URGENT I HAVE ALMOST 0 TIME LEFT I NEED LAST MINUTE HELP
A parabola has zeros of 7 and 1 and passes through the point (3,4). Determine the equation of the parabola.

Answers

Answer 1

Answer:

The zeros are the points where the parabola intercepts the x-axis.

[tex]\sf x = 7 \implies x - 7 = 0[/tex]

[tex]\sf x = 1 \implies x - 1 = 0[/tex]

[tex]\sf \implies y = a(x - 7)(x - 1)[/tex]  where a is some constant

If the parabola passes through point (3, 4) then:

[tex]\sf \implies a(3 - 7)(3 - 1) = 4[/tex]

[tex]\sf \implies a(-4)(2) = 4[/tex]

[tex]\sf \implies -8a = 4[/tex]

[tex]\sf \implies a = -\dfrac12[/tex]

So the equation of the parabola is:

[tex]\sf y = -\dfrac12(x - 7)(x - 1)[/tex]

Or in standard form:

[tex]\sf y = -\dfrac12x^2+4x-\dfrac72[/tex]

Answer 2

Spot the quadratic equation:-

(x-1)(x-7)x(x-7)-1(x-7)x²-7x-x+7x²-8x+7

Find a through (3,4)

a(x²-8x+7)=4a(9-24+7)=4a(-8)=4a=-1/2

Equation:-

y=-1/2(x-7)(x-1)

Related Questions



Carlos has 8 dollars and 48 cents. Alissa has 4 dollars and 14 cents. How much money does Carlos need
To give Alissa so that each of them has the same amount of money?

Answers

Answer:

.2 dollars and 17 cents

Step-by-step explanation:

Carlos has 8dollars and 48 cents --->8+0.48=8.48

Alissa has 4dollars and 14 cents--->4+0.14=4.14 let

x--->amount of money that Carlos needs to give Alissa

The linear equation that represents this situation is 8.48-x=4.14+x

solve for x

2x=8.48-4.14

2x=4.34

x=2.17

therefore,

the amount of money is 2 dollars and 17 cents.

thank you

by Angel osei

By using math to identify goals and to reach those goals quickly and efficiently, individuals display what skill?​

Answers

Answer:

multiple tasking them right

Answer:

results-driven

Step-by-step explanation:

Express the repeating decimal 0.3 as a fraction

Answers

The answer is 1/3.

If you're still not sure (and math teachers will appreciate you doing this), you can check. Divide 1 by 3 and you will get 0.333333333333...

I hope this answers your question.

which of the following are solutions​

Answers

Answer:

-5 and 9

Step-by-step explanation:

To find the solutions we will factor the equation.

First we take out a 2:

[tex]2(x^2-4x-45)[/tex]

Then we can factor again:

[tex]2(x+5)(x-9)[/tex]

This provides us with the answer of:

[tex]x+5=0[/tex]

and

[tex]x-9=0[/tex]

Hence the solutions of -5 and 9.

Please answer the questions (for 50 points) Also please show work on the answer

Answers

Answer:

144 sq cm

Step-by-step explanation:

The base is a triangle. Area of a triangle is:

A = 1/2 b • h

A = 1/2(4)•3

A = 6

There are 2 of these bases.

Area of 2 bases= 12.

There are three rectangular sides. Area of a rectangle is:

A = l × w (or b•h)

A = 5 × 11 = 55

A = 3 × 11 = 33

A = 4 × 11 = 44

Add up three rectangular faces and two bases for Total Surface Area:

12 + 55 + 33 + 44

= 144 sq cm

Answer:

144 cm ²

Step-by-step explanation:

The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.

Surface area of a right triangular prism formula

Surface area = (S₁ + S₂ + S₃)L + bh

where:

S₁, S₂ and S₃ are the side lengths of the triangleL is the length of the prismb is the length of the base of the triangleh is the height of the triangle

⇒ Surface area = (3 + 4 + 5)11 + 4 × 3

                          = (12)11 + 12

                          = 132 + 12

                          = 144 cm²

Solve the proportion.
3x/10=3/2

Answers

hello!

In order to solve a proportion, you should cross-multiply:-

[tex]\bf{\displaystyle\frac{3x}{10} =\frac{3}{2}}[/tex]

Multiply 3x times 2 and 10 times 3:-

[tex]\bf{6x=30}[/tex]

Divide both sides by 6:-

[tex]\boxed{\bf{x=5}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

A rectangle is graphed on a coordinate plane. The
coordinates for two of the vertices of the rectangle are
(-5, 8) and (-5, -6). What is the distance between
the two vertices?

Answers

The two vertices (-5, 8) and (-5, -6) of the rectangle have the same x-coordinates

The distance between the two vertices is 14 units

How to determine the distance between the two vertices?

The vertices are given as:

(-5, 8) and (-5, -6)

The distance between the two vertices is calculated using:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

So, we have:

d = √[(-5 + 5)^2 + (8 + 6)^2]

Evaluate the sum

d = √196

Evaluate the square root

d = 14

Hence, the distance between the two vertices is 14 units

Read more about distance at:

https://brainly.com/question/7243416

Answer: 14

Step-by-step explanation:

A car is travelling down a highway away from its starting location with a distance function with d(t) = 8(t? – 6t2 +12t) where t is in hours and d is in kilometres.

a. What is the average velocity over [1, 3]?
(5 marks]​

Answers

The average velocity is the rate of the distance function over time

The average velocity over the interval [1, 3] is 8 kilometers per hour

How to determine the average velocity?

The distance function is given as:

d(t) = 8(t³ - 6t² + 12t)

The interval is given as: [1,3]

Calculate d(1) and d(3)

d(3) = 8(3³ - 6 * 3² + 12 * 3)

Evaluate

d(3) = 72

d(1) = 8(1³ - 6 * 1² + 12 * 1)

Evaluate

d(1) = 56

The average velocity (v) is the calculated as:

v = (d(3) - d(1))/(3 - 1)

Substitute known values

v = (72 - 56)/(3 - 1)

Evaluate

v = 8

Hence, the average velocity over [1, 3] is 8 kilometers per hour

Read more about velocity at:

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a triangle banner is to be made according to the specifications in the figure shown with dimensions given in inches. WOODEN STICKS WILL BE USED TO OUTLINE THE PERIMETER of the banner in order to attach the interior material. How many inches of wooden sticks will be required?

Answers

Applying the Pythagorean theorem, the amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

What is the Pythagroean Theorem?

The Pythagorean theorem is used to find a side of a right triangle, and it states that if c is the hypotenuse and a and b are the other legs, therefore: c² = a² + b².

Find the altitude/height of the triangle using the Pythagorean theorem:

height = √(13² - 5²)

height = 12

Also, use the Pythagorean theorem to find the missing side (part of the longest side of the main triangle):

missing side = √(15² - 12²) = 9

Amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

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A student wants to interview other students about their favorite sport. The student interviews every fifth student who enters the school in the morning. Is this a random sample or a biased sample?


A
Random sample

B
Biased sample

Answers

Answer:

Biased

Step-by-step explanation:

11
12
10
7
8
6
5
29 and 22
23 and 22
26 and 23
21 and 27
Submit
Work it out

Answers

Answer: Angle 3 and Angle 2

Step-by-step explanation:

The angles form a linear pair, which means they are supplementary.

A rock is dropped from the top of a building and hits the ground at a velocity of
–72ft/sec. If the acceleration due to gravity is – 32ft /sec², what is the height of the
building?

Answers

Answer:

81 [ft].

Step-by-step explanation:

1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;

2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:

[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]

3) if g=32, t=9/4, then the required height is:

[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]

The height of the building comes to be 81 feet.

Initial velocity u= 0 feet/sec

Final velocity v= 72 feet/sec

The acceleration due to gravity g =32ft /sec²

Height of the building h= suppose h

What is the equation of motion?

The equation of a motion is:

[tex]v^{2} =u^{2} +2gh[/tex]

Where u and v are the initial and final velocities.

[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]

So, the height of the building = 81 feet.

Therefore, the height of the building comes to be 81 feet.

To get more about motion visit:

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Find the distance between the two points in simplest radical form
(6,-4) and (1,-6)

Answers

Answer
[tex]\sqrt29[/tex]

Step-by-step explanation:

1. Write the distance formula:

[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]

2. Substitute

Substitue (6, -4) and (1, -6) into

[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]

[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]

3. Calculate

[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]

[tex]\sqrt(-5) ^{2} + (-2)^{2}[/tex]

[tex]\sqrt5 ^{2} + 2^{2}[/tex]

[tex]\sqrt25 + 4[/tex]

[tex]\sqrt29[/tex]

Question 5 of 10
Which of the following is most likely the next step in the series?

Answers

Answer:

option A

Step-by-step explanation:

Answer os option a

Simplify the expression with nested parentheses.
4 30+ 26+6 −33

Answers

Answer:

not sure if the 4 is seperate but if it is then (30+26)+(6-33)

Step-by-step explanation:

I WILL GIVE BRAINLYEST
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q

Answers

Answer:

See below

Step-by-step explanation:

Given points P and Q have same x-coordinate but different y- coordinates.

The distance between P and Q is the difference of y- coordinates:

PQ = 4 - (-4) = 8 units = 8 cm

The area is 64 cm², it means the adjacent sides are

PS = QR = 64/8 = 8 cm

a)

If the points R and S are to the left, their coordinates are

S = (-1 - 8, 4- 0) = (- 9, 4)R = (-1 - 8, - 4 - 0) = (- 9, -4)

b)

If the points R and S are to the right, their coordinates are

S = (-1 + 8, 4 + 0) = (7, 4)R = (-1 + 8, - 4 + 0) = (7, -4)

Answer:

Points R and S are to the left of Points P and Q

R = (-9, 4)

S = (-9, -4)

Points R and S are to the right of Points P and Q

R = (7, 4)

S = (7, -4)

Step-by-step explanation:

Given coordinates:

P = (-1, 4)Q = (-1, -4)

Points P and Q have the same x-value.

The vertical distance between these two points is:

[tex]\begin{aligned}\implies \sf y_P-y_Q & =\sf 4-(-4)\\ & =\sf 4+4\\ & =\sf 8\:units \\ & =\sf 8\:cm\end{aligned}[/tex]

Area of a rectangle = width × length

If the area of the rectangle PQRS is 64 cm² then:

[tex]\begin{aligned} \implies \sf 64 & = \sf width \times 8\\\implies \sf width & = \sf \dfrac{64}{8}\\\implies \sf width& = \sf 8 \: cm \end{aligned}[/tex]

This means that the y-values of points R and S will be the same as points P and Q, but the x-values will either be 8 less or 8 more.

Points R and S are to the left of Points P and Q

R = (-1 - 8, 4) = (-9, 4)

S = (-1 - 8, -4) = (-9, -4)

Points R and S are to the right of Points P and Q

R = (-1 + 8, 4) = (7, 4)

S = (-1 + 8, -4) = (7, -4)

what’s the height of the cylinder? Is it 6? Or do i have to find it with the 17. Is it 10?
PLS HELP

Answers

Answer:

Cylinder height = 10

Semi-circle height = 3

Cone height = 4

Step-by-step explanation:

The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:

Diameter, D = 6

Radius, r = 3

Slant height of cone, c = 5

To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:

CONE (see image attached)

a² + b² = c²

3² + h² = 5²

h² = 25 - 9

h = √16

h = 4

SEMI-CIRCLE

h = radius

h = 3

CYLINDER

Cylinder height = total h - semi-circle h - cone h

h = 17 - 3 - 4

h = 10

I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!

