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
"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.
Learn more about inequality here;
https://brainly.com/question/11968331
#SPJ2
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.
To learn more about an algebraic expression visit:
https://brainly.com/question/19245500.
#SPJ2
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.
Learn more here:
https://brainly.com/question/24838943
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 :)
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:
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
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.
Learn more about the Area:
https://brainly.com/question/1631786
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
5 + w + 21
What is the answer helped me please
Answer:
w+5=7
Step-by-step explanation:
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.
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
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.
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:
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
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
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
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:
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
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
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
CAN YOU HELP PLEASE!! YEAH U!! COME ON HELP ME!!
Answer:
It's 6/18
Step-by-step explanation:
(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.
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
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
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.
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 volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
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
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 ;)
