Answer:
A) -2/3
Step-by-step explanation:
To find the answer look at what it's asking you to do. (f/g) means to divide f(x) by g(x).
[tex](f/g)(x)=\frac{2x}{x^2+2}[/tex]
Now you need to find (f/g)(-1). Plug in -1 wherever there is an x and simplify.
[tex](f/g)(-1)=\frac{2*-1}{(-1)^2+2}\\ (f/g)(-1)=\frac{-2}{1+2}\\ (f/g)(-1)=\frac{-2}{3}[/tex]
Your answer is -2/3
2. Solve the following equation for c. (5 points)
-8(1 + 4c) + 7c = -25 - 80
C=
Answer:
c=1
Step-by-step explanation:
Simplify both sides of the equation first.
−8(1+4c)+7c=−25−8c
(−8)(1)+(−8)(4c)+7c=−25+−8c
−8+−32c+7c=−25+−8c
(−32c+7c)+(−8)=−8c−25
−25c+−8=−8c−25
−25c−8=−8c−25
Add 8 to both sides.
−17c−8+8=−25+8
−17c=−17
Divide both sides by -17.
-17c/-17 = -17/-17
c=1
Which of the following pairs of functions are inverses of each other?
you need an pic for an Answer:
Step-by-step explanation:
Jason enjoys watching the squirrels in his neighborhood park. They eat the red oak acorns. After the city removed 4 diseased red oak trees, the population of squirrels decreased from 105 to 98 in one year. If the population continues to decline at the same rate, how many squirrels will live in the park in 15 years? First, calculate the rate of decay by subtracting the two populations and dividing the difference by the initial population. Then, use the formula A=a0ekt
a. 0 squirrels
b. 95 squirrels
c 81 squirrels
d 34 squirrels
Answer:
0 squirrels
Step-by-step explanation:
If you subtract 98 from 105 then you get 7. That means that 7 squirrels will be lost per year. If you then multiply 7 by 15 (15 is the amount of years) then you get 105 and since there were 105 to start off with, there will be no squirrels left after 15 years.
Answer:
34 Squirrels
Step-by-step explanation:
7\ 105 ~0.07
A=Aoe^kt
A=98e^(-0.07•15)
A=98e^-.05
A=34.3~ 34 Squirrels
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming
these flowers rapidly increases as the trees blossom. The locust population gains 87% of its size every 2.4
days, and can be modeled by a function, L, which depends on the amount of time, t (in days).
Before the first day of spring, there were 1100 locusts in the population.
Write a function that models the locust population t days since the first day of spring.
L(t) =
Answer:
[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]
Step-by-step explanation:
The locust population grows according to an exponential model with the following general formula:
[tex]L(t) = L_0*(1+r)^{\frac{t}{T}}[/tex]
Where 'L0' is the initial locust population, 'r' is the increase rate after 'T' days, and 't' is the time passed, in days.
Applying the given data, the function that models the locust population t days since the first day of spring is:
[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]
An expression that equivalent to 12x + 8
Answer:
4(3x+2)
Step-by-step explanation:
Just factor the expression.
An equivalent expression is, 4 (3x + 2)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 12x + 8
Now, We can find an equivalent expression as;
⇒ 12x + 8
⇒ 4 × 3x + 4 × 2
⇒ 4 (3x + 2)
Thus, An equivalent expression is,
⇒ 4 (3x + 2)
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Find the equation of the line that is perpendicular to y = 1/4x – 2 and passes though the point (5, –2). A) y = –1/4x + 18 B) y = –1/4x – 22 C) y = –4x + 18 D) y = –4x – 22
Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
Which two numbers add to -22 and multiply to 121?
-11 and -11 are the two numbers that adds to -22 and multiply to 121
If we add 11 and 11 then it equals to -22.
if we multiply 11 and 11 then,it equals to 121
hope it helps...
Good luck on your assignment
Answer: Both numbers are -11.
Step-by-step explanation:
You can represent this using two equations, where the variables are x and y:
[tex]x + y = -22\\x * y = 121[/tex]
Then, solve the system using substitution by substituting y in the first equation into the second equation:
[tex]y = -22 - x\\ x * (-22 - x) = 121\\\\-x^2 - 22x - 121 = 0\\x^2 + 22x + 121 = 0\\[/tex]
Then, solve the quadratic equation by factoring it:
[tex](x+11)^2 = 0[/tex]
The only solution (or zero) to the equation is -11.
This means that both numbers are equal to -11.
-11 - 11 = -22
-11 * -11 = 121
13 - 5 5/6 in simplest form
Answer:
7 1/6
Step-by-step explanation:
13 - 5 5/6
Borrow 1 from the 13 in the form of 6/6
12 6/6 - 5 5/6
Subtract the whole numbers
12 -5 =7
Subtract the fractions
6/6-5/6 = 1/6
7 1/6
Evaluate 2x − 4 for x = 9. Evaluate −b + 8 for b = 3. Find the value of the expression 12x+3 if x = 12. For the equation y = 3x + 4, find the value of y if x = 2. The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours? Simplify each of the following expressions: 3(x + 2) + 4(x − 2) 2(x + y) − 3(x + y) −(y + 8) + 4(6 − y) 2(4x + 3) − 3(x + 1)
Answer:
Answers are below and bolded for you. Questions are underlined.
Step-by-step explanation:
Evaluate 2x − 4 for x = 9.
2×9-4=
18-4=
16
Evaluate −b + 8 for b = 3.
-3+8=
5
Find the value of the expression 12x+3 if x = 12.
12×12+3=
144+3=
147
For the equation y = 3x + 4, find the value of y if x = 2.
y=3×2+4
y=6+4
y=10
The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours?
If she works 4 hours, our equations is now:
$25+$10×4=
$25+$40=
$65
Simplify each of the following expressions:
3(x + 2) + 4(x − 2)=
3x+6+4x-8=
7x-2
2(x + y) − 3(x + y) −(y + 8) + 4(6 − y)=
2x+2y-3x+3y-y+8+24-y=
-x+2y+3y-y+8+24-y=
-x+4y+8+24-y=
-x+3y+32 or 32-x+3y
2(4x + 3) − 3(x + 1)=
8x+6-3x+3=
5x+9
What is the value of f(-12), if f(x) = 4x - 12?
a. -48
b. -36
c. -60
d. 36
Answer:
A. -48
Step-by-step explanation:
To find f(-12), we put -12 in for x and solve like shown:
[tex]f(-12)=(4)(-12)\\f(-12)=-48[/tex]
Answer:
a. -48
Step-by-step explanation:
.
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project?
h c
0 485
3 510
8 535
12 560
h c
0 510
3 535
8 560
12 585
h c
0 485
3 560
8 685
12 785
h c
0 510
3 585
8 710
12 810
Answer:
Third
Step-by-step explanation:
h c
0 485
3 560
8 685
12 785
The table that shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project is third table.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given that John paid $485 to build a deck.
And he will pay $25 per hour to his brother for building the deck.
one hour of work costs John $25 + $485 .
Total cost of building deck = $25 × h number of hours + $485
3 hour of work costs $25 × 3 = $75 + $485 = $560
8 hour of work costs = $25 × 8 = $200 + $485 = $685
12 hour of work costs = $25 × 12 = $300 + $485 = $785
Therefore, the third table suggests the total cost of work.
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raming Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°.
They are alternate interior angles. Angle A
measures 125°.
They are vertical angles. Angle A measures 125°
They are corresponding angles. Angle A measures
55°
Answer:
Step-by-step explanation:
I need a lil help, ANSWER QUICKLY!
Answer:
yes
Step-by-step explanation:
Counterclockwise is going left, so if you start at the top, 270 degrees left of a clock will result in the same as 90 degrees clockwise.
Answer:
Yes it will.
Step-by-step explanation:
Imagine a circle. A full rotation is 360 degrees. So, that means you're going to be 90 degrees froma full rotation. That means that if you back track 90 degrees you're going to get to the same spot as when you go clockwise 270 degrees. The best way to think of it is having the hands of a clock start at 12.
How many centimeters are there in 75 meters?
Answer:
7500. There are 100 centimeters in a meter therefore 75 meters have 7500 centimeters.
Description:
Using the formula Multiply the length value by 100 . We multiply the length by the hundred. In this case length is 75. Meaning 75 times 100 = the answer. The answer for this question is 7500.
Metre 75 = Centimetre 7500
Formula: Multiply the length value by 100
Answer: 7500
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Hope this helps.
A fungus is infecting trees in a state park. Each week, the number of trees infected with the fungus doubles. Five weeks after the fungus is discovered, park rangers determine that 1,280 trees are infected.
