Answer:
g(-1) = 5 - 4 = 1
Step-by-step explanation:
Please use " ^ " to denote exponentiation: g(x) = x^3 + 6x^2 + 12x + 8.
Substitute -1 for x in this equation: g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Then: g(-1) = -1 + 6 - 12 + 8, or
g(-1) = 5 - 4 = 1
Answer:
The answer is C
Step-by-step explanation:
I just took the test and got it right.
Hopefully this helps you :)
pls mark brainlest ;)
The function f is continuous on the interval [3,11] with some of its values given in the table below. Find the average rate of change in t over the interval [3,11].
X. | 3 | 5 | 8 | 10 | 11 |
F(x)| -4| 4 | 10 | 16 | 20 |
A. 1/3
B. 2
C. 3
D. None of these
Answer:
C
Step-by-step explanation:
The average rate of change of a function f(x) on the interval [a, b] is:
(f(b) − f(a)) / (b − a)
Here, the interval is [3, 11]. f(3) = -4 and f(11) = 20.
(f(11) − f(3)) / (11 − 3)
(20 − -4) / 8
24 / 8
3
The average rate of change in t over the interval [3,11] is C. 3.
What is the average rate of change of a function?The average rate of change function exists expressed as the average rate at which one quantity is changing regarding something else changing. In simple terms, an average rate of change function exists as a process that estimates the amount of change in one item divided by the corresponding amount of change in another.
The average rate of change of a function f(x) on the interval [a, b] is:
(f(b) − f(a)) / (b − a)
Here, the interval is [3, 11]. f(3) = -4 and f(11) = 20.
(f(11) − f(3)) / (11 − 3)
(20 − -4) / 8
24 / 8
3.
The average rate of change in t over the interval [3,11] is C. 3.
Hence, The correct answer is option C. 3.
To learn more about the average rate of change of a function
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How can u tell if a ratio is proportional
Answer:
Ratios are usually proportional if they are the same or have the same relationship.
Step-by-step explanation:
Like: you have 2 fractions that reduce and come out the same they are proportional.
Hope my answer has helped you!
Answer: pretty much is you reduce 2 fractions and they are the same it should be proportional.
Step-by-step explanation:
Find the number of steel ball bearings, each of diameter 0.7 cm, that can be made from 1kg of steel, given that 1cm cubed of steel weighs 7.8 g
Answer:
Ball Bearing Volume = (4 / 3) * PI * radius ^3
Volume = (4 / 3) * 3.14159265 * (.35)^3
Volume = (4 / 3) * 3.14159265 * 0.042875
Volume = 0.17959438 cc
1 cc of steel = 7.8 g
Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc
1 kg = 128.205 cc
Number of ball bearings we can make = 128.205 / 0.17959438
Equals 713.86
Step-by-step explanation:
NEED HELP ASAP (WILL MARK BRAINLYEST)
Answer:
The true statements are the third and fifth. [not sure about the second one!]
Step-by-step explanation:
1.) (7u + 4) is written as a sum of three terms.
This is false since 7u is one term, and 4 is one term, making a total of two terms, not three.
2.) 2 is a factor
I'm not sure on this but I don't think its true.
3.) In 7u, 7 is a coefficent
This is true. The coefficent is the number in front of a variable, or in this case, 7.
4.) In (7u + 4), 7u is a constant.
This is false, as a constant is a number without any variable attached to it. The constant in this case would be 4.
5.) 8 and 1 are like terms.
This is true, since you can add 8 and 1, resulting in the sum of 9.
6.) None of these are true.
This is false, as at least 2 of these statements are true.
I hope this helps! :)
Assume that you have taken out an amortized loan for $10,000 to buy a new car. The yearly interest rate is 18% and you have agreed to pay off the loan in 4 years. What is your monthly payment?
Answer:
$293.75
Step-by-step explanation:
Any number of financial calculators, spreadsheets, and on-line calculators can compute the monthly payment for you. Or you can put the numbers into the formula and compute it yourself.
A formula I like is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the loan amount, r is the annual interest rate, and t is the number of years. Filling in the given information and doing the arithmetic, we get ...
A = $10000(0.18/12)/(1 -(1 +0.18/12)^(-12·4)) = $150/(1 -1.015^-48) = $293.75
Your monthly payment is $293.75.
