Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45
Answer:
B
Step-by-step explanation:
Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning car, driven by Sam, finished in 185.29 minutes. The previous year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that year, driven by Rita, finished in 110.02 minutes. Find their respective z-scores. Who had the more convincing victory?
Answer:
Sam has the more convincing victory with a greater Zscore value
Step-by-step explanation:
Given that :
Year 1:
Mean finish time (m) = 185.64
Standard deviation (s) = 0.314
Sam's time (x1) = 185.29
Year 2:
Mean finish time (m) = 110.3
Standard deviation (s) = 0.129
Rita's time (x1) = 110.02
Zscore = (x - mean) / standard deviation
Sam's Zscore :
(185.29 - 185.64) / 0.314
= - 0.35 / 0.314
= −1.114649
= - 1.115
Rita's Zscore :
(110.02 - 110.3) / 0.129
= - 0.28 / 0.129
= −2.170542
= - 2.171
Sam has the more convincing victory with a greater Zscore value
What is the y-intercept of the quadratic function
f(x)= (- 8)(x +3)?
Answer:
-24
Step-by-step explanation:
The standard from of equation of a line is expressed as g(x) = mx+c where;
m is the slope
c is the y-intercept of the line.
Given the expression g(x)= (- 8)(x +3), rewriting in standard form first we have;
g(x)= (- 8)(x +3)
gx)= -8x - 24
On Comparing with g(x) mx+ c, we will see that;
c = -24
Hence the y-intercept of the quadratic function is -24
What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3
Answer:
Step-by-step explanation:
the formula for Volume of the sphere is
V=4/3 * π*r^3
diameter =4, r=2
V=4/3 * 3.14 * 8=33.49
A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48
Answer:
b
Step-by-step explanation:
The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, a motorboat moves across a lake at a constant speed.
Let x be the number of minutes and y be the total distance.
When it begins, it is 48 km from the shore.
Now, (x₁, y₁) =(0, 48)
After 10 minutes, it is 18 km from the shore.
So, (x₂, y₂) =(10, 18)
We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)
= (18-48)/(10-0)
= -30/10
= -3
Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get
48=-3(0)+c
c=48
Substitute, c=48 and m=-3 in y=mx+c, we get
y=-3x+48
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Please help me if u know
Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]
x = [tex]\frac{3-\sqrt{21} }{4}[/tex]
Step-by-step explanation:
First to answer and get right gets brainleist and there is ma points pls help
Answer:
#11 is D. x = u - k
#12 is D. x = gc
Step-by-step explanation:
I plugged random integers to test this. Anyhow, just do the inverse operation.
#11:
13 = x + 8
x = 13 - 8
x = 5
Here, x = u - k is the new equation.
#12:
23 = x/9
x = 23(9)
x = 207
Here, x = gc is the new equation.
Which scenario will have a quotient of 4/12?
A. Andrew has 4 liters of juice and wants to pour an equal amount of juice into 12 identical glasses. How many liters of juice will each glass contain?
B. Emily jogs 4 kilometers every day. What is the total distance she jogs in 12 days?
C. Nadia has 12 cookies and wants to distribute them evenly with her 3 friends and herself. How many cookies do Nadia and her friends each receive?
D. Steven uses 12 liters of red paint and 4 liters of yellow paint to make orange paint. What is the amount of red paint used for each liter of yellow paint?
Answer: A
Step-by-step explanation: just a feeling
Answer:
a
Step-by-step explanation: the question is aking you what 4/12 equals.
the answer A is asking you what 4 divided by 12 is (0.33333333)
b) is multiplying
c) is has a 3 which is not in the question
d) is improper
Help plz! Will give brainliest!
Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more
Step-by-step explanation:
Answer:
D sqrt 72
Step-by-step explanation:
The answer is not A because 8.89 = sqrt 79 and that is too high
The answer is not B because 9.06 = sqrt 82
The answer is not C because 7.94 = sqrt 63
The answer is D 8.49 = sqrt 72 and that is perfect.
