The product of the function is 2x^2+ 5x - 3
We are to find the product of the functions x + 3 and 2x -1
let f(x) = x+ 3g(x) = 2x - 1Taking the product:
f(x)g(x) = (x+3)(2x -1)
f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)
f(x)g(x) = 2x^2 - x + 6x - 3
f(x)g(x) = 2x^2+ 5x - 3
Hence the product of the function is 2x^2+ 5x - 3
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Answer:
c
Step-by-step explanation:
Write an equation for a line if m
3 and it passes through the point (1, -5).
if 2-5 = -4 then x =
please answer
Answer:
1
Step-by-step explanation:
2-5=x-4
subtract the common factors
-3 = x-4
add 4 to both sides so get x by itself
1 = x
Help please and thank you.
Answer:
b
Step-by-step explanation:
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
The population model is most sufficient for 2005 because 2005 is the closest to 2000
The population function is given as:
[tex]P(x) = 10550(1.1)^x[/tex]
From the question, we understand that the population model is for years after 2000.
This means that the model cannot be used for the year 1950; because 1950 is before 2000.
The model can be used for years 2005, 2025 and 2050.
However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time
Read more about population functions at:
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Answer:
B!
Step-by-step explanation:
Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?
ANSWER SOON
Divide the amount of savings by the percentage off:
12/0.30 = 40
The regular price was $40
What's the area of a triangle and circle?
Answer:
Formula?
Step-by-step explanation:
Triangle = Area = 1/2bh
circle = Area = pi x r^2
Hope it helps
What is the percent increase of 24 to 32?
Answer:
8%???????????????????????
I will show you how calculate the Percent Change from 24 to 32.
Basically, we are trying to find the change from 24 to 32 in terms of percent. We do this in three steps:
1) Find the difference between 24 and 32 as a number.
2) Divide the result from Step 1 by the starting number 24.
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
The three steps above can be made into a formula. So, to find the percent change from 24 to 32, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 24, and Y is the ending number 32 that it changed to. When we enter these numbers into the formula, we get:
((32-24)/24)*100 = 33.33%
So, the answer to the question "What is the Percent Change from 24 to 32?" is:
33.33%
Note: All percent answers are rounded to the nearest two decimals if necessary.
-ㄚㄩ尺丨
how do i do this?? i really need help !!
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15 +2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.
The 25 destinations in France are represented by a sector that is ...
25 × 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 × 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 × 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 × 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
__
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15+2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.
The 25 destinations in France are represented by a sector that is ...
25 x 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 x 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 x 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 x 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
The cost of a bottle of water is (w – 1) cents.
The cost of a bottle of milk is (2w – 11) cents.
A certain number of bottles of water costs $4.80.
The same number of bottles of milk costs $7.80 .
Find the value of w
Answer:
w= 25
Step-by-step explanation:
Cost of water= (w -1)¢
Cost of milk= (2w -11)¢
Let the certain number be x.
x(w -1)¢= 480¢ -----(1)
x(2w -11)¢= 780¢ -----(2)
From (1):
wx -x= 480 -----(3)
From (2):
2wx -11x= 780 -----(4)
(3) ×2:
2wx -2x= 960 -----(5)
(5) -(4):
(2wx -2x) -(2wx -11x)= 960 -780
Expand:
2wx -2x -2wx +11x= 180
9x= 180
Divide both sides by 9:
x= 180 ÷9
x= 20
Substitute x= 20 into (3):
w(20) -20= 480
20w -20= 480
20w= 480 +20
20w= 500
w= 500 ÷20
w= 25
3a-1 over 8=a+9 over 4
Answer:
1800 stanley steamer
Step-by-step explanation:
Julian opened a college savings account. The amount of money in his account can be calculated using the function C(t) = 500(1.03)t, where t represents the time in years since the initial deposit. What does the value 500 represent in the function?
a
The amount of money in Julian's account after one year
b
The amount of interest Julian will earn each year
c
The amount of money for Julian's initial deposit
d
The maximum amount of money Julian can earn in his account
Answer:
C
Step-by-step explanation:
The value 500 represent the option C. The amount of money for Julian's initial deposit.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that, Julian opened a college savings account.
The amount of money in his account can be calculated using the function,
C(t) = 500 (1.03)^t.
Here t is the time in years since the initial deposit.
When t = 0,
C(0) = 500 (1.03)^0
= 500 × 1 (since any number x⁰ = 1)
= 500
So the deposit at t = 0 means the initial deposit.
So 500 is the initial deposit.
Hence 500 represents the initial deposit amount.
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Need helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
y=2x+10
Step-by-step explanation:
the picture has the answer
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
16. If a triangle has two side lengths of 8 inches and 23 inches, describe the possible lengths for the third
side?
Answer:
24
Step-by-step explanation:
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Step-by-step explanation:
the volume of a prism is
length × width × height
so, for the small prism we have
5 × 4 × height = 100 in³
height = 100/20 = 5 in
for the large prism we have
5 × 4 × height = 200 in³
height = 200/20 = 10 in
the larger prism is 10/5=2 times taller than the small prism.
can i have some help :
Answer:
b<11=board is shorter then
b>11=more then 11 books
b<12=fewer then 12
b>12=taller then 12
Hope This Helps!!!
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answer:
15 3/4 = (15*4 + 3)/4 = 63/4
5*(63/4) = 78.74 OR 78 3/4
The change in the total number of bushels is 78 3/4 bushels.
0.081 to simplest form
81/1000
hope this helps!
What is 100 x (81 + 283) - 67 x 4
Answer: 36132
Step-by-step explanation:
81+283=364
100*364=36400
67*4=268
36400-268=36132
Answer:
Step-by-step explanation:
100*(81+283)-67*5
=36400-268
=36132
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answer: point E
Step-by-step explanation:
simplify 3q+3q+4q²
Explanation and working out please
Answer:
6q+4q²
Step-by-step explanation:
3q+3q+4q²
All you have to do is combine like terms(CLT)
3q+3q=6q
You can't combine 6q and 4q².
The end result is 6q+4q².
-hope it helps
Answer:
2q(2q+3)
Step-by-step explanation:
a computer artist created a rectangular image measuring 55 125 scale factor of 2.5 what are the dimensions of the dilated image? quick!!
Answer:
sex
Step-by-step explanation:
69
1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)
Answer:
1. 6 x 16 = 96
2. 10 + 4 x 22 = 10 + 88 = 98
3. 7 x 23 = 161
Step-by-step explanation:
Fred has 32 ounces of cookie dough. If he used 0.56 ounces of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?
Answer:
57 cookies
Step-by-step explanation:
32/0.56= 57.14
Evaluate the expression for x = 2 and y = 4.
Answer:
Not enough info
Step-by-step explanation:
Not enough info sry
Solve the system of equations.
4х – 3y = 12
3х + 6у = 42
Answer: B. (6,4)
Find x for the 2nd equation
3x + 6y = 42
3x = 42-6y
x= (42-6y) / 3
Place the value of x in the first equation and find for y then.
4x - 3y= 12
4{(42-6y)/3} - 3y = 12
So the answer for y is 4
Now, you know the value of y is 4.
4x - 3*4 = 12
4x - 12 = 12
x= 12+12 /4
x= 6
So x is 6 and y is 4. So the answer is B.
Which function has a more negative slope?
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
__
The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.
.can you help please
Answer:
38.81cm³
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Diameter is 4.2
radius= 4.2/2 = 2.1 or 21/10
4/3 × 22/7 × 21/10 × 21/10 × 21/10
= 4851/125
= 38.808
≈38.81cm³
Ali is x years old Ali’s aunt is four times as old as Ali will be in 5 years Find the present age of Ali’s aunt
Answer:
Ali= x + 5
Aunt= 4x