Answer:
A.f(x)=x3+x
Step-by-step explanation:
. A linear function has the following form. y = f(x) = a + bx.
B: g(s) = 1 - 4s is the only linear function among all the options given in the question.
The answer is B: g(s) = 1 - 4s.
A linear function is a function whose graph is a straight line. The general form of a linear function is y = mx + b, where m and b are constants.
Of the functions given, only g(s) = 1 - 4s has the form y = mx + b. Therefore, g(s) is the linear function.
Here is the explanation for each function:
A. f (x) = x3 + x is not a linear function because the degree of the polynomial is 3. The graph of a cubic function is not a straight line.
B. g(s) = 1 - 4s is a linear function because the degree of the polynomial is 1. The graph of a linear function is a straight line.
C. h(t) = 2t +1/t is not a linear function because the degree of the polynomial is 2. The graph of a quadratic function is not a straight line.
D. f(r) = _/-r is not a linear function because the function is undefined for some values of r. The graph of a function that is undefined for some values of x is not a straight line.
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mother had 1 1/2 dozen of eggs in refrigerator. she used 1/3 of eggs. what part of the eggs was used?
Answer: 1/2
Step-by-step explanation:
1 1/2 = 3/2
1/3 * 3/2 = 1/2
2. XYZW is a parallelogram with diagonals XZ and YW that intersect at point A.
If XA = 3m, ZA = 5m - 4, and YW = 10m, find AW.
Answer:
Answer:
AW=10
Step-by-step explanation:
In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...
Solving for XA and AZ
XA=AZ
3m=5m-4
-2m=-4
m=2
If YW=10m then 10 x 2 = 20
20 divided by 2 = 10
A random sample of 35 UCF students has a mean electricity bill of $115. Assume the population standard deviation is $18.10. Construct a 90% confidence interval for the mean electricity bill of all UCF students. Round final answer to two decimal places.
Answer:
Step-by-step explanation:
confidence interval formula is epressed as;
CI = xbar ± z(s/√n)
xbar is the mean = $115
z is the z score at 90% CI = 1.645
s is the standard deviation = 18.10
n is the sample size = 35
Substitute;
CI = 115 ± 1.645(18.10/√35)
CI = 115 ± 1.645(3.0594)
CI = 115± 5.0328
CI = (115-5.0328, 115+5.0328)
CI = (109.97, 120.03)
Hence a 90% confidence interval for the mean electricity bill of all UCF students is 109.97<x<120.03
Using the t-distribution, it is found that the 90% confidence interval for the mean electricity bill of all UCF students is (108.79, 121.21).
We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 115[/tex].
Sample standard deviation of [tex]s = 18.1[/tex].
Sample size of [tex]n = 35[/tex].
The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 35 - 1 = 34 df, is t = 2.0301.
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 115 - 2.0301\frac{18.1}{\sqrt{35}} = 108.79[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 115 + 2.0301\frac{18.1}{\sqrt{35}} = 121.21[/tex]
The 90% confidence interval for the mean electricity bill of all UCF students is (108.79, 121.21).
A similar problem is given at https://brainly.com/question/15180581
The 5th grade students at Fox Middle School went to a movie. They spent a total of $1357.50 on movie tickets. If each movie ticket costs $7.50, how many students attended the movie?
2(x - 5) = 9 -3x + 6 + 8 + 3x + 7 X=?
Mark wrote the equation -1/3x+2y=-6 for a standard form equation, but he forgot some of the rules. correct his mistake to correctly write the equation in standard form
Answer:
y=1/6x-3
Step-by-step explanation:
1) -1/3x+2y=-6
+1/3x +1/3x
2) 2y=1/3x-6
3) (Divide by 2 on both sides)
4) y=1/6x-3 <-- Final Answer!
