if f(x)=2^x and g(x)=x-4. The graph of (fog)(x) is shown below. What is the range of (fog)(x)?
Answer:
C) [tex]y > 0[/tex]
Step-by-step explanation:
[tex]f(x)=2^x\\\\g(x)=x-4\\\\(f\circ g)(x)=f(g(x))=f(x-4)=2^{x-4}[/tex]
This means that the parent function, [tex]f(x)=2^x[/tex], will shift 4 units to the right along the x-axis, so this DOES NOT affect the range (nor the domain either). Thus, [tex]y > 0[/tex] would be the range.
You are making a blanket with a fringe border of equal width on each
side. (Section 7.1 and Section 7.2)
Answer:
Step-by-step explanation:
What is the solution for this equation?
-½n² + 18 =0
n= ____
Answer: n=6
Step-by-step explanation:
First you subtract 18 from both sides so that it become -1/2n^2=-18
Second divide both sides by -1/2 so it becomes -18/(-1/2)=n^2
Then you simplify and get n^2=36
Finally you find the square root of both side, and you get n=6
Pls help
Find the area
Answer:
240 square feet
Step-by-step explanation:
The area of a composite figure can be found by adding the areas of its parts.
__
Extending the vertical line across the figure cuts off a rectangle on the left that is 18 ft long and 10 ft high. It cuts off a triangle on the right that has a base of 20 ft and a height of 24-18 = 6 ft.
The sum of the areas of these parts is ...
rectangle area + triangle area
= (10 ft)(18 ft) +1/2(20 ft)(6 ft) = 180 ft² +60 ft²
= 240 ft² . . . . area of the figure
_____
Additional comment
You can see that this is the product of the height of the rectangle and the overall length of the figure. This means the smaller triangles that stick above or below the horizontal lines would fit exactly into the spaces at the tip of the arrow, filling in a 10 ft × 24 ft rectangle.
Please helppp
Answers:
-6.5*C/km
-0.29 *C/km
-3.5 *C/km
-0.15 *C/km
Answer:
C
Step-by-step explanation:
Mike can run 1/2 mile in 1/15 of an hour. How many miles can mike run in 1 hour?
i need answer fast
What is the future value for a 300 deposit earning 4% compounded int for 2 years
Hello
300 x 1.04 ² = 324.48
Write the equation of the graph.
y=1/2x+5
y−3=−1/2(x+1)
y−3=1/2(x+1)
y+3=−1/2(x−1)
Answer:
Solve by Graphing y=1/2x-5 y=-1/3x. y=12x−5 y = 1 2 x - 5 y=−13x y = - 1 3 x. Combine 12 1 2 and x x . y=x2−5 y = x 2 - 5. y=−13x y = - 1 3 x.
Step-by-step explanation:
Alguien puede resolver esto (Can you solve this operation plis)
-10/3 : 2
Gracias(Thaks you)
Find the mean for the set of data.
0.2, 0.21, 0.17, 3.22, 0.2
Answer:
0.8
Step-by-step explanation:
Find the mean of the list:
(0.2, 0.21, 0.17, 3.22, 0.2)
The mean of a list of numbers is given by:
(sum of elements)/(number of elements)
(sum of elements) = 0.2 + 0.21 + 0.17 + 3.22 + 0.2:
(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/(number of elements)
Counting, we see that the list has 5 elements:
(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/5
0.2 + 0.21 + 0.17 + 3.22 + 0.2 = 4:
4/5
4/5 = 0.8:
Answer: 0.8
Answer:
0.8
Step-by-step explanation:
The mean of the data set can be found by adding all terms together and dividing by the amount of terms there is. In this case, add all the numbers and divide by 5:
(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/5 =
(4)/5 = 0.8
0.8 is the mean for the given set.
~
Help please! 10 points
Answer:
74 degrees
Step-by-step explanation:
sin(Ф) = O/H
sin(Ф) = 24/25
Ф = [tex]sin^-^1(24/25)\\[/tex]
Ф = 73.7397...
these numbers form an addition and subtraction fact family choose the fact family formed by these numbers 6,7,13 what is the fact family of that number
Answer:
7 + 6 = 13
13 = 7 + 6
13 – 6 = 7
7 = 13 – 6
Step-by-step explanation:
A package of 5 pairs of insulated gloves costs $43.95. What is the unit price of the pairs of gloves?
Answer:
5.89 dollars
Step-by-step explanation:
To find the unit price, we use t/q where t is the total price and q is the quantity.
Therefore, it costs 5.89 dollars for a pair of gloves.
The unit price of the pair of gloves will be $8.79 for each pair of gloves.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A package of 5 pairs of insulated gloves costs $43.95. Then the unit price of the pairs of gloves is calculated as,
Rate = $43.95 / 5
Rate = $8.79 for each pair of gloves
The unit price of the pair of gloves will be $8.79 for each pair of gloves.
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if h(x) = x^2-5x+7 find each value
1/3*h(-8)
if h(x) = [tex]x^{2} -5x+7[/tex] so the value of [tex]\frac{1}{3}[/tex]× [tex]h(-8)[/tex] = [tex]\frac{111}{3}[/tex].
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that result in equality is the first step in solving an equation with variables. The variables that must be included in the equation are also known as the unknown.
we have h(x) = [tex]x^{2} -5x+7[/tex]
So, substitute the value [tex]x=-8[/tex] in the equation,
h([tex]-8[/tex]) = [tex](-8)^{2} -5(-8)+7[/tex]
= [tex]64+40+7[/tex]
= [tex]111[/tex]
And now we shall multiply it with [tex]\frac{1}{3}[/tex],
we get, [tex]\frac{1}{3}[/tex]× [tex]h(-8)[/tex] = [tex]\frac{111}{3}[/tex]
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Which graph correctly represents f (x) = 3 ?
2
Answer:
I can't read some of the problem
Use the inductive reasoning to find the next two numbers in each pattern.
-4,-2,0,2,____,____
is the division of two whole numbers is always a non-integer rational number?
Answer:
Every quotient of two integers is always a rational number but not always an integer
Step-by-step explanation:
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What is the product? (x+3)(2x-1)
[tex] {2x}^{2} - 3[/tex]
[tex] {2x}^{2} + 6x[/tex]
[tex] {2x}^{2} + 5x - 3[/tex]
[tex] {2x}^{2} + 6x - 3[/tex]
Step-by-step explanation:
x(2x-1)+3(2x-1)
2x^2-x+6x-3
2x^2+5x-3
Answer:
2x^2+5x‒3
Step-by-step explanation:
(x+3)(2x‒1)=x(2x‒1)3(2x‒1)
=2x^2‒x+6x‒3
=2x^2+5x‒3
i hope &i wish it helps you
What is 98 square inches to inches
Answer:
9.8995 inches
hopefully this helps
Simplify by combining like terms. 8a3 + 9t + 7a3 + 6t + 8a2
Step-by-step explanation:
8a3 + 9t + 7a3 +6t + 8a2
8a³+7a³+8a²+9t+6t
15a³+8a²+15t
1. Find the radius of Circle A. r-
1
2. Find the diameter of the Circle A. d-
3. Find the circumference of the circle. C-
4. Find the area of the Circle. A =-
5. Shade in a sector of 90° on the circle. Find that sector area. Area of Sector =
6. Determine the arc length of circle from the shaded region above. Arc Length =
7. Write the equation for the circle.
Answer:
A i think
Step-by-step explanation:
What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)
Answer:
-8m^5+10m^4+9m^3-16m^2+5
Step-by-step explanation:
PLATO
The standard form is ( -8m⁵+10m⁴+9m³-16m²+15m ).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be solved as:-
E = ( 3m² - m )( 4m³ + m - 5 )
E = -8m⁵ - 2m⁴ + 10m³ - 15 m² - 4m³ - m² + 5m
E = ( -8m⁵+10m⁴+9m³-16m²+15m ).
Therefore, the standard form will be ( -8m⁵+10m⁴+9m³-16m²+15m ).
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Determine the rational zeros for the function f(x)=8x^(3)-6x^(2)-23x+6.
a. -(1)/(2),(1)/(4),2
c. -1(1)/(2),(1)/(4),2
b. 1(1)/(2),(1)/(4),-2
d. -1(1)/(2),-(1)/(4),2
Answer:
Step-by-step explanation:
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price $40.00 Rate of Sales Tax 3% Sales Tax ?
Answer:
tax: $1.20total cost: $41.20Step-by-step explanation:
The sales tax is found by multiplying the tax rate by the item price. The total cost will be the sum of the item price and the tax.
__
tax = 0.03 × $40 = $1.20
total cost = selling price + tax = $40 +1.20 = $41.20
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Answer: I don’t know much but I still know some! If you ever need help reply to this comment please
Step-by-step explanation:
On Monday, Jolene played basketball and made 75% of the shots she took. If she missed 7 shots, how many shots did she take? Show your work.
Answer:
She took 28 shots, 7 shots would be the remaining 25% so you multiply it by 4 to get 100% or 7 × 4 = 28
missed shots = 7 = 25% since 75% are successful
proportionality table
25% ...............7
100% ........... = 7 x 100% : 25% = 28
total = 28 shots
With a coupon you can get a pair os shoes that normally costs $84 for only $72 what percentage was the discount
Given parameters:
Original selling price = $84
Discounted Selling price = $72
Unknown:
Percentage discount = ?
Solution:
To find the percentage discount;
Find the discount amount Then find the percentage discount from this value when you place it over the original selling priceDiscount = Original selling price - Discounted selling price
= $84 - $72
= $12
Now,
Percentage discount = [tex]\frac{12}{84} x 100[/tex] = 14.3%
The percentage discount is 14.3%
There are 27 marbles in a blue jar. The blue jar has 9 times as many marbles as a red jar. Let n be the number of marbles in the red jar.
Answer:
n = 2.7
Step-by-step explanation:
Set up an algebraic expression: 9n + n = 27Combine like terms: 10n = 27Divide each side by 10 to cancel out the 10 next to n. It should now look like this: n = 2.7I really hope this helps!
A pharmacist has 50 g of a topical cream that contains 75% glycerine. How many grams of the cream are not glycerine?
Answer:
12.5 g
Step-by-step explanation:
75% with glycerine, so 100% - 75% = 25% without glycerine
so 50 g ^ 25% = 12.5 g without glycerine