Step-by-step explanation:
= f( g(2) )
= 3(2x + 1) + 1
= 6x + 3 + 1
= 6x + 4
= 6(2) + 4
= 12 + 4
= 16
f(g(2)) = 16
graphically represent
The cuadratic relation
boberson is after then my mom
Consider this function.
h(x) = (x - 2)^2+3
Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4
(Ps: all four answer and larger equal then or smaller equal then
Answer:
No inverse function: (a), (b), (c)
Inverse function exists: (d)
Step-by-step explanation:
The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3). If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the parabolic graph twice.
Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test. This would also be true for x ≥ 3, x ≥ 4, and so on. Not so for (a) x < 1. False for x > -5. True for x < 3. True for x > 4.
No inverse function: (a), (b), (c)
Inverse function exists: (d)
What is 8 times larger than 3
8 x 3 = 24 for should be 24
Only because 8 times larger than three seems like a multiplication problem..
I hope this helps if it is correct!
Answer:
(8+1) x 3 = 27
Step-by-step explanation:
this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.
I WILL GIVE BRAINIEST, PLEASE HELP
Answer:
A = (1, 10)
B = (4,10)
C = (4, 14)
D = (1, 16)
Step-by-step explanation:
Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:
P (1, -2) = (1, -10) Q (4, -2) = (4, - 10) S (1, -8) = (1, -16) and R (4, -6) = (4, -14)
Now, we need to rotate this new box into -x, y. So our new points are:
(1, -10) = (-1, 10) (4, -10) = (-4, 10) (1, -16) = (-1, 16) and (4,-14) = (-4, 14)
Now we're reflecting off the y-axis, making our x change. So for our final points:
A(1, 10) B (4,10) D(1, 16) and C(4, 14)
Hope this helps! Please check my math and comment wether this worked or not! :)
Answer:
hi
Step-by-step explanation:
78 decreased by half a number is 45 Find the number
Answer:
number is 66
Step-by-step explanation:
let the number be n , then
78 - [tex]\frac{1}{2}[/tex] n = 45 ( subtract 78 from both sides )
- [tex]\frac{1}{2}[/tex] n = - 33 ( multiply both sides by - 2 to clear the fraction )
n = 66
The required number is 66
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)
Group of answer choices
2 blocks per minute
10 blocks per minute
3 blocks per minute
4 blocks per minute
Answer:
3 blocks a minute
Step-by-step explanation:
so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute
HELP ME OUT PLEASE!!!
WILL GIVE BRAINLIEST!!!
Answer:
-4 9/10, -4 3/4, -4.2
Step-by-step explanation:
A. -4.9
B. -4.75
C. -4.2
ANSWER:
-4 9
10
-4 3
10
-4.2
Step-by-step explanation:
HOPE IT HELPSSSS
21. A square park has an area of 120 m2
a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work
plsss help me quick :((
Answer:
120m2
$6.25
$4.50
85
57
12
12
32
54
69
87
89
12
34
58
solve pls brainliest
Answer:
[tex]18 {m}^{2} [/tex]
Step-by-step explanation:
[tex]area \: = 6m \times 4m \\ = 24 {m}^{2} \\ \\ grass \: area = 3m \times 2m \\ = 6 {m}^{2} \\ \\ cement \: area \: = 24 {m}^{2} - 6 {m}^{2} \\ = 18 {m}^{2} [/tex]
Answer:
18 m^2
Step by step explanation:
In these types of math problems, we have two ways to solve.
1) Directly find the area of the shaded area.
2)Find the unshaded area and then minus that from the total area.
In this case, I will use the second way.
The grass area (unshaded) is 3 x 2 = 6 m^2 ( 6 square meters )
The total area (grass + cement) is 4 x 6 = 24 m^2 ( 24 square meters )
Now, we want the area of the cement part but the grass's area is also in the total.
So, we minus 6m^2 from 24m^2.
Then we get 18m^2.
And that is the answer.
I hope it helps.
(Note : because this problem is easy, you can use both ways but most use the second way. There may also be problems where we can use only the first or second way.)
Dylan is selling boxes of candy. He purchases them for $1.50 each and
marks up the price by 50%. How much is Dylan planning to charge? *
Answer:
2.25
Step-by-step explanation:
1.50+50%=2.25
In each bouquet of flowers, there are 2 roses and 5 white carnations. Complete the table to find how many roses and carnations there are in 4 bouquets of flowers.
Answer:
28roses 70carnations
Step-by-step explanation:
4+6+8+10=28
10+15+20+25=70
Maybe i think
6p - 5 =13
3
-3
12
15
Answer:
6p=13+5
6p=18
p=18/6
p=3
please help
15 marks
Step-by-step explanation:
12a. y-y1=m(x-x1)
y-5=(2-5)/(1--3)(x--3)
y-5=-3/4(x+3)
4y-20=-3x-9
4y=-3x-9+20
4y=-3x+11
y=-¾x+11/4
12b.
Perpendicular lines have the product of their gradient equal to -1
For L1,the gradient is 3
For L2,we express in slope-intercept form
6y=1-2x
y=1/6-⅓x
The slope is -⅓
Now product of both slopes 3×-⅓=-1,thus the lines are perpendicular
Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined you would need 9 containers to store the 14 cups of sugar.
They show you their calculations:
Answer the following questions.
What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake
How many containers are needed to store the leftover sugar?
Answer:
21 containers
Step-by-step explanation:
When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, [tex]14 divided by \frac{2}{3} = \frac{14}{1}x\frac{3}{2}[/tex]. Whoever drew the calculations made the mistake of forgetting to flip the second fraction.
The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.
Write an equation of the line in slope-intercept form.
The equation is y=
.
Answer:
y = x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what's the slope (3,-1) and (-2,5)
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )
m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]
If given 5 miles is 8km convert 13.5 miles into km
Step-by-step explanation:
There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.
Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.
13.5 X 1.609 = 21.7215.
Round down to 21.7.
Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.
Jonas has bought three t-shirts. Each t-shirt was the same price. After using a 10% off coupon the total charge was 95 what was the cost of each t-shirt
Answer:
35 5/27
Step-by-step explanation:
You just have to set up an equation:
0.9/95 = 1/x
And if you cross-multiply, you get:
0.9x=95
Which means x is 95/0.9 which is 105 5/9. So, if all three t-shirts costed 105 5/9, and they all costed the same, then one t-shirt costs 35 5/27.
I Need Help! but please take your time to get the correct answer
Sal can make 10 bracelets
A right triangle is one that contains a ______ degree angle
Answer:
90 degrees
Step-by-step explanation:
......
Answer: 90 degree angle.
Step-by-step explanation: A right triangle must have a right angle.
What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST
Answer:
[tex]5\times10^3[/tex]
Step-by-step explanation:
[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]
Exponents are positive:
[tex]3.5.5.0.0.0.0. = 3550000[/tex]
[tex]7.1.0.=710[/tex]
[tex]3550000 \div 710 = 5000[/tex]
Convert back into scientific notation:
[tex]5000 = 5 \times 10^3[/tex]
[tex]= 5 \times10^3[/tex]
Hope this helps.
Answer: 5 x 10^3
Step-by-step explanation:
For which function is the ordered pair (5, 10) not a solution?
y = 15 - x
y = x - 5
y = x + 5
y = 2 x
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
I need some help with this problem
Answer:
B is going to be our answer
Step-by-step explanation:
We said that we want each row to contain 40 beets
We divided and got 195 rows, with a remainder of 15.
This makes statement B true.
Save
A car rental agency advertised renting
drive on a $100 budget?
car for $28.95 per day and $0.25 per mile. If Shawn rents this car for 3 days, how many whole miles can he
miles solve
Answer:
He could drive 52.006 miles
Step-by-step explanation:
Multiply 28.95 by 3. You get 86.85Subtract 86.85 from 100. You get 13.15Divide 13.15 by 0.25. You get 52.006what is the answer, i tried everything but i can’t seem to get the right answer
Answer:A
Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)
Answer:
A
Step-by-step explanation:
The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.
edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.
help.....................
Answer:
Answers in Explanation
Step-by-step explanation:
First Question:
[tex]\sqrt{100}[/tex] + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)
[tex]\sqrt{100}[/tex] + [24 - 15] - (60 - 49 - 1)
[tex]\sqrt{100}[/tex] + 9 - 10
10 + 9 - 10
Answer = 9
Second Question:
5x + 2x = 7x
5x^2 + 3x^2 = 8x^2
2x + 3x - x = 4x
2x + 3y + x + y = 3x + 4y
9x - 6x = 3x
-7y + 3x + 4x + 3y = 7x - 4y
-7x^2 + 2x^2 + 9x^2 = 8x^2
(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5
(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8
(3x - 4) - (5x + 2) = -2x - 6
(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x
(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1
Third Question:
17x + 2y
(5x + 12y) + (3x + y) = 8x + 13y
17x - 8x = 9x
2y - 13y = -11y
Answer: 9x - 11y
Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.
Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is ~
[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the slope of given line ~
[tex]y = - 2x + 5[/tex]comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)
let the slope of the required line be n
And, now since the required line Is perpendicular to the given line. the product of their slopes is -1
that is ~
[tex] - 2 \times n = - 1[/tex][tex]n = \dfrac{ - 1}{ - 2} [/tex][tex]n = \dfrac{1}{2} [/tex]slope of required line is ~ 1/2
now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~
that is ~
[tex]y - y_1 = m(x - x_ 1)[/tex]here, m = slope ~
[tex] y - 2 = \dfrac{1}{2} (x - 0)[/tex][tex]y - 2 = \dfrac{x}{2} [/tex][tex]y = \dfrac{x}{2} + 2[/tex]I hope it helps ~
A number greater than 50 that has exactly 2 factors...
fata
Answer:
10 or 25
Step-by-step explanation:
25 is a factor of 50
Which expression is equal to 3x/x+3+x−2/x
Answer: 6+x−2/x
Step-by-step explanation:
3x/x+3+x−2/x
3+3+x−2/x
6+x−2/x
================
Or, if you love crazy fractions:
3x/x+3+x−2/x
3x/x−2/x+3+x
(1/x)(3x−2)+3+x