If you double just the width of a rectangular prism then you double its volume.
Given the function g(x)=-x^2+6x+12g(x)=−x
2
+6x+12, determine the average rate of change of the function over the interval -3\le x \le 5−3≤x≤5.
Answer:
4
Step-by-step explanation:
edge
The average rate of the function is 4.
What is average rate of function?The average rate of change of a function f(x) over an interval [a, b] is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using [f(b) - f(a)] / (b - a). In other words, the average rate of change (which is denoted by A(x)) is the "ratio of change in outputs to change in inputs". i.e.,
A(x) = (change in outputs) / (change in inputs)
= Δy / Δx
= [f(b) - f(a)] / (b - a)
given function:
f(x) = -x² + 6x + 12
Now,
let a= -3, b = 5
and, f(b)= -(5*5) + 6*5 + 12
=-25+ 30 +12
= 17
f(a) = -(- 3 * (-3))+6(-3) +12
= -9-18+12
= -15
Now,
f(b)- f(a) / (b-a)
=17 -(-15))/5-(-3)
=32/ 8
=4
Learn more about rate of change here:
https://brainly.com/question/23715190
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Given the following number in standard form, how would you represent the number in the hundreds place using expanded exponential notation?
7321
Answer: 3*10^2
====================================
Work Shown:
7321 = 7000 + 300 + 20 + 1
7321 = 7*1000 + 3*100 + 2*10 + 1*1
7321 = 7*10^3 + 3*10^2 + 2*10^1 + 1*10^0
Side note: The exponents count down 3,2,1,0. You can think of a similar thing like 7x^3+3x^2+2x+1 and simply replace x with 10.
Please help me . I’m begging you :( thank you
In a survey of 100 people, some of them jog for exercise, some of them ride a bike, some do both, and 15 do not jog or ride a bike. If 46 of the people surveyed job and 21 of them both jog and ride a bike, how many of the people surveyed only ride a bike?
Answer:
Bike alone = 39
Step-by-step explanation:
Given that:
Total number = n(T) = 100
Jog= n(J)
Bike = n(B)
Bike and jog = n(BnJ) = 21
Number who jog = 46
Jog alone = 46 - 21 = 25
Neither jog nor bike = 15
Let bike alone = x
Hence,
Jog alone + bike alone + jog and bike + none of the two = 100
25 + x + 21 + 15 = 100
x = 39
Use the graph to determine which statement describes f(x)
O A. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
O B. f(x) has an inverse function, because its graph passes the
horizontal line test.
C. f(x) has an inverse function, because its graph passes the vertical
line test.
D. f(x) does not have an inverse function, because its graph fails the
vertical line test.
Answer:
f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A
Step-by-step explanation:
The vertical line test is used to show that the graph represents a
function or not
If the vertical line crosses the graph in more than one point, then the graph does not represent a functionIf the vertical line crosses the graph in only one point in different positions, then the graph represents a functionThe horizontal line test is used to show that the function has an
inverse or not
If the horizontal line crosses the graph of a function in more than one point, then the function has no inverseIf the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverseLet us look at the given graph
→ The graph represents a parabola, which represents the function f(x)
∵ Any horizontal line drawn will cross the graph in more than one point
∴ f(x) has no inverse
∴ f(x) does not have an inverse function, because its graph fails the
horizontal line test.
Heather made $299 for 13 hours of work.
At the same rate, how much would she make for 18 hours of work?
Answer:
$414
Step-by-step explanation:
We know that Heather made $299 for 13 hours of work.
So, to find how much Heather will make for 18 hours of work at the same rate, we can write and solve for the following proportion:
[tex]\frac{299}{13}=\frac{x}{18}[/tex]
Notice that we align the rates vertically and the measurements horizontally (dollars in the numerator and hours in the denominator).
So, to find how much Heather will make for 18 hours, we will solve for x. Cross-multiply:
[tex]13x=5382[/tex]
Divide both sides by 13:
[tex]x=\$414[/tex]
So, Heather will make $414 for 18 hours of work.
And we're done!
On her way to visit Horace Mann University, Casey stopped by Mount Rushmore in South Dakota. The park ranger gave a talk that described the history of the monument and provided some interesting facts. Casey could not believe that the carving of George Washington’s face is 60feet tall from his chin to the top of his head!
However, when a tourist asked about the length of Washington’s nose, the ranger was stumped! Casey came to her rescue by measuring, calculating and getting an answer.
How did Casey get an answer?
Answer:
using a proportion relating nose length to head height
Step-by-step explanation:
Casey measured the nose length, and found the fraction that was of the head height. Then Casey found the same fraction of 60 feet to find the actual nose length.
__
Casey could use a photograph, poster, postcard, or a ruler held at arm's length, to make the necessary measurements.
Wha is the product of 12× 1 7/9
Answer:
Hi friend! the answer is 64/3 or 21.3333333 or 21 1/3
Step-by-step explanation:
Answer:
64/3
Step-by-step explanation:
becaseu of math bro
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s b
Step-by-step explanation:
Expand and simplify: 2(x-4^2)+7
20 POINTS AND BRAINLIST
restaurant has 22 bags of potatoes weighing 363 pounds. If the weight of the bags of potatoes varies directly with the number of bags of potatoes, how much will 15 bags weigh?
a 247.5
b 330
c 115.5
d 315
I'm confused there is only i answer is it B or D?
Answer:
B
Step-by-step explanation:
Answer:
Where the question?
Step-by-step explanation:
Write the decimal expansion for 4/9.
Answer:
0.4
Step-by-step explanation:
The test scores you end up having in geometry class are 81 and 87. What possible scores can you earn on your next test to have a test average between 84 and 89?
Answer:
88, 89, 90, 91, 92? idrk
Answer:
A score between 84 and 99
Step-by-step explanation:
First, let's solve for what you would need to score on your next test to have an average of 84:
(81 + 87 + x)/3 = 84
(168 + x)/3 = 84
168 + x = 252
x = 84
Next, let's solve for what you would need to score on your next test to have an average of 89:
(81 + 87 + x)/3 = 89
(168 + x)/3 = 89
168 + x = 267
x = 99
That means you would have to earn a score between 84 and 99.
I hope this helped you, and if it did, a brainliest would be appreciated :)
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?
A. y=-3x-5
B. y=-3x+5
C. y=3x-5
D. y=3x+5
Answer:
b. y=-3x+5
Step-by-step explanation:
If you find the slope(y-y/x-x) I found that the slope is -3. from using the slope and graphing this out, the y-intercept is +5 giving me the answer of y=-3x+5.
I hope this helps have a great day:)
Answer:
y = -3x + 5
Step-by-step explanation:
The answer is correct because I just took the test and I got a 100%.
In June, Mr. Chen's students read 40 books. In July they read 30 books.
What is the percent increase or decrease of the books they read?
Answer:
25% decrease
Step-by-step explanation:
i need to know asap
Answer:
16/25 = 0.64
6/7 = 0.857142
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
What is the solution to the inequality 5.25 – b ≥ 6.5?
Answer:
A
Step-by-step explanation: got it right on edge
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary. At her first tennis lesson, Latoya swung hard at an incoming serve, the racket slipped out of her sweaty hand and bounced off Coach Licata's head.
Answer:
serve; the
Step-by-step explanation:
In the given sentence the error is in the use of the punctuation mark. The comma has been used in the sentence that is not correct. The correct punctuation mark will be a semi-colon (;). A semicolon is used to bring a pause between two independent clauses. These clauses or the part of the sentences are closely related and have equal importance in the sentence.
put these syllables from open order and closed and this is lanught arts
Answer:
¿No entiendo?
Step-by-step explanation:
Evaluate 6-2
A.
36
B.
1
36
C. -36
D. -12.
20 adults and 15 children are going to attend a musical evening. The organizers have arranged the tables in such a way that there is equal number of adults and children on each table and no one is left over. What is the GREATEST number of tables that the organizer can set up ?
Answer:
5 tables
Step-by-step explanation:
if four adults and three children are seated at each table, there can be a total of 5 tables.
Can someone help me photo is above
Answer: 9x + (-1)
Step-by-step explanation:
(7x + 2x) + (2 -3)
9x + (-1)
Answer:
14x²-17x-6
Step-by-step explanation:
multiply (7x+2)(2x-3)
(1) multiply 7x and 2x =14x²
(2) multiply 7x and -3 = -21x
(3) multiply 2 and 2x= 4x
(4) multiply 2 and -3 = -6
Last step: add all answers from step 1 to 4
: 14x² +(-21x)+4x+(-6)
answer: 14x²-17x-6
Is 166 an even number?
Answer:
Step-by-step explanation:
Hello friend!!!!!
Yes it is an even number.
Any number that ends with 0, 2, 4, 6 or 8 is an even number
since 166 ends with 6, it is an even number.
hope this helps
plz mark as brainliest!!!!!!!!!!
This is the last one thank u everyone who helped me please help with this one ily
Answer:
x = 156°Step-by-step explanation:
180 = x + 24
x = 180 - 24
x = 156
Find the value of the expression:
0.01y4
for y=–2; 3; 10
Answer:
make your questions detailed
Jennifer added the product 125 and 58 to the product of 357 and 42 what is the sum?
Answer:
22244
Step-by-step explanation:
(125*58)+(357*42)=22244
Which statement is true?
7 < 65 <8
4< 13 < 5
6 < 33 < 7
o 9 < 91 < 10
Answer:
→ All statement are false................
round 75.0794 to 2 decimal places
Answer:
75.08
Step-by-step explanation:
Focus on the 2nd digit to the right of the decimal point (it is 7). The next digit is 9. Because of this (nex digit 5 or greater), we round the 7 up to 8 and obtain the answer
75.08