Given:
The functions are:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x^2[/tex]
To find:
The value of [tex]fg(3)[/tex].
Solution:
We have,
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x^2[/tex]
Substitute [tex]x=3[/tex] in each function.
[tex]f(3)=2(3)+1[/tex]
[tex]f(3)=6+1[/tex]
[tex]f(3)=7[/tex]
And,
[tex]g(3)=(3)^2[/tex]
[tex]g(3)=9[/tex]
We know that, product of two functions is defined as:
[tex]fg(x)=f(x)\times g(x)[/tex]
Using this rule, we get
[tex]fg(3)=f(3)\times g(3)[/tex]
[tex]fg(3)=7\times 9[/tex]
[tex]fg(3)=63[/tex]
Therefore, the value of [tex]fg(3)[/tex] is 63.
When the cost per class is increased by $50, the revenue will be $0. True False
Step-by-step explanation:
false I think this only answer
Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.
Answer:
top one, yes. by the SSS theorem
bottom one, no. The bases are not congruent
Step-by-step explanation:
!!!!!!!!!!
A language arts teacher at North Middle School conducts a random survey of the student body and finds that 12% of the students would be
interested in a summer creative writing program if it were offered. If there are 700 students in the school, how many of them should the teacher
predict will participate in the program?
O A) 12 students
OB) S4 students
C) 140 students
D) 168 students
Answer:
B. 84 students
Step-by-step explanation:
12% of students
700 students in all
700 * 0.12 = 84
solve for x:
1. -5(-2x+10)=10
2. 3(x-12)=15
3. 8(6-4x)=12
pls help!
Answer:
1) X=6
2)X=17
3)X=[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Answer:
1. x = 6
2. x = 17
3. x = 9/8
Step-by-step explanation:
Determine which pair of points has a negative slope.
(6,9), (5, 7)
(-9, -2), (3,6)
(-8, 1), (8, -8)
(2, -8), (-1, -9)
Answer:
(–8, 1), (8, –8)
Step-by-step explanation:
Answer:
(-8, 1), (8, -8) has a negative slope
Step-by-step explanation:
1). y2 - y1 / x2 - x1
7 - 9 / 5 - 6
= 2
2). y2 - y1 / x2 - x1
6 - (-2) / 3 - (-9)
= 2/3
3). y2 - y1 / x2 - x1
-8 - 1 / 8 - (-8)
-9/16
4). y2 - y1 / x2 - x1
-9 - (-8) / -1 - 2
= 1/3
What's the answer? 2³ x 4³ / 5⁰
Answer:
512
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
1) [tex]2^{3} * \frac{4^{3} }{5^{0}}[/tex]
2) [tex]8 * \frac{4^{3} }{5^{0}}[/tex]
3) [tex]8 * \frac{64 }{1}[/tex]
4) [tex]\frac{512 }{1}[/tex]
5) [tex]512[/tex]
Martina tiled 260 squared feet of her kithchen floor. She picked a tile that is $2.49 per square foot. She paid a 7% sales tax. How much did she spend to buy enough tile for her project
Answer:
$692.72
Step-by-step explanation:
Given data
The total area of tile = 260 squared feet
cost per squared foot of tile= $2.49
Hence the total for 260 squared feet cost will be
=260*2.49
=$647.4
Let us find the amount of 7% Tax
=7/100*647.4
=0.07*647.4
=$45.318
Hence the amount spent in all is
=45.318+647.4
=$692.72
If sin12 = k determine cos24 in terms of k
Recall the double-angle identity,
sin²(x) = (1 - cos(2x)) / 2
Now if sin(12°) = k, then
k ² = sin²(12°) = (1 - cos(24°)) / 2
→ cos(24°) = 1 - 2k ²
Which pair best represents a causation relationship?
M. a person’s age and his/her shoe size
P. the number of ice cream cones sold and the amount of sunscreen sold
R. the temperature at a football game and the number of hot drinks sold
S. the number of people attending a ballgame and the length of the ballgame
Answer:
b
Step-by-step explanation:
3/4 divided by 6 2/3
Answer: 9/80
Step-by-step explanation:
Find the perimeter of this shape
Answer:
28
Step-by-step explanation:
Just count the grids
What is the perimeter of a square with a length of 13cm and a base of 13cm???
Please Help I Need This By Tomorrow!
What is the measurement of XZ?
Answer:
Step-by-step explanation:
Here we can see
Arc YZ = Arc XZ
So we know that equal arcs form equal chords , Then
Chord YZ = Chord XZ
8x - 5 = 6x + 10
8x - 6x = 10 + 5
2x = 15
x = 7.5
hope it helps :0
Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets cost $12 each if you buy them at the door on the night of the concert. Write a system of equations to model the situation. (Identify your variables)
Answer:
below
Step-by-step explanation:
x: ticket
y: total cost
y= 10x + 8
y= 12x
Sketch a graph of a function that has all of these properties:
The AROC on [-3,0] is -2 and the AROC on [1, 3] is 0.5.
The IROC at x=1 is -1 and the IROC at x=2 is 1.
AROC means average rate of change
IROC means instantaneous rate of change
!!!!!!help please!!!!!! Lots of poibts
Answer:
C: y < 3x + 2
Answer:
Step-by-step explanation:
I think the answer is C not really sure..
What is the largest two-digit number that is a multiple of 5 and 10 at the same time?
Answer:
90
Step-by-step explanation:
90/10= 9
90/5= 18
No number larger than 90 would work.
A hot air balloon rises 9 meters every 3 seconds. How high does the hot
air balloon rise in 15 seconds?
Answer:
45 meters
Step-by-step explanation:
so if i divided 9 by 3 it's 3 meters per sec then i times 15 by 3 equals 45
Pls help I need help why are
Answer:
Both of their bases are parallel
Step-by-step explanation:
Thx for helping! Everythings IN THE PIC sry for caps
here is pictrues
i dont understand number 3
plz mark me brainlest
# 4
To begin solving for the total cost of the paint that Ariana needs to buy, we first need to calculate the size of the walls and the ceiling that she is going to paint.
We begin by finding the size for the walls.
We use the formula to find the area of each wall.
We know that the walls are 10-foot squares.
10 x 10 = 100 Square Feet
Each wall will have an area of 100 square feet each, we know that there are 4 walls in the shed.
100 x 4 = 400 Square Feet of walls to paint total.
Now we know that the ceiling will have the same area as the walls.
10 x 10 = 100 Square Feet of ceiling to paint.
Now Ariana goes to the store and finds that a gallon of paint cover 350 square feet. Ariana needs to paint a total of 400 square feet of wall.
400 - 350 = 50 Square Feet remains.
We know that she needs to buy the paint in gallons, so this leaves Ariana with purchasing 2 gallons of Blue paint.
Now Ariana also wants to paint the ceiling white. We know that 1 gallon of White paint is more than enough to cover the ceiling, but she still needs to buy the gallon of paint.
Now we add up all the prices of the 3 gallons of paint.
$26.98 x 2 = $53.96 for Blue Paint
$26.98 x 1 = $26.98 for White Paint
Total cost = $80.94.
Now we know that the sales tax is 5.5% of the total price.
$80.94 x 0.055
Sales Tax = $4.45
Now we simply add the total cost to the sales tax.
$80.94 + 4.45
Total cost with sales tax = $85.39
Mind says Paint cost $29.95 per gallon nikki needs 3,6 gallons to complete the paint project please tell me the answer
Answer: [tex]\$107.82[/tex]
Step-by-step explanation:
Given
The cost of paint is [tex]\$29.95\text{per gallon}[/tex]
Nikki need [tex]3.6[/tex] gallons of paint
So, the cost of the paint is the product of the rate and volume of paint
Put the values
[tex]\Rightarrow 3.6\times 29.95=\$107.82[/tex]
7.6.2.6
What is the volume of the figure that can be
formed by the net below?
5 in
Volume =
in3
Answer: 20.6
Step-by-step explanation:
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
9514 1404 393
Answer:
(c) Perpendicular
Step-by-step explanation:
The slope is the coefficient of x in this slope-intercept form.
The slope of the first line is +1.
The slope of the second line is -1.
The product of the slopes is (1)(-1) = -1. When the product of slopes is -1 for two lines, those lines are perpendicular.
Pls help me with this equation
Answer:
$340
Step-by-step explanation:
Let $p be the price yesterday.
(1 - 15%)p = 289
85%p = 289
p = 340
∴ The price yesterday is $340.
Need help just with number 2 please and thank you!!
Newberry Street and Millersburg Avenue intersect. If Newberry Street is 5 meters wide and Millersburg Avenue is 12 meters wide, what is the distance between two opposite corners of the intersection?
What is the potential energy of a 500kg elevator that is 4.0m high from the floor?
Answer:
19,600 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
PE = 500 × 9.8 × 4
We have the final answer as
19,600 JHope this helps you
HELP!!!
A ratio is a comparison between two quantities with different kinds of units. True Or False
Answer:
False
Step-by-step explanation:
A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.
Round 245,675 to the nearest hundred thousand
The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
Round 245,675 to the nearest hundred thousand
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
so, we get,
here, to the nearest hundred thousand means 675 > 500
so, it will be 5,675 => 6000
we have,
Rounding off 245,675 to the nearest hundred thousand is:
246000
Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
To learn more on round off click:
brainly.com/question/29348203
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how much is 5 interest of 500.00
Answer:
100.0
Step-by-step explanation:
because if you round divide that you get