The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.
Answers
Answer:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
Step-by-step explanation:
In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).
From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.
So, there are two ways in which we can build a quadratic equation:
Standard form:
[tex]y=ax^{2}+bx+c[/tex]
or
Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)
So in this case: h=0 and k=5, which simplifies our equation a lot:
[tex]y=a(x-0)^{2}+5[/tex]
[tex]y= ax^{2}+5[/tex]
So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:
[tex]0=a(7)^2+5[/tex]
and now we can solve for a:
[tex]-5=49a[/tex]
[tex]a=-\frac{5}{49}[/tex]
so this completes our equation:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
whose graph looks like the one in the attached picture.
Related Questions
Write an expression that represents the area of
the figure in square centimeters.
HELP ASAP
Answers
Answer:
its either 98 cm or 28 cm
Step-by-step explanation:
7 x 7 = 49 x 2 = 98 cm
14 x 2 = 28
A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?
Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.
Answers
Answer:
Step-by-step explanation:
Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.
What is the equation of the line that passes through the points (-4, 2) and (12, 6)?
Answers
Answer:
y=1/4x+3
Step-by-step explanation:
Please help!! I just need help with question 40!!
Answers
Answer:
a. 70%
b. 6 more times
c. subtract from 100% with percentages, subtract from 1 with decimals.
Step-by-step explanation:
a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26% 0.04 > 4%
Add all of the percentages together to get 70%
b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.
0.26 ÷ 0.04
26 ÷ 4
6
c. 14% + 26% + 40% + 4% = 84%
100% - 84%
16%
(do the same thing with decimals and pick your favorite method)
:)
col Additional Practice
2.6 APA
1 Question Help
O
You draw a rectangle with vertices at (-3.5,3), (3.5,3), (3.5. - 3), and (-3.5. - 3). What is the
perimeter and area of the rrectangle?
What is the perimeter and area of the rectangle
Answers
Answer:
P = 26 units
Area = 42 square units.
Step-by-step explanation:
Notice that the points are showing a rectangle with length with a horizontal segment on the coordinate plane that goes from -3.5 to 3.5 (7 units in length), and width a vertical segment from -3 to 3 (6 units in length).
Therefore the rectangle's perimeter (P) is:
P = 2 L + 2 W = 2* 7 + 2 * 6 = 14 + 12 = 26 units.
The area of the rectangle is given by:
Area = L * W = 7 * 6 = 42 square units.
What is the unit price of 12 gallons of gasoline that costs $39.48 ?
Answers
The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
How to determine the unit price?The given parameters are:
Gallons = 12
Cost = $39.48
The unit price is calculated as:
Unit = Cost/Gallon
So, we have:
Unit = $39.48/12
Divide
Unit = $3.29
Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
Read more about unit rates at:
https://brainly.com/question/19493296
#SPJ1
Can someone please help me with this question
Answers
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good
3
t: for t=
4
4
Your answer
Answers
Answer: If that's 44 then your answer is going to be 132 but if it is just 4 is going to be 12 if it is 4.4 then it's going to be 13.2
Step-by-step explanation:
44x3=132
4x3=12
4.4x3=13.2
Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP
Answers
Answer:
ways and answer are in paper
^^^^^^^
What is the measure of ∠C in the figure below
Answers
Answer:
C. 56°
Step-by-step explanation:
An isosceles triangle has two sides that are equal. ∆ABC has two equal sides. Thus, the angles opposite the two sides of an isosceles triangle are also congruent to each other.
<C and <A are congruent to each other.
m<A = 56°, therefore,
m<C = 56°
The perimeter of a triangle is
17
x
−
5
units. One side is
3
x
+
5
units and another is
8
x
−
3
units. How many units long is the third side?
Answers
Answer:
i did'nt understand the question
Step-by-step explanation:
sorry
5. The Spanish club sold churros as a fundraiser. The pretzels normally sold for $3.50, but near the end of the sale the price was reduced by 10%. What was the new price for a hot pretzel?
Answers
ummmmmmmmmmmmmmmmmmmmm so you can just say what box if you dont want to explain i just think its all 3 if them one i figured out was wrong but the others i cant tell and i also suck at math
Answers
Answer:
Table (4)
Step-by-step explanation:
If data in the given tables show the proportional relation then they will follow the rule,
y = kx
k = [tex]\frac{y}{x}[/tex]
where 'k' = proportionality constant
From table (1),
k = [tex]\frac{2}{1}[/tex] = 2
k = [tex]\frac{3}{2}=1.5[/tex]
But 2 ≠ 1.5
So the data in the table (1) is not proportional.