A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save by paying off a credit card debt of 5,00 at the end of i year instead of at the end of 3 years
Did you get the answer it’s been a week:l
Answer:
$900
Step-by-step explanation:
because 18% of 5,000 is 900
The price of 2 dozen cobs of corn (which is 24 cobs) is $7.20. Joanna want to buy just 3 cobs of corn. How much will she pay? in unit rate
Answer:
Step-by-step explanation:
NEED HELP !! There are 16 ounces in 1 pound . How many 12-ounce servings are in 36 pounds of dog food ? PLEASSSEEDE
Answer:
(3) 3*12=36
Step-by-step explanation:
There are 48 numbers of 12-ounce in 36 pounds of the dog food.
To understand more, check below explanation.
Pounds to ounce conversion:Given that,
There are 16 ounces in 1 pound .
First , we have to convert 36 pounds of dog food into ounces.
1 pound = 16 ounces
36 pounds = 16 * 36 = 576 ounces
We have to find how many 12-ounce servings are in 36 pounds of dog food.
So that, number of 12-ounce of dog food = [tex]\frac{576}{12}=48[/tex]
Hence, there are 48 numbers of 12-ounce in 36 pounds of the dog food.
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Please help and tell me why u got that answer, I will mark brainliest
4.80952380952 in fraction form
Answer:
77/16
Step-by-step explanation:
Thank if you help.....
Find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)x and select the correct answer below. Group of answer choices 23.22 163.84 35.84 128
I think it is 23.22
(Please mark me brainiest)
Which function is graphed?
Answer:
i think b
Step-by-step explanation:
The carnival committee purchased 985 small prizes. The prizes are to be divided equally among the 20 game
booths. How many prizes will each booth have? How many prizes will be left
Answer:
49 prizes each, with 5 left
Step-by-step explanation:
985/20 is 49 with 5 left over.
Olivia wants to cut off 3 3/4inches from a piece of string. She has already cut off
2 9/16 inches from the piece of string. How much more string should she cut off?
Answer:
1 3/16 inches
Step-by-step explanation:
3 3/4 = (3+12) / 4
2 9/16 = ( 9+ 32) / 16
15 / 4 - 41/ 16 make the denominators equal
15 × 4 / 4×4 - 41/ 16
= 60/16 - 41/16
= 19/16 convert it to Fractional number
= 16 + 3 / 16 = 1 3/16
Ms. White wants to rent a small car for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. White drives during the week. Write an expression that shows the amount she will pay for the car. Evaluate the expression you wrote to find out how much Ms. White will pay if she drives 100 miles.
Note: We are not given the weekly fee, but I'll assume it as $80 only to be able to solve the problem and explain the procedure.
Answer:
Ms. White will pay $110 if she drives 100 miles
Step-by-step explanation:
Ms. White wants to rent a car for a week. It costs a weekly fee of $80 plus a $0.30 fee per mile driven.
If we call m = the number of miles driven by Ms. White during the week, then the cost of renting the car is:
C(m)= 80 + 0.30m
If Ms. White drives m=100 miles during the week, then the cost is:
[tex]C(100)= 80 + 0.30\cdot 100[/tex]
C(100)= 80 + 30
C(100)= $110
Ms. White will pay $110 if she drives 100 miles
Which expression can be used to find the value of expression below -(7/10) + 2/8 + 1/10 - (4/8)
Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
will give brainly Arnold needs to simplify the expression below. (8.2-0.5x7)-6 Which operation should he perform first? 0.5x7 O 8.2-0.5 0 3+11 7÷6
According to a National Health Survey, American men’s heights are normally distributed with a mean given by μ=69.7 inches and a standard deviation given by σ=2.8 inches. a). If a man is randomly selected, find the probability that his height is more 72 inches.
Answer: 0.206
Step-by-step explanation:
Given that :
Height of American men is normally distributed :
Mean height (μ) = 69.7 inch
Standard deviation (σ) = 2.8 inch
Probability that height of a randomly selected man is more than 72 inches
P(X > 72)
Obtain the standardized score (Zscore):
Zscore = (x - μ) / σ
Zscore = (72 - 69.7) / 2.8
Zscore = 2.3 / 2.8
Zscore = 0.8214285
Zscore = 0.8214
Using the Z probability calculator ;
P(Z > 0.8214) = 0.20571
Probability of selecting a man whose height is more Than 72 is 0.206
ircle is 56 cm
EXERCISE 13.6
1. Find the area of circle having : (Take a = 3.14)
(i) radius = 10 cm
Radius of circle (r) = 10 cm
π = 3.14
[tex] \rm Area \: of \: circle = \pi {r}^{2}
\\ \\ \rm = 3.14 \times {10}^{2} \\ \\ \rm = 3.14 \times 100 \\ \\ \rm = 314 \: {cm}^{2} [/tex]
Are these equations equivalent?
0.8x + 3= 1.8x and 2x =6
Answer:
Yes
Step-by-step explanation:
0.8x + 3 = 1.8x
3 = 1.8x - 0.8x
x = 3
And:
2x = 6
dividing both sides by 2:
x = 3.
hence the two equations are equivalent since they give the same answer.
Rewrite the following rational form in radical form and simplify when possible:
Answer:
A: 3s square root of a^4
Step-by-step explanation:
Answer:
b)
Step-by-step explanation:
[tex]a^{\frac{3}{4}}= (a^{3})^{\frac{1}{4}} = \sqrt[4]{a^{3}}[/tex]
This is the simplest form
A 3-mi cab ride costs $3.00. A 6-mi cab ride costs $4.80. Find a linear equation that models cost c as a function of distance d. c = 1.00d + 1.80 d = 0.60c + 1.80 c = 0.60d + 1.20 c = 0.80d + 1.20
Answer:
c=0.6d+1.2
Step-by-step explanation:
Let c the cost and d the distance. The linear equation has the form
c=md+b
the slope m can be computed by means of the given points:
(d1,c1)=(3,3)
(d2,c2)=(6,4.8)
where
[tex]m=\frac{c2-c1}{d2-d1}[/tex]
hence
[tex]m=\frac{4.8-3}{6-3}\\m=\frac{1.8}{3}\\m=0.6[/tex]
Now, we must find the y-intercept "b" in the equation c=0.6d+b, by using the point (3,3), that is
3=0.6(3)+b
3=1.8+b
b=3-1.8
b=1.2
Finally, the answer is
c=0.6d+1.2
Answer:
D. c = 0.60d + 1.20
Step-by-step explanation:
help pls. i rlly need help
Answer: the Stamp Act imposed a direct tax on the colonists. Specifically, the act required that, starting in the fall of 1765, legal documents and printed materials must bear a tax stamp provided by commissioned distributors who would collect the tax in exchange for the stamp.Jul
Step-by-step explanation:
No explanation
how many grams in 1.7x 10^7 ug
Answer:
17 grams
Step-by-step explanation:
I don't know how to get started on this sums and difference expression: sin θ - √︎3 cos θ =1
We are given:
Sinθ - √3 Cosθ = 1
Solving for θ:
dividing both the sides by 2
1/2 Sinθ - √3/2 Cosθ = 1/2
Cos(60°)*Sinθ - Sin(60°)Cosθ = Sin(30°) [Since Cos(60°) = 1/2 and Sin(60°)=√3/2]
We can see that the LHS resembles the formula:
Sin(A - B) = SinACosB - SinBCosA
Sin(θ - 60°) = Sin(30°)
So, we can say that:
θ - 60 = 30
θ = 90° or π/4 radians
Hana’s next party is breakfast themed, and she plans to serve yummy breakfast egg sandwiches for her 40 guests. Each sandwich includes: 1 slice of bread, 1 egg, and 1 slice of bacon. She is at the supermarket looking at the package options for each ingredient. She wants to buy the same number of each type of ingredient and have the least amount of food left over. Which package combinations will give her this result?
Answer:
Step-by-step explanation:
Egg cartons of 12, bread slices of 8, bacon packs of 16
Work out 2 6/9 − 1 3/9 Give your answer as a mixed number in its simplest form
Answer:
7/3
Step-by-step explanation:
Find the point on the parabola y2=2x that is closest to the point (1,4).
