Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
35,423 ÷ 15 with a remainder
Answer:
Brainliest
Step-by-step explanation:
35,423 ÷ 15= 2361 R 8
simplify This expression
Answer:
9
Step-by-step explanation:
10-2×3+5
10-6+5
4+5
9
Answer:
9Step-by-step explanation:
[tex]10-2\times 3+5 \\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\Multiply\:2\times 3\:=6\\\\=10-6+5\\\\Add \:and \:subtract \: :10-6+5\\\\=4+5\\\\=9[/tex]
Which pair shows equivalent expressions?
A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10
Answer:
It's C
Step-by-step explanation:
When you multiply - 2 to what you have in the brackets you get - 2x - 10
Hope this helps, have a wonderful day
Tell whether each function is linear or nonlinear. Use the drop-down menus to show your answer.
PLEASE ANSWER ASAP!!!!!!!!!
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce.
f(n) = 9(0.7)n
What does the number 9 in the function represent?
A) Number of times the ball was dropped.
B) Height from which the ball was dropped.
C) Height to which the ball will bounce at the nth bounce.
D) Number of times the ball bounces at the nth bounce.
Answer:
c
Step-by-step explanation:
Find the cost of erecting a 6 m by 4 m rectangular garden shed that is 2 m high if
the metal sheeting costs shs58,500 per square metre.
Answer:
2320000
Step-by-step explanation
work out the perimeter first 6+4 times 2= 20
20 time 2m high=40
40 times 58000= 2320000
help!!! i will mark the right answer brainliest. 7-8 plz
Answer:
7. (2,1) 8. (8,2)
Step-by-step explanation:
Step: Substitute4z−7foryin5y+3z=11:
5y+3z=11
5(4z−7)+3z=11
23z−35=11(Simplify both sides of the equation)
23z−35+35=11+35(Add 35 to both sides)
23z=46 Divide both sides by 23
x=2
Substitute2forxiny=4z−7:
y=4z−7
y=(4)(2)−7
y=1
Step: Solve2x+4y=24for x:
2x+4y+−4y=24+−4y(Add -4y to both sides)
2x=−4y+24
x=−2y+12
−2y+12forxin−2x+8y=0:
−2x+8y=0
−2(−2y+12)+8y=0
12y−24=0(Simplify both sides of the equation)
12y−24+24=0+24(Add 24 to both sides)
12y=24 Divide both sides by 12
y=2
Substitute2foryinx=−2y+12:
x=−2y+12
x=(−2)(2)+12
x=8
PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!
Amazon plans to ship 23,660 pencils to our school. Amazon currently only has 35 boxes to ship all of the pencils. If every box carries the same number of pencils, then how many pencils will be shipped in each box?
Answer:
676
Step-by-step explanation:
Divide the number of pencils by the number of boxes
A toy company decreased the size of its dominoes container by 25%. If the old containers held 136 dominoes, how many dominoes do the new container hold?
Answer: 102
Step-by-step explanation:
Answer:
The new container holds 102 dominoes.
Step-by-step explanation:
136 x 25% =34
136-34 = 102
Pleas pleas pleas pleas pleas help me!!
Answer: $874.50
Step-by-step explanation:
I = P x R x T
825 x 0.06 x1 = $49.50 interest
825.00 + 49.50 = $874.50 total cost for the phone after a year
PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!
Answer:
6.67
66.7%
1.20
337.12
Step-by-step explanation:
95.25*(7/100)
42.12/63.18*100
20. 95*(5/100)
9632*(3.5/100)
can some one help me on this and thank u
Answer:
2<x<3
Step-by-step explanation:
the first one
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4 feet, 2 inches.
1.What was the error, expressed in inches?
2.What was the error, expressed as a percentage of the actual height?
Percentage of error by Clare is estimated as 4.1667 %
Height measured by Clare = 4 feet
Height measured by Doctor = 4 feet, 2 inches
Percentage error = ?
Percentage error = Difference/ Actual height *100
Percentage error = (2/ (4*12))*100
Percentage error = 4.1667 %
The accurate height is measured by Doctor, as he have more accurate measurement system.
Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above
Answer:
All the above
Step-by-step explanation:
all of the following are true
PLS HELP ME 5.7 + (3z + 0.3)
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
Which expression is equivalent to (m^2-3m+7)(m-5)^-1
Answer:
a
Step-by-step explanation:
Javier simplified the expression below. Find and
describe the three mistakes he made.
20x
- (203) = (5x®]* _ 5x * to
(5x®)» (20x)} – 20.x* *4
Answer:
Step-by-step explanation:
Javier did not raise the coefficients to the third power
When Javier raised [tex]x[/tex] to the third power, he wrote that [tex](x^1)^3=x^4[/tex], but it equals [tex]x^3[/tex].
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.
Bob puts a glass of water in the freezer and records the temperature every 15 minutes. The results are displayed in the table below. If this pattern continues, what will be the temperature at 2:15 PM? Explain your answer.
1:00 PM 92 Degrees
1:15 PM 60 Degrees
1:30 PM 44 Degrees
1:45 PM 36 Degrees
Answer:
30 DegreesStep-by-step explanation:
As per table we see the difference and pattern of decrease 1/2 times every 15 minutes:
1:00 PM 92 Degrees 1:15 PM 60 Degrees = -32 Degrees 1:30 PM 44 Degrees = -16 Degrees 1:45 PM 36 Degrees = -8 DegreesExpected
2:00 PM 32 Degrees = -4 Degrees 2:15 PM 30 Degrees = -2 DegreesThere is a leaky faucet in a bathroom, and Joey places a bucket underneath the faucet. After 23 of an hour, 18cup of water has been collected in the bucket. At what rate, in cups per hour, is water leaking from the faucet?
Answer:3/16
Step-by-step explanation:
You have to divide the fractions and make the answer a reciprocal.
Hope this helps!
Solve the given system using elimination.
Answer:
s = 1
t = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
15s + t = 5
4s = 3t + 34
Step 2: Rewrite
15s + t = 5
Subtract t on both sides: 15s = -t + 5Multiply both sides by 3: 45s = -3t + 15Step 3: Redefine Systems
45s = -3t + 15
4s = 3t + 34
Step 4: Solve for s
Elimination
Combine equations: 49s = 49Divide 49 on both sides: s = 1Step 5: Solve for t
Define equation: 15s + t = 5Substitute in s: 15(1) + t = 5Multiply: 15 + t = 5Isolate t: t = -10Answer:
Explanation is below
Step-by-step explanation:
Here ya go
Step 1
15s+t=5,4s=3t+34 Question
Step 2
4s=3t+34 Substitute -15s+5
4s=3(-15s+5)+34
s=1
Step 3
t=-15s+5 Substitute 1 for s
t=(-15)(1)+5
t=-10
answer
s=1
t=-10
The table shows the number of diagonals that can be drawn from one vertex in polygon. Write an equation in function notation for the relation and find the number of diagonals that can be drawn from vertex in a 12-sided polygon.
Answer:
y = x - 3; 9 diagonals
Step-by-step explanation:
Find the equation: y = x - 3
Plug in 12: y = 12 -3
Solve: y = 9
9 diagonals
Hope this helps! Plz mark brainliest
The equation of function notation for the relation will be,
⇒ y = x - 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Table is shown in figure.
Two points on the table are (3, 0) and (4, 1).
Now,
Since, The equation of function passes through the points,
(3, 0) and (4, 1).
So, We need to find the slope of the function.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 0) / (4 - 3)
m = 1
Thus, The equation of function with slope 1 is,
⇒ y - 0 = 1 (x - 3)
⇒ y = x - 3
⇒ y = x - 3
Thus, The equation of function notation for the relation will be,
⇒ y = x - 3
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
B. Barbara spends 16 of her time on the phone. How many hours does she have to work in a week so that she spends 5 hours on the phone?
Answer: A.
x*(2/5) = 10
Solve for x.
B.
y*(1/16) = 5
Solve for y
C.
t*(2/17) = 5
solve for t
Step-by-step explanation:
Please help for 15 points!
Answer:
There's nothing there
Step-by-step explanation:
But like hooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooowwwwwwwwwwwwww im stupid how plz someone!!!!!!!!!!!!!!!!!!!!!!!!!!3/4g=−12
Answer:
with what
Step-by-step explanation:
please order these from greatest to least = 2.086 2.854 2.81
Answer:
Answer: 2.854, 2.81, 2.086
2.854, 2.81, 2.086
You have to look from left to right to see which number will be greater in the intended value. Ones then tenths then hundredths so forth.
Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
- 0.51x + 0.21x = 6.3
x = 6.3
Answer:
Step-by-step explanation:
-0.51x+0.21x=6.3 combine like terms
-0.3x=6.3 divide by -0.3
x= -21
(4x5) x3 = 4x (5x3) What property does this show?
Answer:
distributive
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x5x7x8x2÷8=?
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
Is the slope-intercept form and standard form of the same line equivalent?
Answer:
Linear equations can take several forms, such as the point-slope formula, the slope-intercept formula, and the standard form of a linear equation. These forms allow mathematicians to describe the exact same line in different ways.
hope this helps
