Answer:
=35
Step-by-step explanation:
3(3) ^2 + 2(4)
= 3(9) + 8
= 35
Where you see a, substitute with 3 and where you see b, substitute with 4
Just follow the steps above.
[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]
[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]
[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]
[tex]\\ \sf\Rrightarrow 27+8[/tex]
[tex]\\ \sf\Rrightarrow 35[/tex]
What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.
The remainder of the equation is [tex]\rm x+1[/tex].
Given that,
When the equation is [tex]x^3+1[/tex] divided by [tex]x^2-x+1[/tex].
We have to determine,
The remainder for the equation?
According to the question,
The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]
Hence, The required remainder of the equation is [tex]\rm x+1[/tex].
For more details refer to the link given below.
https://brainly.com/question/25880057
Answer: a
Step-by-step explanation:
on edge
There are 32 vanilla cupcakes and 40 chocolate cupcakes at a bakery. All of the cupcakes must be placed in boxes with the same number of vanilla cupcakes and the same number of chocolate cupcakes in each box.
Answer:
5 to 4
Step-by-step explanation:
when it's asking for a ratio it's basically division
chocolate/vanilla = 40/32 = 5/4
5/4 is the same as 5:4 or 5 to 4
Interpreting Composite Functions in the Real World
Try it
The volume of air in a balloon is represented by the function von = = nr?, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function rt) = 42
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements
Answer:
Answer is A and C on edge
Step-by-step explanation:
The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.
What is composite function?When the two or more than two functions are written in the form of single function. Then such function is called the composite function.
Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,
[tex]f[g(x)][/tex]
The volume of air in a balloon is represented by the function,
[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]
Here, r is the radius of the balloon, in inches.
The radius of the balloon increases with time, in seconds, by the function,
[tex]r(t) = \dfrac{1}{4}t^2[/tex]
The composite function that can be used to determine the volume of the balloon after t seconds is,
[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]
After the 6 seconds,
[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]
Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.
Learn more about the composite function here;
https://brainly.com/question/10687170
#SPJ2
4.7.PS-10
Question Help
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
3x times 24 widgets
Step-by-step explanation:
Rewrite 4/8 : 1/4 as a unit rate pls help
the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also
2:1
A firm employs many clerical workers making near minimum wage salaries and a few executives making much higher
salaries, a report from this firm says in one place that a typical annual salary of an eemployee is $25,000 and in another
place that a typical salary is $30,000. Assuming one of these values is the mean annual salary and the other is the median
annual salary, which is which?.
Answer:
30000 is mean, 25000 is median
Step-by-step explanation:
Just a logical explanation
if you have a lot of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more
and with executives making a lot more, the mean is 30000
sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median
[tex]\sf -9(8-2h)[/tex]
Answer:
[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]
Answer:
[tex]-72+18h[/tex]
Step-by-step explanation:
[tex]-9(8-2h)[/tex]
[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-9(8-2h)[/tex]
[tex]-9\cdot8=-72[/tex]
[tex]-9\cdot-2=18[/tex]
[tex]=-72+18h[/tex]
Will Give Brainliest
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Use dist property
Subtract 3x from both sides
-3 = 3x - 60
Add 60 to both sides
57 = 3x
Divide both sides by 3
19 = x
Solve for W.
A=6W
help timed
Answer:
w = [tex]\frac{a}{6}[/tex]
Step-by-step explanation:
6w= a
---- ----
6 6
w = [tex]\frac{a}{6}[/tex]
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
solve the following equation
Answer:
X= -1/3 or 4
Step-by-step explanation:
Answer:
x =-1/3 and x=4
Step-by-step explanation:
solve by factoring:
separate into two equations:
3x+1=0
8-2x=0
(when the products of factors equals zero, at least one factor is zero)
3x=-1
x=-1/3
-2x=-8
x=4
Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options:$0.98$7.48$14.05$14.96
Answer: $14.96
Step-by-step explanation:
13.98 + .98 = 14.96
The total amount paid by Sally is $ 14.96
What is Sales Tax?
The Sales tax is calculated by the equation
Sales tax rate = Sales tax percent / 100
Sales tax = List price x Sales tax rate
Given data ,
List price of the shirt Sally bought = $ 6.99
Number of shirts Sally bought = 2 shirts
Total price of 2 shirts = 2 x 6.99
= $ 13.98
So , List price = $ 13.98
Sales tax rate = 7 %
Total amount paid by Sally = List price + Sales tax
Now , Sales tax is calculated by
Sales tax = List price x Sales tax rate
= 13.98 x 0.07
= 0.9786
Therefore , total amount paid by Sally = List price + Sales tax
= 13.98 + 0.9786
= $ 14.9586
≈ $ 14.96
Hence , the total amount paid by Sally is $ 14.96
To learn more about Sales tax click :
https://brainly.com/question/27092799
#SPJ5
There are 16 pieces of candy. Jack
has 5 empty bogs and puts 3 pieces
of candy nto each bag How many
pleces of candy are left?
Express 1 19/100 as a decimal
Answer:
1.19 if its not that its 0.19 but i believe its 1.19.
Step-by-step explanation:
Answer: 1.19 Is 1 19/100 as a decimal
Step-by-step explanation:
Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =
Answer: 3/25
Step-by-step explanation:
I need help with this without links
Answer:
36°
Step-by-step explanation:
I used an online protractor to solve it
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
thats easy B ur welcome !!!!
Answer:
The answer is B
Step-by-step explanation:
Which of the following choices is equivalent to the question 5(2x-1)=5(2x-1)=5(5x-14)?
2x- 1=5x-14
5(2x-1)=5x-14
2x-1=5
None of these choices are correct
Answer:
None of these choices are correct
4/3=8/x-1
Solve the equations
Answer:
= 24/7
Step-by-step explanation:
1. Find common denominator
2. Combine fractions with common denominator
3. Re-order terms so constants are on the left
HELP PLS! The dotplot below displays 26 students' scores on a 30-
point statistics quiz.
Which of the following statements best describes the
dotplot?
Statistics Quiz
O The distribution of quiz scores is skewed left with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is skewed right with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 24 and varies from
12 to 30. There are possible outliers at 12, 14, 15,
and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 26 and varies from
20 to 30. There are possible outliers at 12, 14, 15,
and 16.
10
30
15 20
25
Scores (in Points)
Answer:
Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.
The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
What is the correct option?The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.
To learn more about outliers, please check: https://brainly.com/question/27197311
SPJ2
f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
URGENT!!!!!!!!!!!!!!! :
m(x) = -1/2f(x - 3) - 1
Answer:
-1/2f I think
Step-by-step explanation:
distribute the -1/2
use differentiation rules
calculate all together
then simplify
Hope this helps
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.
Answer : 52 boys : 26 girls
Step - by - step explanation :
Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .
26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls
52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D
Solve for x: 4(x-5) 8. = 9y
Answer:
X=18y+5
EXPLANATION
4(X-5)/8 =9Y
(4X-20)/8 =9Y
4X-20=9Y×8
4X=72Y+20
X=(72Y+20)/4
X=18Y+5
Someone please answer this quickly!
Note: T is the center of the circle.
Here is my answer. I hope it is helpful.
expand and simplify (m+7) (m+3)
Answer:
m^2+10m+21
Step-by-step explanation:
Distribute:
m times m is m^2
m times 3 is 3m
7 times m is 7m
7 times 3 is 21
=> m^2+3m+7m+21
Add 3m and 7m
=> m^2+10m+21
Thus the equation is
m^2+10m+21
Hope this helps!
(m + 7)(m + 3)
= m(m + 3) + 7(m + 3)
= m² + 3m + 7m + 21
= m² + 10m + 21
____
Hope it helps ⚜
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one
[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]
L.H.S
[tex]\tt cos^2x \times sec^2x[/tex]
[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]
[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]
[tex]\tt 1[/tex]
R.H.S
Hence proved
Step-by-step explanation:
[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]
• Remember → 1 + tan²x = sec²x
[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]
• But sec²x → 1/cos²x
[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]
• Remember from the first identity of trignometry;
[ cos²x + sin²x = 1 ].
• Therefore: [ cos²x = 1 - sin²x ]
[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]
Hence proved.
