9514 1404 393
Answer:
B. 9x² +15x -6
Step-by-step explanation:
The composition operator means that function f is applied to function g:
[tex](f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}[/tex]
Very much need help
f (x) = 3x + 5
Solve for x=5
The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.
Answer:
[tex]W = 8.255[/tex]
[tex]L = 31.02[/tex]
Step-by-step explanation:
Let L = Length and W = Width.
So:
[tex]L = 4W - 2[/tex]
[tex]Area = 256[/tex]
Required
Find L and W
Area is calculated as:
[tex]Area = L * W[/tex]
Substitute 4W - 2 for L and 256 for Area
[tex]Area = (4W - 2) * W[/tex]
[tex]256 = (4W - 2) * W[/tex]
Open Bracket
[tex]256 = 4W^2 - 2W[/tex]
Divide through by 2
[tex]128 = 2W^2 - W[/tex]
Equate to 0
[tex]2W^2 - W - 128 = 0[/tex]
An equation [tex]aw^2 + bw + c = 0[/tex] has the roots
[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 2[/tex] [tex]b = -1[/tex] [tex]c = -128[/tex]
So:
[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]
[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]
[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]
[tex]W = \frac{1\± 32.02}{4}[/tex]
[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]
[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]
[tex]W = 8.255[/tex] or [tex]W = -7.755[/tex]
But the dimension can not be negative.
So:
[tex]W = 8.255[/tex]
Recall:
[tex]L = 4W - 2[/tex]
[tex]L = 4 * 8.255 - 2[/tex]
[tex]L = 31.02[/tex]
2. What is the equation in point-slope form of the line that passes through the point
(4,-5) and has a slope of = ?
3
Answer:
y+5=[tex]\frac{2}{3}[/tex](x-4)
Step-by-step explanation:
Which system of equations is represented by the graph?
if f(x)=x^2+4x-12. find f(2)
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
If you want to know more about evaluating:
https://brainly.com/question/4344214
#SPJ2
HELP!!! I NEED HELP!
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are __The coordinates of the point that is a reflection of Y across the y-axis are __
Answer: Reflection over X axis is (-4, 2) and reflection over the Y axis is (4, -2)
Step-by-step explanation:
*PLS HELP MEE* There are 80 servings in a box of cereal. Each serving size is 1/8 of a cup of cereal. If one person eats 1 cup and another eats 3 cups, how many cups are left in the box of cereal?
Answer:
2 cups left in the ceral box!
Step-by-step explanation:
please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!
What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2
Answer: The only force on it is its weight, w=9800N
Step-by-step explanation:
sammy and two friends rented three life jackets and a sailboat . the life jackets were $3 each and boat was $12 an hour . The total cost was $81 . for how many hours did they rent the sailboat
3 life jackets $3.00= $9.00
1 sailboat $12.00/hr
Total cost = $93.00
93-9= 84
84/12= 7
7 hours
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
3%
?
Answer:
4.50
Step-by-step explanation:
Answer:
Sales tax:1.50, total cost:51.50
Step-by-step explanation:
price x sales tax rate = sales tax
50 x .03 (3%) = 1.50 sales tax
price + sales tax = total cost of item
50 + 1.50 = 51.50
Adventure Time
Come on grab your friends
We'll go to very distant lands
With Jake the Dog and Finn the Human
The fun will never end, it's Adventure Time!
Answer:
so i graphed it and it does end
Step-by-step explanation:
Answer:
Adventure time is a great show they shouldve made more episodes
Step-by-step explanation:
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?
Answer:
Choice A. $2,392 is the correct answer
Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26
Answer:
Ans. 41
Step-by-step explanation:
By using the formula of pythagoras theorem,
h^2 = p^2+b^2
or, h = sqrt(9^2+40^2)
or, h = sqrt(81+1600)
or, h = sqrt(1681)
or, h = sqrt(41^2)
or, h = 41 #
What is the sum of 2x-5x+x+y
Answer:
-2x + y
Step-by-step explanation:
2x - 5x + x + y
combine all like terms ( x with x and y with y)
-2x + y
Hope this helps!!!
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
Answer:
5x9.2x3.4=156.4
Step-by-step explanation:
plug in 9.2 for x and 3.4 for y then multiply
Lily invested $90,000 in an account paying an interest rate of 4.6% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $221,200?
Answer:
20
Step-by-step explanation:
I'm just doing this for points but it is the right answer
Combine like terms:
8b + 8 -4b -3
Which one should I choose
Answer:
-32
Step-by-step explanation:
((−4)(4))(2)
=−32
Answer:
-32
Step-by-step explanation:
hope this helps you out
Giving brainlest to the correct answer
Answer:
The percentage of people surveyed that were satisfied with the car is 55%.
Step-by-step explanation:
1,100/2,000=0.55*100= 55%
is there anything after 16a+20 ?
Answer:
The equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Step-by-step explanation:
Given the expression
[tex]4(4a+5)[/tex]solving the expression to determine the equivalent expression
[tex]4\left(4a+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]
[tex]=16a+20[/tex]
Taking 2 as the common factor
[tex]=2\left(8a+10\right)[/tex]
Also
[tex]12a+20+4a = 16a+20[/tex]
Therefore, the equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
write the slope intercept form of the equation of each line
Plssss answer ASAP!!!!!!
Answer:
You do 2 times 5x, the simplify.
Answer: none of these
Step-by-step explanation:
17+(−8)+(−8) CAN YOU HELP GUY pls
Answer:
1
Step-by-step explanation:
17 + (-8) + (-8) = 17 + (-16)
= 1
If two numbers have same sign, then add and put the sign.
So, add (-8)and (-8), the result will have the sign (-). -16
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
17 and (-16) have different sign and the bigger number sign is +
So, the result is 1
Easy :PP
Answer~1
Explination~you would start by adding (-8)+(-8)-8 + -8
=
-16
Then add 17-16 + 17
=
1
------------------------------------------------------------------------hope I helped!!i have a question, what is a number increased by twelve? in expression symbols . . .
Answer:
well it would be +12, does that answer your question?
PLEASE HELP ILL GIVE BRAINLIEST!!
180 deg rotation about the origin and a translation 2 units left
In September, Shalee had some money in her bank account. In October she earned $48.24 and put it in her account. In November she spent three-fourths of the money in her bank account on a dress. If she spent $68.28 on the dress, how much money did she have in her account in September?
Answer:
x = $42.8
Step-by-step explanation:
Let
Amount of money shalee has in Sept = $x
Shalee October earnings = $48.24
Total money = $x + $48.24
She spent 3/4 of the money on dress
3/4 of (x + 48.24) = $68.28
3/4 * x + 48.24 = 68.28
3/4x + 144.72/4 = 68.28
3/4x + 36.18 = 68.28
3/4x = 68.28 - 36.18
3/4x = 32.10
x = 32.10 ÷ 3/4
= 32.10 × 4/3
= 128.4/3
= 42.8
x = $42.8
I know I haven't been on this app for a long time but can ya'll help me
Answer:
2774
Step-by-step explanation:
start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?
in the sequence 11, 13,15,17 the first term is and the 4th term is ?
PLS HELP
Answer:
Isnt the
Step-by-step explanation:
Isnt the first term 11
And the 4th 17 lol
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answer:
B. The graph is a horizontal line.
Step-by-step explanation:
brainest plz