The coefficient of (3y² + 9)5 is 15.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is 15.
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Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64
Step-by-step explanation:
step 1. (x^2 + 14x + 49) + 15
step 2. (x + 7)^2 + 15.
Write the answer in its simplest form. -8 + 13
Answer:
5
Step-by-step explanation:
-8 + 13 is equal to 5. It is positive since the larger number is positive.
How many gallons of gas would it take to drive 13,500 miles? (URGENT)
Answer:
24 gallons :)
Step-by-step explanation:
if you can help me i’ll make brainliest
Answer:
help me
Step-by-step explanationok so
Answer:
pts
Step-by-step explanation:
-30=5(x+1) x=?
please help
Answer:
x = -7
-30 = 5(x + 1)
5(x + 1) = -30
5(x + 1)/5 = -30/5
x + 1 = -6
x + 1 - 1 = -6 -1
x = -7
An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?
Answer:
719 kilometers
Step-by-step explanation:
6,471/9 = 719
that's the unit rate
Answer:
719
Step-by-step explanation:
6,471/9=719
719*9=6,471
which means the correct answer is 719
YW!!
can someone tell the answers?
Answer:
IT B
Step-by-step explanation:
BECAUSE IT B
Answer:
A. B and D
Step-by-step explanation:
A because: X can be the minutes she goes over
B because: X can be the customers coming in for breakfast
D because: X can be every ticket
it can't be C because you would take away the eggs not add
Assume that the lines are parallel.
Answer:
left ?= 110
right?= 70
Step-by-step explanation:
The area covered by a topic lie plant triples every year. By what factors does the are covered by the plant increase every month?
Answer:
16.67%
Step-by-step explanation:
If area triples every year :
This means that :
With an initial area of 10;
Area at the end of the year = 3 * 10 = 30
Percentage increase per year :
(30 - 10) / 10 * 100%
(20 / 10) * 100%
2 * 100%
= 200% per year
Therefore, monthly increase %
Yearly % increase ÷ number of months in a year
200% ÷ 12
= 16.666666%
= 16.67%
3/8÷5/2
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Answer:
3/20
Step-by-step explanation:
what is the equation of a line that passes through points (0,7) and( 2,8)write your answer in slope intercept form
Answer:
(0,7) and (2,8)
slope =8-7=1
2-0=2
m=1/2 meaning slope
equation=y-7/x-o=1/2
2(y-7)=1(x-0)
2y-14=x -o
2y=1x +14
y =1/2 x +7
Step-by-step explanation:
to get the slope is y 2-y 1 divide by x 2-x 1 to get 1/2
you then take one point as (x,y) and one of the coordinates =the slope
then you divide by the 2 on both sides in order to get y=mx + c
a tree is broken at a height of 6 cm from the ground and its top touches the ground at a distance of 8cm from the base of the tree . find the original height of the tree pls do to step to step explaination
Answer:
I guess its 16
Step-by-step explanation:
Because
Hieght =6cm
Base = 8cm
Hypotenuse=?
by pythagoras formula = a^2+b^2=c^2
6 *6 + 8*8 =c^2
36 + 64 = c^2
100 =c^2
Root of 100 is 10
so the whole tree is = to 10 +6 =16
what is one astronomical unit in inches
Answer:
5.89E+12
Step-by-step explanation:
porfis ayúdenme es para hoy
Answers:
1. V=triangle area × length
V=1/2×8×12×20
V=960in³
2. triangle area × length
Area of the triangle=1/2×4×11
A=22ft²
V=22×6
V=132ft³
3. b, volume always have cubic power (³)
4. d, same reason of question 3
2 Do the following calculations
a) 55,8965 + 12,443 x 3
b) (6 x 3) - 4 + 26 - 2
c) 44,65 = 3 x 11,11 + 68
d) 24 - 16 + 3 + 5 - 6 + 10 - 2
e) 15 = (2+2)
Answer:
a) 93,2255
b)38
c)false
d)18
e)false
Find the measure of arc BC
Answer:
The measure of the Arc BC is 80
Please help will give brainliest!
