idk how to do this?
Answer:10/15
Step-by-step explanation:5×2/5×3
5×2=10/5×3=15
=10/15
Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?
A) f(x) = (x + 1)^2 and g(x) = | 2x + 1 |
B) f(x) = (x + 1) and g(x) = | 2x^2 + x |
C) f(x) = | 2x + 1 | and g(x) = (x + 1)^2
D) f(x) = | 2x^2 + x | and g(x) = (x + 1)
Answer:
[tex]\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}[/tex]
Step-by-step explanation:
[tex]f(g(x)) = | 2(x + 1)^2 + (x + 1) |[/tex]
The first option :
[tex]f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |[/tex]
[tex]f(g(x))=(|2x+1|+1)^2[/tex]
The second option :
[tex]f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |[/tex]
[tex]f(g(x))=(|2x^2 +x|+1)[/tex]
The third option :
[tex]f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2[/tex]
[tex]f(g(x))=|2(x+1)^2 +1 |[/tex]
The fourth option :
[tex]f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)[/tex]
[tex]f(g(x))= | 2(x + 1)^2 + (x + 1) |[/tex]
Answer:
D
Step-by-step explanation:
Graph the following function by hand by completing the table
g(x) = (x - 5)² – 3
We know that y - x^2 is a parabola with a vertex at (0, 0).
So if we move it 5 units to the right and 3 units down, the vertex is at (5, -3).
Since it gives you a chart, you can plug in values for x and solve for g(x), and you will eventually get a graph that looks like a parabola with vertex at (5, -3).
If anyone’s good with geometry, help me out please. I would really appreciate it.
Answer: X=2, PR=40
Step-by-step explanation:
given that the two triangles are equal/congruent
------------------------
solve for x
10x+5=25
10x=20
x=2
--------------------
solve for y
33=7y-2
35=7y
y=5
------------------
solve for PR
PR=8y
PR=8(5)
PR=40
Hope this helps!! :)
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (8,5), endpoint (10,8)
Step-by-step explanation:
Hey, there!!
Here, one point is A(10,8) and P(8,5) is the midpoint.
Let B(x,y) be the another end point.
Now,
Using midpoint formulae,
[tex]p(x.y) = \frac{x1 + x2}{2} . \frac{y1 + y2}{2} [/tex]
[tex]p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )[/tex]
Since they are equal,equating with their corresponding elements we get,
[tex]8 = \frac{10 + x}{2} [/tex]
or, 16 = 10 + x
or, x=16-10
Therefore, x = 6
Now,
[tex]5 = \frac{8 + y}{2} [/tex]
or, 10 = 8 + y
or, y = 2
Therefore, The coordinates of another point are B(6,2)
Hope it helps .....
(-7)(-9)=
please help i thought it was -63
Answer:
The answer is not -63 but 63
Step-by-step explanation:
You multiply -7 by -9 and that equals 63. For when you multiply two negative numbers by each other it makes a positive number because the two negative numbers are canceled out:)
I rly hope this helped. Can I plz get brainliest?
Jim scored 23 points the first basketball game and scores 25 points per game(x) after the first. 73 +25Y
Answer: 1
Step-by-step explanation:
25+23=48
48=73+25Y
-73 = -25
divide = 1
solve the inequality 12(1/2x-1/3)>8-2x
Answer:
The answer is
[tex]x > \frac{3}{2} [/tex]Step-by-step explanation:
[tex]12( \frac{1}{2} x - \frac{1}{3} ) > 8 - 2x[/tex]Expand the terms in the bracket
That's
[tex]6x - 4 > 8 - 2x[/tex]Move - 2x to the left side of the inequality to make it positive
[tex]6x + 2x - 4 > 8 \\ 8x - 4 > 8[/tex]Add 4 to both sides
That's
[tex]8x - 4 + 4 > 8 + 4 \\ 8x > 12[/tex]Divide both sides by 8
[tex] \frac{8x}{8} > \frac{12}{8} [/tex]We have the final answer as
[tex]x > \frac{3}{2} [/tex]Hope this helps you
Evaluate
5/8 - (1/4)
Answer:
3/8
Step-by-step explanation:
1. Find the LCM for the denominator: 5/8-2/8
2. subtract the numerator: 3/8
Answer:
The answer is 3/5
Step-by-step explanation:
You have to find the LCM
Then you have to subtract the numerator.
A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? $0.29 $0.34 $2.93 $3.41
Work Shown:
16 ounces = 4.69 dollars
16/16 ounces = 4.69/16 dollars .... divide both sides by 16
1 ounce = 0.293125 dollars
1 ounce = 0.29 dollars .... rounding to the nearest cent
Answer:
A i got it right in edge
Step-by-step explanation:
A cylinder with the base radius of 8cm and has a height 12cm.Calculate to four significant figure. i.the curved surface area. ii.total surface area. iii.surface area of the cylinder when opened at one end. Take π =3.142.
