Answer:
(0, 66 )
Step-by-step explanation:
To find the y- intercept, let x = 0 and solve for y
f(0) = 2(0 - 7)² - 32
= 2(- 7)² - 32
= 2(49) - 32
= 98 - 32
= 66
The coordinates of the y- intercept are (0, 66 )
HELP ASAP
table
———————————————
Radius (ft) Bushels of corn
500 2705
1000 10818
1500 24341
2000 43273
2500 67613
What type of function best models the given data set?
A. Constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Linear would be fine as it doesn't decrease to under zero
and a curve graph would represent this data fine at 10818 turning point.
Step-by-step explanation:
Which of the following has contributed to flooding in India?
I. India receives an excessive amount of rainfall.
II. India's coastal regions experience many cyclones.
III. India's deforestation makes it harder for soil to absorb water.
CA
II and III
B. Tand III
OC. I and II
D. I, II, and Ill
Answer:
| and ||
Step-by-step explanation:
Answer:
The answer is I, II, and III
Step-by-step explanation:
Three of the bedrooms in Lana’s house are rectangular, each 101/2 feet by 111/4 feet, What is the least amount of carpeting needed to completely cover the three floors?
Answer:
The answer is D, or 354 3/8 ft^2
Please Help!!!!! Extra points and brainiest will be given.
Find the volume of the cylinder in terms of pi.
Answer:
The volume of the cylinder would be 226.19in however if you need it in terms of pi it would be V = 72 π in3
Step-by-step explanation:
V=πr2h=π·62·2≈226.19467, hope I was able to help you
And that is basically what you have to do
Answer:
72π inches^3
Step-by-step explanation:
The volume of a cylinder can be found using:
v=πr^2h
We know that the radius is 6 inches, and the height is 2 inches. So, we can substitute 6 in for r, and 2 in for h.
v= π 6^2 *2
Evaluate the exponent
v= π 36*2
Multiply 36 and 2
v= π72
So, the volume in terms of pi is:
72π inches^3
Write a polynomial to represent the area of the shaded region. Then solve for x given that the area of the shaded region is 24 square units.
3x2 + x - 6; x = 3
3x2 + 7x - 6; x = 2
3x2 + 7x - 6; x = 5
WILL GIVE BRAINLIEST WITH EXPLANATION
Answer:
[tex]3x^{2}[/tex] +x -6 ; x = 3
Step-by-step explanation:
PART 1: The Polynomial
1. Set up the Equation: (x+3)(3x-2) - 6x
You want to find the area of the larger of the 2 rectangles that way you can subtract the area of the smaller one to get the shaded area (if that makes sense). You multiply length by width to get the area so you will multiply (x+3) by (3x - 2). The same applies to the smaller of the two rectangles, so that will be 6x.
2.FOIL: [tex]3x^{2}[/tex] - 2x + 9x -6 - 6x
You are going to want to foil (x+3) and (3x-2). If you are unfamiliar with the FOIL method I would recommend watching a Khan Academy video about it.
3. Simplify: [tex]3x^{2}[/tex] +x -6
Add and subtract like terms. This will be your polynomial.
PART 2: The Value of x
1. Set up the Equation: [tex]3x^{2}[/tex] +x -6 = 24
You will set the polynomial to equal 24 the polynomial and number both equal the size of the shaded area
2. Subtract: [tex]3x^{2}[/tex] +x -30 = 0
Subtract 24 from both sides.
3. Factor: (3x + 10)(x - 3) = 0
4. Set each group to equal zero.
a. 3x + 10 = 0
3x = -10
x = -10/3
----------------
b. x - 3 = 0
x = 3
5. Check both the answers in [tex]3x^{2}[/tex] +x -6 = 24 to see if your answers are correct. The answer would be x = 3.
Polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of 'x' is 3.
Area of a rectangle:Area of a rectangle is given by the expression,Area of a rectangle = Length × Width
Given in the picture,
Larger rectangle with measures,Length = (x + 3) units
Width = (3x - 2) units
Small rectangle with measures,Length = x units
Width = 6 units
Area of the shaded region = Area of the larger rectangle - Area of the smaller rectangle.
Area of the larger rectangle = (3x - 2) × (x + 3) square units
Area of the smaller rectangle = 6x square units
Area of the shaded region = (3x - 2)(x + 3) - 6x
= 3x(x + 3) - 2(x + 3) - 6x
= 3x² + 9x - 2x - 6 - 6x
= (3x² + x - 6) square units
If the area of the shaded region is 24 square units.
3x² + x - 6 = 24 [Substitute the values]
3x² + x - 30 = 0
3x² + 10x - 9x - 30 = 0 [Factor the equation]
x(3x + 10) + 3(3x + 10) = 0
(x - 3)(3x + 10) = 0
[tex]x=3,-\frac{10}{3}[/tex]
Therefore, polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of x is 3.
Learn more about the area of a rectangle here,
https://brainly.com/question/1256199?referrer=searchResults
"Five less than three times a number is greater than two-thirds of that number."
Which inequality matches the given statement?
A. 3n-5>2/3n
B. 5-3n>2/3n
C. 3n-5<2/3n
D. 5-3n<2/3n
Answer:
A.
Step-by-step explanation:
The inequality matches the given statement 3n-5>2/3n.
What is the inequality?An inequality is a relationship between two different quantities or expressions.
An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is b equal to
"Five less than three times a number is greater than two-thirds of that number.
3n-5>2/3n
Hence, the inequality matches the given statement 3n-5>2/3n.
Learn more about inequality here;
https://brainly.com/question/11968331
#SPJ2
Y=4×^2-13×+10 what is the quadratic function by factoring?
Answer:
(4x-5)(x-2)
Step-by-step explanation:
factors of 10: 1,10, &2,5
factors of 4: 1,4 &2,2
(4x-5)(×-2)
Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
C11 is the correct answer
Step-by-step explanation:
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
Don't you dare answer this question.
Solve for x
|√-39|x122 = x
Answer:
I think x is 761.28 Sorry if its wrong tried my best :) :(
Step-by-step explanation:
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
Givin away points if ur a begginer
Answer:
Cause I will any ways
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
thats it?
6% of it is 27
I need help. Someone please give me a explanation of how to do this.
Answer:
You take 6% of a number and the resulting number is 27.
To do this you need to change the percent into a fraction.
6% = 6/100
This is the number you need to multiply to the number you need to find, A.
6/100 A = 27
Solve for x
6 A = 27x100
A= 2700/6
A = 450
Check your answer:
6/100 (A) = 27
6/100 (450) = 27
(6x450) /100 = 27
2700 / 100 = 27
27 = 27
Step-by-step explanation:
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
Zia is building a plastic model rocket that has the combined shape of a cone and a cylinder as shown. Additionally, the cylinder has a hemisphere hollowed out of its bottom. the plastic for the cone weights 1.4 grams per cubic centimeter and the plastic of the cylinder weighs only 0.8 grams per cubic centimeter. What is the volume of the plastic that remains?
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
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]
Mimi earns a 15% commission on any sales she earns.
Based on the information, which equation below represents total commission, c, for any given sale, S.
A c = s(1.5)
B. c = s(0.15)
.
Cc=s-s(0.15)
D. c= 150
Answer:
Its B
Step-by-step explanation:
Find the value of F and
S. Round the answer to the nearest hundredth.
Answer:
F = 1/2 OF 143
S = 1/2 OF 55 or 60
Step-by-step explanation:
did the math
What is the first quartile, Qı, of the data set?
{23, 28, 28, 36, 56, 60, 61, 65, 70}
Enter your answer in the box.
Q1
---
Answer:
28
Step-by-step explanation:
take the median of the data set which is 56 and then take the median of the numbers before 56
28 is the median Q1 is 28
Answer:
28
Step-by-step explanation:
First step is to find the median of the data set.
The median is the middle value of the data arranged in ascending order. If there is not an exact value then it the average of the values either side of the middle.
23 28 28 36 56 60 61 65 70
↑ median
The first quartile [tex]Q_{1}[/tex] is the middle value on the left side of the median.
23 28 28 36
↑
[tex]Q_{1}[/tex] = [tex]\frac{28+28}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28
It's exponential, quadratic or linear?
Answer:
B
Step-by-step explanation:
hi friends Mavis here
Answer:
Hi friend
Step-by-step explanation:
which part of transilvania do u like the best
I need the answer to these two questions 12 points !
What is the experimental probability of rolling a number less than 3?
Answer:
The probability of rolling a number less than 3 (so, 1 or 2) is 2 out of 6, or 1/3. The odds are 4 to 2 against, or 2 to 1 against.
Step-by-step explanation:
If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333
Do 5,6 for 15 points
Answer:
5) 6 hours
6)
b) $40 + $5 per ticket is the better option
1] A triangle with sides of 8, 15, and 16 is a right triangle.
A. True
B. False
2] In a right triangle, one leg is 10 cm and the hypotenuse is 26 cm. Find the
measure of the other leg.
Response: __________
3] In a right triangle, if a = 1 and b = √3, then what is c?
A. √10
B. 2
C. √2
D. 4
4) If the two legs of a right triangle are equal and the hypotenuse is √50, each
side is 5.
A. True
B. False
5) A triangle with side lengths 13,14, and 15 is a right triangle.
A. Agree
B. Disagree
6) Solve: |−3|=5
A. -2, 8
B. 8
C. 2
D. No solution
ANSWERS
1 B
2 24
3 B
4 A
5 B
6 D
Find the simple interest earned to the nearest cent for the principal, interest rate, and time.
$500, 4%, 2 years
I = prt
A.
$50
C.
$48
B.
$62
D.
$40
Answer:
D. $40
Step-by-step explanation:
you just plug in the numbers given to each of the values
p=$500
r=4%
t=2
then multiply them together and you have your answer
btw when multiplying them 4% would be .04 instead
hope this helps!
Solve the equation
8/x + 3 = 1/x + 1
Answer: I got the answer of -7/2
Step-by-step explanation:
8
x
+3=
1
x
+1
Multiply all terms by x and cancel:
8+3x=1+1x
3x+8=x+1(Simplify both sides of the equation)
3x+8−x=x+1−x(Subtract x from both sides)
2x+8=1
2x+8−8=1−8(Subtract 8 from both sides)
2x=−7
2x
2
=
−7
2
(Divide both sides by 2)
x=
−7
2
Check answers. (Plug them in to make sure they work.)
x=
−7 /2
(Works in original equation)
Answer: -7/2
Using multiplication, the equation has the solution is -7/2.
What is multiplication?
The multiplication is "the process of multiplying one number is to multiply to its certain number of times".
According to the question,
[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]
[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]
8 + 3x = 1 + x [By cancel 'x' on both denominator]
8 - 1 = x - 3x
7 = -2x
x = - [tex]\frac{7}{2}[/tex]
Hence, using multiplication the equation has the solution is -7/2.
Learn more about multiplication here
https://brainly.com/question/9813637
#SPJ2
Simplify each side of the equation.
6-4 = k-3k
Answer:
k = -1
Step-by-step explanation: 6-4 = k-3k
subtract: 2 = -2k
divide both sides by -2: k = -1
simplifying is easy! we simply add or subtract like terms on each side.
6-4=2
1-3=-2 and then add k which is the variable so -2k
The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k
Verify that sin 2x = 2 cot x sin2 x is an identity
Answer:
see explanation
Step-by-step explanation:
Verifying that the left side equals the right side
left side = sin2x = 2sinxcosx
Consider the right side
2cotxsin²x
= 2 × [tex]\frac{cosx}{sinx}[/tex] × sin²x ← cancel sinx on numerator/ denominator
= 2cosxsinx = left side ⇒ verified
1 only
2 only
3 and 4
2 and 4
Answer:
the second one
Step-by-step explanation:
