Answer:
vertex (-4,-1)
2nd point ( 0,31)
Step-by-step explanation:
f(x) = 2x^2 + 16x + 31
First find the vertex
The x coordinate of the vertex is -b/2a where ax^2 +bx +c
-16/ 2(2) = -16/4 = -4
Substitute into the function
f(-4) = 2 ( -4)^2 +16(-4) +31
= 2 *16-64 + 31
= 31 -64 +31
= -1
The vertex is at ( -4,-1)
Another point can be x=0
f(0) = 0+16(0)+31
= 31
( 0,31)
PLEASE HELP A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
================================================
Work Shown:
A = area of larger rectangle
A = length*width = 9*15 = 135 square feet
B = area of smaller rectangle
B = length*width = 7*4 = 28 square feet
C = area of shaded region
C = difference in areas of A and B
C = A - B = 135 - 28 = 107 square feet
Nath is a 23-year-old single male. He is in perfect health, and he has children. Which health
insurance policy is best for him?
Policy 1 Policy 2 Policy 3 Policy 4
Term Term Whole Whole
Term or whole
Death benefit
Protection period
Cost per year
Convertible term
$200,000 $200,000 $200,000 $200,000
26 years 30 years
Life Life
$400 $420 $5000 $8000
No
Yes
Yes
No
Dividends
No
Yes
Yes
Yes
Proceeds paid to beneficiary
Yes
Yes
Yes
Yes
which one?
Policy 2
Policy 1
Policy 4
Policy 3
Answer:
Policy 2
Step-by-step explanation:
I just took the test and got it right
PLEASE I DID THE ANSWER!!!!!
Help me! PART B PART C
Answer:
A.) P^2 - 10p + 24 = 0
B.) 6 or 4 dollars
Step-by-step explanation:
Given that a company’s weekly revenue, in thousands, is modeled by the equation
R = -p2 + 14p,
where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.
Therefore,
-P^2 + 14p = 4p + 24
Collect the like terms
-P^2 + 14p - 4p - 24 = 0
-P^2 + 10p - 24 = 0
Multiply all by minus sign
P^2 - 10p + 24 = 0
B.) To find P, factorize the equation above.
P^2 - 10p + 24 = 0
- 6 x - 4 = 24 and - 6 - 4 = 10
P^2 - 4p - 6p + 24 = 0
P( p - 4 ) - 6( p - 4 )
P - 6 = 0 or p - 4 = 0
P = 6 or 4
Substitute both back into the equation to test their authenticates
When p = 6
6^2 - 10(6) + 24 = 0
When p = 4
4^2 - 10(4) + 24 = 0
Question 5 of 10
What is the approximate area of the shaded sector in the circle shown below?
A. 25 img
4.3 in
155
B. 5.82 in2
с
C. 11.63 in 2
D. 50 in2
SUBMIT
Answer:
25 in ^2
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 ( 4.3)^2
A =58.0586
The take the fraction of the circle that is shaded
A circle is 360 degrees
155/360
155 /360 * the total area = area shaded
31/72 * 58.0586 = 24.99745278 in ^2
Rounding yields 25 in ^2
Answer:
25[tex]in^2[/tex]
Step-by-step explanation:
To find the area we need to use the expression [tex]\frac{x}{360}[/tex] · [tex]\pi r^2[/tex]
When you substitute and solve you should get 25[tex]in^2[/tex]
WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Bob makes 15 dollars an hour mowing lawns.
The graph would be a straight line with a slope of 15.
Step-by-step explanation:
The Constant of Proportionality is y=kx, where k is the constant. A real world example would be:
Bob makes 15 dollars an hour mowing lawns. (y=15x)
The graph would be a straight line with a slope of 15.
IDK what to put up here any more so imma copy-paste this
Answer:
its 3 units.
Step-by-step explanation:
Answer: 3 units
Step-by-step explanation:
Points A and B have the same y value. Thus, subtract the x-values from each other to get 5 - 2 = 3.
Hope it helps <3
You are going to make “words” using the letters in the word WHISKAS. a) How many seven-letter words can you make? b) How many seven-letter words can you make if the two S’s must be together? c) How many seven-letter words can you make if the words must begin with A and end with H?
Hey there! I'm happy to help!
PART A
When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.
We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.
The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.
But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.
5040/2=2520
There are 2520 ways you can arrange the word WHISKAS.
PART B
Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.
PART C
Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.
Have a wonderful day!
WILL MARK BRAINLIEST! The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
the answer is c
Step-by-step explanation:
when expanded the first three coefficients are 1 4 6
Answer: CCCCCc
1,4 and 6
Step-by-step explanation:
Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
For more details, refer to the link:
https://brainly.com/question/23535769
PLEASE HELP! 10 POINTS Write the equation of the function graphed. Graph of an abolute value function shifted 4 units to the left. f(x) = |x + 4| f(x) = |x| – 4 f(x) = |x – 4| f(x) = |x| + 4
Answer: try and use socratic its an app it will help you find ways to get answers for the graph its simple and easy
Step-by-step explanation:
An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?
Answer:
70 years
Step-by-step explanation:
35 years before Christ and then another 35 years after: 35 + 35 = 70 years
Which answer describes the type of sequence
A cdefghijklmnop
Step-by-step explanation:
Answer:
option a) multiply by 1/2
Step-by-step explanation:
2, 1 , 1/2 , 1/4 ....
Common ratio = 2nd term ÷ 1st term
= (1/2)÷ 1
= 1/2
Each term is obtained by multiplying by (1/2) with the previous term
A train travels 60km in y minutes.If this average speed is 400km per hour,find the value of y
Answer:
9
Step-by-step explanation:
Speed of the train is:
60 km / y minAnd average speed is:
400 km / h = replacing 1 h with 60 min400 km/ 60 min = 20 km /3 min = 60 km / 9 minComparing the two above, we see y= 9
Sally has a part time job mowing lawns so she can save money for a new car. She charges $5 per hour. What numbers make sense for the domain and range.
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
Answer:
Step-by-step explanation:
The number of hours worked, h, could be zero or greater: [0, 40), where "40" is the upper cap on the number of hours she works.
The range consists of all possible total earnings amounts: [$0, $1000).
Help me please need help gonna fail sos
Answer:
235
Step-by-step explanation:
We have ED is 95.
We can find EC by 180-40 = 140
So DEC = 95+140=235
Answer:
236
Step-by-step explanation:
please solve thank you!!!
For question 7, the output from left to right is:
20, 30, 40, 50, 60
For question 9, the output from left to right is:
6, 12, 18, 24
Explanation:
Using the rule (10=d-b) we can just add 10 to the input.
The same thing results with #9. We just need to add 4 to the input so that in the end u(output)-g(input)=4.
Hope this helps!! <3
Answer:
Step-by-step explanation:
7. Rule: 10=d-b
20-10=10
30-10=20
40-10=30
50-10=40
60-10=50
9. Rule: u-g=4
6-2=4
12-4=8
18-4=14
24-4=20
HOPE THIS HELPS!!!!!:)
The perimeter of a triangle is 88 centimeters. If two sides are equally long and the third side is 10 centimeters longer than the others, find the lengths of the three sides. The length of each of the two equally long sides is ____(centimeters,square centimeters) and the length of the longer side is ____ (square centimeters,centimeters).
Answer:
P=2x +2y
2x=2y-p
As given that 2x=2(10)+88
x=108/2
x=54cm
May be it's help you;)
Answer:
The length of each of the two equally long sides is 26 cm
The length of the longer side is 36 cm
Step-by-step explanation:
Let the length of each of the two equal sides be represented by x
The other side = 10 + x
Perimeter of triangle (P) = sum of all sides of the triangle
88 = x + x + 10 + x
88 = 3x + 10
3x = 88 - 10
3x = 78
x = 78/3 = 26
Length of each of the two equally long sides (x) = 26 cm
Length of the longer side = 10 + x = 10 + 26 = 36 cm
HELPPPImagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given only a few of the points that the ball passes through, it is actually possible to determine the equation of the parabola that represents the ball’s path through the air. part a-Assume the ball passes through the points , , and . Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. Write the system in the space provided. part b-Use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX = B based on the system of equations you derived in part B where X is a matrix of the variables a, b, and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided. partc-Now that you have determined the equation of the parabola, assume that x represents the number of seconds that have passed since the ball was thrown and determine approximately how long it will take for the ball to hit the ground.
Answer:
(a, b, c) = (-1/3, 2, 5)y = (-1/3)x^2 +2x +57.90 secondsStep-by-step explanation:
From your equations in Part A, we can write the matrix equation as ...
[tex]\left[\begin{array}{ccc}9&3&1\\25&5&1\\36&6&1\end{array}\right] \cdot\left[\begin{array}{c}a&b&c\end{array}\right] = \left[\begin{array}{c}8&\frac{20}{3}&5\end{array}\right][/tex]
For the purpose of finding the inverse matrix (which we don't really need to do to solve this), it is convenient to use an augmented matrix that will give both the matrix inverse and the solution.
[tex]\left[\begin{array}{ccc|ccc|c}9&3&1&1&0&0&8\\25&5&1&0&1&0&\frac{20}{3}\\36&6&1&0&0&1&5\end{array}\right][/tex]
For the first step in the solution, we'll divide the first row by 9, then subtract 25 times that from the second row, and 36 times that from the third row. The goal of this step is to make the first column be 1, 0, 0. The result is ...
[tex]\left[\begin{array}{ccc|ccc|c}1&\frac{1}{3}&\frac{1}{9}&\frac{1}{9}&0&0&\frac{8}{9}\\0&-\frac{10}{3}&-\frac{16}{9}&-\frac{25}{9}&1&0&-\frac{140}{9}\\0&-6&-3&-4&0&1&-27\end{array}\right][/tex]
For the second step in the solution, we'll multiply the second row by -3/10, then subtract 1/3 times that from the first row and add 6 times that to the third row. The goal of this step is to make the second column be 0, 1, 0. The result is ...
[tex]\left[\begin{array}{ccc|ccc|c}1&0&-\frac{1}{15}&-\frac{1}{6}&\frac{1}{10}&0&-\frac{2}{3}\\0&1&\frac{8}{15}&\frac{5}{6}&-\frac{3}{10}&0&\frac{14}{3}\\0&0&\frac{1}{5}&1&-\frac{9}{5}&1&1\end{array}\right][/tex]
For the third step in the solution, we'll multiply the third row by 5, then add 1/15 of that to the first row and -8/15 of that to the second row. The goal of this step is to make the third column be 0, 0, 1. The result is ...
[tex]\left[\begin{array}{ccc|ccc|c}1&0&0&\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}&-\frac{1}{3}\\0&1&0&-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}&2\\0&0&1&5&-9&5&5\end{array}\right][/tex]
The middle section of this augmented matrix is the inverse of the coefficient matrix:
[tex]A^{-1}=\left[\begin{array}{ccc}\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}\\-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}\\5&-9&5\end{array}\right][/tex]
The right section of the augmented matrix is the solution set:
[tex]X=\left[\begin{array}{c}a\\b\\c\end{array}\right]=\left[\begin{array}{c}-\frac{1}{3}\\2\\5\end{array}\right][/tex]
__
The equation of the parabola is ...
[tex]\boxed{y=-\dfrac{1}{3}x^2+2x+5}[/tex]
__
The ball will hit the ground when y=0. The values(s) of x can be found from the quadratic formula:
x = (-b±√(b²-4ac))/(2a) = (-2±√(2²-4(-1/3)(5)))/(2(-1/3))
x = (2 ± √(32/3))/(2/3) = 3±√24 = {-1.899, 7.899}
It will take about 7.90 seconds for the ball to hit the ground.
Question below. Please answer it, its math.
Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis
= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "
= [tex]2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}[/tex] - 2x
= [tex]\frac{6x}{5}+3[/tex] - 2x, Combine fractions
= [tex]-\frac{4x}{5}[/tex] + 3
= [tex]-\frac{4}{5}[/tex]x + 3
So we have our simplified expression " [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz
Answer:
31t 2,446 lb 2oz
Step-by-step explanation:
24t+7t=31t
1,507+938=2,445 lb
12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)
31t+2,445 lb+1 lb + 2oz=
31t 2,446 lb 2oz
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 10 centimeters. A. 600 square centimeters B. 900 square centimeters C. 300 square centimeters D. 2,000 square centimeters
Answer:
The correct answer is A. 600 square centimetres
Step-by-step explanation:
Let's recall that the formula of the surface area of a cube is:
A = 6s², where s is the side length of the cube.
Replacing with the value we know, we have:
A = 6 * 10²
A = 6 * 100
A = 600 square centimetres
The correct answer is A. 600 square centimetres
A ball has a diameter of 7 inches. What is the volume
Answer:
179,5 inches³
Step-by-step explanation:
Hello !
d = 2r => r = d/2 = 7in/2 = 3.5 inches
V = 4π·r³/3
= 4·3.14·(3.5in)³/3
= 538.51in³/3
≈ 179,5 inches³
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 milliliters of a mixture that contains 23%vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
Vinegar: 40 milliliters
Italian dressing: 280 milliliters
Step-by-step explanation:
I jus took the test :)
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be?
Answer:
Max would be 4y meters ahead by 4pm
Step-by-step explanation:
What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.
Mathematically, distance = speed * time
The time is just the difference between 12 noon and 4pm which is 4 hours
Let’s tackle Max’s
He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters
Now let’s tackle Sven
Sven is biking at a speed which is y mph less than Max’s x mph
Thus his speed would be (x-y) mph
His distance covered would be 4(x-y) meters
Now the difference between their bikes distance at 4pm would be;
4x - [4(x-y)]
= 4x -(4x -4y)
4x -4x + 4y
= 4y
Hence, Max would be 4y meters ahead by 4pm
By 4 pm, Max would be 4y meters far ahead of Sven.
What is the distance?Distance is defined as the product of speed and time.
distance = speed × time
To determine the difference in the distance they have covered by 4 pm given the speed at which they traveled.
Given that, Max and Sven bike away from home in the same direction starting at noon
The time is the difference between the 4 hours between noon and 4 o'clock.
Max's current speed of x km/h,
The distance he would have traveled by 4 pm as
⇒ 4 × x
⇒ 4x meters
Max is biking at x mph while Sven is going y mph slower.
Max would therefore be going at (x-y) mph.
Max's distance covered would be 4(x-y) meters
At 4 p.m., the distance between their bikes would be as:
⇒ 4x - [4(x-y)]
⇒ 4x -(4x -4y)
⇒ 4x -4x + 4y
⇒ 4y
Hence, By 4 pm, Max would be 4y meters far ahead of Sven.
Learn more about distance here:
brainly.com/question/13269893
#SPJ2
The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that
the population in the year 2000 was 12100.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is the answer should be an integer)
ASAP PLS
Answer:
(a) P(t) = 12100*(1.04^t)
(b) in 2008, estimate of population is 16560 (to the nearest integer)
Step-by-step explanation:
Population in 2000, P(0) = 12100
Growth rate = 4% each year
(a) function model for the t year after 2000 (exponential model)
P(t) = 12100*(1.04^t)
(b) for 2008,
P(2008-2000)
= P(8)
= 12100*(1.04^8)
= 12100 * 1.368569
= 16559.7
= 16560 (nearest integer)
Which graphs is represent functions?
Answer:
graph b and d
Step-by-step explanation:
because they pass the vertical line test.
If the perimeter of a square is 32 meters, then what is
the area of the square, in square meters?
Answer:
The awnser is 64
Step-by-step explanation:
It is 64 because you devide the perimiter (32) by 4, to get all sides, and then multiply 1 side by the other to get 64
THIS METHOD ONLY WORKS FOR A SQUARE
Please help me with this geometry question:((
Answer:
(x + 3.5 ) / (x - 4 ) = 20 / 8
8x + 28 = 20x -80
12x = 108
x = 9
Step-by-step explanation:
5x-2y = -25 Solve by linear combination please show work
Answer:
The answer you get is x=-3, and y=5 or (-3,5)
Step-by-step explanation:
3x+y=-4 and 5x-2y = -25.
Firstly, to solve the equation let's use the multiplication method.
5x-2y=-25 (Multiply by 1)
3x+y=-4 (Multiply by 2)
=
5x-2y=-25
+6x+2y=-8
=
11x=-33
x=-3
We know that x=-3, now we can find y by substituting this value into other equations.
5(-3)-2y=-25
-15-2y=-25
+15 +15
-2y=-10
y=5
The answer you get is x=-3, and y=5 or (-3,5)
The following function represents the value of a house, in dollars, after x years:
f(x) = 242,000(1.04)*
What does 242,000 represent? (5 points)
Answer:
242,000 is the present value of the house.
Step-by-step explanation:
Answer:
242,000 represents the value of the house
Step-by-step explanation: