The value of f(g(x)) is, [tex]f(g(x))=3x^{2} -24x+50[/tex]
Composition of function:The given function are,
[tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]
We have to find [tex]f(g(x))[/tex].
[tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]
Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]
Learn more about the Polynomials here:
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Sarah sold 12 boxes of girl scouts cookies. If Sarah sold three times as many boxes as Amiyah, how many boxes did Amiyah sell?
Answer:4
Step-by-step explanation:
yes I am so certainly brainly right now
What is that supposed to mean
Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175. 75 + ?m = 175
Answer:
2 months for $175
Step-by-step explanation:
2x5 is 10 so 2x50 = 100 and since 75 was already in the bank when he started doing deposits, it took him 2 month to deposit 100
Answer:
50
Step-by-step explanation:
i got this one wrong 175 isnt correct
Ratio of wins to losses in 42 games with 35 wins.
oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash
Why is thinking about the problem before you work important?
Answer: It's good to think about things before doing them because it is more thought out and you have a better chance of getting things correct whereas without thinking your most likely going to get it wrong. Without thinking through your options you are basically guessing the answer. I hope this helped you have a great day and god bless you :D
A line segment has the endpoints P(-7, 6) and Q(-3, 9). Find the coordinates of its
midpoint M
Write the coordinates as decimals or integers.
Answer:
[tex]MP= (-5,7.5 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{-7+-3}{2} )(\frac{6+9}{2} )[/tex] -7+-3= -10 6+9=15
[tex]MP= (\frac{-10}{2} )(\frac{15}{2} )[/tex] -10/2=-5 15/2=7.5
[tex]MP= (-5,7.5)[/tex]
Solve for x. 20 points and I give brainliest
Pls provide work. Due in an hour
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
To solve for x, we can use the Exterior Angle Theorem.
The Exterior Angle Theorem states that the exterior angle is equivalent to the sum of the two opposite, interior angles.
So, we can write the following equation:
[tex](6+25x)=(44)+(18x-3)[/tex]
Now, we just have to solve for x.
On the right, let's subtract. So:
[tex]6+25x=18x+41[/tex]
Now, let's subtract 18x from both sides. This gives:
[tex]6+7x=41[/tex]
Now, let's subtract 6 from both sides. This will yield:
[tex]7x=35[/tex]
And, finally, let's divide both sides by 7, giving us:
[tex]x=5[/tex]
And we're done!
We can use the Exterior Angle Theorem.
6 + 25x = 44 + 18x - 3
6 + 25x = 18x + 41
25x = 18x + 35
7x = 35
x = 5
Best of Luck!
Mary Ellen has a white oak tree in her backyard.she observed that the tree had grown 2/3 foot in 3/4 year. What is the tree grownth rate in feet year? A.1/2 b.9/9 c1/1.8 d.2
Answer:
in 3/4 year tree had grown 2/3
in 1 year tree had grown (2/3)/0.75 =8/9 feet
Step-by-step explanation:
How do I solve this problem?
What’s the absolute value of -6.5
Answer:
6.5
Step-by-step explanation:
|-6.5| = 6.5
Answer:
6.5
Step-by-step explanation:
write two inequaltities to compare -5 and -3
-5 < -3 and the second inequality is -3 > -5
HELP!!Mark the figure to illustrate the givens.(Show work) ~will make brainliest
Refer to the attachment for solution.
f(x)=18x+11, find f(5)
Answer:
[tex]\boxed {\tt f(5)=101}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)=18x+11[/tex]
and asked to find f(5). Therefore, we must substitute 5 in for each [tex]x[/tex].
[tex]f(5)=18(5)+11[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Multiply 18 and 5.
[tex]f(5)=90+11[/tex]
Add 90 and 11.
[tex]f(5)=101[/tex]
f(5) is equal to 101.
The ratio of boys to girls in the lunch room was 4 to 3. If there were 84 students in the cafeteria, how many were girls?
Step-by-step explanation:
9868866858566586575765578
The whole numbers are the set of what numbers and zero ?
Answer:
An integer number is one that can be written without using fractions or decimals, and it is an expression of ( 1.2.3..... ) and 0, and negative numbers (- 1-2-3...... )
x[8x + (-4)x]² - (4)-(-6)x
Can someone help please
Answer:
[tex]x > \frac{16}{3} [/tex]
Step-by-step explanation:
[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]
what would be equivalent to 32 ⋅ 35?
Step-by-step explanation:
35•32 or 1120 there you go
Why are there two solutions for the equation |6 + y| = 2? Explain.
(there should be a solution and an explanation onto why there is two answers)
Answer:
Sample response: The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the
Step-by-step explanation:
5. Solve for x:
| 5x – 4 =16
Answer:
x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8
Answer: No solution
Step-by-step explanation:
To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.
(2x+y=4)2
-4x-2y=8
-------------------------------------------------------------------------------------------------------------
4x+2y=8
-4x-2y=8
Let's add both equations together.
0=8
-------------------------------------------------------------------------------------------------------------
Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.
2x+y=4 [subtract both sides by 2x]
y=-2x+4
-4x-2y=8 [add both sides by 4x]
-2y=4x+8 [divide both sides by -2]
y=-2x-4
-------------------------------------------------------------------------------------------------------------
If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.
Please Help!!! 20 Points! Brainliest Answer! 2 questions
Answer:
Step-by-step explanation:
its D which is 7
Use Similar triangles to calculate the height, h cm, of traingle ABE
Answer:
24 cm
Step-by-step explanation:
Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.
Then the bottom height (h) ratio to the overall height is ...
h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36
The height h is 24 cm.
What are polynomials? pls help, I don't understand!!!!!!
Answer:
Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.
Answer:
They are expressions with variables. For example, 2x + 5 - 7x. That would be a polynomial.
for which equations below is x = -3 a possible solution ?
lxl = 3
lxl = -3
l-xl = 3
l-xl = -3
-lxl = -3
Answer:
-/x/ = -3 (Sorry I couldn't put the lines)
Step-by-step explanation:
Negative and a negative = a positive
I hope this helps you :)
what is 210 divided by 2 1/2
Answer:
210 divided 2 1/2= 84....
The 210 divided by 2 1/2 is 84.
To calculate 210 divided by 2 1/2, first, we need to convert the mixed number 2 1/2 to an improper fraction. The improper fraction for 2 1/2 is (2 * 2 + 1) / 2 = 5/2.
Now, we can perform the division:
210 ÷ 5/2
To divide by a fraction, we multiply by its reciprocal:
210 * 2/5
Now, perform the multiplication:
(210 * 2) / 5 = 420 / 5
Next, simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 5:
420 ÷ 5 = 84
The result of 210 divided by 2 1/2 is 84. So, 210 ÷ 2 1/2 = 84.
To know more about divided:
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I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?
( I actually need to know I'm pulling an all nighter to reset my sleep schedule)
Answer:
11 hours and 22 minutes
a profit of 9$ integer
Answer:
+ or - $9
Step-by-step explanation:
1.6.AP-9
A family is comparing different car seats. One car seat is designed for a child up to and including 25 lb. Another car seat is designed for a child between 16 lb and 35
Ib. A third car seat is designed for a child between 25 lb and 95 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a
33-lb child?
The inequality for a child up to and including 25 lb is
(Simplify your answer. Type a compound inequality using x as the variable.)
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
What equation can Janet use to calculate the principal amount? (and please don't just answer try to solve it someone ripped me off, the last time i asked by just typing)
Answer:
t = [tex]\frac{l}{pr}[/tex]
Step-by-step explanation:
Formula or literal equation used to calculate the simple interest is,
l = prt
where 'l' = Simple interest
p = principle amount invested
r = rate of interest
t = time or duration of the investment
If we have to calculate the time of investment form the given formula,
l = prt
By the division property of equality,
[tex]\frac{l}{pr}=\frac{prt}{pr}[/tex]
[tex]t=\frac{l}{pr}[/tex]
Therefore, formula to be used is, [tex]t=\frac{l}{pr}[/tex]