[tex]\\ \rm\Rrightarrow (f+g)(x)[/tex]
[tex]\\ \rm\Rrightarrow f(x)+g(x)[/tex]
[tex]\\ \rm\Rrightarrow x^2-4x+6+2x^2+2x-5[/tex]
[tex]\\ \rm\Rrightarrow 3x^2-2x+1[/tex]
Done!
Answer:
[tex](f+g)(x)=3x^2-2x+1[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\textsf{Given functions}: \quad f(x) &=x^2-4x+6\\g(x) &=2x^2+2x-5\\\end{aligned}[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\& =(x^2-4x+6)+(2x^2+2x-5)\\& =x^2-4x+6+2x^2+2x-5\\& =x^2+2x^2-4x+2x+6-5\\& =3x^2-2x+1\end{aligned}[/tex]
Determine whether the following situation would produce a random sample. Write Yes or No and explain your answer. Two hundred students at a school basketball game are surveyed to find the students' favorite sport. a. Yes, students preferring different sports may be in the group. b. Yes, this may be the only sporting event occurring that day. c. No, students attending this event are more likely to enjoy basketball. d. No, student attendance may have been required at this event.
Answer:
c.
Step-by-step explanation:
Students who have chosen to attend a basketball game are more likely to like basketball.
A storage rental company charges $1 for
the first month and $25 per month for the next
two months. After three months, the cost is
$20
per
month. How much would it cost to
rent a unit for 10 months?
A $151
$
B
$171
C$191
D
$211
Answer:
C
Step-by-step explanation:
Jan:1$
Feb and March: 50$
April to Oct: 140$
=>1+50+140=191
244 people must be split into 4 equal groups. How many people in each group
Answer:
61 people per each group
Step-by-step explanation:
244/4= 61
Answer: 61 people in each group
Step-by-step explanation: 244 divided by 4 is 61
If cos0=1/4, what is the value seco?
Answer:
[tex]\sec\theta=4[/tex]
Step-by-step explanation:
Recall the reciprocal identity [tex]\displaystyle \sec\theta=\frac{1}{\cos\theta}[/tex], thus, [tex]\displaystyle \sec\theta=\frac{1}{\frac{1}{4}}=4[/tex]
Help!
Simplify: 9log9(4)
Answer:
hope this will help you
Step-by-step explanation:
Let x = 9log9(4)
x = 9[log(4)/log(9)]
x = 9*0.6224
x = 5.6016
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Answer:
Option A is correct.
Step-by-step explanation:
1. solve the inequalities
2. find the intersection :)
HELP ME PLEASEEEEE ASAP TYYYY
Step-by-step explanation:
with 2 dice we have 6×6 = 36 possible outcomes.
you know
1, 1
1, 2
1, 3
...
6, 6
from these 36 possible outcomes only the following have a sum of 4 :
1, 3
2, 2
3, 1
so, 3 out of 36.
that mags the probability is
3/36 = 1/12
the first answer option is correct.
The ratio of orange juice concentrate to water that Zoe used to make orange juice yesterday was 3 : 7. She used 14 ounces if water in the juice yesterday. Today she wants to make twice as much orange juice.
Is the relationship between the amount of orange juice concentrate c and the amount of water w proportional? Explain.
Answer:
12:28
Step-by-step explanation:
yesterday the ratio would be 6:14 so then you double that to get 12:28
solve this question please
The value of y in y = 5x if the value of x doubles itself is y also doubles itself; option A
How to solve equation?y = 5x
if x = 2
y = 5(2)
y = 10
if the value of x doubles, for instance, if x = 4
y = 5(4)
y = 20
y = 5/x
if x = 0.5
y = 5/0.5
y = 10
if the value of x triples, for instance, if x = 0.125
y = 5/x
= 5/0.125
y = 40
The value of y in y = 5/x if the value of x triples itself is y also triples itself; option B
Learn more about equation:
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HELP! I'll give brainliest.
2x+6 ≤x+3<3x+11
Solve the inequality, and please show your work. Thanks in advance!
Answer:
-4 < x ≤ -3
Step-by-step explanation:
Separate it into 2 inequalities
2x+6 ≤x+3
x ≤-3
x+3<3x+11
-8 < 2x
x > - 4
Combine the 2 results
-4 < x ≤ -3
Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art.
science: MAD of 1.14
math: MAD of 1.6
Spanish: MAD of 1.2
art: MAD of 1.93
In which class were his scores the closest together?
science
art
Spanish
math
HELPPPP!!!!
Answer:
The answer would be Science.
I don't know how to explain it just yet :(
Which equation represents the polar form of x – y = 0?
Answer:
x means 2 and y means -2
Step-by-step explanation:
This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
needed to completely cover the backyard.
Answer:
39 yd^2
Step-by-step explanation:
First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 = 3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.
What expression is equivalent to 1-2 sin^2x?
I know the answer is 2cos^2x-1, but unsure how to solve it. Do I use the Pythagorean identity to start?
Thanks!
Answer:
1-2*sin^2 (x) = 2cos^2(x) -1
Step-by-step explanation:
1-2sin^2(x)
= 1-2(1-cos^2(x)) =2cos^2(x)-1; Pythagorean identity, sin^2(x)=1-cos^2(x)
=1-2+2cos^2(x)=2cos^2(x)-1; distribute
= -1+2cos^2(x)=2cos^2(x) -1; collect and rearrange terms
= 2cos^2(x)-1 = 2cos^2(x)-1
What is the solution of following system of equations y=2x-3 4x-3y=31
Answer:
(-11, -25)
Step-by-step explanation:
Use substitution.
Jamie has 9 gallons of paint that she needs to pour into containers that
hold 0.75 gallon. How many containers will she need?
Answer:
12:)
Step-by-step explanation:
ast year Ryan went to school for 36 out of 52 weeks. Which fraction is
NOT equivalent to 367
52
A
DO
음
76 Els to lo
C
O
26
Answer:
76/26
Step-by-step explanation:
ANS IN 10M
5.
(04.01)
The graph represents function 1, and the equation represents function 2:
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6.
Function 2
y = 2x + 7
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
1
2
3
4
The rate of change of function 1 is 2
What is line?A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.
Given function: y = 2x + 7.
As the graph of function 1 is not given.
the rate of change of function 2 : y = 2x + 7.
As the the value of m or rate of change of above equation is 2
m=2.
as, the horizontal line passes, the rate of change is 0
Hence, rate of change is 2.
Learn more about this concept here:
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Answer:
learn
Step-by-step explanation:
19. The area of the square is half the area of the rectangle. Find x.
2(x+4)
Answer:
2x+8
Step-by-step explanation:
Convert 29/30 to a decimal
Answer:
0.97
Step-by-step explanation:
To convert a fraction to a decimal, divide the numerator by the denomiator.
29 ÷ 30 = 0.966666667
= 0.97 (rounded)
hope this helps!
Mark buys a treadmill priced at $360.26.Shipping and handling are an additional 10%of the price.How much shipping and handling will Mark pay?
Which expression is equivalent to the expression shown?
3'*3*
3
3 x
Х
Х
1
3-4
34
-28
4
3
3’x (+39
х
Answer:
the given expression is equivalent to the
Step-by-step explanation:
[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]
Of the 300 fifth graders at Benson Elementary School, 40% signed up for an after-school activity. How many students signed up for an after-school activity?
Answer: 120 students
Step-by-step explanation:
multiply 40 by 300 then divide by 100 = 120
What is the volume of a sphere with a radius of 14 cm?
Ayuda, por favor (Help please)
Answer:
see below
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi ( 14)^3
V =3658.666666pi
Using 3.14 for pi
V =11488.21333 cm^3
Using the pi button
V =11494.04032cm^3
Step-by-step explanation:
Volume of sphere----> 4/3π r³
4/3 x 22/7 x 14³. r=14(given)
4. x 22. x 14³
3. 7
4 x 22 x 14x14x2
3
88. x 196 x 2
3
88 x 392
3
34496
3
11498.6 answer
hope this helps you
have a nice day
19
Celeste knows that there are 5,280 feet in 1 mile. What proportion can she use
to find the number of feet in 7 miles?
Answer:
[tex]\frac{1mile}{5,280ft} =\frac{7miles}{"x"feet}[/tex]
Step-by-step explanation:
so there are 5,280 feet in 1 mile
We want to find the number of feet in 7 miles
if we were to set up a proportion it would look something like this :
[tex]\frac{1mile}{5,280ft} =\frac{7miles}{"x"feet}[/tex]
-
A road is defined by y = x - 3. A house is
located at the coordinates A(6,5). Determine the
shortest distance from the house to the road.
so x-3=4 you add 3+4=7 and your answer is x=7
How to find the surface area of a triangular prism
Answer:
See below.
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.
Example:
For a base which is 12 by 12. The area is 12 x 12 = 144.
For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.
Write 10 3 8 as an improper fraction.
Answer (if the number is 10 3/8):
83/8
Step-by-step explanation:
to find out we multiply the whole number (10) by the denominator (x/8) as shown below
10 * 8 = 80
then we just add the product to the numerator (3/y)
3 + 80 = 83
usually we would simplify the new expresion given -wich is 83/8- by finding the least common denominator, however this improper fraction is already in simplest form
Please help me I need help
Answer:number 1 and 4
Step-by-step explanation:
Use what you know about triangles to classify this triangle.
Triangle with two acute angles and one obtuse angle. Two sides are equal in length.
Group of answer choices
Answer:
isosceles
Step-by-step explanation:
just ask