Answer:
Week 1: 80
Week 2: 160
Week 3: 320
Week 4: 640
Week 5: 1280
Step-by-step explanation:
Week 5 there are 1280 infected trees, the infection numbers double weekly. Divide week 5 (1280) by 2 and you find week 4 (640) divide that by 2 and you find week 3 (320) divide that by 2 and you find week 2 (160) divide that by 2 and you find the first week (80)
The Number of infected trees are:
Week 1: 80
Week 2: 160
Week 3: 320
Week 4: 640
Week 5: 1280
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
In week 5, 1280 trees were infected.
As, Each week, the number of trees infected with the fungus doubles.
In week 4:
Number of trees infected = 1280 / 2 = 640
In week 3:
Number of trees infected = 640/ 2 = 320
In week 2:
Number of trees infected = 320 / 2 = 160
In week 1:
Number of trees infected = 160/ 2 = 80
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GIVING OUT BRAINLIEST!! All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than $40$ pounds, and that the weight of a sack of flour is no more than $6$ pounds more than the weight of two sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?
Answer:
flour = 11.5, sugar has to be equal to 2.75 pounds.
Step-by-step explanation:
your 2 inequalities are:
2x + 3y <= 40
y <= 2x + 6
the second equation can be shown as:
-2x + y <= 6
solve the equality portion of these 2 inequalities.
those are the following equations:
2x + 3y = 40
-2x + y = 6
add these equations together and solve for y to get
y = 11.5
that appears to be a break even point.
when y = 11.5, the first inequality is solved as follows:
2x + 3y <= 40
replace y with 11.5 and the inequality becomes:
2x + 34.5 <= 40
solve for x to get
x <= 2.75
when y = 11.5, the second inequality is solved as follows:
-2x + y <= 6
replace y with 11.5 and the inequality becomes:
-2x + 11.5 <= 6
solve for x to get x >= 2.75
this indicates that, when y = 11.5, x has to be equal to 2.75.
both constraints are satisfied.
Answer:
Let each sack of sugar weigh $s$ pounds and each sack of flour weigh $f$ pounds. Then from the given information, $2s + 3f \le 40$ and $f \le 2s + 6.$ Also, $s > 0$ and $f > 0.$ We graph these the intersection of these inequalities below.(document attached
We see that the largest possible value of $f$ occurs at the points where the lines $2s + 3f = 40$ and $f = 2s + 6$ intersect. Solving for $f,$ we find $f = \boxed{\frac{23}{2}}.$
Step-by-step explanation:
How many edges and vertices does a prism
with a 100-sided end face have?
Answer:
300 edges and 200 vertices
Unit Test
Active
1
2
TIME REMAINING
01:21:05
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in
dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?
O c(x) = 5.50 + 20.50x
O c(x) = 5.50x + 20.50
Oc(x) = 5.50 +21.60x
O c(x) = 5.50x + 21.60
Answer: c the third option
Step-by-step explanation:
Answer:
Hope this helps!
Step-by-step explanation:
cost=flat fee+changing fee
flat fee=5.50
changing fee=cost per ticket times number of tickets
we know that 5 times cost per ticket=108
divide by 5
cost per ticket=21.6
c=number of tickets
total cost=5.5+21.6c
TC=21.6c+5.5
James went shopping for a new watch. The original price was $150. It was marked down to $110. What is the percent of decrease?
Answer:
26.7% is the percent of decrease
Step-by-step explanation:
$150=100% price (starting og price)
110 =? or x (discounted price)
We need to find what is the decrease from 150 to 110 in percentage
Use ratios to solve:
$150:100%
$110:x (unknown)
Cross multiply to find x
150 times x= 150x, and 100x110 = 11000
= 150x=11000
Lets get x all by itself to fully solve. We have to divide to get x by itself:
= 150x/150=11000/150 (divide 150 both sides always)
= 73.3,
Now we subtract 73.3 from 100 to get the decrease percentage
100-73.3=26.7 which is the percent of decrease
3 facts about quadrilaterals
Answer:
A 4 sided shape with. A 4 sided shape with 2 parallel sides.
all right angles are. all right angles are 90 degress.
All the angles add up to 360 degrees. All the angles add up to 360 degrees.
