon car consumed all that [tex]75[/tex] gallons of fuel. How far would the cars have travelled?
[tex]20 \times 75 = 1500\; \text{miles}[/tex].
This assumption overestimated the total mileage of the two cars by [tex]1500 - 1325 = 175\; \text{miles}[/tex]. Here's why: for every gallon that the second ([tex]15[/tex] mile-per-gallon) car consumed, this assumption would overestimate the total mileage by [tex]20 - 15 = 5\; \text{miles}[/tex]. Therefore, the overestimation of [tex]175\; \text{miles}[/tex] corresponds to:
[tex]\begin{aligned} & 175\; \text{miles overestimated} \\ & \times \left(\frac{1\; \text{gallon consumed by the second car}}{5\; \text{miles overestimated}}\right)\\ &= \frac{175}{5}\; \text{gallons consumed by the second car} \\ &= 35\; \text{gallons consumed by the second car}\end{aligned}[/tex].
Therefore, the second car consumed [tex]35\; \text{gallons}[/tex]. The first car would have consumed [tex]75 - 35 = 40\; \text{gallons}[/tex].
Verify the results: [tex]40 \times 20 + 35\times 15 = 1325\; \text{miles}[/tex].