13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776
Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2
If f(x) =2x²-x, find f(-4)-f(9)
Who gets this correct gets the brainliest answer
Answer:
(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5
to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2
slope = -5
y-intercept = -2
and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b
where m is the slope
b is the y-intercept
the equation of this line is " y = -5x -2 "
what is the LCD of 8/9 and 7/8
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Answer:
The Least Common Multiple (LCM) of 8 and 9 is 72,
and the Least Common Multiple (LCM) of 7 and 8 is 56.
PLEASE HEL0 :( 20 points!
Answer:
a c b and f
Step-by-step explanation:
State the domain and range of the function:
domain:
range:
Answer:
Domain: [-5, 1)
Range: (5, 1]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:
[-5, 1)
According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:
(5, 1]
Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?
Answer:
252 miles
Step-by-step explanation:
HELP ASAPPP PLZZZZ!
Answer:
the second statement isn't true
Answer:
its the 2nd one
Step-by-step explanation:
have a good day
HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?
A 137
B 77
C 83
D 105
Answer:
I'm sure the answer is A
Step-by-step explanation: There is none, I saw someone else answer this.
Answer:
I'm pretty sure it's 83
Step-by-step explanation:
Teacher explanation that I still don't really understand
What is the answer for
(1, 1) and (1,9)
Answer:
9/0
Step-by-step explanation:
4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa
Answer:
a=13
Step-by-step explanation:
4a+12-7=6a-21
combine like terms
4a+5=6a-21
sub 4a from each side
5=2a-21
add 21 to each side
26=2a
divide each side by 2
a=13
Answer:
:)
Step-by-step explanation:
a=13
ASAP PLS HELPPPPPPPPPPPP ME ITS DUE TODAY!!!!!
WILL MARK BRAINLIEST IF GOOD ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line. (5 points)
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answer:
i believe it is b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
It is B because It would be the inverse of the equation, which is the opposite of the equation and It is 7+8.
Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."
Answer:
I think it's...
[(2 + 10) × 3] + 9
HELP PLEASE THIS IS MY 3RD TIME POSTING THIS QUESTION PLEASE HELP
Answer:
11 1/2
Step-by-step explanation:
cause no one wana take the time to help u they not cool brainliest pls pls pls
Answer:
11 1/2 t just did this problom
Step-by-step explanation:
2.31 (1 repeating) as a fraction
Answer:
[tex]\frac{231}{100}[/tex]
This is assuming that you can simplify the 2.31 to the nearest hundredth.
Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2
The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]How to find the value of the function as x approaches infinity(+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
Testing all the four functions listed for x tending to -∞ or ∞:
Case A: [tex]y = (x+ 2)^3 -9[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]
(since cube of negative quantity is going to be negative)
Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.
Case B: [tex]y = -2x^3-1[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]
(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.
2. For x approaching ∞
[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]
So function approaches negative infinity as x approaches positive infinity
Thus, the considered function behaves as needed.
Case C: [tex]y = -3x^3 + 4[/tex]Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.
Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.
Case D: [tex]y = 3(x-1)^2[/tex]Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.
Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]Learn more about limiting values of a function here:
https://brainly.com/question/13146225
Answer: y=-2x^-1
Step-by-step explanation:
You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?
Answer:
$1.77
Brainliest please?
Step-by-step explanation:
5.25+2.98=8.23
10-8.23=1.77
If someone can just answer the first question that would be so helpful plzzz
Answer:
I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.
Step-by-step explanation:
10 points for correct answer and giving brainliest
Answer:
A
Step-by-step explanation:
We know it cant be -6 as that would be a range and since the circle on the end is hallow it wont be less or equal to rather just less than and the since the next one is 2 and its solid circle it has to be less than or equal too
Answer:
A. -9 < x ≤ -2
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -9 to 2. Since -9 is an open dot, it is exclusive in the domain. Since 2 is a closed dot, it is inclusive in the domain:
(-9, 2] or -9 < x ≤ -2
A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST
Answer:
13 so yeah it correect
The gas tank and Bob's car has 2.5 gallons of gas left in it Bob filled his gas tank and paid $45 the price for a gallon of gas was $3.05 approximately how many gallons of gas does Bob's tank hold
Answer:
45 divided by $3.05= 14.75
14.75 + 2.5 gallons = 17.25 gallons
Approximate volume gas tank will hold is 17 gallons.
Step-by-step explanation: