Answer:
Explained below
Step-by-step explanation:
Polynomial Roots
If x=a is a root of f(x), then f(a)=0
We will test the following functions to check if a=2 is a root.
[tex]h(m)=8-m^3[/tex][tex]h(2)=8-2^3=8-8=0[/tex]
Thus m=2 is a root of h
[tex]f(g)=g^3-2g^2+g[/tex][tex]f(2)=2^3-2\cdot 2^2+2[/tex]
[tex]f(2)=8-2\cdot 4+2=8-8+2=2[/tex]
Thus g=2 is not a root of f
[tex]f(a) = a^3 - 4a^2 + a + 6[/tex][tex]f(2) = 2^3 - 4\cdot 2^2 + 2 + 6[/tex]
[tex]f(2) = 8-16+8=0[/tex]
Thus a=2 is a root of f
[tex]f(x) = x^3 - x^2 - 4[/tex][tex]f(2)=2^3 - 2^2 - 4[/tex]
[tex]f(2)=8 - 4 - 4=0[/tex]
Thus x=2 is a root of f
Answer:
answers are A, C, and D
Step-by-step explanation:
THIS IS CORRECT
Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer:
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=7500\hspace{35px}r=0.015\hspace{35px}t=8
P=7500r=0.015t=8
Given values
A=7500e^{0.015(8)}
A=7500e
0.015(8)
Plug in
A=7500e^{0.12}
A=7500e
0.12
Multiply
A=8456.22638685
A=8456.22638685
Use calculator (with e button)
A\approx 8500
A≈8500
Round to nearest hundred dollars
Step-by-step explanation:
The amount of money to the nearest hundred dollars that would be in the account after 8 years is $60,900.
What is the future value of the account?The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate7500 x e^0.015 x 8 = $60,900
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The value of w varies directly with z. If z = 4, then w = 12. What is the value
of w when z = 6? (TEKS: A2D)
Answer:
18
Step-by-step explanation:
w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:
w = kz
When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:
12 = 4k
Dividing both sides by 4:
12/4 = 4k/4
k = 3
Therefore the equation becomes:
w = 3z
The value of w when z = 6 is given as:
w = 3(6)
w = 18
1. f(x) = 2^-2x + 3
T-chart:
End behavior:
2. f(x) = (½)^ (x - 1)
T-chart:
End behavior:
3. j(x) = -2 (3/2)^x
T-chart:
Asymptotes:
End behavior:
4. g(x) = -3x
T-chart:
End behavior:
Step-by-step explanation:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
helpp please i need your helppppp
Answer:
1/2 or .5
Step-by-step explanation:
If you type in ur calculated you get .5 all you have to do is -.8 times by -5/8
Answer:
0.5
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
1) B
2) A
Step-by-step explanation:
B because we use pemdes and for 2 they answers are both equivalent
Answer:
1) B. Add/subtract the same quantity to/from both sides
2) Yes
Step-by-step explanation:
To answer Part B, we have to answer to equation.
Step 1- Add x to both sides of the equation.
4x+2= 6-x
+x +x
5x+2= 6
Step 2- Subtract 2 to both sides of the equation.
5x+2= 6
-2 -2
5x= 4
Step 3- Divide 5 to both sides of the equation.
5x= 4
5 5
This gives us 4/5 or 0.80.
So, the answer is yes to Part B.
Hope this helps!
Select the correct answer.
The product of two numbers, x and I + 3, is 550. Which equation could be solved to find the value of the smaller number, x?
CA. 12 + 3.1 = 550
B. 12 + 3 = 550
C. 31 + 3 = 550
D. 322 = 500
Reset
Next
Answer:
the answer on plato is x^2+3=500
True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False
Answer:
True.. :) Have a nice day.
Step-by-step explanation:
TRUE , the two system of equations are equivalent
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
We have two sets of equations
Let the first set of equation be A
Let the second set of equation be B
Equation set A :
6d + 4.5e = 16.5 be equation (1)
5d + 0.5e = 4 be equation (2)
Equation set B :
30d + 22.5e = 82.5 be equation (3)
5d + 0.5e = 4 be equation (4)
Now , we can see that Equation (3) is a multiple of Equation (1)
Multiply equation (1) by 5 , we get
5 ( 6d + 4.5e = 16.5 )
30d + 22.5e = 82.5 be equation (5)
Therefore , equation (5) = equation (3)
So , equation (1) = equation (3)
And , equation (2) = equation (4)
Therefore , Equation set A is equivalent to Equation set B
Hence , the two system of equations are equivalent
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Jason is going to a basketball game 5 miles away from his home. He has only 30 minutes to get there before the game starts. At what average speed must he ride his bike to get to the game on time?
Solve and answer in complete sentences!
Answer:
6 min
Step-by-step explanation:
Eighth grade
W.15 Find the number
You have prizes to reveal! Go
How many solutions does this equation have?
-4p + 8 = -2p
no solution
one solution
infinitely many solutions
Answer:
one solution because you combine like terms and your answer is p=4
3 (4x - 2) - 30 = -6 (6 - 2x) - 20
A.Infinite Solutions/Identity
B.No Solution
C.x = 0
D.x = 1
show work please
Answer:
B.
Step-by-step explanation:
3(4x-2)-30=-6(6-2x)-20
12x-6-30=-36+12x-20
12x-36=12x-56
Which of the following properly describe "slope"? Select all that apply.
2279
Y
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answer:
The answer is A, D, and E. The first answer and then the last two.
Step-by-step explanation:
The first answer and then the last two.
Hi Krystal, when you submit this form, the owner will be able to see your name and email address,
1. A is located ( 1,-1) and B is located (4,4) Find the coordinates of point p that partition
AB in the ratio 1:4. 03
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I
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Answer:
hi Krystal , I am Felicia
State the solutions of the equation |x| + 2 = 4.
I think thats 2
Because 2+2=4
Please show your work? A pool of possible candidates for a student council consists of 14 freshmen and 9 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?
28,828,800
1,352,078
72,072
943,286,400
Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
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At the fabric store, you spent $51.30 for 15 yards of fabric. How much did each yard cost
In a medical research study, a researcher selects a hospital and interviews
all the patients that day. Which sampling method is being used?
Answer:
vtgg
Step-by-step explanation:
1. Convert 23,400 g into milliliters
Answer:same number i think
Step-by-step explanation:
the sum of three consecutive odd integers is 57. what are three integers.
Answer:
17,19,21
Step-by-step explanation:
Let x be the smallest integer
x+x+2+x+4=57
3x+6=57
3x=57-6
3x=51
x=51/3
x=17
17,19,21
PLEASE SOMEONE HELPP ASAP
Sally's soccer team played 25 games and won 17 of them. What percent did the team win
Answer:
68%
Step-by-step explanation:
Answer:
Sally's soccer team won 68% of the games they played.
Solve for b: 3ab = -7
Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.
Hope this helps!!
A bag contains 20 counters. 12 of the counters are green. A counter is picked at random. What is the probability that it is green? Give you answer as a fraction.
Answer:
12/20 since the counter of green is of 12 out of 20 to be drawn.
9=4(s-3)
Help me what’s the correct answer?
Answer:
s=5 1/4
Step-by-step explanation:
Have a wonderful day
which representation does not show y as a function of x
A horseshoe with nails weighs 8.2 ounces. Six nails are in each horseshoe. Each nail weighs 0.2 ounces
What is the weight of the horseshoe without the nails?
PLEASE HELP FAST
write an inequality and solve it
Answer:
1>2x
Step-by-step explanation:
1>2x
1/2= one half
2x/2= x
one half>x
Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?
A. 32
B. 5
C. 4
D. 22
4 games as:
5.59 * 8 = 44.72
178.88/44.72 = 4
Answer = C. 4
Mark as Brainliest please
PLEASEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYY SOMEONEEEE
Answer: C = 30 - 3t
Step-by-step explanation: he starts with 30 therefore having 30 on day 0 and he eats 3 daily so day 1 would be 27 day 2 24 and so on
Please help with this, it's due today and I don't really understand it.
Answer:
Check description
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.
Emmett buys an emerald pendant priced at $527.50. Shipping and handling are an additional 12% of the price. How much shipping and handling will Emmett pay?