Suppose that the functions g and h are defined for all real numbers x as follows.
8(x)=x+5
h(x) = 3x+4
Write the expressions for (g+h)(x) and (g-h)(x) and evaluate (g•h)(-2).
Answers
h(g(x))= 3x + 19
g(h(-2))= 3
Related Questions
A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin
Answers
Determine the values of h and k in the equation of g(x).
g(x) = x/x-h+k
3
h=
N
k=
1
X
1
2
3
-3 -2 -1
-1
g(x)
-2
Answers
Answer:
it is 300
Step-by-step explanation:
i nailed the quiz
Pls help my brain is fried and this is my last question
Answers
Answer: 14, 16, 18, 20 in that order
Step-by-step explanation:
If the bottom response square is asking for a general equation, it would be y=x+7
The production cost to make 10 shirts is modeled by the expression 1.By + 5.5, where y represents the number of meters of fabric needed to make the shirts. Which
expression represents the production cost for one shirt?
A.0.18y +0.55
B.0.18y +5.5
C.1.8y +0.55
D.18y +55y
Answers
Answer:
The answer is 0.18y+5.5
Step-by-step explanation:
because the only thing you had to do is move the decimal.
The expression which represents the production cost for one shirt is, 0.18y +0.55. So Option A is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The production cost to make 10 shirts is modeled by the expression,
Total Cost = 1.8y + 5.5,
where y represents the number of meters of fabric needed to make the shirts
So, for one shirt cost,
Cost of 1 shirt = Total Cost/10
= 1.8y + 5.5/10
= 0.18y + 0.55
Thus, the expression is 0.18y + 0.55
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Help! I'm not sure how to do it
Answers
Formula for calculating triangle:
height x base divide by 2
Firstly we will have to calculate the triangle.
0.8x1.8/2 ( since 1.8 matches the base of the triangle we are looking for) which equals to =0.72 m
Now let’s calculate the rectangle:
1.8 x 2.1 =3.78
Finally add them both together which is:
0.72+ 3.78= 4.5 m
Solve for k.k/2+1/2=3
Answers
Answer:
[tex] \frac{k}{2} + \frac{1}{2} = 3 \\ \frac{k}{2} = 3 - \frac{1}{2} \\ \frac{k}{2} = \frac{(6 - 1)}{2} \\ \frac{k}{2} = \frac{5}{2} \\ \boxed{k = 5}✓[/tex]
k=5 is the right answer.Pls Help Step by step look at picture
Answers
Answer:
-6(x-y)
Step-by-step explanation:
Combine the same terms together
; (-3x+2x-5x) + (y+7y-2y)
Use parentheses to make thinking easier.
Combine ; -6x + 6y
Factoring polynomials ; -6(x-y)
hope it helps ☺️
What is the value of 20+6•5/-2
Answers
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
A bus is traveling at a constant speed and goes 8.4 miles in 5 minutes. Using your strategy, how far does the bus travel in one minute?
Answers
Answer:
The bus travels 1.68 miles in one minute
Step-by-step explanation:
Make a proportion:
? = how far the bus travels
5 - 8.4
1 - ?
Solve: 8.4×1÷5= 1.68
Tom's weight = 500 pounds
If Tom loses 12% of his weight,
what percent of his weight remains?
Answers
Answer:
88% of his weight remains
A restaurant offers three sizes of coffee and four differerſt types of coffee.
Coffee can be ordered with or without cream and with or without sugar.
The restaurant also has six bagel options. A bagel can be ordered plain, with
butter, or with cream cheese. How many different ways can you choose a
coffee and bagel at this restaurant?
Answers
=======================================================
Work Shown:
There are,
3 sizes of coffee4 types of coffee2 choices for cream (you pick it or you leave it out)2 choices for sugar (same idea as the cream)This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.
There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.
Multiply the values of A and B to get the final answer
A*B = 48*18 = 864
There are 864 ways to order a coffee and bagel at this restaurant.
--------------
If you're curious why you multiply the values out, consider this smaller example.
Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).
This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.
How to find 40% of 150
Answers
Answer:
multiply 0.40 by 150 answer is the percentage so 60
Step-by-step explanation:
It’s 60
Write the equation of the line passing through the points (-4,-1) and (2,8)
Answers
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let these points
[tex] \begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}[/tex]
[tex]m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2} [/tex]
Slope-Intercept[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Substitute the value of m in the equation.
[tex]y = \frac{3}{2} x + b[/tex]
Substitute any coordinate points that are given or part of the graph in the equation.[tex](x_, y) = ( - 4, - 1)[/tex]
[tex] - 1 = \frac{3}{2} ( - 4) + b[/tex]
Solve the equation for b-term.[tex] - 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b[/tex]
Rewrite the equation by substituting the value of b in the equation.[tex]y = \frac{3}{2} x + 5[/tex]
Answer[tex] \large \boxed{y = \frac{3}{2} x + 5}[/tex]
If you have any questions related to the answer, feel free to ask via comment.
7 + 2y^2
Evaluate the expression for
Y = 5.
Please help me
Answers
Answer:
107
Step-by-step explanation:
We first need to input the values of the variables.
7 + 2 x 5^2
7+10^2
7+100 = 107
THIS IS AN EMERGENCY PLEASE HELP ME!!!!!!!!!
With a coupon, you can get a pair of shoes that normally costs $80 for only $68. What percentage was the discount?
Answers
Answer:
Not sue but I think it’s 12%
Step-by-step explanation:
-6 · f(3) – 6 • g(-1) =
Answers
Answer:
−18f+6g
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
-6 · f(3) – 6 • g(-1) =
= −6⋅f(3)−6⋅g(−1)=−6(−2)−6(6)
= 12 - 36
= -24
Have a good day :p
Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The
means of the samples are shown below.
Sample
Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Mean
3.4
3.2
4.1
4.6
3.1
The predicted mean of the population will fall between
3.1 and
15
Answers
Answer:
d!
Step-by-step explanation:
just took the test! gl
Jalell is trying to earn enough money to buy and ipad. Of the 1200 he needs. he has earned 900$ So far. What percent of the money has Jalell earned so far?
A.90%
B.75%
C.80%
D.85%
Answers
Find the Perimeter of
Answers
Answer:
78
Step-by-step explanation:
Since the two angles at the bottom are congruent, you would the two equations equal to each other. So it would be:
5x-19=2x+11
Once you simplify, you will find that x= 10.
Then you plug in x for both equations, so 5(10)-19= 31 and 2(10)+11= 31
So you add up the sides: 31+31+16= 78
PLEASE HELPPPP QUICK 100 POINTS ASAP PLEASEE
Graph a line representing the proportional relationship with slope 3 containing the point (2,6)
Answers
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
DO THESE ON A PIECE OF PAPER! PLEASE HELP! QUICK!!DO ALL OF THEM!!!
Answers
Answer:
A.) 93
B.) 77
C.) 369
Step-by-step explanation:
Answer:
Its the same one that I answered lol
Step-by-step explanation:
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $
Answers
Answer:
Absolute Error is ±25$Step-by-step explanation:
Approximate Value ⇒ 100 dollarsExact Value ⇒ 75 dollarsError ⇒ 25 dollarsAbsolute Error ⇒ ±25 dollarsRatio ⇒ 25/75 = 0.3333Percent Error ⇒ 33.33%Answer:
The answer is 25
Step-by-step explanation:
Please give the other person brainliest
A linear function is shown below. What point is on the graph of the inverse of this function?
a. (1, -1)
b. (-3, 5)
c. (-4, 0)
d. (7, 1)
Answers
Answer:
c. (-4, 0)
Step-by-step explanation:
F(X) = -3X - 4
Y = -3X-4
SWAP X AND Y: x = -3y -4
y = -1/3x - 4/3
f⁻¹(x) = -1/3x - 4/3
point (-4,0): x = -4 y = f⁻¹(-4) = (-1/3)*(-4) - 4/3 = 4/3 - 4/3 = 0
will mark brainlyest
Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease.
original: 30; new: 90
Answers
Original Price $69.80 Percent of Discount 60% Sale Price = ?
Answers
Answer:
$27.92
Step-by-step explanation:
To find the sale price, multiply the original price by 0.4:
69.8(0.4)
= 27.92
So, the sale price is $27.92
The amount for sale is $27.92.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Original Price = $69.80
And, Percent of Discount = 60%
Hence, Sale price is find as;
Sale price = $69.80 - 60% of 69.80
= $69.8 - 60/100 × 69.80
= $69.80 - $41.88
= $27.92
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What is the percentage of lemons in this group of lemons and strawberries?
Answers
Answer:
50%
Step-by-step explanation:
Evaluate 4tan 45°. can someone help me im confused
Answers
Answer:
4
Step-by-step explanation:
tan 45° = 1
so,
4tan 45° = 4*1
= 4
what is the value of y=10x+2 when x = 4
Answers
Answer: y = 42
Step-by-step explanation:
y=10x+2 plug in
y=10(4)+2
y=40+2
y=42
Classify triangle ABC by its sides. Then determine whether it is a right triangle.
A (3, 3), B(6, 9), C (6,-3)
I
Answers
Answer:
right triangle it is because if u make a graph and put the points u would get a right isosclses triangle
Step-by-step explanation:
The triangle ABC with verticies A(3, 3), B(6, 9) and C(6, -3) is an isosceles triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A ΔABC with verticies A(3, 3), B(6, 9) and C(6, -3).
We know the distance formula [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
From this we find AB = √45 units, BC = 12 units and AC = √45 units.
Now, this is an isosceles triangle with two equal sides of √45 units.
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