Answer:
f of g = 24x²+24x+1
Step-by-step explanation:
f(g(x)) = 6(2x-1)²-5
= 6(2x-1)(2x-1)-5
= 6(4x²+4x+1)-5
= 24x²+24x+6-5
= 24x²+24x+1
Answer:
12x3 − 6x2 − 10x + 5
Step-by-step explanation:
Let f(x) = 6x2 − 5 and g(x) = 2x − 1.
Find f · g. The domain is the set of all real numbers.
Use the multiplication operation.
(f · g)(x) = f(x) · g(x)
Substitute the given expressions for f(x) and g(x).
f · g = (6x2 − 5)(2x − 1)
Use the FOIL method.
= 12x3 − 6x2 − 10x + 5
Please help me for 15 points
Matthew invested $8,000 in an account paying an interest rate of 3 1/8% compounded
continuously. Parker invested $8,000 in an account paying an interest rate of 2 3/4%
compounded annually. To the nearest dollar, how much money would Parker have in
his account when Matthew's money has tripled in value?
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
We have,
For Matthew's investment, the continuous compounding formula can be used:
\(A = P \times e^{rt}\)
Where:
A = Final amount
P = Principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time (in years)
In this case,
Matthew's money has tripled,
So A = 3P.
For Parker's investment, the formula for compound interest compounded annually is used:
\(A = P \times (1 + r)^t\)
Where:
A = Final amount
P = Principal amount (initial investment)
r = Annual interest rate (in decimal form)
t = Time (in years)
We need to find t when Matthew's money has tripled in value.
Let's set up the equation:
\(3P = P \times e^{rt}\)
Dividing both sides by P, we get:
\(3 = e^{rt}\)
Taking the natural logarithm of both sides:
ln(3) = rt
Now we can solve for t
t = ln(3) / r
For Matthew's investment,
r = 3 1/8% = 3.125% = 0.03125 (as a decimal).
For Parker's investment,
r = 2 3/4% = 2.75% = 0.0275 (as a decimal).
Now we can calculate t for Matthew's investment:
t = ln(3) / 0.03125
Using a calculator, we find t ≈ 22.313 years.
Now, we can calculate how much money Parker would have in his account at that time:
\(A = P \times (1 + r)^t\)
\(A = $8,000 \times (1 + 0.0275)^{22.313}\)
Using a calculator, we find A ≈ $13,774.
Therefore,
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
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Answer:
20,763
Step-by-step explanation:
I saw the answer after I got it wrong
* C is twice as close to A as it is to B (there is more than one
answer)
Answer:
Angle at the center is two times the angle at circumferance
a farmer uses 1/6 of his land to plant pineapples, 5/9 to plant durians and the remaining 48.5 acres to plant vegetables. calculate the area of land used to plant pineapples and durians
Step-by-step explanation:
x = total area of land
x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6
6x - x - 30/9 × x = 291
5x - 30/9 × x = 291 | multitude both sides by 9
45x - 30x = 2,619
15x = 2,619
x = 174.6 acres
pineapples were planted on 174.6 × 1/6 = 29.1 acres.
durians were planted on 174.6 × 5/9 = 97 acres.
10. Nicholas has a pet rat that weighs 1.635 kilograms. About how much does it welgh, rounded to the nearest tenth?
2 kilograms
O 1.64 kilograms
O 1.7 kilograms
1.6 kilograms
PREVIOUS
10 of 20
Step-by-step explanation:
nearest tenth means see 100th place
answer is 1.6 kg
Answer:
2 Kg
Step-by-step explanation:
This is because 1.635 rounds to 1.64 which rounds to 1.6 and finally 6 is closer to 10 than 0 so the final answer is 2 kg.
I hope I helped! Brainliest is always appreciated :))
how many minutes does it take to 9.5 miles
Answer:
It depends on ur speed.
Step-by-step explanation:
Answer: 106.4 minutes
Step-by-step explanation:
1. If the rate is 1 mile for 11.2 minutes, multiply the rate of the minutes to the miles to find the new sum.
2. 11.2 x 9.5 = 106.4
Trent knows that 1 pint equals 16 fluid ounces. His punch recipe calls for 3 pints of pineapple juice.
How many fluid ounces of pineapple juice does Trent need?
A.
3 ounces
B.
16 ounces
C.
32 ounces
D.
48 ounces
Answer: 48 fluid ounces
Step-by-step explanation:
Step 1: Since 1 pint is equal to 16 fluid ounces, we can multiply 3 pints by 16 fluid ounces.
Step 2: 3 pints × 16 fluid ounces = 48 fluid ounces
Answer: Trent needs 48 fluid ounces of pineapple juice.
Answer:
D
Step-by-step explanation:
1 pint = 16 fluid ounces
3 pints = 3(16) fluid ounces
3 pints = 48 fluid ounces
Pls answer correctly I’ll give you brainliest
Answer:
y=-1x+-3
Step-by-step explanation:
the votes for Tigers outnumbered the votes for Lions by a ratio of 240 to 160. Describe the meaning of the statement and identify if its part to part or part to whole ratio
The ratio of 240 to 160 is part to part ratio.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The votes for Tigers outnumbered the votes for Lions by a ratio of 240 to 160.
⇒ 240 : 160.
Now,
We know that,
The ratio of part to part will be two different objects.
And, The ratio of part to whole will be the ratio of object to whole object.
Here, The ratio is given as;
⇒ 240 to 160.
⇒ 240 : 160
And, 240 > 160
So, The ratio is part to part ratio.
Thus, The ratio of 240 to 160 is part to part ratio.
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Pythagorean triples are given by these formulas:
(2²-37, 2zy, z²+37²)
The hypotenuse of a right triangle is 29. The lengths of the legs are whole numbers. List your answers in increasing
order.
The lengths of the two legs are
and
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
We have,
The formula given is incorrect.
The correct formula for Pythagorean triples with a given integer z is:
(z² - 1², 2z, z² + 1²)
Using this formula, we can find the two legs of the right triangle with hypotenuse 29 as follows:
z² + 1² = 29²
z² + 1 = 29²
z² = 29² - 1
z² = 840
z = √840
z = 28.98
Since z must be an integer, we can try integer values close to 28.98 to find one that works.
Trying z = 29,
a = z² - 1² = 840 - 1 = 839
b = 2z = 58
c = z² + 1² = 840 + 1 = 841
Therefore,
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
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is 1 5/6 a rational number or a iraarational
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
Nathan drove 234 miles in 6 hours. On average how fast did he drive in miles per hour?
Answer:
To find the average speed in miles per hour, we need to divide the total distance by the time taken:
Average speed = Total distance / Time taken
Average speed = 234 miles / 6 hours
Average speed = 39 miles per hour
Therefore, Nathan's average speed was 39 miles per hour.
Step-by-step explanation:
Answer:
Nathan drove an average of 39mph
Step-by-step explanation:
r=d/t
rate=234/6
234+6=240
240/6=40
Because we added a six, we need to subtract one:
40-1=39
Nathan drove an average of 39mph
Use the Associative Property to write an expression equivalent to(4x + y) + 8
4 divided by 1/5 plzzzz helppppppppppppppppppppppppp
Answer:
the answer is 20
Step-by-step explanation:
Answer:
Your answer is: 20
One of two or more expressions that are multiplied together to get a product.
Factor the numerator and denominator and cancel the common factors.
Step-by-step explanation:
Hope this helped : )
Find outer perimeter
-2/3-(-1/2)
Please help
Answer:
the answer might be -⅓ because-⅔-(½) answer is -⅓
Find the inequality represented by the graph.
Answer:
y < 4x + 3
Step-by-step explanation:
First find the equation represented by the graph...
using slope-intercept (y = mx + b where m = the slope and b = the y- intercept)
slope is 4
y- intercept is 3
Once you have the equation 4x + 3, determine whether y is greater than or equal to the point plotted.
I can explain more if you need but trust me the answer is y < 4x + 3
The inequality represented by the graph is y <1/4x + 3.
From the graph, the line of inequality cut the y axis at 3.
So, the y intercept is (0, 3).
and, the slope of the inequality is
= 1/4
Using slope-intercept form
y= mx+ b
y= 1/4x + 3
Since the inequality have the shaded area below the line to represent all the points that satisfy the inequality.
and, the inequality can be written as
y < 1/4x + 3
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3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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If 50% of the students in your class are men and 20% of the men have blond hair, which of the following describes the percentage of students in your class who are men with blond hair?
Answer:
10%
Step-by-step explanation:
10% of the Male students have blonde hair
A carpenter has $91 to buy wood. If each piece of wood costs $3, how many pieces can the carpenter buy?
Answer:
30 pieces----------------------------
Divide the total amount by the cost per piece:
$91 ÷ $3 = 30.3333Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.
Directions: Select the correct answer from each drop-down menu. Consider the expression below. 12x - 6x + 5 + 4x
If the expression is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 7, then there would be solution(s).
If the expression is set equal to -10x + 5, then there would be solution(s).
Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
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plsplsplspls answer this ):
Answer:
f(x)=x
Step-by-step explanation:
if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!
I really think it’s B ...Help?
Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
1
⇒ -4
f(−4) =
2
⇒ -2
f(f−1(−2)) =
2
⇒ -2
In general, f−1(f(x)) = f(f−1(x)) =
Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :
f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2
f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2
Given a function,
f(x) = 1/2 x
And an inverse function,
f⁻¹(x) = 2x
We have to find the values of the following.
f(2) = 1/2 × 2 = 1
f⁻¹(1) = 2 × 1 = 2
f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2
f⁻¹(-2) = 2 × -2 = -4
f(-4) = 1/2 × 4 = -2
f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2
So, in general, f⁻¹(f(x)) = f(f⁻¹(x))
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BRAINZLIEST
150 is 25% ofwhat number? Four atudents solved this problem using equivalent ratios. Choose the student whose
work is 0orrect
Liam's work
Yasmin's work
Bill's work
Isabella's work
part
whole
25x6 150
150 x 6 900
part
whole
100- 5
part
whole
part
whole
25 x6
150
20
5
150+6
100+6
25
16.67
100 x6 600
25+5
Answer:
liam
Step-by-step explanation:
We have, 25% × x = 150
or,
25
100
× x = 150
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 150 ×
100
25
x = 600
If you are using a calculator, simply enter 150×100÷25, which will give you the answer.
Answer:
liam is correct
Step-by-step explanation:
(6x-5) -(3x-2)
Can someone please help me with this question?
I believe it's -2, I'm not quite sure. Look it up before you take my opinion into consideration, though.
Answer:
hello there
Explanation:
hope it help
mark me as brainliest
QUESTIONS
WHALE CAN FLY FASTER THAN A
CROW?
TRUE
FALSE
Answer: False
Step-by-step explanation: A whale can't fly
Answer:
False
Step-by-step explanation:
Because a whale cannot fly
What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.
Answer:
47.1cm²
Step-by-step explanation:
diameter=15cm
circumference of circle= d×3.14
circumference=15×3.14
circumference=47.1
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
4
Number of Years
m
N
1
16
18
18°
19°
22°
30°
20
Mark this and return
28
22
24
26
Average Daily Temperature
30
The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one
standard deviation of the mean?
32
Save and Exit
Next
Submit
The temperature of 30° is within one standard deviation of the mean.
To determine which temperature is within one standard deviation of the mean, we need to consider the range that falls within one standard deviation above and below the mean.
Given that the mean temperature is 24° with a standard deviation of 4°, one standard deviation above the mean would be 24° + 4° = 28°, and one standard deviation below the mean would be 24° - 4° = 20°.
Looking at the temperatures in the chart, we can see that the temperature of 30° is within one standard deviation of the mean. It falls within the range of 28° (one standard deviation above the mean) and 20° (one standard deviation below the mean).
Therefore, the temperature of 30° is within one standard deviation of the mean.
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