Answer:
Should be 1 if im not wrong Then Mark Me brainliest
Step-by-step explanation:
a negative times a neg equals a posative
Neg x pos = neg
pos x neg = neg
pos x pos = pos
neg x neg = pos
so if there greater then over neg<, >,=
You would look at the problem for given f(x)=
x → -1 and neg times neg more or less
-1 x -1 = 1
Can you help me please
Answer:
D?
Step-by-step explanation:
if i got it wrong im truly sorry
x² + y² = 49
Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.
Answer:
1....y=7
2...x=7
3...y=5
4...y=6
5...x=2√10
Rizwan has 100 ruppees . He spent rs 25 in ice cream . Rs 45 on pizza, and the rest on other things . What percantage did he spend on other things .
Answer:percantage spent on other things = 30%
Step-by-step explanation:
Percentage spent on other things = Money spent on other things/ Total money x `100/ 1
Money spent on rest things = Total money - ( Money spent on ice cream + Money spent on pizza)
100 -(25+ 45)
100-70= Rs 30
Percentage spent on other things = Money spent on other things/ Total money x `100/ 1
= Rs 30/ Rs 100 x 100
0.3 x 100 = 30%
5. A jewelry supply shop buys silver chains from a manufacturer for $45.00. and then sells the
chains at a 57% markup. What is the retail price of a silver chain?
A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$626.75
Step-by-step explanation:
First, we must find how much tax will be added to the TV's price:
Step 1: Convert the percentage to a decimal:
To convert a percentage to a decimal, divide it by 100
8.25/100 = 0.0825
Step 2: Multiply the TV's price by that decimal:
578.98 * 0.0825 = 47.76585
So $47.76585 will be added to the price
Now, we can calculate the total price:
Step 3: Add the tax we jsut calculated to the TV's price to find total price:
578.98 + 47.76585
= 626.74585
Step 4: Round to the nearest cent (2 decimal places)
626.75
So the total price is $626.75
What is the measure of arc BD?
Step-by-step explanation:
step 1. mBD = 63°. The arc angle measures the same from the center of a circle.
AYO HELP A MAN OUT PLEASE
Answer:
I think it's A I'm not sure tho
Step-by-step explanation:
the answer is A and I think C I don't know though ur welcome!:)
Ronald bought 1.5 pounds of red apples and 0.75 pounds of yellow apples. He bought 1.6 times as many pounds of green apples as red apples and yellow apples combined.
How many pounds of green apples did Ronald buy?
Answer:
To find the number of green apples he bought, We do the following:
calculate the total mass of red and yellow apples bought 1.5+0.75=2.25 poundsSince the mass of green apples bought was 1.6 times the combined mass of yellow and red apples bought we get;2.25×1.6=3.6pounds He bought 3.6 pounds green applesy=4x+6 2y=8x+12 what’s the solution is it one solution, no solution, or infinitely many solutions
Answer:
Infinitely many solutions.
Step-by-step explanation:
y=4x+6
2y=8x+12
------------
simplify 2y=8x+12 into y=4x+6
y=4x+6 matches the second equation.
If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?
Answer:
f(g(x))=1x^2 +-2x+1
Step-by-step explanation:
your inputs should be
1
-2
1
If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{2}[/tex]
g(x) = [tex]x -1[/tex]
f(g(x)) = [tex](x-1)^{2}[/tex]
It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]
= [tex]x^{2} -2(x)(1) +1^{2}[/tex]
= [tex]x^{2} -2x+1[/tex]
f(g(x)) = [tex]1x^{2} -2x+1[/tex]
Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
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Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
Answer:
[tex] - 8x + 120y - 56[/tex]
Step-by-step explanation:
evaluate the power calculate
[tex]8(1 x + 3 \times 5y - 7[/tex]
the coefficient of 1 doest have to be written but keep the sign
[tex]8( - 1x + 15y - 7[/tex]
remove the parentheses
Choose the two number sentences that are true.
A. 5+7= 11+2
B. 3 + 3 = 20 - 9
C. 5+9 = 19 - 4
D. 12 +7 = 5 + 14
E18 - 6 = 15 - 1
Answer:
D
because 12+7=19
5+14=19
The bag has 2 yellow cubes, 5 green cubes, and 3 red cubes. Without replacing the yellow cube, what is the probability of selecting a red cube at random?