Match the equivalent expressions.
x - 3y + 12
12 - 3y - 2x + x + 2x
3x + 2y - 2x + y + 12
3y + 12
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
x + 3y + 2x - 3x + 7 + 5
x + 3y + 12
5 + 2y + 7x - 4x + 3y - 17
Answer:
One pair of equivalent expressions is:
x - 3y + 12
12 - 3y - 2x + x + 2x
Second,
x + 3y + 12
3x + 2y - 2x + y + 12
third,
3y + 12
x + 3y + 2x - 3x + 7 + 5
four,
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
Step-by-step explanation:
In order to match the equivalent expressions we have to put each expression in its simplest form
So,
[tex]x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12[/tex]
One pair of equivalent expressions is:
x - 3y + 12
12 - 3y - 2x + x + 2x
Second,
x + 3y + 12
3x + 2y - 2x + y + 12
third,
3y + 12
x + 3y + 2x - 3x + 7 + 5
four,
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
..
Answer:
x + 3y + 12 <--> x + 3y + 2x - 3x + 7 + 5
x − 3y + 12 <--> 12 - 3y - 2x + x + 2x
3x + 2y − 2x + y + 12 <--> 3x + y - 12
3y + 12 <--> 4y + 3y + 3x - 6y - 10 - 2
To rent a car, you must pay $0.30 per mile plus a maintenance fee of $35. Write and equation to represent this function.
Let y be the total cost and x be the miles taken:
y = 0.30x + 35
35 is a fixed cost. No matter how many miles you drive the car you will still need to pay $35
.30 is a cost that depends on the miles taken (x).
Hope this helped!
~Just a girl in love with Shawn Mendes
determine the distance between -16 and -4
the answer would be 12
-4 - -16 = 12
the distance between -16 and -4 is 12.
Evaluate log1212
a. 0
b. 1
c. 12
d. -1
Answer:
B
Step-by-step explanation:
I just took the test lol
Find an equation for the line parallel to y = 3 x - 2 y-intercept (0,5). Write the answer in slope-intercept form.
What is the value of x?
a.30
b.45
c.55
d.60
Answer:
b. 45deg
Step-by-step explanation:
see attached
Answer:
45
Step-by-step explanation:
We are seen with two lines crossing each other and the angle in which a line has is 180 degrees. Also, the angles labeled 3x and x are supplementary angles, which mean they add up to 180 degrees. Using this information, we can set up an equation.
[tex]x+3x=180[/tex]
[tex]4x=180[/tex]
[tex]x=45[/tex]
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
I figured out the answer! The answer is 7.
8x +5y = 96
plug in 7 for x
8 (7) + 5y = 96
56 + 5y = 96 subtract 56 from both sides
5y/y = 40/5
y = 8
She bought 7 pink and 8 purple plants
Answer:
7 & 8
Step-by-step explanation:
For this case we propose a system of equations:
x: Variable representing the plant with pink flowers
y: Variable representing the plant with purple flowers
We have as data that:
[tex]x + y = 15\\8x + 5y = 96[/tex]
From the first equation we have to:
[tex]x = 15-y[/tex]
Substituting in the second equation:
[tex]8 (15-y) + 5y = 96\\120-8y + 5y = 96\\-3y = 96-120\\-3y = -24\\y = \frac {-24} {- 3}\\y = 8[/tex]
Arianna bought 8 purple flowers.
Now we have:
[tex]x = 15-8\\x = 7[/tex]
Arianna bought 7 pink flowers.
Answer:
Arianna bought 7 pink flowers.
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
Answer:
x = 1, y = 60
Step-by-step explanation:
Value of new-releases (x) = $20 each
Value of classic (y) = $8 each
Total budget = $500
Equation : 20x + 8y = 500
The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.
Lets assume the librarian buys at least one new-release DVD.
x=1
20x + 8y = 500
8y + 20(1) = 500
y = 60
Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.
!!
Answer: x=16 y=22
Step-by-step explanation:
Edge test math
Find the nonpermissible replacement for bin
this expression.
b2/5b +5
Answer:
b ≠ - 1
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that b cannot be.
solve
5b + 5 = 0 ( subtract 5 from both sides )
5b = - 5 ( divide both sides by 5 )
b = - 1 ← excluded value
If U = {all positive integers) and A = {x|x EU and x is an odd positive integer}, which describes AC?