Step-by-step explanation:
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I really urgently need help if you have done this pls I beg you help me
Answer:
a) 34m/s
b) 42.5 m/5
Step-by-step explanation:
The average speed is the distance divided by the time. This is:
Vaverage = 1700m/50s=34 m/s
The value of K is, knowing that the area under the curve is 1700
k*30+k*20/2=1700
30k + 10k = 1700
40k=1700
k=42.5
Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second 150 miles of his trop than he did on the first 150 miles of his trip. How much time did he spend driving? Let x = his speed on the first half of the trip.
Answer:
total time = 250/x
Step-by-step explanation:
Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second half of the trip. The time he spent driving can be calculated as follows.
The first half of the trip
distance = 150 miles
time = ?
speed = x
speed = distance/time
time = distance/speed
time = 150/x
The second half of the trip
distance = 150 miles
time = ?
speed = 1.5x
time = distance/speed
time = 150/1.5x
Total time travelled = 150/x + 150/1.5x
total time = 150/x + 100/x =150 + 100 /x = 250/x
total time = 250/x
40 points. Can someone do this real quick and show work? I'm sorry I justcan't process it
Answer:
x = 6
Step-by-step explanation:
(3x-2)/4 +1 =5
subtract 1 from each side
(3x-2)/4 +1 -1 =5-1
(3x-2)/4 =4
Multiply each side by 4
(3x-2)/4 *4 = 4*4
3x-2 = 16
Add 2 to each side
3x-2+2 = 16+2
3x = 18
Divide each side by 3
3x/3= 18/3
x = 6
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
[tex] \frac{3x - 2}{4} + 1 = 5 \\ \frac{3x - 2}{4} = 5 - 1 \\ \frac{3x - 2}{4} = 4 \\ 4 \times \frac{3x - 2}{4} = 4 \times 4 \\ 3x - 2 = 16 \\ 3x = 16 + 2 \\ 3x = 18 \\ \frac{3x}{3} = \frac{18}{3} \\ x = 6[/tex]
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Solve for a.
ab + c = d.
Answer:
a = (d-c)/b
Step-by-step explanation:
ab + c = d
ab = d -c
a = (d-c)/b
Answer: a = d - c/b
Explanation: To get a by itself, we first subtract c from both sides.
So we have ab = d - c.
Now divide both sides by b to get a = d - c/b.
Find the value of c so that (x – 2) is a factor of the polynomial p(x).
p(x) = x3 – 4x² + 3x + c
Answer:2
Step-by-step explanation:
-5/12-3/4=
????
please answer
Answer:
-7/6
Step-by-step explanation:
You first have to find the common denominator, which in this case is 12. 3/4ths can be converted to 9/12ths. Then you subtract 9/12ths from -5/12, and get -14/12. Finally you simplify it and get -7/6.:)
PLEASE HELP! I HAVE A TIME CRUNCH! WILL MARK BRAINLIEST!! LOVE Y'ALL Fill in each * so that the statement is true.
a.) (x^2)^3=x^2·x*
b.) (x^3)*=x^5·x^7
c.) (x^2)*=x^4·x^22
d.) (x^2)^8=x^2·x*
e.) x^10/x^3 = x^20 · x*
f.) x^−3=x^4·x*
g.) 1/x^−3 =x^4·x*
Thank You!
Answer:
a, (x^2)^3 = x^6 = x^2.x^4
b, x^5·x^7 = x^12 = (x^3)^4
c, x^4·x^22 = x^26 = (x^2)^13
d, (x^2)^8 = x^16 = x^2.x^14
e, x^10/x^3 = x^7 = x^20.x^(-13)
f, x^(-3) = x^4.x^(-7)
g, 1/x^(-3) = x^3 = x^4.x^(-1)
Hope this helps!
:)
An automatic dog feeder in the shape of a cone has a height of 18 cm. if it holds about 8,308 cm of dog food, what is the radius rounded to the nearest cm?
Answer:
35.3
Step-by-step explanation:
Please!!!! Order the following from least to greatest!!!
Answer:
sqrt2<1.5<sqrt7<2.8
HELP ASAP I WILL GIVE YOU THE POINTS !!!
What is the value of x?
Answer:
80
Step-by-step explanation:
70 + 30 = 100
180 - 100 = 80
Answer:
[tex]x = 80 \: \: degrees[/tex]
Step-by-step explanation:
[tex]70 + 30 + x = 180 \\ 100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: \: degrees[/tex]
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