Answer:
3x²
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1
= 3x + 3x² - 3x ← collect like terms
= 3x²
Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?
Answer:
91 short stories
Step-by-step explanation:
You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and then stopped afterwards.
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
please help me solve this
(3/4)^2+1/8+1/4•3/2= ?
Answer:
This was a little tricky but the answer is 2 7/16
Step-by-step explanation:
15
16
+
3
2
=
15
16
+
3 × 8
2 × 8
=
15
16
+
24
16
=
15 + 24
16
=
39
16
=
2 7/16
PLEASE HELPP!!
Russell decides to make a tile pattern after the first day his pattern has 8 tiles after the fourth day it has 35 tiles how many tiles was pattern have after the fifth day?
Answer:
44
Step-by-step explanation:
n = pattern number
9n - 1 = number of tiles
Number 5 = 9n - 1
= 5 x 9 - 1
= 45 - 1
= 44
The pattern will have 54 tiles after the fifth day
How to determine how many tiles was pattern have after the fifth dayTo determine the pattern, let's find the difference between the number of tiles on consecutive days:
Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles
Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles
Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles
Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).
Now, let's use this difference to find the number of tiles after the fifth day:
Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles
Number of tiles after the fourth day: 35 tiles
Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles
So, the pattern will have 54 tiles after the fifth day.
Learn more about pattern at https://brainly.com/question/13628676
#SPJ3
What and why is the total amount 180 is it a triangle? Or something
Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answer:
yes
Step-by-step explanation:
the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)
pls help i’m bad at math asap
I need help please i reposted this question 2 times no one knows the answer.1
Answer:
12 Points
Step-by-step explanation:
3x(2-x)+2x(x-1)=5x(x+3)
Step-by-step explanation:
6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x
4x -x^2 = 5x^2 + 15x
-11x - 6x^2 = 0
-6x^2 - 11x = 0
use the quadratic formula
(-b±√(b²-4ac))/(2a)
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
~Simplify
-6x + 8 - x - 3
-7x + 5 = 33
~Subtract 3 to both sides
-7x = 28
~Divide -7 to both sides
x = -4
Best of Luck!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
solve the brackets first
-6x + 8 -x -3 = 33
-6x - x + 8 - 3 = 33
-7x + 5 = 33
-7x = 33-5
-7x = 28
x = 28/ -7
x = -4
A small bag of 12 tiny potatoes costs 8.78........ how much does one potato cost?
slope 1/6 , x-intercept at -1
Answer:
[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]
Step-by-step explanation:
[tex]y = mx + c[/tex]
m is slope
c is y intercept.
at x-intercept, y = 0
[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,
y = mx + c
0 = (1/6)(-1) + c
0 = -1/6 + c
c = 1/6
Now, the equation of the line can be written as,
y = (1/6)x + (1/6)
y = (x/6) + (1/6)
y = (x+1)/6
6y = x + 1
Hence, the equation of the given line is 6y=x+1.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
#SPJ2
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19
Find the value of x.
[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]
Name a pair of angles that are a linear pair
Choose the correct answer below.
A.
B.
C.
D.
Answer:
a but
Step-by-step explanation:
i think a
[tex]2 \times 3 + 45 \div 2 - 6 + 9[/tex]
Answer according to BODMAS
Answer: 31.5
Step-by-step explanation:
Answer: 31.5
Concept:
When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:
BracketOrderDivisionMultiplicationAdditionSubtractionSolve:
Given
2 × 3 + 45 ÷ 2 - 6 + 9
Simplify by division
=2 × 3 + 22.5 - 6 + 9
Simplify by multiplication
=6 + 22.5 - 6 + 9
Simplify by addition
=28.5 + 9 - 6
=37.5 - 6
Simplify by subtraction
=31.5
Hope this helps!! :)
Please let me know if you have any questions
Help me please look at the pictures
1. Reflection across the x-axis.
R(-2,2) ► R’
J(-1,4) ► J'
G(3,4) ► G’
reflection in the x axis
x,y=x-y
-2,2
2,-2
-1,4
1,-4
3,4
3,-4
Find f (2b^2) for (x)=x^2-4x
Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]f(x) = x^2 - 4x[/tex]
And we want to find:
[tex]\displaystyle f(2b^2)[/tex]
Substitute:
[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]
In conclusion, our answer is A.
7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population
0 91
1 70
2 54
3 42
4 32
A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77
Answer:
All I can say is that it isn't linear, as the number would then be the same every year
Answer:
B. exponential; y= 91 * 0.77x
Step-by-step explanation:
The Answer is A.
y=91*0.77^x
I just substituted the x on all of them and only one got the corrct y which is A.
7
If 8(x - 2y) = 16x, then what is x in terms of y?
Answer: y = -1/2x
8(x - 2y) = 16x
8x -16y = 16x
-16y = 16x-8x
-16y = 8x
-16y/-16= 8x/-16
y = -1/2x
Carson buys eggs and lemons at the store.
He pays a total of $39.62.
He pays $6.74 for the eggs.
He buys 8 bags of lemons that each cost the same amount.
Which equation could be used to determine xx, how much each bag of lemons costs?
Answer:
8x = 39.62 - 6.74
Step-by-step explanation:
Cost of 1 bag of lemons = $ x
Cost of 8 bags of lemons = 8 *x = 8x
Cost of 8 bags of lemons = Total cost - cost of the eggs
8x = 39.62 - 6.74
Answer:
3.
Step-by-step explanation:
[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]
What’s the figure please
Answer:
b
Step-by-step explanation:
it doesn't go to the y or x axis so B is it
i really need to find out how to find a,b, and c in the quadratic formula can u please help ASAP will mark as BRAINLIEST!!
Answer:
Brainliest, please! (Answer below)
Step-by-step explanation:
The basic form for any quadratic function is:
ax^2 + bx + c.
The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.
What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3
C.-3/4................
Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours
The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!
In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.
Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:
5x/12=1
please help this 2 sums
Answer:
Step-by-step explanation:
Sin (A + B) = Sin A *Cos B + Cos A *Sin B
Sin 75 = Sin (30 + 45)
= Sin 30 * Cos 45 + Cos 30 * Sin 45
[tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]
ANSWER NUMBER 3 ASAP PLS I HAVE SCHOOL IN AN HOUR WILL GIVE BRAINLY
Answer:The solution is in the attached file
Step-by-step explanation:
Find the area for a trapezoid 9.85 m 15 m 11 m 9 m
Answer:
total area = 99m² + 39.4m²
= 138.4m²
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.
Next, we want to figure out how much g(x) is a compression/stretch of x.
In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.
A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have
kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B
In the x direction, at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.
f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have
f(kx) = f(3x) = (3x)² = 9x² = B