Aº = {xlx EU and is a negative integer}
AC = {x|x EU and is zero}
Aº = {x|x EU and is not an integer}
Aº = {xlx EU and is an even positive integer}
The option that describes the Complement A^c is; D: A^c = {x| x ∈ U and x is an even positive integer}
What is the correct set element description?If the Universal set, U = {all positive integers); and
A = {x|x ∈ U and x is an odd positive integer}.
Thus:
The complement of A is the set of the elements of the universal set which are not in A.
If a set is not odd, then it is even.
Thus:
A^c = {x| x ∈ U and x is an even positive integer}
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Simplify (5a)(5b) help me plz
Answer:
25ab
Step-by-step explanation:
(5a)(5b) -> Expand the brackets (multiply like terms together, etc) When the brackets are expanded, values can be multiplied, etc easily
25ab -> 5 multiplied by the other 5 gives 25; a multiplied by b gives ab
Sara has a piece of string measuring 3 yards. How many 1-inch strips can be cut from the string?
A- 108 strips
B- 72 strips
C- 36 strips
D- 12 strips
Answer:
A - 108 strips
Step-by-step explanation:
1 yard = 36 inches
3 yards = 108 inches.
If Sara cuts 1-inch strips, she will have 108 strips in total.
Hope this helps!
Answer:
A 108 strips
Step-by-step explanation:
1 yd = 3 ft
3 ft = 3 * 12 inches = 36 inches
3 yds = 3 * 36 = 108
If each strip is 1 inch, we can cut 108 1 inch strips
Kylie explained that will result in a difference of squares because . Which statement best describes Kylie’s explanation?
Answer: that not a real question it cant be answered has to be missing something
Step-by-step explanation:)
Answer:
Hi my name is Kylie "How You Doing" phrase from Friends, Joey
what is the correct way to find the distance between the points (9, 6) and (4, 1)?
Answer: Using the distance formula 5sqrt 2 is the answer
d=sqrt(x1-x2)^2+(y1-y2)^2
Step-by-step explanation:
d=sqrt(9-4)^2+(6-1)^2
d=sqrt(5)^2+(5)^2
d=sqrt 25+25
d=sqrt 50
d= 5 sqrt 2
Solve the system by the elimination method.
2x + y - 4 = 0
2x - y - 4 = 0
When you eliminate y, what is the resulting equation?
A.x = 0
B.4x = -8
C.4x = 8
Answer: C is correct, 4x=8
Step-by-step explanation:
You will add the two equations...
4x-8=0
Now you need to move the -8 over, which reverses its sign to positive.
4x=8
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take
10 men to dig a hole 7 metres deep?
Answer:
I think the picture here explains you everything
hope this helped
Answer:
8 days
Step-by-step explanation:
Identify the property used in each step of solving the inequality 3x – 2 > –4.
Answer:
Don't see the steps... but I will solve it and put the property next to each step I perform... And we will just hope my steps are exactly the same as theirs and my wording of the property is exactly the same as theirs.
3x-2>-4 Given
3x-2+2>-4+2 Addition property of Equality
3x+0>-2 Simplification and Inverse Property of Addition for -2+2
3x >-2 Simplification and Identity Property of Addition for 3x+0
3x/3 >-2/3 Division property of Equality
1x >-2/3 Inverse property of Multiplication for the 3*1/3 part
x >-2/3 Identity property of Multiplication for the 1x part
In the four-digit number ABCD, each letter represents a unique integer. When A is multiplied by B, the product is odd. When A is multiplied by C, the product is even. Which of the following four-digit numbers is even?
A. ABDC
B. CABD
C. ACDB
D. Cannot be determined from the information given.
Answer:
A
Step-by-step explanation:
Nice problem.
The only way you can get an odd number by multiplying two digits together is if they are both odd.
For example 5*7 = 35 which is odd. You cannot find 2 odd numbers that when multiplied will give an even.
That means that A and B are both odd.
Now if you multiply an odd and an even together, you always get an even.
For example 4 * 9 = 36 which is even.
Since A is known to be odd, C must be even. So the four digit number you want ends in C.
The Answer is A
Answer:
Step-by-step explanation:
The aaaa
If f.) = 2x2 + 1, what is f(x) when x = 3?
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 +1
Let x =3
f(3) = 2 (3)^2 +1
= 2 *9 +1
= 18 +1
= 19
Which equation represents the graphed function?
y=-3x + 3
0 y = 3x-3
© y= 3x - 1
y=-3x+3
Answer:
y = -1/3x +3
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (2-3)/(3-0)
-1/3
Then we know the y intercept( where it crosses the y axis)
It crosses at y=3
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = -1/3x +3
Answer:
[tex]y=\frac{-1}{3} x+3[/tex]
Step-by-step explanation:
Let frame the equation of the line using the points given on the graph
(0,3) and (3,2)
Equation of the line is y=mx+b
where m is the slope and b is the y intercept
To find slope we use formula
[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}[/tex]
Y intercept b is the point where the graph crosses y axis
y intercept b = 3
The equation y=mx+b becomes
[tex]y=\frac{-1}{3} x+3[/tex]
Does anyone know the answer to this question
ANSWER
[tex]\cos B = \frac{ \sqrt{3} }{3} [/tex]
EXPLANATION
The given triangle is a right triangle.
It was given that,
[tex]a = 1[/tex]
and
[tex]b = \sqrt{2} [/tex]
Using the Pythagoras Theorem, we can determine the value of c.
[tex] {c}^{2} = {( \sqrt{2} )}^{2} + {1}^{2} [/tex]
[tex] {c}^{2} = 2 + 1[/tex]
[tex]{c}^{2} = 3[/tex]
[tex]c = \sqrt{3} [/tex]
The ratio is the adjacent over the hypotenuse.
[tex]\cos B = \frac{1 }{ \sqrt{3} } [/tex]
We rationalize to get:
[tex]\cos B = \frac{ \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } = \frac{ \sqrt{3} }{3} [/tex]
Simplify into one fraction. -1/x-9 - -2/x+7
a. 1/(x-9)(x+7)
b. -3/(x-9)(x+7)
c. x-25/(x-9)(x+7)
d. -3x+11/(x-9)(x+7)
Answer: I think c but I am not sure
Step-by-step explanation: Hope this helps
[tex]\bf -\cfrac{1}{x-9}-\cfrac{-2}{x+7}\implies -\cfrac{1}{x-9}+\cfrac{2}{x+7}\implies \cfrac{2}{x+7}-\cfrac{1}{x-9}\impliedby \stackrel{\textit{our LCD is}}{(x+7)(x-9)} \\\\\\ \cfrac{(x-9)2~~-~~(x+7)1}{(x+7)(x-9)}\implies \cfrac{2x-18~~-~~x-7}{(x+7)(x-9)}\implies \cfrac{x-25}{(x+7)(x-9)}[/tex]
My fraction is 3/60 and my decimal is .05 so what's the percent?
Answer:
5%
Step-by-step explanation:
3/60 = 1/20 = 0.05. This is 0.05(100%), or 5%.
The change from one number to the next in a geometric sequence is called
the:
A. common difference.
B. arithmetic difference.
C. common ratio.
D. geometric ratio.
Answer:
C. Third option
Step-by-step explanation:
C is the correct answer, because the common ratio is a change from one number into the next in a geometric sequence.
Hope this helps!
On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz
is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has
pop quiz on the same day?
Final answer:
The probability that Nick oversleeps and has a pop quiz on the same school day, given the probability of oversleeping at 48% and pop quiz at 25%, is 12%.
Explanation:
To find the probability that Nick oversleeps and has a pop quiz on the same day, we need to multiply the probabilities of the two independent events occurring.
The probability of Nick oversleeping is 48% or 0.48, and the probability of him having a pop quiz is 25% or 0.25. Since the events are independent, the combined probability is:
Probability(Nick oversleeps and has a pop quiz) = Probability(Nick oversleeps) × Probability(has a pop quiz) = 0.48 × 0.25
When you calculate this, you get:
0.48 × 0.25 = 0.12
Therefore, the probability that Nick oversleeps and has a pop quiz on the same school day is 12%.
The probability that Nick oversleeps and has a pop quiz on the same day is 12%.
To find the probability that Nick both oversleeps and has a pop quiz on the same day, we use the concept of independent events in probability. When two events are independent, the probability of both events occurring is the product of their individual probabilities.
Let's denote:
P(O) = Probability that Nick oversleeps = 0.48
P(Q) = Probability that there is a pop quiz = 0.25
The formula for finding the probability of both independent events occurring is:
P(O and Q) = P(O) * P(Q)
Therefore:
P(O and Q) = 0.48 * 0.25 = 0.12
So, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.