The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
How to estimate the student's answer?The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
Read more about composite functions at:
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someone please help
Answer:
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(h(x)) = x[/tex]
Step-by-step explanation:
[tex]g(x) = {x}^{2} + 7[/tex]
[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(x) = \frac{5}{9x} [/tex]
[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]
[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]
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O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT
Puzzle in the picture. the answer should be 23, explain how you did it
Step-by-step explanation:
try this option, all the details are in the attachment.
Note, the nine numbers. used in the solution are: 1, 2, 3, 4, 5, 6, 7, 8 and 9.
A handkerchief is 20 cm long and 18 cm broad. how much the breadth must be decreased to cover a surface of 324cm²
Answer:
1.8 cm
Step-by-step explanation:
Hope it will help...
Need help! i have no idea how to do domain and range!!!://
Step-by-step explanation:
Dude THE Values for graph are given or not
Valeria's living room is 9 meters wide and 10 meters long. She wants to install green carpet that costs $5.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$450
Step-by-step explanation:
cost = area × price per square meter
cost = LW × $5/m²
cost = 90 m² × $5/m²
cost = $450
Answer:
$450
Step-by-step explanation:
9x10=90 meters
90x5=$450
what is the range of the data set 95,86,78,80,91
Answer:
17
Step-by-step explanation:
Range = Highest Value - Smallest Value
95 - 78 = 17
Answer:
17
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
95 - 78 = 17
Backyard World buys plastic pools from a supplier with an invoice amount of $17,500. The terms of the sale are 5/10, n/30. If the retailer sends a partial payment of $8,300 on the discount date, what is the net amount still due?
Answer:
I think it $10800
Step-by-step explanation:
I have not read how to sole
PLEASE HELP
the coordinate grid shows the plot of four equations
Which set of equations has 2,2 as its solution
A AND D
B AND D
A AND C
B AND C
the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?
Answer: 338 boys
1) Formulate an equation
The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.
2) Isolate the variable
Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.
3) Plug the variable
Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.
Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Answer:
They are not equivalent.
Step-by-step explanation:
5(3a+2)=15a+10
15a+10≠15a+2
Answer:
not equivalent.
Step-by-step explanation:
5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.
15a+10≠15a+2
if you wanted to go further, since 15a is equivalent, just take it out.
10≠2
Simplify the problem below and write in standard
form:
–725 + 8x3 – 6x2 – 10x3 – 9
-7x5
Find the area - PLSS HELPP AND HURRY PLS
Answer:
40
Step-by-step explanation:
its just 4 x 10, move the triangle to the other side
unless its not a triangle lol
then i have no idea
For tanisha's lemonade recipe, 14 lemons are required to make 7 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade?
Which list shows the decimals ordered from least to greatest?
0.71, 0.6, 0.716
0.39, 0.95, 0.395
0.4, 0.47, 0.482
0.19, 0.06, 0.2
Answer:
Least to greatest: 0.4, 0.47, 0.482
There are 5 cups of oatmeal in a container. Stella eats 1/3 cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?
Answer:
15 days
Step-by-step explanation:
Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.
Grayson spots an airplane on radar that is
currently approaching in a straight line,
and that will fly directly overhead. The
plane maintains a constant altitude of
7225 feet. Grayson initially measures an
angle of elevation of 19 to the plane at
point A. At some later time, he measures
an angle of elevation of 39° to the plane at
point B. Find the distance the plane
traveled from point A to point B. Round
your answer to the nearest tenth of a foot
if necessary.
Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:
[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]
[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]
[tex]x_A = 20982.9[/tex]
At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:
[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]
[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]
[tex]x_B = 8922.1[/tex]
The distance in feet is given by:
[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623
PLEASE HELP ASAP WITH HOW U DID IT WILL MARK BRAINLIST!!!
9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988
Let x represent the cost of mailing the letter in 1938, hence:
x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
Find out more on equation at: https://brainly.com/question/2972832
A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.
Calculation of applied pressure on a surfacePressure= force/area
Area of the circular table = πr²
where r = 75cm = 0.75m
Area of the circular table = 3.143 × 0.75 × 0.75
= 1.768m²
Force = 640 N
Pressure = 640/1.768
= 361.99
= 361.9 N/m² to 4 significant figures.
Learn more about pressure here:
https://brainly.com/question/25736513
Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. I NEED HELP WITH THIS PLEASE!!!!!!!
Answer:
x ≤ 15 - weekly
x ≤ 3 - daily
Step-by-step explanation: sorry, not much info to answer this :(
Which statement describes the value of the expression below?
67x1/6
[tex] \frak{ \dfrac{67}{6} }[/tex]
Answer: 33.5
Step-by-step explanation:
chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed
Answer:
'12 feet'
Step-by-step explanation:
Of these threee measurements, '12 feet' is closest to the height of a house.
Which quantity is proportional to 40⁄8?
Check all that are true.
10⁄5
120⁄36
20⁄4
5⁄1
120⁄24
Answer:
Step-by-step explanation:
10/5: not part of the answer. This gives 2. The original ratio gives 5.
120 / 36 is not part of the answer. This gives 3 1/3 which is not 5
20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5The last 3 are the only ones you should choose.
If m =32, what is the Value of 3(m+5) ? A.37 B. 96 C.101 D.111
Answer:
D) 111
Step-by-step explanation:
A map has a scale of 1 cm to 4km.
The road from Carton to Ambridge measures 5.8cm on the map.
How far is it from Carton to Ambridge in Kilometers?
1-4
Stan volunteered to work overtime for 6 weeks. He worked an
average
of 47 hours per week. Use the equation h = 6 = 47 to find
the total number of hours Stan worked over the 6 weeks.
Answer:
282 Hours after 6 weeks
Step-by-step explanation:
Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!
PLS HELP ASAP!!
Choose the correct line of best fit for each of the scatter plots below.
If the coordinates for C' are (4.5, 4.5), which rule best represents the dilation that was applied to rectangle ABCD to create rectangle A'B'C'D'?
The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle
The dilation rule is: (x,y) -> k(x,y)
How to determine the rule of dilation?The coordinates of C' is given as:
C' = (4.5, 4.5)
The coordinate of point C is not given.
So, I will apply a general rule
The general rule of dilation is:
(x,y) -> k(x,y)
Where k represents the scale factor.
Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)
Read more about dilation at:
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An employee at a veterinarian's office put
6.825 kilograms of cat food into serving
bowls. He put 0.065 kilogram into each
bowl.
How many bowls did the employee fill?
Answer:
105 Bowls
Step-by-step explanation:
6.825 ÷ 0.065 = 105 Bowls
Which is the warmest temperature? EXPLAIN HOW YOU DETERMINED THIS USING THE NUMBER LINE
Answer:
When we think of the number line -5 is the coldest temperature on the number line. -5 -4 -3 -2 -1 0 1 2 3 -5 °C is the coldest temperature and 2 °C is the hottest temperature.