f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(x)
Answer:
f(g(x))=9-x-[tex]x^{2}[/tex]
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)=[tex]x^{2}[/tex] +x
here,.
fog
=f(g(x))
=f([tex]x^{2}[/tex] +x)
=9-([tex]x^{2}[/tex] +x)
=9-[tex]x^{2}[/tex] -x
=9-x-[tex]x^{2}[/tex]
Captain Perguin bought 150 crackers for his pet parrot. He ate 10% of them himself. How many crackers did Captain Perguin eat?
Answer:
15
Step-by-step explanation:
divide it by 10 or move the decimal point one place to the left.
so 150. would be 15.0 making it 15
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Check the graph
f(x) means yHere
x is infinite in positive direction (right)y is also infinite in positive direction(up)So the answers are
[tex]\\ \rm\rightarrowtail x\to + \infty,f(x)\to 0[/tex]
[tex]\\ \rm\rightarrowtail x\to -\infty,f(x)\to +\infty[/tex]
Option B and D are correct
A box contains:
3 red crayons
7 blue crayons
4 yellow crayons
8 green crayons
2 black crayons
1 orange crayon
A crayon is chosen at random and replaced 50 times. What is a reasonable prediction for the number of times a blue or orange crayon will be drawn?
Answer:
16 times
Step-by-step explanation:
We first have to find the total amount of crayons:
[tex]3+7+4+8+2+1=25[/tex]
That means that the box contains a total of 25 crayons. Of those 25 crayons, 7 are blue and 1 is orange. That means every time one crayon is chosen from the box, there is an 8 in 25 chance it will be blue or orange. We can represent that chance as a fraction: [tex]\frac{8}{25}[/tex]
That [tex]\frac{8}{25}[/tex] chance occurs each time ONE crayon is chosen, so if we want to know how many times blue or orange will be chosen after 50 times, we can multiply that chance by 50.
[tex]\frac{8}{25}*50=400/25[/tex]
Then you simplify the fraction:
[tex]\frac{400}{25}=16[/tex]
That means that if you pull crayons from the box 50 times, a blue or orange crayon will be likely drawn around 16 times.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
Answer: 3
Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3
What is the square root of ab2?
ab
ba
a²b2
B2
Answer:
If you mean [tex]\sqrt{ab^{2}[/tex] then the answer is [tex]b\sqrt{a}[/tex]
Step-by-step explanation:
Answer:
ab
Step-by-step explanation:
Original expression:
[tex]\sqrt[]{(ab)^2}[/tex]
Apply the rule [tex](xy)^c=x^c \cdot y^c[/tex]
[tex]\implies \sqrt[]{(ab)^2}=\sqrt[]{a^2 \cdot b^2}[/tex]
Apply the rule [tex]\sqrt{xy}=\sqrt{x} \sqrt{y}[/tex]
[tex]\implies \sqrt[]{a^2 \cdot b^2}=\sqrt{a^2} \sqrt{b^2}[/tex]
Apply the rule [tex]\sqrt{x^2}=x[/tex]
[tex]\implies \sqrt{a^2} \sqrt{b^2}=ab[/tex]
13 men can weave 117 baskets in a week how many men will need to be 189 baskets in 3days
Answer:
49 men will be required to weave 189 baskets in 3 days.
Answer:
49 men required
Step-by-step explanation:
What is the slope of the line that passes through the points (–1, 3) and (5, 7)?
Answer:
6/4 or 1.5
Step-by-step explanation:
Please help me fast :((
Image attached. Please solve all leters and tell me if it's Irrational, Rational Integer, Whole, or Natural
Answer:
A is rational
B is irrational
C is integer
D is whole
E is rational
F is rational
G is rational
H is irrational
I is whole
J is whole
Step-by-step explanation:
hope this helped! i am not 100% sure this is right but i think it might be.
p.s it would be cool if you gave me brainliest.
Find the sum of the geometric series 128 - 64 + 32 – ... - 1.
Step-by-step explanation:
this sequence has 8 terms and the common ratio or multiplication factor is -1/2.
we could add these 8 numbers manually or use the formula :
Sn = a1(1 - r^n)/(1 - n)
when r < 1 (like in our case -1/2).
S8 = 128(1 - (-1/2)⁸)/(1 - -1/2) =
= 128(1 - 1/256)/(3/2) = (128×255/256)/(3/2) =
= (255/2)/(3/2) = 255/2 × 2/3 = 255/3 = 85
I need to find x. It wants me to find the indicated angle measure.
Answer:
x=33
Step-by-step explanation:
2x-18+4x=180
6x-18=180 combine like terms
+18 +18 add on both sides
6x= 198 divide
x= 33
-0.05 divided by -5/8
Answer:
0.00125
Step-by-step explanation:
what is 2 less than the square of a number in an algebraic expression
Step-by-step explanation:
let the unknown square = X
therefore
X^2 >2
72.7/30 simplified
And 42.7/30 simplified
Answer:
(1.)2.423
(2.) 1.423
Step-by-step explanation:
what is 1.9 times (1/4) ?
Answer: 19/40 Step by step
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
0.475 = 475 over 1000
475
1000
Step 2 of 2: Simplify.
Simplify
475 over 1000
475
1000
= 19 over 40
19
40
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
475 over 1000
475
1000
= ( 475 ÷ 25 ) over ( 1000 ÷ 25 )
475 ÷ 25
1000 ÷ 25
= 19 over 40
19
40
25 is the greatest common divisor of 475 and 1000. Reduce by dividing both numerator and denominator by 25.
Which inequality is true?
O A. > 1
O B. 51> 15
O C. 41-2<10
O D. 17+ 9 < 12
Answer:
B
Step-by-step explanation:
51 is larger than 15.
Hope this helps.
Answer:
bobux
Step-by-step explanation:
yes because are
CAN ANYONE ANSWER MY QUESTION ASAP The diameter of a cylinder is 5 yd. The height is 4 yd. Find the VOLUME of the cylinder
Answer:
78.54 (rounded to 2 d.p)
Step-by-step explanation:
The formula for the volume of cylinder is πr(squared)h
Radius is half of the diameter so 5/2 = 2.5
The height is 4
Therefore,
π x 2.5 x 4 = 78.53982
A roll of quarters is 10$ how many q in a roll write a equation
Answer:40
Step-by-step explanation:
10 devided by .25 = 40
What is the equation in slope-intercept form of a line with
3
slope - and y-intercept –7?
3
y7
O A) y=xx+7
OB) v=xx-7
OC) y=x+7
)
X
2.
y
OD) y=-X-7
Answer:
B
Step-by-step explanation:
Just did the test. Wish you luck!!
The equation of line is y = ( 3/2 )x - 7 , where the slope is m = 3/2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 3/2
The y-intercept is b = -7
And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
So , y = ( 3/2 )x - 7
Hence , the equation of line is y = ( 3/2 )x - 7
To learn more about equation of line click :
https://brainly.com/question/14200719
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Mr. Calles collects football memorabilia of his favorite teams. He collects Rams, 49ers, and Chargers mementos. The number of Rams items he has is four more than the number of Chargers items. The number of 49ers items is twice the number of Rams items. Altogether, he has 48 items. How many items from each team does he have.
Answer:
lift
Step-by-step explanation:
your head up
13 percent of students are girls and 25 percent are boys how many students are there all ?
Answer:
0
Step-by-step explanation:
what is x and y if x+y=64 and x-y=-18
Answer:
X = 41 and Y = 23
Step-by-step explanation:
41 plus 23 equals 64 and 41 minus 23 equals 18.
The polynomial 3x2 – 10x 8 has a factor of 3x – 4. what is the other factor of 3x2 – 10x 8?
The other factor of the polynomial [tex]\rm 3x^2-10x+8[/tex] is ( x - 2 )
It is given that the polynomial [tex]\rm 3x^2-10x+8[/tex] has a factor of [tex]\rm (3x-4)[/tex].
It is required to find the other factor.
What is Polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomial:
[tex]\rm = 3x^2-10x+8[/tex]
Now by using the factorization method:
[tex]\rm = 3x^2-10x+8\\\rm = 3x^2-6x-4x+8\\\rm =3x(x-2)-4(x-2)\\\rm = (x-2)(3x-4)[/tex]
Thus, the other factor of a given polynomial is ( x-2 )
Learn more about Polynomial here:
https://brainly.com/question/17822016
Plssssssssssss help me
Answer:
I believe it is D
Step-by-step explanation:
help please i don’t understand and this is do today :/!!
Answer:
18.4
Step-by-step explanation:
the angle is what u are to find, using the trig function Tan.
In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to the function f(x)=6x-4,f(x)=6x−4, where xx is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.
Answer and explanation:
Find answer and explanation attached
If AB = 10 and B lies at -6, where could A be located?
Answer:
26
Step-by-step explanation:
AB to B is 16 units, so it's reasonable to assume that A to AB is 16 units as well.
SOMEONE HELP PLEASE 7TH GRADEEEEEEEEEEEEEEEEE
Find the midpoint P(-7, -3) and Q(9,-5)
Answer:
(1,-4)
Step-by-step explanation:
How do you work out the probability