Answer:
Curved surface area = [tex]603.3 {cm}^{2} [/tex]Total surface area= [tex]1005 {cm}^{2} [/tex]Surface area (opened at one end)=[tex]804.4 {cm}^{2} [/tex]Given that ABCD is a parallelogram and AB is parallel to CD, which of the following statements is false? (1 point)
Sides AB and CD are congruent.
O Angles A and C are congruent.
It
O AD is parallel to BC
Ite
O Angles A and B are congruent.
Ite
Answer:
The correct option is;
Angle A and B are congruent
Step-by-step explanation:
The given parameters are;
Quadrilateral ABCD = Parallelogram
Side AB is parallel to CD
Therefore, we have for properties of a parallelogram
Opposite sides are parallel
Therefore, AB and CD are opposite sides
Opposite sides are congruent
Opposite angles are congruent, therefore ∠A and ∠C are congruent and ∠B and ∠D are congruent (depending on the orientation of side CD)
Consecutive angles are supplementary, therefore, ∠A and ∠B are supplementary angles and ∠C and ∠D are supplementary angles
Therefore, the statement which is false is Angle ∠A and ∠B are congruent.
Please help with this lesson
Answer:
50%
Step-by-step explanation:
First, add up all the females that are Freshmen or Sophomores (296).
Now, we just divide 296 by the total (592) and get 50%
A triangle with a height of 5cm and a base length of 12cm what is the perimeter
Answer: 5+5+12+12
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST 4x - 2(1 - x) = 2(4x -3)
tia shares 53 balloons equally among 4 children how many balloons will be left over
Answer: 1
Explanation:
13 x 4 = 52
53-52=1
1
Step-by-step explanation:
trust me
28. Simplify the following expression: 10 (2 + 3) - 8x3
D a) 126
Ob) 74
d) 18
c) 26
Answer:
C) 26Step-by-step explanation:
10 (2 + 3) - 8x3=10 (5) - (8x3) =50 - 24=26 Find the difference of f(x) and g(x) if f(x) = 5x^4 + 2x^3 + 3x^2 + 1 and
g(x) = 7x^3+ 4x^2+ 3
a. Is f(x) a polynomial? If not, give an explanation.
b. Is g(x) a polynomial? If not, give an explanation.
c. Is the difference a polynomial? If not, give an explanation.
d. If the difference is a polynomial, identify the coefficient of the x2 term.
Pls help with this please !!
Answer:
Step-by-step explanation:
Polynomial is sum of powers in one or more variables multiplied by coefficient.
a) f(x) is a polynomial of degree 4
b) g(x) is a polynomial of degree 3
c) difference = 5x⁴ +2x³ +3x² + 1 - [7x³ + 4x² + 3]
= 5x⁴ + 2x³ + 3x² + 1 - 7x³ - 4x² - 3
= 5x⁴ + 2x³ - 7x³ + 3x² - 4x² +1 - 3
= 5x⁴ - 5x³ - x² - 2
Please Help! Which of the following equations, when graphed, results in the parabola depicted above? (I'll put a screenshot of the graph) A. f(x)=(x+2)2+4 B. f(x)=(x−2)2−4 C. f(x)=(x+2)2−4 D. f(x)=(x−2)2+4
Answer:
B.
Step-by-step explanation:
The zeroes are 0 and 4 and the vertex is at (2, -4).
f(x) = (x - 2)^2 - 4
Answer:
B. f(x)=(x−2)^2−4
Step-by-step explanation:
The vertex form of the equation for a parabola with vertex (h, k) is ...
f(x) = a(x -h)^2 +k
The value 'a' is a vertical scale factor, which is indicated as being 1 in all of the answer choices.
The graph shows you the vertex is (h, k) = (2, -4). Putting these values into the above form, you get ...
f(x) = (x -2)^2 -4 . . . . . . matches choice B
in a small town 68% of the people owned television 72% on radio and 12% owned neither television nor radio (1)represent the information on a Veen diagram.
(2)what percentage of the population owned television.
Answer:
Percentage of those who owned TV is 16%
Step-by-step explanation:
Given
n(TV) = 68%
n(Radio) = 72%
None = 12%
Total Population = 100%
Required
What percentage owned television
See attachment for Venn diagram
[Calculating the percentage that owned television]
Represent those that own TV and Radio with x
So:
n(Both) = x
From the Venn diagram;
Total Population = (n(TV) - x )+ (n(Radio) - x) + None + x
This gives
100% = (68% - x) + (72% - x) + 12% + x
Open all brackets
100% = 68% - x + 72% - x + 12% + x
Collect like terms
100% = 68% + 72% + 12% - x - x + x
100% = 152% - x
Make x the subject of formula
x = 152% - 100%
x = 52%
The percentage of those who owned TV = n(TV) - x
Percentage = 68% - 52%
Percentage = 16%
Answer:
90%
Step-by-step explanation:
Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true?
Answer:
a = -1, b = 10Step-by-step explanation:
Given the function h(x) = (x – 1)³ + 10 so that h(x) = (g°f)(x). If f(x) = x + a and g(x) = x³ + b, then;
g(f(X)) = g(x+a).
To get g(x+a), we will have to replace the variable x with x+a in g(x) as shown;
g(x+a) = (x+a)³ + b
g(f(x)) = (x+a)³ + b
Since h(x)= g(f(x)) = (x – 1)³ + 10
g(f(x)) = (x+a)³ + b = (x – 1)³ + 10
Hence (x+a)³ + b = (x – 1)³ + 10
On comparing the coefficients to get the value of a and b;
(x+a)³ = (x-1)³
Take the cube root of both sides
∛(x+a)³ = ∛(x-1)³
x+a = x-1
x+a-x = -1
a = -1
Also on comparing, b = 10
Hence the values of a and b would make the composition true are -1 and 10 respectively.
Answer:
a: -1
b: 10
edge 2020
Negative five times a number, x, decreased by the product of two and the quantity of x increased by three is less than or equal to four decreased by triple the number, x. Which of these represents the inequality needed to solve the for the number and its solution? A. The inequality is −5x−2x+3≤4−3x and its solution is x≥−14 . B. The inequality is −5x−2(x+3)≤4−3x and its solution is x≥−52 . C. The inequality is −5x−2x+3≤4−3x and its solution is x≤−14 . D. The inequality is −5x−2(x+3)≤4−3x and its solution is x≤−52
Left Side
if x = a number
five times a number means 5 · a number = 5 · x
add a negative sign; -5·x
simplify; you don't need the multiplication symbol; -5x
minus 2·x = -2x
plus 3 = +3
-5n-2x+3
Sign
less than or equal to = ≤
Right Side
triple of x = 3·x = 3x
4 minus triple of x = 4-3x
4-3x
The final inequality is -5x-2x+3 ≤ 4-3x
♡ Hope this helps! ♡
❀ 0ranges ❀
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
Answer:
c
Step-by-step explanation:
A teacher writes a function to model the rate
of completion on a test where C(n) represents
the completion rate and n represents the
number of students who have completed the
test over a class period. What would be an
appropriate domain of the function if the
teacher has 30 students in the class?
Answer: 30 students in the class.
Step-by-step explanation:
Domain is the set of all input values.
Given : A teacher writes a function to model the rate of completion on a test .
C(n) represents the completion rate
n represents the number of students who have completed the test over a class period.
Here , input variable = n
So, Domain= set of values for n
Since class has 30 students.
So, Domain = 30 students.
Hence, the appropriate domain of the function : 30 students.
in triangle ABC, angle b = 45 degree, angle c =55 degree,AD bisects angle A,find angle ADB and Angle ADC
Answer:
angle a + angle b + angle c = 180 (angle sum property)
a + 45+55= 180
a + 100 = 180
a = 180-100
a= 80
AD bisects angle a
i.e angle ADB= angle ADC
angle ADB + angle ADC = 80
angle ADB + angle ADB =80
2angleADB= 80
angle ADB = 80/2
angle ADB = 40
angle ADB = angle ADC
40 = angle ADC
plz mark as brainliest
please help me with this question!!
Answer:
B. Negative
Step-by-step explanation:
We are given that x equals negative and y equals positive.
That means the fraction is negative multiplied by the 7y³ term, which is positive.
Negative times positive is negative, so B is our answer.
Click an item in the list or group of pictures at the bottom of the problem and, holding the
correct position in the answer box. Release your mouse button when the item is place.
Factor completely and then place the factors in the proper location on the grid.
x2 - 10x + 24
There are 1,000 meters in 1 kilometer. Convert 5,000 meters to kilometers.
A) 0.5 km
Eliminate
B) 5 km
C) 50 km
D) 500 km
Answer:
B) 5 km
Step-by-step explanation:
There are 1,000 m in 1 km, so x km=5000m
Set up a proportion:
[tex]\frac{1000m}{1km}=\frac{5000m}{x km}[/tex]
Cross multiply and solve for "x":
(1000 m)(x km)=(5000 m)(1 km)
1000x=5000
(1000x/1000)=5000/1000
x=5 km
What is the area of this polygon? (see Image for answers
Answer:
43.5 sq. units
Step-by-step explanation:
Area 1 = 1/2 * 3 * 2 = 3
Area 2 = 1/2 * 5 * 1 = 2.5
Area 3 = (8 + 11)/2 * 4 = 38
total area = 3 + 2.5 + 38 = 43.5 sq. units
(30)(-30) ANSWER QUICK IM DOING A WORKSHEET IN CLASS
Answer:
-900
Step-by-step explanation: