Answer:
[tex] \boxed{(f.g)(x) = 3 {x}^{3} - 15 {x}^{2} - 27x} [/tex]
Given:
[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]
To Find:
[tex] (f.g)(x) = f(x) \times g(x)[/tex]
Step-by-step explanation:
[tex]= > f(x) \times g(x) = (3x)( {x}^{2} - 5x - 9) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x \times {x}^{2} ) - (3x \times 5x) - (3x \times 9)\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 {x}^{3} - 15 {x}^{2} - 27x[/tex]
if you translate the cubic parent function, F(x) down 2 units, what is the equation of the new parent function
Answer:
y=f(x)-2
Step-by-step explanation:
Which of these is equal to 0.13?
13
A.
99
12
B.
90
c. 1
Answer:
Is this the inter question
lcm of 6 and 13 what is it?
Answer:
78
Step-by-step explanation:
Since 13 is a prime, the least common multiple of it and 6 is their product. 6*13=78. Hope this helps!
Answer:
78
Step-by-step explanation:
Least Common Multiple of 6 and 13. Least common multiple (LCM) of 6 and 13 is 78.
6- 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78
13- 13, 26, 39, 52, 65, 78
Polygons QRST and Q’R’S’T’ are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6. What set of transformations is performed on QRST to form Q’R’S’T’? A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
the answer is D
Step-by-step explanation:
If you take wha it says and plug it in, it makes the most sense
Answer:
d
Step-by-step explanation:
PLEASE HELP!! The question is “ Abbey spends 5 hours less then triple the amount of time Emily spends on homework. Nathan spends twice as much time on homework as Abbey does. Write a simplified expression for the total number of hours the three friends spend on their homework. Show your work.”
Answer:
5(2x-3)
Step-by-step explanation:
Let the amount of time Emily spends on homework.=x (in hours)
Abbey's Time = 5 hours less than triple the amount of time Emily spends
Therefore:
Amount of Time spent by Abbey =3x-5Nathan's Time = Twice as much time as Abbey.
Amount of Time spent by Nathan =2(3x-5)Next, we calculate the total number of hours the three friends spend on their homework
=Time spent by Emily+Time spent by Abbey+Time spent by Nathan
=x+(3x-5)+2(3x-5)
=x+3x-5+6x-10
Collect like terms
=x+3x+6x-5-10
=10x-15
Next, we simplify by factorizing
Therefore, Total number of hours =5(2x-3)
Somebody please help me. I cant figure this out once so ever.
Answer:
A
Step-by-step explanation:
The Fibonacci sequence is the sum of the two terms before it. It looks like this:
1, 1, 2, 3, 5, 8, 13, 21, 34, ...
As you can see, 13 and 21 are indeed consecutive terms.
Using the following image, apply what you have learned about linear pairs and solve for
Which equations and/or functions represent the graphed line? Select three options.
4
.
..6
Х
1
Answer:
f(x) = 0.5x + 2
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
Step-by-step explanation:
In the figure attached, the graphed line is shown.
The missing options are:
f(x) = 0.2x - 4
f(x) = 0.5x + 2
f(x) = 1/2x + 2
y – 3 = 1/2(x – 2)
y – 1 = 0.5(x + 2)
From the picture, we can see that points (0, 2) and (2, 3) are on the line. Then, the slope of the line is:
m = (3 - 2)/(2 - 0) = 1/2 = 0.5
The y-intercept is (0, 2), or b = 2
Therefore, in the slope y-intercept form, the equation is:
f(x) = mx + b
f(x) = 1/2x + 2 = 0.5x + 2
In the point-slope form, the equations is:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 2)
Using point (-2, 1), in the point-slope form, the equation is:
y - y1 = m(x - x1)
y - 1 = 0.5(x + 2)
Answer:
bde
Step-by-step explanation:
Find the value of x in the question
Answer:
x=52
Step-by-step explanation:
r=90 s=34 q=180-(90+34)
180-(90+34)=56
to find angle sqr
180-56=124
124=x+72
52=x
Answer:
x = 52
Step-by-step explanation:
→We are given an exterior angle (outside of the triangle) as (x + 72). We are also given two interior angles as 34 and 90. The sum of the two farthest interior angles away from the exterior, is equal to the exterior. So this means that ∠R(90°) + ∠S(34°) = ∠PQS(x + 72), and we can set up the equation like that:
90 + 34 = x + 72
→Add like terms (90 and 34):
124 = x + 72
→Subtract 72 from both sides:
52 = x
find the value of APD angle.
Given that,
ABCD is a square.
AB =BP
will give the brainliest
Answer:
135
Step-by-step explanation:
angle APB is an alternate interior angle to DBC and line DB is supplementary
APD=180-45=135
8:38
Auto Advance
Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?
Answer:
$216
Step-by-step explanation:
14+20=24
24x9=216
In the circle, m BC = 94°. The diagram is not drawn to scale.
What is BCP
188
94
47
86
this is the diagram i need help too please
Answer:
47 deg
Step-by-step explanation:
Question #19- Use the answer bank below to fill in missing parts of the proof.
Given: PQPR
Prove: QR
P
R
Answer:
∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)
∠PQR ≅∠PRQ: Reason; CPCTC
Step-by-step explanation:
[tex]\overline{PQ}\cong \overline{PR}[/tex]: Reason; Given
Draw [tex]\overline{PM}[/tex] so that M is the midpoint of [tex]\overline{QR}[/tex]: Reason; Two points determine a line
[tex]\overline{QM}\cong \overline{RM}[/tex]: Reason; Definition of midpoint
[tex]\overline{PM}\cong \overline{PM}[/tex]: Reason; Reflexive property
ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency
∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC
∠PQR ≅∠PRQ: CPCTC
Board A: 3ft 9in Board B: 4ft 3in Board C: 2ft 6in
If he glues boards A and C together end to end, how long will the new board be?
Write the slope of DB
Answer: [tex]\frac{c - 0}{b-a}[/tex]
Casey has a litter of 5 puppies and 3 of them are gray. At this rate, how many puppies would be gray in a litter of 30 puppies?
Answer:
18 gray puppies
Step-by-step explanation:
Think of this as finding equivalent fractions/ratios. 3/5 puppies are gray. what over 30 puppies would be gray? to find 3/5=?/30, you multiply the numerator and denominator by 6. 3 times 6 is 18.
Please please help please thank you for the help please I need it !!!! WILL MARK AS BRAINLIEST!!! Please
Answer:
B
Step-by-step explanation:
Answer:
The answer would Be: B 6
Step-by-step explanation:
Find the median of both you and your friend’s basketball scores. Who’s score is greater? By how much?
Answer:
Find the number in the middle
First list the number from smallest to greatest
6,8,10,10,12,14,14,16,16,18,18,20,20,22
Find which one is in the middle
16 and 16 are the two middle numbers. There is two middle numbers because there is an even amount of numbers
If there are two middle numbers find the average
Do (X+Y) / 2
16+16 = 32
32 / 2 = 16
16 is the median for your score
Do the same to your friend's score
2,8,8,10,10,10,12,12,12,12,14,14,14,16,16
12 is the middle because there is 7 numbers to the left and right so 12 is the median.
Your score is greater by 4 because 16 - 12 = 4.
Hope this helps
Step-by-step explanation:
What has to be added to the sum of 4/7 and 7/4 to get 3?
Answer:
if you add 1 u get 3
Step-by-step explanation
Answer:
[tex]0.67858[/tex]
Step-by-step explanation:
[tex]\frac{4}{7}+\frac{7}{4}\\\mathrm{For}\:\frac{4}{7}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:4\\\frac{4}{7}=\frac{4\cdot \:4}{7\cdot \:4}=\frac{16}{28}\\\mathrm{For}\:\frac{7}{4}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:7\\\frac{7}{4}=\frac{7\cdot \:7}{4\cdot \:7}=\frac{49}{28}\\=\frac{16}{28}+\frac{49}{28}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{16+49}{28}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:16+49=65\\=\frac{65}{28}\\\mathrm{Decimal:\quad }\:2.32142\\3-2.32142=0.67858[/tex]
What scenario could be modeled by the graph below?
Answer:
It’s C
Step-by-step explanation:
Which two numbers doesStartRoot 61 EndRoot lie between on a number line? 7.7 and 7.8 7.8 and 7.9 7.9 and 8.0 8.0 and 8.1
Answer:
Answer is 7.8 and 7.9
Step-by-step explanation:
Answer:
the answer is B 7.8 to 7.9 have fun
Step-by-step explanation:
-7 -5(-4c+4) <-7c+8-3
Answer:
c < 32/27
Step-by-step explanation:
−7−5(−4c+4)<−7c+8−3
Step 1: Simplify both sides of the inequality.
20c−27<−7c+5
Step 2: Add 7c to both sides.
20c−27+7c<−7c+5+7c
27c−27<5
Step 3: Add 27 to both sides.
27c−27+27<5+27
27c<32
Step 4: Divide both sides by 27.
27c/27 < 32/27
c < 32/27
yall i really need help on this one :/ Mrs. Berry asked her real-estate agent, "What is the median value of homes in this neighborhood?"
Select from the drop-down menus to correctly complete the statement.
Mrs. Berry's question is a statistical question because there ____ variability in the values, and because data _____ to be collected to answer it.
for the first blank the options are is and is no. for the second blank the options are has and do not have.
non stat,does not varyStep-by-step explanation:
Lucas attends 8 classes each day. If each class is about
45 minutes long, about how long will Lucas have been
in school when he starts his fourth class of the day?
He will have 3 classes done before starting the fourth class.
3 classes x 45 minutes per class = 135 minutes.
1 hour = 60 minutes
134 minutes = 2 hours and 15 minutes.
Before the fourth class starts he was at school for 2 hours and 15 minutes
Choose the point on the terminal side of -45°.
a. (-3, -3)
b. (4, -4)
c. (5, 5)
d. (-2, 2)
Answer:
B
Step-by-step explanation:
Which expression is equivalent to (2x4y)^3
Answer:
Step-by-step explanation:
It is equivalent to 8x12y3.
Answer:
8x7y4
Step-by-step explanation:
NEED HELP! Consider circle C with diameter DE.
Which is the equation of circle C?
A.
(x − 2)2 + (y + 1)2 = 185
B.
(x − 2)2 + (y + 1)2 = 370
C.
(x − 2)2 + (y + 1)2 = 740
D.
(x + 9)2 + (y − 7)2 = 185
E.
(x + 9)2 + (y − 7)2 = 740
Step-by-step explanation:
The general form of an equation of a circle with center at (a, b) and radius r is given as:
(x - a)² + (y - b)² = r²
There is no images available to help decide which circle is the right choice... But with the knowledge of what a standard circle looks like, we can make the choice.
Answer is not b please help
Answer:
63
Step-by-step explanation:
This sum (from n = 1 to n =6 of 128(1/2)^n can be found in several ways. Since there are only a few numbers here to add together, we can just write out the given sum as
128(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64), or
64 + 32 + 16 + 8 + 4 + 2 + 1, which sums up to 63.
Definition of Complementary Angles
Answer:
Add to 90 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees or a right angle. For example,
52°+38°=90°
Therefore, 52 and 38 are complementary angles.
the cougars baseball team played 16 games last year and won 12 of them. this year they are scheduled to play 28 games. if the end up with the same winning percentage, how many games will they win
Answer:
They won 21 games
Step-by-step explanation:
First take the 12 out of 16 games they have won and make it a fraction, 12/16. Then divide 12 by 16, 12 ÷ 16 and then you get, 0.75 then as always multiply it by 100 and get 75 (you can also just move the decimal over 2 places) Then after that you smack that percentage sign on 75 and get %75. So now we know that the Cougars baseball team won %75 of there games. Now take 28 and put it as a fraction, but! You need two numbers for it to be a proper fraction to we will replace the numerator with W to represent how many games they won, so now you should have something like this W/28, so now we find the value of W and by doing that just guess and check (it cant be over 28 so it must be under 28) and when your looking for your number do W ÷ 28 and try to get 0.75 and when you get that (that being 21 ÷ 28 = 0.75 ) you now know that 21 is your answer.
Hope this helps but im in 6th so..... dont quote me on this some of the explanation might not be clear to you but it is to me hope you can figure it out