Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence
Answer:
an = 4n + 3
Step-by-step explanation:
help please
plz plz plz
Step-by-step explanation:
Here,
y= 2x
and x € (1,2,3)
now,
when x=1 , when x=2 , when x= 3
y=2x y= 2x y=2x
= 2×1 = 2×2 = 2×3
= 2 = 4 = 6
Therefore, y = (2,3,6)
will give brainliest!
Solve for x. Exclude any extraneous solutions:
4/3x+5/4=3/x
Answer:
x = 4/3
Step-by-step explanation:
[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]
take lcm of the denominator
lcm = 12x
[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]
[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]
do cross multiplication
x(16 + 15x) = 3*12x
16x + 15x^2 = 36x
15x^2 = 36x - 16x
15x^2 = 20x
x^2 = 20x /15
x*x = 4x/3
x = 4x/3/x
x = 4x/3 *1/x
x = 4x/3x
x = 4/3
what is the mean and median of 4,9,26,20,23,0,37??
Answer:
the median is 20 and the mean is 17
Step-by-step explanation:
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Step-by-step explanation:
l=✓9²+4²
l=√81+16
l=✓97
The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?
Answer:
a) [tex]\=x=36.4inches[/tex]
b) [tex]Median=22[/tex]
c) [tex]Mode=18[/tex]
d) [tex]The\ Mean[/tex]
Step-by-step explanation:
From the question we are told that:
Depths:
18 inches,
20 inches
26 inches
22 inches
85 inches
18 inches
24 inches
Sample size [tex]n=7[/tex]
Summation of all depths
[tex]\sum d=18+20+26+22+85+18+24[/tex]
[tex]\sum d=255[/tex]
a)
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{\sum d}{n}[/tex]
[tex]\=x=\frac{255}{7}[/tex]
[tex]\=x=36.4inches[/tex]
b)
Generally the Median is given by the Middle Number which is
[tex]Median=22[/tex]
c)
Generally the Mode is given by the Highest occurring Number which is
[tex]Mode=18[/tex]
with two appearances
Therefore
d)
The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is
[tex]The Mean[/tex]
I have to solve for x in a diagram. it is a right triangle, cut into a smaller right triangle and a trapezoid. The cut measure 6, the height of the triangle is 12, and the known part of the base is 9. X is the rest of the base.
HELPPP!!! ILL GIVE YOU THE BRAINLIEST IF YOU ANSWER LESS THAN 5 MINS. If APQR - ASTU, which statement must be true?
Answer:
D.
Step-by-step explanation:
If you look on both triangles, PQ and ST are both and the same spots. (P is in the same spot as S and Q is in the same spot as T.
________ collect money from investors, create capital, and offer various investment options.
Fill in the blank
its 2 words
[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.
A candy store owner has 8.32 pounds of jelly beans. If
she puts the jelly beans into 8 jars, how much candy
will go in each jar?
Answer:
1.04 lbs
Step-by-step explanation:
8.32 lbs / 8 jars=
1.04 lbs per jar
Choose a strategy and solve. Enter your answer using digits. You may need to use scratch paper or other objects.
Jim is helping his dad cook hamburgers for his family and friends. There are 15 people. Each person wants two hamburgers. Three people want hamburgers with cheese. Two people want hamburgers with mustard. Two people want hamburgers with ketchup. The rest want them plain. How many plain hamburgers will Jim and his dad make?
Answer They will make 30 hamburgers, 16 of them are plain
Step-by-step explanation:
30-6-4-4=16
Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18
Answer:
Step-by-step explanation:
Simplifying
2y + -3x = 18
Reorder the terms:
-3x + 2y = 18
Solving
-3x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 18 + -2y
-3x = 18 + -2y
Divide each side by '-3'.
x = -6 + 0.6666666667y
Simplifying
x = -6 + 0.6666666667y
Factorize this expression
qr-qs+pr-ps
Answer:
(q+p)(r-s)
Step-by-step explanation:
qr-qs+pr-ps
q(r-s) + p(r-s)
(q+p)(r-s)
Can somebody pls help I’ll give brainless
Answer:
$2
Step-by-step explanation:
bill = $10
tip = 18%
tip amount = tip % of bill
=18/100 * $10
=$180/100
=$1.8
=$2
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
Answer:
Step-by-step explanation:
This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.
x + 1 = 0 so
x = -1
x - 9 = 0 so
x = 9
We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).
Select ALL the correct answers.
Select all the expressions that are equivalent to the polynomial below
(3x-7)(2x+8)
Answer:
A. 4(x - 4) + 2(3x² + 3x - 20)
C. (11x² + 7x - 55)-(5x² - 3x + 1)
F. (3x² + 5x - 28) + (3x² + 5x - 28)
Step-by-step explanation:
Given:
(3x-7)(2x+8)
= 6x² + 24x - 14x - 56
=6x² + 10x - 56
A. 4(x - 4) + 2(3x² + 3x - 20)
= 4x - 16 + 6x² + 6x - 40
= 6x² + 10x - 56
B. (3x² + 5x - 28) - (2x² + 4x + 28)
= 3x² + 5x - 28 - 2x² - 4x - 28
= x² + x - 56
C. (11x² + 7x - 55)-(5x² - 3x + 1)
= 11x² + 7x - 55 - 5x² + 3x - 1
= 6x² + 10x - 56
D. 4(x - 4) - 2(3x² + 3x - 20)
= 4x - 16 - 6x² - 6x + 40
= - 6x² - 2x + 24
E. (11x² + 7x - 55)-(5x² - 3x + 2)
= 11x² + 7x - 55 - 5x² + 3x - 2
= 11x² - 5x² + 7x + 3x - 55 - 2
= 6x² + 10x - 57
F. (3x² + 5x - 28) + (3x² + 5x - 28)
= 3x² + 5x - 28 + 3x² + 5x - 28
= 6x² + 10x - 56
What, if any, was Miguel’s mistake?
How much more would 72,300 be from 63,100?
Answer:
9,200
Step-by-step explanation:
72,300 - 63,100 = 9,200
A man has twin sons of equal height. The combined
height of the man and one son is 180cm. The
combined height of the man and both sons is
252cm. Twice the man's height added to the height
of one son would be
Answer:
son weight = 72
Step-by-step explanation:
D + S = 180
D + 2S = 252
S=252-180
S = 72
D= 108
write a numerical expression
two hundred fifty-nine mines eighty-five plus sixty-two divided by two
T={(-9, -8), (-3, 7), (7, -7), (-9,0)}
Answer:
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Step-by-step explanation:
Answer:
−18+25+(−37)
[−18+25]+(−37)
Here we will 1
st
solve square bracket
∴[−18+25]+(−37)=7+(−37)
=7−37=−30
−30 is the sum of −18,+25 and −37
h(x)=-4x-7, when x=3
h( blank)=blank
Answer:
h(3)=19
Step-by-step explanation:
it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19
Answer:
hope this helps
Step-by-step explanation:
Solve the system of equations by graphing.
x + y = -9
4x + y = -19
Answer:
(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )
Step-by-step explanation:
x + y = -9 --> y = -x -9
4x + y = -19 --> y = -4x - 19
Graph accordingly.
a=v2/rSolve the formula for r.
Answer:
r =v2 /a
Step-by-step explanation:
a=v2/r
ra=v2
r =v2 /a
Answer:
r = [tex]\frac{v^2}{a}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )
ar = v² ( divide both sides by a )
r = [tex]\frac{v^2}{a}[/tex]
Help please guys! Thank youuu
Answer:
Step-by-step explanation:
12b + 1 5c = 420
b ---> number of hour baby sitting
c-----> number of hours cleaning
c = 32 hours
Plugin c = 32 in the equation,
12b + 15*32 = 420
12b + 480 = 420
Subtract 480 from both sides
12 b = 420 - 480
12b = -60
So, This is not a reasonable value.
2) b = 10 hours
Plugin b = 10 hours
12*10 + 15c = 420
120 + 15c = 420
15c = 420 - 120
15c = 300
Divide both sides by 15
c = 300/15
c = 20 hours
He has to do cleaning for 20 hours
Yes, It is reasonable value
About how many times heavier is the blue whale than the rhinoceros
Answer:
1 x 10^2
Step-by-step explanation:
(2 x 10^5) / (2 x 10^3) = 1 x 10^2
Name the identical triangles and measurement of side BA
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
please help me :)))))))))))))))))
Answer:
A
Step-by-step explanation:
third angle=180-(35+73)=180-108=72°