Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
Can someone help me plz I will mark brainliest
Answer:
1 solution
Step-by-step explanation:
There is exactly one solution because when both lines are graphed, they intersect at only one point, (1.5,-1).
Answer:
Either no solutions or infinite..
Step-by-step explanation:
I am not exactly sure, but I am taking a guess. IF this equation requires a definite answer, then no solutions. Otherwise, if x or y can equal to any number, then, infinite numbers. I would recommend to look at what other people say before reading this and taking a guess.
Find the area of a square with a side measurement of 3 1/2 inches.
Answer:
A=9
Step-by-step explanation:
[21+3(9)]/6+9
I need help
Answer:
the answer =7/6
=1.1666666667
Find the measure of the missing angle
Answer:
a = 151 degrees
Step-by-step explanation:
180 - 29 = 151
Answer:
151
Step-by-step explanation:
180 -29 = 151
.................................
Answer:
.................................
Step-by-step explanation:
WILL GIVE A BRAINLIEST
1 fourth as a decimal?
1 fourth as a fraction?
1 fourth as a percent?
3 fourths as a decimal?
3 fourths as a fraction?
3 fourths as a percent?
Answer:
1/4=0.25
1/4
1/4=25℅
3/4=0.75
3/4
3/4=75℅
Help me pls and explain
Answer:
A
Step-by-step explanation:
I believe it is A because there is not any repeating X's. There is a repeating y which is 1. Therefore it is A.
Seven out of every twenty soda bottles produced have caps indicating that the purchaser has won a prize. Which equation represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced? (Let w represent the number of bottles with winning caps, and let t represent the total number of bottles produced.) 1t OA. W= 20 7 -t B. W= 13 C. Zw = 20$ OD. Zw = 13t
Answer:
ihni
Step-by-step explanation:
35
Write 2 3/4 as an improper fraction
Answer:
11/4
Step-by-step explanation:
4/4 is 1 whole.
We have 2 whole.
So, right now we have: 8/4
We can't forget about the 3/4!
8/4+3/4=11/4
This means your total is 11/4
Hope this helps you out!
-AxekickNebulite
The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].
Used the concept of the fraction that states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].
Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex] into an improper fraction as,
[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]
[tex]= \dfrac{11}{4}[/tex]
Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Help!! How do I do 1 and 2
Answer:
1. The mode. 2. See below
Step-by-step explanation:
1. To find the mean, you need to add all the numbers up. So, add 24, 27, 31, 32, 36, 36, 36, 39, 40, 58, 58, and 59 to get 503. Then, you need to divide 503 by how many numbers there are, which in this case is 12. So, 503/12 ≈ 42. This number is rounded because it is a repeating decimal. The median is the middle number of the set when it is lined up in order of lowest to highest. In this case, we would need to add up the two middle numbers, 36 + 36, and divide by 2 to find the median. This is 54. The mode is the number that shows up most often. Here, this is 36. In this case, the mode best represents the data because the other two numbers are a bit too high.
2. Add 90 + 90 + 91 + 93 + 99 + 102 + 102 + 105 + 120 + 123 + 128 + 128 + 129 = 1523. Divide by 13 to get approximately 117, which is rounded because it is an ongoing decimal. The median is 102. In this case, we have 3 modes because more than one number occurs two times, so the modes are 90, 102, and 128. This one I'm unsure on since I haven't done this stuff in a while, and that's up to you. The modes give a pretty accurate representation of the range of the data, but then again so does the median and mean. It's up to you and what you've been taught.
Jackie has a sandbox that has two parts. A diagram of the sandbox is shown.
What is the total volume of the sandbox?
19 cubic feet
d)) 48 cubic feet
4 ft
1 ft.
3 ft
4 ft
22 cubic feet
28 cubic feet
Answer:
48 cubic feet
Step-by-step explanation:
Answer:
The answer is 48ft
Step-by-step explanation:
Hope this helps
If ABCD is a rectangle, BD = 2x + 5 and AC = 7x - 40. Find the value of BE.
Answer:
AC = 23
BD = 23
Step-by-step explanation:
ABCD is a rectangle,
AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
7x - 40 = 2x + 5
7x - 2x = 5 + 40
5x = 45
x = 45/5
x = 9
BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23
AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
Answer:
Average rate of change = 3
Step-by-step explanation:
We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].here a = -3 and b = 4
f(b) = f(4) = 27f(a) = f(-3) = 6⇒ Average rate of change = f(b) - f(a) / b - a
= (27 - 6) / (4 - (-3))
= 21 / 7
= 3
Therefore, Average rate of change = 3
Can someone tell me the answer to this 20 points
Answer:
B
Step-by-step explanation:
HURRY TIME LIMIT
A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop when it has matured. He decides to take a simple random sample of the crop. Which of the following correctly labels the population?
00–99
01–99
0–99
1–100
Answer:
00-99
Step-by-step explanation:
I got a 90% hope this wasn’t the one I got wrong :)
Answer:
A.
Step-by-step explanation:
00-99
Write an equation in point-slope form of the line that passes through the point (1, 6) and has a slope of −1/2
Answer:
y-6 = -1/2 * (x-1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope. Plug in (1,6) for (x1, y1) and -1/2 for m.
Zane's parents keep a chart on the wall where they mark how much Zane grows each year. When Zane was 15, he grew 3/5 of an inch and when he was 16, he grew 1/2 of an inch. In total, how much did Zane grow in during those two years?
Answer:
1 1/10 or 11/10
Step-by-step explanation:
Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.
Answer:
1.1 Inches
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. To get the common denominator I multiplied 3/5 by 2/2 to get 6/10 and I multiplied 1/2 by 5/5 to get 5/10 now that they have a common denominator you can add and you get 11/10 = 1.1
Need help with this one
Please and thank you
Answer: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.
Step-by-step explanation:
:)()()()()()()()()()())(()()()()()()()()()helppp
Answer:
13
hope this helps you
SOLVE FOR X WILL GIVE BRAINLEST
Answer:
The first one is -3
The second one is 2
Step-by-step explanation:
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
Learn more about distance formula here:
https://brainly.com/question/28956738
#SPJ6
I will give a brainlist if you help me with this! :))
Answer:
The length of [tex]\overline{AD}[/tex] is 20 inches
Step-by-step explanation:
The given parameters are;
Triangle ABC is similar to triangle DEC, therefore, we can write, ΔABC~ΔDEC
[tex]\overline{AC}[/tex] = 30 inches
[tex]\overline{BA}[/tex] = 18 inches
[tex]\overline{ED}[/tex] = 6 inches
By similar triangles formula, we have;
[tex]\overline{BA}[/tex]/[tex]\overline{ED}[/tex] = [tex]\overline{AC}[/tex]/[tex]\overline{DC}[/tex]
Substituting the known values gives;
18/6 = 30/[tex]\overline{DC}[/tex]
Therefore, [tex]\overline{DC}[/tex] = 30/(18/6) = 30/18 × 6 = 10
[tex]\overline{DC}[/tex] = 10
[tex]\overline{AD}[/tex] = [tex]\overline{AC}[/tex] - [tex]\overline{DC}[/tex] = 30 - 10 = 20
[tex]\overline{AD}[/tex] = 20 inches.
Which point below has a positive x-value and a negative y-value? Q RS on
Hey, Whats The answer please explain your answer marking brainliest:D...................................................
Answer:
C
Step-by-step explanation:
Difference means subtract, and the only one that has a subtraction included is C
struggling on getting my brain to understand how this works I HATE MATH
How would you describe probability?
Answer:Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Step-by-step explanation
A bank offers an annual simple interest rate of 9% on home improvement
loans. Tobias borrowed $20,000 over a period of 4 years. How much did
he repay altogether?
Answer:
Tobias repayed a total of $7,200.
Step-by-step explanation:
If Tobias borrowed $20,000, and the annual interest rate is 9% of this per year, then we need to find 9% of 20,000.
20,000 x 0.09 = 1,800
Therefore, the yearly interest rate is $1,800. Now, we need to multiply this by 4.
1,800 x 4 = 7,200
Therefore, Tobias repayed a total of $7,200.
Hope this helps! :D
Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23
Answer:
x = 5, y = -2
Step-by-step explanation:
2x + 5y = 0 --- Equation 1
Equation 1×3: 6x + 15y = 0 --- Equation 2
3x - 4y = 23 --- Equation 3
Equation 3×2: 6x - 8y = 46 --- Equation 3
We will be eliminating 6x from Equation 2.
Equation 3-2: 6x - 8y - 6x - 15y = 46-0
-23y = 46
y = 46 ÷ -23
y = -2
Substitute y = -2 into Equation 1:
2x + 5y = 0
2x + 5(-2) = 0
2x + (-10) = 0
2x - 10 = 0
2x = 10
x = 10 ÷ 2
x = 5
Please help me in this Im failing.
Answer:
B and C
Step-by-step explanation:
The graph of a line has slope 3/2 and passes through the point (-2, 4). Which point is on this line?
(0, 7)
(1, 6)
(2, 11)
(4, 1)
Answer:
(2, 11)
Step-by-step explanation:
Answer:
(1, 6)
Step-by-step explanation: