Step-by-step explanation:
I hope this helps you answer your questions about graphing the line.
Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the nearest hundredth?
Vertex = (
,
)
The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)In this problem, the function is given by:
y = 2x² + 25x + 3.
Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:
\(x_v = -\frac{25}{2(2)} = -6.25\)\(y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13\)The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).
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Answer:
6.25, -75.13
Step-by-step explanation:
it just is
A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered date on the amount of diet soda remaining in the machine y for several hours after the machine is filled x the following scatter plot and line of fit was created to display the data.
Find the y interpret of the line of fit and explain its meaning in the context of the date.
A. The y-intercept is -5.1 the machine starts with 5.1 ounces of diet soda.
B. The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
C. The y-intercept is -5.1 the machine loses about 5.1 fluid ounces of diet soda each hour.
D. The y-intercept is 40.5 the machine loses about 40.5 fluid ounces of diet soda each hour.
The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
Option B is the correct answer.
We have,
From the graph plot,
We see that,
The y-intercept is when x = 0.
This means,
At 0 hours, the amount of diet soda is 40.5.
Now,
y = 40.5 means the machine starts with 40.5 ounces of diet soda.
Thus,
The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
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Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
Plz answer the question attached
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).
\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2\)
Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.
\(y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5\)
Which statement is true about the prime polynomial 2x2 + 3x + 3?
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
A
Step-by-step explanation:
because problem make more sences
Answer:
A it cannot be modeled with a rectangle
Step-by-step explanation:
Which of the following shows a 90° counterclockwise rotation of the blue figure
Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?
Answer:
See below!
Step-by-step explanation:
Data:254, 202, 284, 269, 151, 258, 202
Mean:The sum of data divided by the number of data is called mean.Mean of the data:
\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)
Median:The middle value of the data is median.Median of data:
Arrange the data in increasing order.
151, 202, 202, 254, 258, 269, 284
The middle value = 254
So,
Median = 254Mode:The frequently occurring value in the data is known as mode.Mode in data:
The mode, here, is 202. (occurring 2 times.)
So,
Mode = 2\(\rule[225]{225}{2}\)
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
Reflect shape A in the line x = -2
The reflection of shape from x = -2 shown below.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
To reflect the figure from x= -2.
Then, the coordinates of object after reflection is
(-1, -1)
(1, -1)
(-1, -4)
(0, -4)
(1, -3)
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What is the growth factor of the following example? Assume time is measured in the units given.
A forest shrinks 80% per century.
a. 20 per century c. 80 per century
b. 0.20 per century d. 0.80 per century
Please select the best answer from the choices provided
Answer:
B. 0.20 per century
Step-by-step explanation:
I calculated it logically
What is the area of the trapezoid?
Answer:
A=a+b
2
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an expression to represent the number of tents needed.
Answer:
3x=P
Step-by-step explanation:
The 3x shows how many campers can fit in one tent so x=campers and then the p is to show how many tents the camp leader needs.
find the missing number 1,2,6,15,31___?
4
5
6
7
8
9
10
11
12
13
14
16
17
19
20
21
22
23
24
25
26
27
28
29
30
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
ayudenme porfavor es para mañana
Hello..!
If you say that the value of x is an integer then the number when divided by 3 which is "3x" will result in an integer:
\({\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf40 \div 3 = 13.33}}\)
Option A) does NOT return an integer so it is not the answer.
\({\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf41 \div 3 = 13.66}}\)
Option B) is also not the answer.
\({\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf42 \div 3 = 14}}\)
Option C) does result in an integer but let's see the others:
\({\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{43 \div 3 = 14.33}}}\)
Option D) also does not return an integer.
\({\: \: \: \: \: \: \: \: \: \: \: \: \: \sf{44 \div 3 = 14.66}}\)
And lastly option E) does not result in an integer so the only one that results in an integer is option C) and that is the 42nd answer.
\(\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{\sf \orange\longmapsto{ \red{C) \: \green{42°} }}}\)
So, the correct part is C)42°
Answer:
The result is
C) 42°Hope this helped
What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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Tessellations
Rotate the parallelogram 180° clockwise about point Q.
Please select the best answer from the choices provided
Answer:
D.
Step-by-step explanation:
I calculated it logically
approximatly 31,500 citizens of a country died in automobile accidents in 2015, express this toll in deaths per day. round to the nearest whole number. There are approximatly how many deaths due to automobile accidents
Using simple division we know that 86 people or citizens dies each day in 2015.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
Division in mathematics is the process of dividing an amount into equal parts.
For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
So, we know that:
31,500 people died in 2015.
We also know that 2015 had 365 days.
Then, people died easily day would be:
= 31,500/365
= 86.30
Rounding off: 86 people
Therefore, using simple division we know that 86 people or citizens dies each day in 2015.
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The solution to X +9-3 is less than or equal to 14
Answer:
\(x∈( - ∞;8]\)
Step-by-step explanation:
\(x + 9 - 3 \leqslant 14\)
Collect like-terms:
\(x \leqslant 14 - 9 + 3\)
\(x \leqslant 8\)
\(x∈( - ∞;8]\)
Find the measure of each arc
The measures of the arcs are
a. arc RS = 138
b. arc QRS = 180
c. arc QST = 222
d. arc QT = 138
How to find the measure of the arcThe measure of the arc is solved by assuming that point p is the center of the circle. Angle on a semi circle is equal to arc length which is equal to 180 degrees
a. arc RS
= 180 - 42 = 138
b. arc QRS
line QPS is the diameter hence QRS is 180 degrees
c. arc QST
= arc QRS + arc ST
arc ST = arc QR (vertical angle theorem used for central angle)
= arc QRS + arc RS
= 180 + 42
= 222 degrees
d. arc QT
arc QT = arc RS (vertical angle theorem used for central angle)
= 138 degrees
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30 POINTS, HELP!!
A sporting goods store sells two types of bicycles, in two colors. The table shows its sales over the last year.
Are buying a road bike and buying a silver bike independent events?
A. No, because P(road bike) = 0.625 and P(road bike│silver) = 0.375.
B. No, because P(road bike) = 0.625 and P(road bike│silver) = 0.625.
C. Yes, because P(road bike) = 0.375 and P(road bike│silver) = 0.625.
D. Yes, because P(road bike) = 0.625 and P(road bike│silver) = 0.625.
Answer:
Answer D
Step-by-step explanation:
120 + 81+ 39=240 silver bikes
80+54+26= 160 black bikes
Total 200 + 135 + 65= 400
240+ 160=400
Answer:
yes, because P(road bike) = 0.625 and P(road bike | silver) = 0.625
Step-by-step explanation:
Two lines intersecting at a right angle
O form a line.
are parallel.
O are perpendicular.
o form a ray.
Answer:
C. perpendicular
Step-by-step explanation:
what is one-tenth of 0.90?
Answer:
0.09
Step-by-step explanation:
Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26
Answer:
d,e
Step-by-step explanation:
rational numbers are positive and negative whole numbers.
Answer:
d,e
Step-by-step explanation:
NEED HELP WILL MARK BRAINLIEST
The amount of money spent at Cherry Hill Mall continues to increase. The total in millions of dollars, can be estimated f(x) = 12(1.12)^{x}, where x is the number of years after the expansion in 2005. According to this model, how much money is being spent this year?
Answer:
$73,564,723.80
Step-by-step explanation:
"x is the number of years after the expansion in 2005"
This year is 2021.
2021 - 2005 = 16
x = 16
\( f(x) = 12(1.12)^{x} \)
\( f(16) = 12(1.12)^{16} \)
\( f(16) = 73.56 \)
Answer: $73,564,723.80
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Can you please help me
Answer:
1) -√9
2) √18
3) |4.5|
Step-by-step explanation:
-√9 = -3
√18 = 4.2426406871 = 4.2
|4.5| = 4.5
↑
Absolute value - Those two lines mean that any number, positive or negative, will be positive.
Hope this helps :)
What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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Where ya got 12 from ?
Answer:
12 is the number that comes after 11 and before 13. 12 represents the number between 11 and 13. 12 is a composite number.
Step-by-step explanation:
12 is the number that comes after 11 and before 13.
12 represents the number between 11 and 13. 12 is a composite number.
Question 23 options:
The sum of the measures of the exterior angles of a 105-gon is ___ degrees.
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any n-gon is 360°