using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)?
whats (f of g)(5)?
Answer:
f(g(x)) = 722, and g(f(x)) = 154
Step-by-step explanation:
f(x) = 2x²
g(x) = 3x + 4
g(f(x)) = 3(2x²) + 4
g(f(5)) = 3(2 × 5²) + 4
g(f(5)) = 3(2 × 25) + 4
g(f(5)) = 3 × 50 + 4
g(f(5)) = 154
f(g(x)) = 2(3x + 4)²
f(g(5)) = 2(3 × 5 + 4)²
f(g(5)) = 2 × 19²
f(g(5)) = 2 × 361
f(g(5)) = 722
please help! 30 points !!
Answer:
1. C
2. C
Step-by-step explanation:
1. 5x+12=57
Subtract 12 from both sides
5x=45
Divide both sides by 5
x=9
2. 7-4x=12-3x
Combine like terms =
-4x+3x=-12-7
x=-12-7
x=19
Every month, Ms. Thomas pays her car loan through automatic payments ( withdrawals) from her savings
account. S he pays the same amount on her car loan each month. A t the end of the year, her savings
account balance changed by െ$2,931 from payments made on her car loan.
Answer:
Who is Mrs. Thomas?
Step-by-step explanation:
12-(m-3)=4
solve the equations
Answer: m = 11
Step-by-step explanation:
12 - (m - 3) = 4
Distributive property
12 - m + 3 = 4
Combine like terms
-m + 15 = 4
Subtract both sides by 15
-m = -11
Divide both sides by -1
m = 11
What is the difference between perimeter and area of polygons?
Answer: The perimeter is when you add all of the sides together, and the area is when you multiply the sides together
Step-by-step explanation:
what is x of the equation 3(2x+1)+11=-2(2x-2)
Answer:
x=1
Step-by-step explanation:
rewrite in simplest terms 5g-4(-0.5g+0.9)
Which of the following are adjacent angles?
Answer:
Solution :
********************************************
Two angles are said to be a pair of
adjacent angles if they have a common
arm and lie on the either sides of the
common arm .
***********************************************
Now ,
i ) a , b are a pair of adjecent angles .
ii ) c , d are pair of adjecent angles.
iii ) e, f are not adjecent angles .
Step-by-step explanation:
A new bridge has a weight limit of 3 tons, tiene car weighs 7,900 lbs. Will the besble to drive her
care across the bridge, explain why or why not
Answer:
no
Step-by-step explanation:
3 tons is 3,000 and 7,000 is 7 tons
What is the probability of rolling a number divisible by 3 on a 6-sided standard number cube?
Answer:
1/3
Step-by-step explanation:
Write each of these ratios in their
simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213 E) 142:213 F) 38:57 G) 33:44 H) 31:42
Answer:
A) 3:9 => 1:3
B) 12:36 => 1:3
C) 13:39 => 1:3
D) 71:213 => 1:3
E) 142:213 => 2:3
F) 38:57 => 2:3
G) 33:44 => 3:4
H) 31:42 => 31:42 or 21:42 => 1:2
Step-by-step explanation:
The simplest form of the ratios are as follows:
A) 3:9
Dividing the ratio by 3
1:3
B) 12:36
Dividing the ratio by 12
1:3
C)13:39
Dividing the ratio by 13
1:3
D) 71:213
Dividing the ratio by 71
1:3
E) 142:213
Dividing the ratio by 71
2:3
F) 38:57
Dividing the ratio by 19
2:3
G) 33:44
Dividing the ratio by 11
3:4
H) 31:42
The ratio is already in simplest form as 31 and 42 don't have a common multiple.
Or it might be mistakenly typed 31 instead of 21
Then the simplest form will be:
21:42
1:2
Hence,
A) 3:9 => 1:2
B) 12:36 => 1:3
C) 13:39 => 1:3
D) 71:213 => 1:3
E) 142:213 => 2:3
F) 38:57 => 2:3
G) 33:44 => 3:4
H) 31:42 => 31:42 or 21:42 => 1:2
[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } [/tex]
Step-by-step explanation:
[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } \\ = \sqrt{ \frac{7}{9} } - \sqrt[3]{27} \\ = \frac{ \sqrt{7} }{3} - 3 \\ = \frac{ \sqrt{7} - 9}{3} [/tex]
What's the circumference of a
circle with a diameter of 22 inches? (use 3.14 for pi)
Answer:
69.08
Step-by-step explanation:
circumference is pi times diameter
22×3.14=69.08 inches
Answer:
C = 69.08 in
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Radius: r = d/2Circumference: C = 2πrStep-by-step explanation:
Step 1: Define
d = 22 in
Step 2: Find r
Substitute: r = 22 in/2Divide: r = 11 inStep 3: Find C
Substitute: C = 2π(11 in)Multiply: C = 22π inMultiply: C = 69.08 infirst come first serve
1+1 equals what
you will get 40 points
Answer: 1+1 = 2 :)
Step-by-step explanation:
Answer:
1+1=2
this is a very simple question
a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99
Answer:
9 sleeves for 22.99
Step-by-step explanation
The first pack has a unit rate of $11.49/ 4 balls
=$2.8725
The second pack has a unit rate of $16.79/6balls
=$2.798 per ball
the third pack has a unit rate of $22.99/9balls
=2.554
So, I would definitely go for the third pack since it has the least cost.
......................................
Answer:
C
Step-by-step explanation:
Yeyeyeeyeyeyeeyeeypok2kd
Simplify fully 5x^2 x 3y^4 x 2x x y^3
Please help Due Tomorrow
Answer:
O
Step-by-step explanation:
They reflected the image but when you closely look at it you can see that F is in the same spot as O so they are congruent.
Hope this helps :)
I NEED HELP ASAP PLEASE
How do u write
A number is a maximum of twelve
Answer:
Step-by-step explanation:
4x3 is the max of 12
What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.
total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
Triangle ABC Triangle DFE. What is the measure of Angle E in degrees?
Answer:
Angle E is 30⁰
Explanation:
If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E
Making Angle E: 30⁰
a= b=16 c=20
what is A's answer?
Answer:
A is 12
Step-by-step explanation:
It's going by 4's
Find the perimeter??
Answer:
13 in
Step-by-step explanation:
just add all the numbers lol
Answer:
the perimeter of the triangle is 13[tex]in^{2}[/tex]
Step-by-step explanation:
All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12
[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))
[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))
[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))
Now that you have a common denominator for all 3 fractions, you can now add them all up
[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]
Now to add, the denominator has to stay the same (12), and add up all the numerators
[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]
Hope this helped!
What is the base for the follwing problem log100=2
(1 + 2/3)*(1+2/5)*(1+2/7)*(1+2/9)
Answer: 11/3 or 3.6 or 3 2/3
Step-by-step explanation:
All you have to do is simplify the expression
Solve 24 ≤ -6t
The solution is ___
Graph the solution.
Answer:
T < - 4
Step-by-step explanation:
Answer:
t<-4
Step-by-step explanation:
By what percent did
the Howard family's
water bill increase from
March to June? March $80.00, June $110.00.
Answer:
Increased by 37.5%
Step-by-step explanation:
1. Approach
First, find the amount by which the bill increased. This can be found by subtracting the final amount from the previous amount. Then set up a proportion to find out the percent by which the bill increased. Remember, a proportion is;
[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]
2. Find the increase
Subtract the bill in March from the bill in June;
June - March
110 - 80
= 30
3. Find the percent change
In this case, these are the value which will be used;
[tex]\frac{increase}{March} = \frac{percent}{100}[/tex]
[tex]\frac{30}{80} = \frac{percent}{100}[/tex]
80 percent = 3000
percent = 37.5
Rewrite the fraction as a decimal.
19/50=
Answer:
0.38
Step-by-step explanation:
19/50=0.38
I hope this helped you out! I would greatly appreciate it if you mark my answer as brainliest :D
3x + 10 = 5(x – 17)
how do i solve this?
any easy examples?
Answer:
x= 95/2 or x=47.5 or 47 1/2
Step-by-step explanation:
3x + 10 = 5(x - 17)
First Step:
multiply and combine the right side (parentheses)
5 times x = 5x 5 times -17 = -85
3x + 10 = 5x -85
Second Step:
Add like terms ----> which is: 3x and 5x -----10 and -85
BUT since you only want one x on one side, you combine x first.
3x + 10 = 5x -85
-5x -5x
-2x + 10 = -85
NOW
Third Step: Add the integers---> 10 and -85
you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.
which brings you:
-2x + 10 = -85
-10 -10
NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.
so now we have:
-2x = -95
Step Four:
divide -2 from each side to get X alone
-2x = -95
-2 -2
ANSWER:
x=47.5