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x + 4/9= 3/4
subtract 4/9 from both sides
x= 3/4 - 4/9
change to common denominators
x= 27/36 - 16/36
subtract numerators only
x= 11/36
ANSWER: (A) 11/36
Hopes this helps :)
Answer:
Exact Form: x = 11 / 36
Decimal Form: x = 0.305555
Step-by-step explanation:
consider these functions f(x)=1/3x^2+4 g(x)=9x-12 what is the value of g(f(x))
Given:
Functions are
[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]
[tex]g(x)=9x-12[/tex]
To find:
The value of [tex]g(f(x)).[/tex].
Solution:
We have,
[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex] [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]
[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex] [tex][\because g(x)=9x-12][/tex]
[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]
[tex]g(f(x))=3x^2+36-12[/tex]
[tex]g(f(x))=3x^2+24[/tex]
Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].
Following are the calculation to the given function:
Given:
[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]
To find:
[tex]g(f(x))=?[/tex]
Solution:
[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]
[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]
[tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]
Therefore, the answer is "[tex]24+3x^2[/tex]" .
Learn more about the g(f(x)):
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please help me with the question
Answer:
D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500
0.25(x + 4) – 3 = 28
Answer:
x = 120
Step-by-step explanation:
Given
0.25(x + 4) - 3 = 28 ( add 3 to both sides )
0.25(x + 4) = 31 ( divide both sides by 0.25 )
x + 4 = 124 ( subtract 4 from both sides )
x = 120
The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.
Here, we have,
To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:
Let's go through each step in detail:
Step 1: Distribute the 0.25 to the terms inside the parentheses.
0.25(x + 4) - 3 = 28
Distribute 0.25 to (x + 4):
0.25x + 0.25 * 4 - 3 = 28
Step 2: Simplify the equation by combining like terms.
0.25x + 1 - 3 = 28
Simplify 0.25 * 4:
0.25x + 1 - 3 = 28
0.25x - 2 = 28
Step 3: Isolate the variable x on one side of the equation.
To isolate the variable x, we want to get rid of the constant term -2 on the left side.
We can do this by adding 2 to both sides:
0.25x - 2 + 2 = 28 + 2
Simplifying:
0.25x = 30
Step 4: Solve for x.
To find the value of x, divide both sides by 0.25:
0.25x / 0.25 = 30 / 0.25
Simplifying:
x = 120
So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.
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ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!
A and B
Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.
Solve for w. 57 =4w + 13 Simplify your answer as much as possible.
Step-by-step explanation:
57=4w+13
57-13=4w
44=4w
w=11
What are the terms in the expression 7x+4y+1?
1
7 and 4
7x, 4y, and 1
x and y
Answer:
I believe 7x, 4y, and 1
Step-by-step explanation:
I belive the answer is C.
Which of the following is not an ordered pair from the function f(x) = -3x + 4?
A. (2,-2)
B. (5, -11)
C. (-3, 13)
D. (-6, 21)
The correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.
To determine which of the ordered pairs is not from the function f(x) = -3x + 4, we need to substitute the x-value of each ordered pair into the function and check if it matches the corresponding y-value.
A. (2, -2)
Substituting x = 2 into the function: f(2) = -3(2) + 4 = -6 + 4 = -2
The y-value (-2) matches the given ordered pair. This is a valid solution.
B. (5, -11)
Substituting x = 5 into the function: f(5) = -3(5) + 4 = -15 + 4 = -11
The y-value (-11) matches the given ordered pair. This is a valid solution.
C. (-3, 13)
Substituting x = -3 into the function: f(-3) = -3(-3) + 4 = 9 + 4 = 13
The y-value (13) matches the given ordered pair. This is a valid solution.
D. (-6, 21)
Substituting x = -6 into the function: f(-6) = -3(-6) + 4 = 18 + 4 = 22
The y-value (21) does not match the given ordered pair (-6, 21). This is not a valid solution.
Therefore, the correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.
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Describe the pattern in the following sequence and list the next three terms:
4,8, 16, 32, ...
Answer:
the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256
Step-by-step explanation:
ex 4x2=8 8x2=16 16x2=32
Find the measure of each interior angle of A ABC, where m m Fill in the blanks: m ,,m ____,m
Which problem can be solved using the expression 1/3÷1/4 ?
Answer:
Step-by-step explanation:
Divide: 1
3 : 14 = 13 · 4 1 = 1 · 4 3 · 1 = 43
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1
4 is 4 1
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - one third divided by one quarter = four thirds.
Can someone please help me out with 15 and 16
If you do just one of them that’d be great.
geometry proofs
Answer:
Step-by-step explanation:
Rawr ... someone help me :) please it’s math and the last word says Box btw !
Answer:
4/7
Step-by-step explanation:
Have a nice day
Answer:
4/7
Step-by-step explanation:
I said so hun
Write in point slope form the equation of a line that has the slope of -4 and the passes
through the point (2,2)
Answer:
point slope form is below. since you have the slope already, all you have to do is plug in the point for x1 and y1 and then the slope for m
y - y1 = m(x -x1)
y - 2 = -4 (x - 2) (this is the equation)
Step-by-step explanation:
answer please?? 50+40+10=
Solve 10=5m/4
Im Confused, Please Help
Answer:
m = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
10 = 5m/4
Step 2: Solve for m
Multiply 4 on both sides: 40 = 5mDivide 5 on both sides: 8 = mRewrite: m = 8Step 3: Check
Plug in m into the original equation to verify it's a solution.
Substitute in m: 10 = 5(8)/4Multiply: 10 = 40/4Divide: 10 = 10Here we see that 10 does indeed equal 10.
∴ m = 8 is the solution to the equation.
Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
How much are these coins worth?
Answer:
$1.97
Step-by-step explanation:
-9(5-2)-111÷3 show all work
Answer:
-74
Step-by-step explanation:
First: 5-2=3
-9*3=-27
111÷3=37
Then do -27-37=-74
Answer:
-9·3-111 ÷3
-27-111 ÷3
-27-37= -64
the answer is -64
jaun is saving money to buy a leather basketball cost 40.00.He already has $12 and will save 3.50 per week until he has enough money to buy the baseketball
A company rents out 15 food booths at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.
Complete question :
A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.
Answer:
4300 + 260d
Step-by-step explanation:
Given that :
Earning from Food booth cost :
Number of booth * cost
15(200 + 8d)
3000 + 120d
Earning from Game booth :
Number of booths * cost
20(65 + 7d)
1300 + 140d
Total sum :
Total earning from game booth and food booth
3000 + 120d + 1300 + 140d
3000 + 1300 + 120d + 140d
4300 + 260d
In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?
Answer:
PA = 20 units
NL = 20 units
Step-by-step explanation:
Property of a rectangle,
"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"
By using this property,
PT = TL
(x + 3) = (3x - 11)
3x - x = 11 + 3
2x = 14
x = 7
Length of PT = (x + 3) = 10
Length pf PA = 2(PT) = 20 units
Length of NL = PA = 20 units
What formula do you use when you are missing a length of a right triangle?
Answer:
Pythagorean Theorum
Step-by-step explanation:
a^2*b^2= c^2
A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y
Answer:
$7 total
Step-by-step explanation:
$5 + $2 = $7
Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.
Answer:
The correct option is Option C
Step-by-step explanation:
We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]
The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]
In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)
In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)
The opposite reciprocal of -4/5 is 5/4
So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.
If the lines are parallel there slope must be same. Hence lines are not parallel as well.
So, The correct option is Option C
Answer:
c
Step-by-step explanation:
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
marking brainliest to whoever gives me the right andwe
HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one
Answer:
5. y = -1/2x + 6
6. y = 1/2x + 150
7. y = 10x + 20
8. y = 25x
Step-by-step explanation:
Look at the y-intercept and eliminate the answers you dont need.
Then find the slope of each.
Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?
Answer:
I think the answer is 6 sorry if i'm wrong
Step-by-step explanation:
The area of the triangle is
square inches.
fill in the blanks
Answer:
8
Step-by-step explanation:
You could make any amount but 8 dos work if the triangle is a 2 by 8
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 14 years, to the nearest whole number?
Answer:
54,265 fishes
Step-by-step explanation:
The formula for Population decrease =
P(t) = Po × e^-rt
Where
P(t) = Population after time t
Po = Initial population = 95000
r = decrease rate = 4% = 0.04
t = time in years = 14
Hence
P(t) = 95,000 × e ^- 0.04 × 14
P(t) = 95,000 × e^-0.56
P(t) = 54264.861066 fishes
Approximately = 54,265 fishes
The total fish the company caught over the first 14 years, to the nearest whole number is 54,265 fishes