Table (2)
k = [tex]\frac{0}{2}=0[/tex]
k = [tex]\frac{2}{4}=0.5[/tex]
Therefore, data in the table is not proportional.
Table (3)
k = [tex]\frac{1}{0}[/tex] = Not defined
k = [tex]\frac{3}{2}=1.5[/tex]
Data is not proportional.
Table (4)
k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]
= 3
k = [tex]\frac{3}{1}=3[/tex]
3 = 3
Therefore, data given in table (4) represents the proportional relationship.
Kylie is 59.54 inches tall. Her friend Adam is 1.37 inch taller than she is. How tall is
Adam?
A 58.17 inches tall
B 60.85 inches tall
C 60.91 inches tall
D 70.35 inches tall
Answers
Which of the following is an example of a complex number that is not in the set of real numbers?
O-7
O 2+ V3
O 4 + 9
Ол
Answers
Answer:
C) 4+9i
Step-by-step explanation:
A complex number is represented as: [tex]a + bi[/tex].
Where: [tex]a \to[/tex] Real part and
[tex]bi \to[/tex] Imaginary part
From the given numbers, [tex]4 + 9i[/tex] is a complex number
The given numbers are:
[tex]-7[/tex]
[tex]2 + \sqrt 3[/tex]
[tex]4 + 9i[/tex]
[tex]\pi[/tex]
By comparing [tex]a + bi[/tex] with the given numbers;
We can conclude that: [tex]4 + 9i[/tex] is a complex number
Because it has a real part (4) and an imaginary part (9i)
Read more about complex numbers at:
https://brainly.com/question/19007885
The sum of 7 and the cube of a number.
Answers
Answer:
7+x3
Step-by-step explanation:
Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.
Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B
Answers
They all have different values for domain, and therefore are functions
Answer:
A if i'm not mistaking
Step-by-step explanation:
There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?
Answers
Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
what number is 386 more than the sum of 345 and 425
Answers
what is the value of the expression below (81^2)^1/8
Answers
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]
[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]
[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Answer:
c
Step-by-step explanation:
because I said so " But rearle you cant start a sentence with because"
ok then, The answer is C because I said so
Choose the equation of the graph shown below:
y = x - 11-3. y = Ix + 11-3
y = IX - 11 + 3
Answers
Answer:
A or number 1
Step-by-step explanation:
x-1 = -x
so we go this way <--
then we go down 3
so -3
y= lx-1l-3
I hope I'm correct!
Solve the system by substitution. y = 8x + 32 Y= -8x
Answers
do you need an explanation as well?
Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15
Answers
Answer:
x=−3±√5
Decimal Form:
x=−0.76393202…,−5.23606797
So D would be your answer
Step-by-step explanation:
Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.
Answers
Answer:
She covered 2.5 miles, she rode for 0.25 hours.
Step-by-step explanation:
0.25*10=2.5
a group of 5 friends goes to a show. Each ticket cost $9, and the friends share a popcorn that cost $6. Which shows the total cost
Answers
Answer:
The total cost is $51
Step-by-step explanation:
The answer is 51 because 5 times 9 is 45 and 45 plus 6 is 51
.
Answer:
the total cost is $51.00 dollars
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?
Answers
Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?
Answers
Answer:
54 times in 9 mins.
Step-by-step explanation:
divide 48/8 = 6
6 times 9 = 54
Which is the graph of f(x) = 2(3)x
Answers
What is the slope of a line represented by 3x-14y=28
Answers
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
In a recent survey of 79 heads of household, 46 said they did online banking on their cell phones. Find the standard error for the sample proportion of heads of household who do online banking on their cell phones. Enter your answer as a decimal rounded to three decimal places.
Answers
Answer:
[tex]SE_p = 0.055[/tex]
Step-by-step explanation:
Given
[tex]n = 79[/tex] --- Heads
Proportion, p = 46 out of 79
Required
Determine the standard error for sample proportion (SEp)
This is calculated using the following formula
[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this case:
[tex]p = \frac{46}{79}[/tex]
[tex]p = 0.5823[/tex]
Substitute values for p and n in:
[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]SE_p = \sqrt{\frac{0.5823 * (1-0.5823)}{79}}[/tex]
[tex]SE_p = \sqrt{\frac{0.5823 * 0.4177}{79}}[/tex]
[tex]SE_p = \sqrt{\frac{0.24322671}{79}}[/tex]
[tex]SE_p = \sqrt{0.00307881911}[/tex]
[tex]SE_p = 0.0554871076[/tex]
[tex]SE_p = 0.055[/tex] ---- Approximated