Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Jimmy is in New York City to see a Drake concert. He needs to get
from his Airbnb to the concert venue, so he decides to take a cab.
The cab charges a $3 boarding fee in addition to charging $0.50
per mile traveled. Jimmy gave the driver a $2 tip and paid $10.
How far away was the concert venue?
Answer:
16
Step-by-step explanation:
y= .5x+3
10=.5x+2
Please i need help my homework is really hard
.
Answer:
f' (n)=9
Step-by-step explanation:
is this what you were looking for?
math question screen shot down below
Answer:
A
Step-by-step explanation:
If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add at the start.
Answer:
b+7,Option 1
Step-by-step explanation:
Let the number of buttons Cole had at first be a,
We know,now he has b buttons remaining which is 7 less than a
In other words,
a-7=b
or,a=b+7
In January, the depth of a lakeksas 1,053 feet. In August, the depth of the lake was 737.1 feet. What is the percentage decrease of
the depth of the lake from January to August?
OA. 43%
OB. 30%
OC. 36%
OD. 70%
Answer:
Your answer would be B. [tex]30[/tex]%
Step-by-step explanation:
To figure out the decrease, you would first subtract the two numbers.
[tex]1053 - 737.1 = 315.9[/tex]
Next, you would multiply the number by [tex]1053[/tex].
[tex]\frac{315.9}{1053} = .3[/tex]
Then, you would multiply that by [tex]100[/tex].
[tex].3 * 100 = 30[/tex]
The answer would be [tex]30[/tex]%.
[tex]1053 * .3 = 315.9[/tex]
[tex]1053-315.9 = 737.1[/tex]
Helppppp
Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 18 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 29 pieces of the fabric?
Answer:
Leia can cut 108 patches from 27 pieces of fabric.
Step-by-step explanation:
Which of the following complete the proof above?
Answer:
(A)
Step-by-step explanation:
To be honest, since all of them are different, as long as you get the first one right, you will get the others right. A is your answer, for the following reasons:
Reflexive Property: The Reflexive property states that the mirrored version of itself will always be congruent with itself. Generally, to make it easier, they will write it opposite (as they did in the given proof):
line AC ≅ line CA
~
Answer:
A
Step-by-step explanation:
AC and CA represent the same segment, therefore have the same length and hence are congruent
Last step should be CPCTC because that's what is to be proven
Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =
Answer:
Step-by-step explanation:
Answer:
Behold! The web haseth calculators. They work well.
#PlatoAccuracyMatters
Step-by-step explanation:
will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?
Answer: She did not use the factors in correct order therefore she is inncorrects
Step-by-step explanation: I got it right on edge
Answer:
Sari did not use the greatest common factor in the equation.
Step-by-step explanation:
According to the Washington, D.C. Lottery’s website for its Cherry Blossom Double instant scratch game, the chance of winning a prize on a given ticket is about 17%. Imagine that a person stops at a conveniencestore on the wayhome from work every Monday, Tuesday, and Wednesday to buy a scratcher ticket and plays the game. What is the probability that the player will not win on Monday or Tuesday, but will win on Wednesday?
Answer:
Step-by-step explanation:
the probability that the player will not win on Monday or Tuesday, but will win on Wednesday is the same as the probability of winning on the third trial.
This is an example of a geometric probability distribution because trials are repeated until the first success is gotten. Since chance of winning a prize on a given ticket is about 17%, it means that the probability of success, p = 17/100 = 0.17.
Let x represent the number of days before the person wins. The probability that it takes three days before the player wins is expressed as
P(x = 3)
By using the geometric distribution calculator,
P(x = 3) = 0.12
Solve 5/8 + 3/4 -2/3-5/6 A.11/12 B.-2 1/16 C.-11/12 D.2 1/16 Pwease help
Answer: The answer is -1/8 :)
Sarah and gabriela are at a soccer camp . The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice . How many soccer practices can the coach have?
Answer:
the answer is 12
Step-by-step explanation:
you basically have to divide 8 by 2/3 then you would get 12
8/1 / 2/3 kcf8/1 x 3/2= 24/224 divided by 2 = 12Can Someone Please Help Me?
Answer:
for the first question-
C is the correct answer
for the second one-
B is the correct answer
I hope this helped :)
Set up as equal rates and solve. The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches?
We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.
We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.
[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]
[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]
[tex]\text{Actual distance}=675\text{ miles}[/tex]
Therefore, the actual distance from Pensacola to Miami is 675 miles.
What is the percent increase when 7 200 increases by 1.800?
20 percent
25 percent
54 percent
80 percent
An angle is supplementary and one measures 70° what is the measurement of the other angle?
Answer:
x= 110
Step-by-step explanation:
Supplementary angles add to 180
Let x be the other angle
x +70 =180
Subtract 70 from each side
x+70-70=180-70
x = 110
Answer:
110 degrees
Step-by-step explanation:
Supplementary angles add to 180 degrees.
We have two angles: one is unknown and the other is 70 degrees.
These 2 angles added together must equal 180.
x+70=180
Since we are trying to find x, the unknown angle, we have to get x by itself. Since 70 is being added to x, subtract 70 from both sides.
x+70-70=180-70
x=110
So, the other angle is 110 degrees
Choose the function to match the graph.
f(x) = log x + 2
f(x) = log x - 2
f(x) = log (x + 2)
f(x) = log (x - 2)
Answer:
C; f(x)=log(x+2)
Step-by-step explanation:
Write a number b increased by 3 as an expression.
Answer:
b+3
Step-by-step explanation:
The variable is "b", and increased is adding (+).
~Anna
Answer:
F(b)=b+3
Step-by-step explanation:
What is the area of the rectangle?
4 cm
3 cm
4 square centimeters
7 square centimeters
12 square centimeters
24 square centimeters
Identify the x and y intercept.
A. x intercept: (2,0) y intercept: (0,-3)
B. x intercept: (-3,0) y intercept: (0,2)
C. x intercept: (2-3) y intercept: (2,-3)
D. x intercept: (2,-3) y intercept: (-3,2)
Answer:
Bro write the question better
Step-by-step explanation:
PLEASE HELP ME GREATLY APPRECIATED
A 42%
B 52%
C 58%
D 50%
Answer:
42%
Step-by-step explanation:
1) so out of the 50 girls surveyed, only 21 students played in the league. We can write this as 21/50
to convert this into percentage multiply by 2 on both sides:
21*2=42
50*2=100
42/100=42%
42% of girls played in the league
hope this helps!
The regular hexagon has a radius of 4 in.
What is the approximate area of the hexagon?
O 24 in.2
0 42 in.2
048 in 2
084 in 2
4 in
Answer:
42
Step-by-step explanation:
A=33
2a2=3·3
2·42≈41.56922
Answer:
42
Step-by-step explanation:
help please!!!!!!!!!!!!!
Answer:
4: <5= 115°
5: <2= 115°
6: <6= 115°
10: <1= 30°
11: <4= 30°
12: <6= 150°
Step-by-step explanation: Hope this helped
Which of the following is true of the data set represented by the box plot? (2 points)
box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15
Group of answer choices
a.) The data contains at least one outlier.
b.) The mean and median are most likely the same or very close.
c.) The data is skewed to the right.
d.) The median is 11.
Answer:
b
Step-by-step explanation:
A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Harold walked 4 miles in 51 minutes. How long did it take to walk one mile?
Answer:
12 minut 15 seconds
Step-by-step explanation:
51 minutes= 51*60=3060 seconds
3060 second :4 miles=765 seconds
Harold walked 1 miles in 12 minut 15 second
need help quick plz
Find the 13th term in the following
arithmetic sequence :
2, 10, 18, 26, ...
Answer:
98
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 10-2 =8
a1 = 2
an = a1+d(n-1)
an = 2+8(n-1)
we want the 13th term
a13 = 2 +8(13-1)
=2+ 8*12
= 2+96
= 98
Need help on this :|
Answer:
Rachel will earn $1,800 in Interest to make a total of $2,800. She'll not have enough money
Step-by-step explanation:
I=Prt
=1000*0.05*36
=$1,800
What is x greater than 8
Answer:
8+x
Step-by-step explanation:
Answer:
x > 8? I suppose thats what your looking for?
I hope this helps ^^
