Answer:
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Step-by-step explanation:
Given functions are:
[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]
We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)
So,
[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]
Combining alike terms
[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]
Now it was given that:
f(x)- g(x)= ax^3+bx^2+ cx+d
By comparing both we get
a = 3, b = -12, c = -5, d = 10
Hence,
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2
Answer:
x^2 + 7/2 + 15 is the answer.
Step-by-step explanation:
Make the number that is equal to x be on the side of the x, then multiply those to values.
x = -6
x= 5/2
(x + 6)*(x - 5/2)
Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.
[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]
#teamtrees #WAP (Water And Plant)
Tom has $5.05 in quarters and dimes. How many coins are quarters if the total
number of coins is 28? Try creating a system of equations and solving this by either
substitution or elimination.
quarters
Help due by 8 am tm
Answer: The answer would be 7.03
Step-by-step explanation: cause you gotta get the 28 in there i hope im right
Answer:
15 quarters
Step-by-step explanation:
Assuming q = quarters and d = dimes...
First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.
q + d = 28
.25q + .10d = 5.05
Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.
q + d = 28
4(.25q + .10d) = 4(5.05)
After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6
q + d = 28
q + .4d = 20.20
Divide both sides by .6 to get d by itself.
.6d = 7.8
There are 13 dimes.
d = 13
Subtract 13 from the total coins (28) to get the amount of quarters.
28 - 13 = 15
13 dimes, 15 quarters. Hope this helped!
(HELP ME PLEASE) In a triangle that two of its sides are worth 8 cm and 10 cm, the possible values of the third side are:
Answer:
I'm not sure....
10-8 = 2
lowest point
10+8 = 18
highest point
so the possible values of the third side are:-
3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
I'm not sure this is what you are looking for but this is my answer....
i hope this helps...
have a great day ahead :)
Write the equation of the line that passes through the
point (6,4) and is parallel to 2x + 3y = 18.
The equation of the line that passes through the point (6,4) and is parallel to 2x + 3y = 18 is: y = -2/3x + 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that line passes throuthe gh the point (6,4) and is parallel to 2x + 3y = 18.
Parallel lines have the same slope
To Find slope of 2x + 3y = 18
Then Start by putting it in y = mx+b form;
Y = -2/3x + 18
Slope = -2/3x
Y = -2/3x + b
Now Plug in the points into equation
4 = -2/3(6) + b
4 = -4 + b
b = 8
Hence, the Equation: y = -2/3x + 8
Learn more about equations here;
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What is the range of the function graphed below?
What graph represents the equation y = -1/2x + 1?
Answer:
The answer to your question is A.
Step-by-step explanation:
96.90+2.04-24.30 Round your answer to the nearest second decimal
Answer:
74.64
Step-by-step explanation:
hope this helps :)
Answer:
74.60
Step-by-step explanation:
Hope this helps!
Every term is
a constant
a variable
an expression
A. -2
B. -1/2
C. 1/2
D. 2
I need the answer please!!!!!!!
Solve: -2(x+4)-1=3(x-2)+4
Answer: x= -7/5 procedure: -2x-8-1=3x-6+4 -2x-9=3x-2 -2x-3x= -2+9 -5x= 7 answer: x= -7/5
Write this ratio as a fraction in simplest form
140 centimeters to 300 centimeters
Answer choices:
A. 14/30
B. 4/7
C. 1/3
D. 7/15
Answer:
D
140/300 simplifies to 14/30 and that can be simplified even more to 7/15
I need the answer for all but the last one.
Answer:
2. 7 + 4
3. 21 - 27
4. 8 - 28
Step-by-step explanation:
2. 1 (7+4) = 1×7 + 1×4 = 7 + 4
3. 3 (7-9) = 3×7 - 3×9 = 21 - 27
4. 4 (2-7) = 4×2 - 4×7 = 8 - 28
hope this helps :)
Answer:
1. the answer is 7+4
2. the answer is 21-9.
3. the answer is 8-7.
Hope this helps, have a great day/night, and stay safe!
2x4^7=
What is 2x4^7
Example: 2x5^7=2x=78,125
Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (1 -3) school (-1, 2) library (3, 2)
Answer:
9.385 km
Step-by-step explanation:
Given the points :
home (1 -3) school (-1, 2) library (3, 2)
Distance between Home and school :
Distance = √(x2 - x1)² + (y2 - y1)²
Home = (1, - 3) ; School = (-1, 2)
x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2
Distance = √(-1 - 1)² + (2 - (-3))²
Distance = √-2² + 5²
Distance = √4 + 25
= 5.385 km
From school to library :
School = (-1, 2) ; library (3, 2)
x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2
Distance = √(x2 - x1)² + (y2 - y1)²
Distance = √(3 - (-1))² + (2 - 2)²
Distance = √4² + 0²
Distance = √16 + 0
Distance = √16
Distance = 4 km
Total distance in kilometers from home to library :
(5.385 + 4) km = 9.385km
Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far?
A. The percent increase is approximately 31%.
B. The percent increase is approximately 45%.
C. The percent increase is approximately 68%.
D. The percent increase is approximately 82%.
Answer:
C
Step-by-step explanation:
If you find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.
What is the value of x?
Answer:
x = 5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 16²
x² + 81 = 256 ( subtract 81 from both sides )
x² = 175 ( take the square root of both sides )
x = [tex]\sqrt{175}[/tex] = 5[tex]\sqrt{7}[/tex] ≈ 13.23 units ( to 2 dec. places )
Answer:
x = 5√7
Step-by-step explanation:
By pythagoras theorem,
(hypotenuse)² = (altitude)² + (base)²
(hyp)² - (base)² = (alt)²
(16)² - (9)² = x²
256 - 81 = x²
x² = 175
x = √175
x = 5√7
hope this helps you!
Please help!!!!!!!!!
Answer:
8/125
Step-by-step explanation:
Help me please I will give you the brainliest please ;( :[
Answer:
I'm not great with domain and range but for the 4th question the answer is b. and for the 5th part 1 the answer is a. and for part 2 the answer is d. i believe
At a basketball game 64% were supporting the visiting team. If total number of people attending h the e game was 2000, how many people were supporters of the home team
Answer:
720
Step-by-step explanation:
0.64 x 2000 = 1280
2000 - 1280 = 720
No. of people supporting the home team out of 2000 people is 720.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, At a basketball game, 64% were supporting the visiting team.
The percentage of people supporting the home team is
(100 - 64)% = 36%.
Now, Total number of people who came to watch is 2000.
∴ No. people supporting the home team is,
= (36/100)×2000.
= 36×20.
= 720 people.
learn more about percentages here :
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Why is the product of negative reciprocals always -1?
Answer:
please check the explanation.
Step-by-step explanation:
Let suppose we have a number = n
n≠0The negative reciprocal of 'n' = -1/n
Taking the product of 'n' and its negative reciprocal '-1/n':
[tex]n\left(-\frac{1}{n}\right)[/tex]
remove parentheses: (-a) = -a
[tex]=-n\frac{1}{n}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=-\frac{1\times \:n}{n}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:n[/tex]
[tex]=-1[/tex]
Canceling the common factor (the number itself) will bring -1.
It proves that the multiplication of any number and its negative reciprocal will always yield -1.
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water w (in gallons) in the pool after t minutes is given by the function w = 45,000 - 100t. Graph the function. Identify its domain and range. How much water is in the pool after 60 minutes? How many minutes will it take to empty the pool?
Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool
Step-by-step explanation:
You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,
Ps can I get the brainliest answer
We want to get the domain and range, graph, and analyze the given function.
We have the function:
w(t) = 45,000 - 100*t.
First, we want to get the domain and range of the function.
The domain is defined as the possible values of the input, in this case, is the time.
The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:
w(t) = 0 = 45,000 - 100*t
t = 45,000/100 = 450
Then the domain is D = [0, 450]
The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:
R = [0, 45,000]
The graph of the function can be seen below.
How much water is in the pool after 60 minutes?
Just replace t by 60 in the equation.
w(60) = 45,000 - 100*60 = 39,000
This is 39,000 gallons of water.
How many minutes will it take to empty the pool?
We already found that it takes 450 minutes.
If you want to learn more, you can read:
https://brainly.com/question/2263981
Solve for x and then find the measure of angle, A.
Answer:
x = 8
The measure of angle A = 30°
Step-by-step explanation:
angle A and B are supplementary and their sum is 180°
6x - 18 + 14x + 38 = 180° add like terms
20x + 20 = 180
20x = 180 - 20
20x = 160 divide both sides by 20
x = 8 and the measure of angle A
6x - 18 ➡ 6 × 8 - 18 = 30°
A rain gauge had 0.6 centimeter of rain after 2 hours, 0.9 centimeter after 3 hours, 1.2 centimeters after 4 hours, and 1.5 centimeters after 5 hours. At what rate (cm per hour) did it rain?
Answer: 0.3 cm per hour
Step-by-step explanation:
got it off of quizizzes
Kelly solved an equation: H/ 4 - 11 = 13 using two inverse operations of adding 11 to both sides of the equations, and then dividing both sides by 4. Her answer is H = 6. What is her error?
Answer:
She should have multiplied by 4, not divided
Step-by-step explanation:
Given
[tex]\frac{H}{4}[/tex] - 11 = 13 ( add 11 to both sides ) ← correct
[tex]\frac{H}{4}[/tex] = 24 ( multiply both sides by 4 to clear the fraction )
H = 4 × 24 = 96
H is divided by 4, thus the inverse operation is to multiply
help im being timed what is the perimeter of this triangle?!
Answer:
AB + BC + CA
Step-by-step explanation:
12b-8 + 12b- 8 + 9b+8
33b - 8
PLZ ANSWER FIRST GETS BRAINLIEST + 20 POINTS
Answer:
x= -2, y = 5
Step-by-step explanation:
y = -4x-3
y = -2x+1
Set the two equations equal to each other
-4x-3 = -2x+1
Add 4x to each side
-4x-3 +4x = -2x+1+4x
-3 = 2x+1
Subtract 1 from each side
-3-1 = 2x+1-1
-4 =2x
Divide by 2
-4/2 = 2x/2
-2 =x
Now find y
y = -4x-3
y = -4(-2) -3
y = 8 -3
y =5
Please help need answer now!!
Answer: 5/2
Step-by-step explanation:
Using slope formula m = rise/run
Which situation could NOT represent a proportional relationship?
A: The number of gallons of water in x barrel with 42 gallons of water in each barrel
B: The amount an employee who makes $8.50 per hour in h hours
C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds
D: The cost of purchasing p pounds of bananas for $0.55 per pound
Answer:
the answer is B
Step-by-step explanation:
pay attention to the word NOT
1. Ginger has 31 drinking straws. If each
straw is 7.875 inches long, how long are
the straws altogether?