If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it
Answer:
[tex](f-g)(x)=2x-3[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
By substitution:
[tex]=(3x-1)-(x+2)[/tex]
Simplify. Distribute:
[tex]=(3x-1)+(-x-2)[/tex]
Rearrange:
[tex]=(3x-x)+(-1-2)[/tex]
Therefore:
[tex](f-g)(x)=2x-3[/tex]
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
What is the area of the region bounded by the lines x= 1 and y= 0 and the curve y=xe^x^2?
Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer: 52
Step-by-step explanation: Friend me and yes that is right!
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Is 9/16 a terminating or repeating decimal plz ASAP brainley
Answer:
terminating.
Step-by-step explanation:
9/16 converted to a decimal is .5625 which is terminating
In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?
Answer: the peaches were a lighter shade of orange
Find the value of x.
4x + 5
2x + 21, smby help me wit dis pls
Answer: x = 8
Step-by-step explanation:
4x + 5 = 2x + 21
4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)
2x + 5 = 21
2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)
2x = 16
2x/2 = 16/2 (Divide both sides by 2)
x = 8
4) Which formulas can be used to find the area of a parallelogram and a
square? There are two possible answers. Check one.
10 pa
O A = b x h
A = 2L + 2W
A = L + L + W + W
A = bh
Answer:
O A = Bx H and A = L + L + W + W.
Step-by-step explanation:
(-30i) +(52-30i) express your answer in the form (a+bi)
Step-by-step explanation:
-30i + 52 - 30i
= 52 - 60i.
Here a is 52 and b is -60.
Please I need help like now
Answer:
it's is d
Step-by-step explanation:
seening this info
for every 2/3 of cold water there is 1/2 of vegetable Oil
to make this answer complte if if we add a another cup of water the amount that is requared and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3
Hence 4/3 or D is right
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
48 is 16 2/3% of what number?
Answer:
288
Step-by-step explanation:
I hope this helps <3
Solve the inequality
Answer:
x ≥ -64
Step-by-step explanation:
"3/4ths of a number is greater than or equal to -48"
3/4 of a number ≥ -48
Let's say the number is x.
(3/4)x ≥ -48
Multiply both sides by 4.
3x ≥ -192
Divide both sides by 3.
x ≥ -64
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Answer:
B
Step-by-step explanation: i took the test on docs/forms
Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes
Answer:
Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour
As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches
Step-by-step explanation:
I hope this helps and I’m not to late.
Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain
x+2+2x+1+x-6= 45 what is X?
12
60
15
16
SOLVE QUICKLY I WILL GIVE BRAINIEST!!!
Find the missing values of the variables. The diagram is not to scale. Show steps
Step-by-step explanation:
i assume this is the question you asked me to look at.
Well, angle 116° and y are supplementary angles
therefore,116°+y=180°
y=180°-116°=64°
Now to find x
x+y+125+72=360°
x+64+125+72=360
x+261=360
x=360-261=99°
The measure of x° is 99° and the measure of y° is 64°.
What is quadrilateral?
A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
From the given figure,
116°+y°=180° (Sum of adjacent angles is 180°)
y°=180°-116°
y°=64°
Sum of interior angles of quadrilateral is 360°.
Here, x°+y°+72°+125°=360°
x°+64°+72°+125°=360°
x°+261°=360°
x°=99°
Therefore, the measure of x° is 99° and the measure of y° is 64°.
Learn more about the quadrilaterals here:
https://brainly.com/question/29934440.
#SPJ2
FinWhat is the perimeter of the triangle in the graph? Round your answer to the nearest tenth if necessary. (1 point) 8.9 8.0 12.9 8.5d the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)
Answer:
man did you ever find out the answer bc I'm dying I cannot fail this test-
Answer:
12.9
Step-by-step explanation:
it is common sense
also i just took test
Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.
Answer:
y = 49
x = 15
Step-by-step explanation:
The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49
(7x + 13) + (2x - 9) + 41 = 180
add like terms - 9x + 45 = 180
subtract - 9x = 135
Divide - x = 15
Is this a positive trend or negative trend or no trend please help
Answer:
negative trend because the values are decreasing
Look at the following expression. Which operation should be done first?
23 – 5 × 4 + 32 (a small 2 next to the 3)
1.) 5 × 4
2.) 32 (small 2)
3.) 4 + 3
4.) 23 – 5
Answer
2.
Step-by-step explanation:
n − 32 5 = 10 help plz
Answer:
n=335
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
n − 325 = 10 equation
Step 2
n − 325 = 10 simplify by adding 325 to both sides
Answer
n=335
Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8
Answer:
x < 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x + 25 < 33
Step 2: Solve for x
Subtract 25 on both sides: x < 8Here we see that any value x smaller than 8 would work as a solution to the inequality.
Please help ASAP!!!!!!!!!
______________________________
1.) Plug our numbers into the formula:[tex]B[/tex] × [tex]H[/tex][tex]6[/tex] × [tex]4=24[/tex]______________________________
Part A : At Mountain Park Middle school, there are 250 seventh-grade students who are not in advanced math. Let a represent the number of seventh-grade students who are not in advanced math?
Part B: How many students are NOT in advanced math?
Answer:
hard to explain
Step-by-step explanation:
Answer:I think 80 at bottom like
Step-by-step explanation:
What equation is a proportion?
7/9 = 21=28
1/3 = 1/4
5/8 = 20/32
3/4 = 6/9
Answer:
5/8=20/32
Step-by-step explanation:
Can some one help me please
Answer:
B
Step-by-step explanation:
x+2+10 is 13 which is the beginning of the perimeter