Answer:
( f h ) (x) = 6 x² - 1
Step-by-step explanation:
Step(i):-
Given f(x) = 3 x - 4
g (x) = −x²+2 x−5
h (x) = 2 x² + 1
j (x) = 6 x + 2 - 8 x
K (x) = 3 x² - x + 7
Step(ii):-
( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )
= 3 (2 x² + 1 ) - 4
= 3 ((2 x² ) + 3 - 4
= 6 x² - 1
Final answer:-
∴ ( f h ) (x) = 6 x² - 1
Given f(x)=-x+6 and g(x) =f(x+3), write an equation for function g.
Answer:
G(x)=-(x+3)+6
Step-by-step explanation:
f(x) means that whatevers in the parentheses is x. In g(x) x is equal to x+3
what the the perimeter of this polygon?
Answer:
21.7
Step-by-step explanation:
you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it
hope this helps.
If h(x) is the inverse of f(x), what is the value of h(f(x))?
N
0
х
f(x)
Answer:
If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
Step-by-step explanation:
Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain
Option C is correct
I would appreciate it if you marked me brainliest :)
Which equation is a point slope form equation for line AB?
Oy-2=2(x+2)
Oy-6=-2(x+2)
Oy-2=-2(x+6)
Oy- 2 = -2(x+2)
Answer:
y-6= -2(x+2)
Step-by-step explanation:
A= (-2, 6)
B= (2, -2)
y= mx+b
slope:
m= (y2-y2)/(x2-x1)= (-2-6)/(2+2)= -8/4= -2intercept:
6= (-2)*(-2)+b ⇒ b= 6-4= 2the function is:
y= -2x+2y-2=2(x+2) ⇒ y= 2x+6 - no
y-6= -2(x+2) ⇒ y= -2x +2 - yes
y-2= -2(x+6) ⇒ y= -2x - 10- no
y-2= -2(x+2) ⇒ y= -2x- 2 - no
can you add a fraction and a whole number.give and example
Step-by-step explanation:
if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .
example : the mixed number 8 3/4 is understood to mean the same thing as
8 + 3/4.
URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state B, how many counties does each state have?
Explain how a marshland could prevent flooding in a nearby town.
Answer:
Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.
Step-by-step explanation:
Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!
If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14?
Answer:
(1, -5) is the solution of the system
Step-by-step explanation:
y = negative 7 x + 2 should be written as y = -7x + 2, and
y = 9 x minus 14 as y = 9x - 14
Use elimination by substitution to solve this system. Equate the two equations together to eliminate y: y = 9x - 14 = -7x + 2.
Combining like terms, we get 9x - 14 = -7x + 2 => 16x = 16
Dividing both sides by 16 yields x = 1.
Substituting 1 for x in the first equation yields the corresponding y-value:
y = -7(1) + 2 = -5
Thus, the ordered pair (1, -5) is the solution of the system.
Answer:
It's B
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!
Answer:
The elevation is a nonlinear function.
Step-by-step explanation:
Answer:
It's (B) The elevation is a nonlinear function.
Step-by-step explanation:
Solve log x= 3.
x=3
x= 30
x= 1,000
x= 10,000
The value of x must be equal to 1000
What is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as
For x > 0 , a > 0, and a ≠1,
y= logₐ x if and only if x = a^y
Then the function is given by
f(x) = logₐx
Given here log x= 3 ⇒x=10³
⇒x=1000
Hence, The value of x must be equal to 1000
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Find x
Please help I really need answers
A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
Answer:
The unknown number is 1.
Step-by-step explanation:
You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :
[tex]x \times 5[/tex]
[tex] = 5x[/tex]
Secondly, 5 is added to product and you will get 10 :
[tex]5x + 5 = 10[/tex]
Lastly, you have to solve :
[tex]5x + 5 = 10[/tex]
[tex]5x = 10 - 5[/tex]
[tex]5x = 5[/tex]
[tex]x = 5 \div 5[/tex]
[tex]x = 1[/tex]
Answer:
2
Step-by-step explanation:
if you divide
10 by 5
you get two
Does the graph below represent a proportional relationship? A. Yes, because it is a straight line that passes through the origin. B. No, because a proportional relationship does not have to be a straight line. C. Yes, because it is a straight line that does not pass through the origin. D. No, because it is not linear.
Answer:
A
Step-by-step explanation:
maybe i am sure don't depend on me
What is the measure of angle SQR please help
The options are
A.) 132°
B.) 55°
C.) 134°
D.) 93°
Answer:
D i think
Step-by-step explanation:
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
What is the definition of the cosine ratio of an acute angle of a triangle?
opposide side / hypotenuse
adjacent side / opposite side
opposite side / adjacent side
adjacent side / hypotenuse
Answer:
I think the answer is the last one
adjacent side / hypotenuse
Using the following image, if = 20, what are , , and .
If you are using a screen-reader, please consult your instructor for assistance.
= Answer
= Answer
= Answer
Answer:
Step-by-step explanation:
if DF=20, then:
4x+8+2x-2=20
6x+6=20
6x=14
x=14/6
x=7/3
then
DE=4x+8
DE=4(7/3)+8
DE=(28/3)+24/3
DE=52/3
And
EF=2x-2
EF=2(7/3)-2
EF=14/3-6/3
EF=8/3
Find the distance between the pair of points: (0,-8) and (0,4)
Answer:
12 units
Step-by-step explanation:
distance formula
Solve for X 4x−1 =3 Answer:
Add 1 to both sides of the equation to get 4x = 4.
Divide both sides by 4 and x = 1.
Answer:
x= 1
Step-by-step explanation:
4x-1=3
+1 +1
4x=4 (divide both sides by 4 to get x alone)
x=1
what is 6(1-10p)-7 jfghhdddcv
Answer:
-1 -60p
hope it helps
Step-by-step explanation:
6 (1-10p) -7
First solve 6(1-10p) using distributive property of subtraction
(6*1)-(6*10p) -7
= 6-60p -7
Add the constants of the equation
= (6-7) -60p
= -1 - 60p
Answer:
-60p-1
Step-by-step explanation:
Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p
So then the answer is -60p-1.
Find the solutions to the equation below.
Check all that apply.
2x^2+7x+3=0
O A. X=7
OB. X=4
OC. X=3
OD. X=-1/2
OE. X = 2
OF. X=-3
The solutions of the equation 2x²+7x+3=0 are x=-1/2 and x=-3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is 2x²+7x+3=0
Two times of x square plus seven times of x plus three equal to zero is the form of quadratic.
We can solve the quadratic equation 2x²+7x+3=0 using factoring
Let us find two numbers whose product is 2x²+7x+3=0 and
whose sum is 7.
We can see that 2x²+7x+3=0
Let us factor by grouping
2x²+6x+x+3=0
2x(x+3)+(x+3)
=(2x+1)(x+3).
x=-1/2 and x=-3
Therefore, the solutions are x=-3 and x=-1/2.
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Kristin spent $128 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 8
shirts, then how many of each kind did she buy?
Answer:
6 Fancy shirts
Step-by-step explanation:
How many days are in 6 weeks not including weekends ?
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
Your boss asks you to interpret the following from a custom paint report he has just received. µ ≥400 ml
The true mean volume of paint in each can is
Blank
or
Blank
400 ml.
Answer:
The true mean volume of p
aint in each can is greater than or equals to 400ml
Step-by-step explanation:
The symbol of μ represents the mean of a data.
Mean can be defined as the average value of a set of data
Let consider the question.
We know that
μ ≥ 400ml
Where the sign ≥ means "greater than or equals to"
Which means that μ is greater than or equals to 400ml
So the solution is:
1st blank = greater than
2nd blank = equals to
At the beginning of the week, a puppy weighed 5/14 pounds. During the week, the puppy gains 8 ounces.
How much does the puppy weigh, in pounds, at the end of the week?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
51/12
as a mixed number
4 1/4
Step-by-step explanation:
first you add 8 to 4 which is 12
so the improper fraction would be 51/12
how to turn it in to a mixed number in simplest form
step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:
51 / 12 = 4.2500 = 4
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
51 - (12 x 4) = 3
Step 3 - Put Together
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
4
3
12
Step 4 - Minimize
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:
4
1
4
Given the graph below, which of the following statements is true?
Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .
A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is 950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.
Answer:
Step-by-step explanation:
Pool:
Width = x ft
Length = (x+6) ft
Pool along with walkway:
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Answer:
29.4 length and 21.4 width.
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total
Classify COB in the image above as either acute, obtuse, right, or straight angle.
Answer:
Number 2 obtuse
Step-by-step explanation:
Answer:
∠COB is obtuse angle
Explanation:
I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.
We can clearly see, just by looking at the image. ∠COB is an obtuse angle
What is the value of log6255?
Answer:
1/4
Brainliest!Step-by-step explanation:
1/4 on my calculator
The value of log 5 to the base 625 is 1/4 .
How to find the value of logarithm with any base value -From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,
∴ log a to the base b = x
⇒ [tex]a = b^{x}[/tex]
Thus we can take log 5 to the base 625 = x
∴ [tex]5 = 625^{x}[/tex]
From the above equation, we can get the value of x as 1/4
Thus the value of log 5 to the base 625 is 1/4
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