Answer:
21x+7
The value of (fog)(x) is, 21x+7
Step-by-step explanation:
Given the functions:
f(x) = 7x
g(x) = 3x+1
We have to find (fog)(x)
(fog)(x) = f(g(x))
substitute the function g(x) we have;
(fog)(x) = f(3x+1)
Replace the value of x from 3x+1 in f(x) we have;
(fog)(x) =7(3x+1)
⇒(fog)(x) = 21x+7
Therefore, the value of (fog)(x) is, 21x+7
Can someone explain and answer
Answer:
D. y = -2x + 20
Step-by-step explanation:
first, plot these points on a linear graph.
work down from the top:
A. y = 2x + 5
look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5
y = 2x + 5
From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)
B. y = 2x - 6
the last number means the first point will be on -6 on the y axis.
y = 2x - 6
the 2x means that every 1 square you go across (to the right) from that point, you will move up 2
C. y = 2x
as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2
D. y = -2x + 20
the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.
this is the only line that moves down from left to right
CAN YOU HELP PLEASE!! YEAH U!! COME ON HELP ME!!
Answer:
It's 6/18
Step-by-step explanation:
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
If Mitchell buys 3/10 of a pound of cream cheese and 3/10 of a pound of sour cream, how much will he spend?
plain yogurt $5 per pound
sour cream $5 per pound
Greek yogurt $3 per pound
cream cheese $3 per pound
Answer:
$2.40
Step-by-step explanation:
Take the price of each item and divide by ten to find the cost of 1/10:
3 divided by 10 = .3
5 divided by 10 = .5
Then multiply by the amount he is purchasing:
.3 x 3 = .9
.5 x 3 = 1.5
Add the prices together for a total:
.9 + 1.5 = 2.4
Is 2x^2+5x^2-8 a monomial, binomial or trinomial?
Answer:
trinomial
Step-by-step explanation:
plus and minus signs separate terms.
2x^2 is a term
5x^2 is another term
-8 is another term.
The given algebraic expression is binomial.
The given expression is 2x²+5x²-8 (7x²-8).
We need to check whether the given expression is a monomial, binomial or trinomial.
What are the different types of algebraic expression?The different types of algebraic expression are explained below:
Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.
Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.
Now, the given expression 7x²-8 as two terms.
Therefore, the given algebraic expression is binomial.
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Which point could be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)
Answer:
B: (2,2)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
One pound equals 0.45 kilogram. Cathy weighs 81.36 kilograms on the bathroom scales. Determine her weight in pounds.
Answer:
179.36 pounds
Step-by-step explanation:
Her weight in pounds is 180.8
Using this formula
Weight in pounds=Weighs in kilograms/pound in kilogram
Where:
Weighs in kilograms=81.36 kilograms
Pound in kilogram=0.45 kilogram
Let plug in the formula
Weight in pounds=81.36 kilograms/0.45 kilogram
Weight in pounds=180.8
Inconclusion Her weight in pounds is 180.8.
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5 + w + 21
What is the answer helped me please
Answer:
w+5=7
Step-by-step explanation:
SOMEONE, PLEASE HELP ME OUT!
Answer:
B
Step-by-step explanation:
Angle P and Angle Q are co- interior angles so they add up to 180 degrees
If angle P is 116, then:
116+ x= 180
(x= Angle Q)
x=180-116
x=64
Circle G:(x-14)^2+(y+12)^2=49 and Circle H:(x-18)^2+(y-8)^2=196. Describe a complete series of transformation from Circle G to Circle H.
Step-by-step explanation:
The equation
(x - a)² + (y - b)² = r²
describes a circle of radius r, with center at the point (a, b).
G is a circle of radius 7 units, centered at the point (14, -12).
H is a circle if radius 14 units, centered at the point (18, 8).
Answer:
Dilation
Step-by-step explanation:
The general form of a circle with center at (h, k) and radius r units is given as
(x - h)² + (y - k)² = r²
G is a circle centered at the point (14, -12) with radius 7 units.
G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.
32pts and BRAINLIEST FOR BST ANSWER!!
Use sigma notation to represent the sum of the first seven terms of the following sequence: −4, −6, −8, …
the summation from n equals one to 7 of quantity negative 2 minus 2 times n
the summation from n equals one to 7 of quantity negative 4 plus 2 times n
the summation from n equals one to 7 of quantity negative 2 minus 4 times n
the summation from n equals one to 7 of quantity negative 2 plus 2 times n
Answer:
B
Step-by-step explanation:
B cause
Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n
Step-by-step explanation:
The given Arithmetic sequence: −10, −13, −16, …
Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d
Formula for summation is given as Sn =
Where, a= First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)
Putting values in Summation formula
Sn =
Sn =
Sn =
Sn =
Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.
Answer:
P 140 units
A 1200 units^2
Step-by-step explanation:
The length of the rectangle is 20 to -20 = 20 - -20 = 40 units
The width of the rectangle is 20 to -10 = 20 - -10 = 30 units
The perimeter is given by
P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units
The area is given by
A = lw = 40*30 = 1200 units^2
f(1) = 1
f(2) = 2
f(n) = f(n − 2) + f(n - 1)
f(3) =?
Answer:
3
Step-by-step explanation:
To find f(3) we just need to plug in 3 wherever we see an n
f(3) = f(3 - 2) + f(3 - 1)
f(3) = f(1) + f(2)
Since f(1) and f(2) are given, we can plug in the respective values
f(3) = f(1) + f(2) → f(3) = 1 + 2 = 3
Answer:
3
Step-by-step explanation:
I just did it on Khan
Please respond with the format showed on the picture so use . after the letter and display the answer.
Answer:
c
Step-by-step explanation:
(24 - 15) x 4 - 3 x 2
9 x 4 - 3 x 2
36 - 6
30
Logan is 4 times older than his cousin Dylan .Logan is less than 12 years old.which inequality shows the possible age Dylan could be.
A. d< 3
B . d > 3
C. d < 48
D. d > 48
this table shows values represented by an exponential function. What is the average rate of change for the function for the interval from x=2 to x=4?
Answer:
B
Step-by-step explanation:
2= 9
4= 64
64-9=55
If you subtract that
You will get 55
Answer:
the correct answer is 27.5
Step-by-step explanation:
Find the distance between the pair of points
(7, -2) and (11,-2)
(-5,2) and (-5,4)
(8,-10) and (5, -10)
Pls answer fast I REALLY NEED THE ANSWERS :)
Find the reference angle of 14 pie over 11
Answer:
Step-by-step explanation:
reference angle=(14 π)/11-π=(14-11)π/11=3π/11
Find the volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
Step-by-step explanation:
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen? A rectangle with length 3 cubed feet and width of 3 squared feet. Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence. The of the original exponent is the exponent in the power of product. The dog pen has an area of square feet.
Answer:
3^5 = 243 square feet
Step-by-step explanation:
Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:
1. Multiply powers:
A = 3² * 3³
2. Expand each power:
A = (3*3) * (3*3*3)
3. Simplify:
[tex]A = 3^5[/tex]
The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.
The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
The complete sentences are actually the way to solve the question and can be completed as mentioned below:
A rectangle with a length of 3 cubed feet and a width of 3 squared feet.
Find the area.
1. Multiply powers: Area = 3² · 3³
2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)
3. Simplify: Area = [tex]\bold{3^5}[/tex]
The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.
Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
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(10 points)
-22 + 31
= 2
Consider the equation 35 + 7
How do you begin isolating the variable x to one side of the equation?
The solution of the equation is
(IGNORE THE WRITEN QUESTION JUST LOOK AT THE PICTURE)
Step-by-step explanation:
Im not sure ut it looks like 3x over 3x would cancel eachother out.
Use the table below.
If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?
No
Yes
Answer:
Yes
Step-by-step explanation:
1/2 fruit cocktail—>57
broiled sirloin—>240
baked potato—>145
442 is the total so yes
Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
i have alot of work to dk sk if anyone could help pleas
All in the attachment :)
and don't complain about my drawing skills ;)
What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11
Answer:
Y=8
Step-by-step explanation:
A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8
Answer: y = 8
Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".
Since we are given that the y-coordinate is 8, that means that
the equation of this line will be y = 8.
I need help please. I WILL GIVE BRAINLY!!!!
Answer:
1.
The amount of time could be related to the battery charge by equation:
y = ax + b
a = 16% per 30 min = 32% per hour
b = 10%
=> y = 32x + 10
2.
In term of charging time, the rate of charging is 32% per hour
Pythagorean theorem:
Is a triangle with the following side lengths a right triangle? Why?
a = 4
b = 6
c = 8
Example:
This does/does not make a right triangle because...
Answer/Step-by-step explanation:
This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.
16 + 36 = 64
52 doesn't equal 64.
Answer:
This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.
"Five less than three times a number is greater than two-thirds of that number."
Which inequality matches the given statement?
A. 3n-5>2/3n
B. 5-3n>2/3n
C. 3n-5<2/3n
D. 5-3n<2/3n
Answer:
A.
Step-by-step explanation:
The inequality matches the given statement 3n-5>2/3n.
What is the inequality?An inequality is a relationship between two different quantities or expressions.
An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is b equal to
"Five less than three times a number is greater than two-thirds of that number.
3n-5>2/3n
Hence, the inequality matches the given statement 3n-5>2/3n.
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Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:
Answer:
circumfrence : 43.96 area :153.94
Step-by-step explanation:
