Answer:
a) x^(2) + 2x + 1
b) x^(2) + 1
c) 16
d) 1
Step-by-step explanation:
f(x) = x^(2)
g(x) = x + 1
a)
f(g(x))
input g(x) into f(x)
f(x+1) = (x+1)^(2)
= x^(2) + 2x + 1
b)
g(f(x))
input f(x) into g(x)
g(x^(2))
x^(2) + 1
c)
f(g(3))
Use the equation found in part a, substitute in 3 for x
(3)^(2) + 2(3) + 1
= 9 + 6 + 1
= 16
d)
Use the equation found in part a, substitute in 0 for x
(0)^(2) + 2(0) + 1
= 0 + 0 + 1
= 1
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Answer:
monke
Step-by-step explanation:
monke
Answer:
sdmcssv sdvnskdnksnlknvksj sd jn jksnjkd ns dj s j ks kasd
Step-by-step explanation:
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Hope this helped!
1 1/2 x 4 1/4 = ?
PLZ ANSWER QUICKLY
What is the sum of the first 34 numbers in the series below?
147 + 130 + 113 + 96 + . . .
-4,828
-4791
-4539
-4131
Answer:
-4539
Step-by-step explanation:
147 + 130 + 113 + 96 +
arithmetic, with
a = 147 and d 130 - 147 = -17
Sn = (n/2)(2a + d(n - 1))
S34 = (34/2)(2*147 - 17(34 - 1))
= 17(294 - 561)
hope it helps!
Answer:
What’s pad let?
Step-by-step explanation:
1 4/7
_______
- 15/ 21
Answer: -11/5
Step-by-step explanation:
[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]
-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]
-11×[tex]\frac{3}{15}[/tex]
-11 × [tex]\frac{1}{5}[/tex]
Please help me I really need to turn this in !!!! Please
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given the table
Year Value ($)
1 18,000
2 15,300
3 13,005
Let us check the sequence
18000, 15300, 13005,...
Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:
[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]
As the ratio of all the adjacent terms is the same, so
[tex]r=\frac{17}{20}[/tex]
Therefore, the given sequence is a geometric sequence
Part b)
Given the sequence
18000, 15300, 13005,...
The nth term of the geometric sequence is
[tex]a_n=a_1\cdot r^{n-1}[/tex]
here
[tex]a_1=18000[/tex]
[tex]r=\frac{17}{20}[/tex]
so
[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]
In order to determine the car worth in the 15th year, substitute n = 15
[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]
[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]
[tex]a_{15}=18000\times \:\:0.10276[/tex]
[tex]a_{15}=1850[/tex] $
Therefore, the worth of a car in the 15th year will be: $1850
Plz help plz I’m begging I will give brainliest
Answer:
B is the answer.
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.
(can i get brainliest now)
Simplest form of -1 5/8 divided by 5 8/9
Answer:
the answer is -117/424, hope this helps :)
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−7x+3
y=−x−3
Answer:
(1,-4)
Step-by-step explanation:
Given:
y = −7x+3
y = −x−3
Computation:
y = −7x+3......eq1
y = −x−3.......eq2
Eq 1 - 2
-6x + 6 = 0
x = 1
So,
y = −7x+3
y = −7(1)+3
y = -4
So,
(1,-4)
solve for a 2a + ab = b
4. Charles claims that he can distinguish between beer and ale 75 percent of the time. Ruth bets that he cannot and, in fact, just guesses. To settle this, a bet is made: Charles is to be given ten small glasses, each having been filled with beer or ale, chosen by tossing a fair coin. He wins the bet if he gets seven or more correct. Find the probability that Charles wins if he has the ability that he claims. Find the probability that Ruth wins if Charles is guessing.
Answer: Probability that Charles gets 7 or more correctly = 0.776
Probability that Ruth wins = 0.827
Step-by-step explanation:
Given data:
Probability that Charles distinguishes between beer and ale = 0.75
no of glasses = 10
no required to win the bet = 7 or more.
Solution:
a) probability of success p=0.75.
This is a binomial probability problem, what we need to solve for is the probability that ( X >=7 ) this can be gotten as
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
where k=7,8,9,10
Probability that he gets 7 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
Substitute k = 7 into the equation
= 0.250
Probability that he gets 8 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
substitute k = 8 into the equation
= 0.282
Probability that he gets 9 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
Substitute k = 9 into the equation
= 0.188
Probability that he gets 10 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
Substitute the k= 10 into the equation.
= 0.0563
Probability that Charles gets 7 or more correctly
= 0.250 + 0.282 + 0.0563 + 0.188
= 0.776
b) Probability that Ruth wins
K = 1,2,3,4,5,6
p=0.5
P(X < 7)
P(X < 7) = (10Ck) (.5)^k (1-.5)^(10-k)
Probability that he gets one correctly
P(X = 1 ) = (10Ck) (.5)^k (1-.5)^(10-k)
substitute k= 1 into the equation.
= 0.0098
P(X=2) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k= 2 into the equation
= 0.0439
P(X =3) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k=3 into the equation.
=0.117
P(X=4) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k= 4 into the equation
= 0.2051
P(X=5) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k =5 into the equation
= 0.246
P(X= 6 ) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k = 6 into the equation
= 0.205
Probability that Ruth wins
= 0.205 + 0.246 + 0.2051 + 0.117 + 0.0439 + 0.0098
= 0.827
Please help I need this answer. Answer ALL 3 questions to get free brainliest.
Tyler’s brother works in a shoe store.
A: Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
B: The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?
C: Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Answer:
a. $22.50
b. 60%
c. $12.60/hr
Step-by-step explanation:
a. $900*0.025 = $22.50
b. $80-$50 = $30
$30/$50 = .60
.60*100% = 60%
c. $12*1.05 = $12.60
Answer:
1. $22.50
2. 60%
3. $12.60
Step-by-step explanation:
This time I put all three answers check for yourself
How can u find the perimeter in a graph
What is 3/4 divided by 12?
Answer: 0.0625
Step-by-step explanation:
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
How much shampoo concentrate should Devin add to the water to make the shampoo solution?
Answer:
8 cups of shampoo concentrate
Step-by-step explanation:
let x=how much shampoo concentrate Devin should add
[tex]\frac{2}{9} =\frac{x}{36}[/tex]
cross multiply
2*36=9x
72=9x
72/9=x
x=8
Devin should add 8 cups of shampoo concentrate to the water to make the shampoo solution.
Let $p$ and $q$ be the two distinct solutions to the equation $$(x-3)(x+3) = 21x - 63.$$
If $p > q$, what is the value of $p - q$?
Given:
p and q are the two distinct solutions to the equation
[tex](x-3)(x+3)=21x-63[/tex]
To find:
The value of p-q if p>q.
Solution:
We have,
[tex](x-3)(x+3)=21x-63[/tex]
[tex](x-3)(x+3)=21(x-3)[/tex]
[tex](x-3)(x+3)-21(x-3)=0[/tex]
[tex](x-3)(x+3-21)=0[/tex]
[tex](x-3)(x-18)=0[/tex]
Using zero product property, we get
[tex]x-3=0\text{ and }x-18=0[/tex]
[tex]x=3\text{ and }x=18[/tex]
Here, 18>3, so p=18 and q=3.
Now,
[tex]p-q=18-3[/tex]
[tex]p-q=12[/tex]
Therefore, the value of p-q is 12.
Answer:
The answer is 5, the "Expert Verified" is wrong :)
Step-by-step explanation:
First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.
6 ×3(2+9)..can you give the answer of it please
Answer:
Hope this may helps you
Step-by-step explanation:
6×3(11)
6×33
198
Answer:
198
Step-by-step explanation:
6 ×3(2+9)
= 6×3×11
= 6×33
= 198
please help!Thank you so much
Answer:
An equation is a math sentence that DOES contain an equals sign (=).
The inverse of addition is subtraction.
The inverse of subtraction is addition.
The inverse of multiplication is division.
The inverse of division is multiplication.
Step-by-step explanation:
I'm sorry if I got the first one incorrect.
J(3x3- 5x2 + 3x + 4) dx
Multiply. Write in simplest form. 2 1/2 x 1 1/2
Answer:
3.75 or 3 3/4
Step-by-step explanation:
Answer:
3.75 or 3 3/4
Step-by-step explanation:
2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75
Hope it helps!
What is the missing numbers to this equation please
? - (? × ?)=90
Answer:
-0(10 x 9)=90
Can someone help me out.
Answer:
63 sq
Step-by-step explanation:
9*7
In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.
Answer:
C. Right and isosceles
Explanation:
Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.
Hope this helps :)
Answer:
It is C.
Step-by-step explanation:
Hope this helped have an amazing day!
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
hii if you answer correctly i will give you brainliest pls as soon as possible
Answer:
x = 14 degrees
Step-by-step explanation:
There are a minimum of 4 triangles that this polygon can be divided into.
Hence, the total internal angle is (4*180) degrees = 720 degrees.
Therefore, 10x + (8x-16) + (12x-8) + (7x+2) + (9x+4) + (6x+10) = 720 degrees.
52x - 8 = 720 degrees
x = 728/52 degrees
x = 14 degrees
Hope this helped!
16 liters to quarts (dry measure)
Answer:
16 litres =14.53 US qt dryStep-by-step explanation:
Please mark my answer as a brainliest. ❤❤❤Help me with math question please, will give 20 points
in step 2 he made his first mistake
1/2(n-4)-3=3-(2n+3)
1/2n-4/2-3=3-(2n+3)
1/2n-2-3=3-(2n+3)
in the second step he put 5 instead of 2.
Which describes the graph of y=(x+3)^2-4?
Answer:
(D). Opens up with vertex at (- 3, - 4)
Step-by-step explanation:
Vertex form of quadratic equation is f(x) = a(x - h)² + k
If a > 0 the parabola is facing up , or down if a < 0 .
(D). Opens up with vertex at (- 3, - 4)
true or false all states have a sale tax
Answer:
False
Step-by-step explanation:
As of 2017, 5 states (Alaska, Delaware, Montana, New Hampshire and Oregon) do not levy a statewide sales tax. California has the highest base sales tax rate, 7.25%. Including county and city sales taxes, the highest total sales tax is in Arab, Alabama, 13.50%.
Rewrite the equation y-31x= 93 as a function of x.
Answer:
g(x) = 31x + 93
Step-by-step explanation:
Find the value of the expression. 12 - (-13) + (-1)
Answer:
24
Step-by-step explanation:
Answer:
The value is equvilant to 24
12−(−13)−1
=24
The problem was already simplified-
Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!