I would like some help

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

The y-intercept of the graph is at (0, 4) so in the equation of the line   (y = mx + b), b = 4 [But all the options have that, so we have to evaluate further]The slope of the line can be calculated by where its next point on the graph isA point is (3, 2)Slope, m = 2 - 4 / 3- 0 = -2/3Equation of the line : y = -2/3x + 4

Which values are in the solution set of the compound inequality –8 < 3x + 7 ≤ 10? Select three options. –15 –5 –3 0 1

Answers

Answer:

Your answers: -5, 0, 1

Step-by-step explanation:

–8 < 3x + 7 ≤ 10 That is the original compount inequality given.

We need to solve it in order to get an easy option.

-15, -5, -3, 0, 1 are the options.

_________________________________________________

Steps to solve:

–8 < 3x + 7 ≤ 10

Subtract 7 from both sides

–8 < 3x ≤ 10 - 7

Now do 10-7

–8 < 3x ≤ 3

Do 3x divided by 3

–8 < x ≤ 1

________________________________________________________

Evaluation and Answer Explanation:

–8 < x ≤ 1

That is your inequality statement.

The inequality statement states that "x" is greater than -8 but less than or equal to 1.

We can automatically choose 0 and 1 because 0 is greater than -8 and less than or equal to 1.

1 is correct because it is greater than -8 and less than or equal to 1

Now, there are two answers remaining: -15; -5.

Let's try -15.

-15 isn't greater than -8 but is less than 1. This is incorrect because it follows one inequality but doesn't follow both.

**Rule: the bigger you go on the negatives like -20 or -99 your numbers get smaller. If you go more towards the 0 like -1, -5, -3 your numbers get bigger.

-5 works because it is greater than -8 and less than or equal to 1.

Your answers: -5, 0, 1

To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.

Part A
Question
How many different orders of top-three finishers are possible?

Drag the tiles to the correct locations on the equation. Not all tiles will be used.

Answers

Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:

[tex]A_3 = 3! = 6[/tex]

More can be learned about the arrangements formula at https://brainly.com/question/25925367

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Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.

Answers

Answer:

18.85 years

Step-by-step explanation:

Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]

[tex]2.8=1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=4t[/tex]

[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]

[tex]18.84876253=t[/tex]

It would take about 18.85 years in order for you to accumulate at least $1400.

PLEASE HELP PLEASE PLEASE HELP PLEASE

Answers

Answer:

True

Step-by-step explanation:

like pirates, the stars were their navagation

A circle has a diameter of
16".
What is the approximate
Circumference? What is the approximate area?

Answers

Step-by-step explanation:

to calculate circumference:

[tex]2\pi \: r[/tex]

if the diameter is 16 then the radius would be 8.

[tex]2\pi \:r \\ = 2\pi(8) \\ = 16\pi \\ =Rationalize(50.26548245744) \\circumference = 50.27[/tex]

to calculate the area of a circle:

[tex]\pi {r}^{2} \\ = \pi( {8})^{2} \\ = Rationalize(201.06192982975) \\ area = 201.06 \: ^{2} [/tex]

3) Write the inequality that
represents "owing $26.00 is
better than owing $147.00.”
6.NS.7b

Answers

Answer:

See below

Step-by-step explanation:

Owing represent a negative balance.

So the inequality for this case is:

- 26.00 > - 147.00

The word owing is given which simply denotes to negative transaction

So here the inequality is

-26.00>-147.00

Or

-147.00<-26.00

Factor out the greatest common factor 45d^3-18d^2

Answers

Answer:

9d^2(5d−2)

Step-by-step explanation:

convert [tex]\sqrt3 + i[/tex] to polar form

Answers

[tex]a~~\pm~~bi\implies r[\cos(\theta ) \pm i\sin(\theta )] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt{3}~~ + ~~i\implies \stackrel{x}{\sqrt{3}}~~ + ~~\stackrel{y}{1} i\qquad \qquad \begin{cases} r=\sqrt{x^2+y^2}\\\\ \theta =\tan^{-1}\left( \frac{y}{x} \right) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]r=\sqrt{(\sqrt{3})^2+(1)^2}\implies r=\sqrt{3+1}\implies r=2 \\\\\\ \theta =\tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies \theta =\cfrac{\pi }{6} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 2\left[\cos\left( \frac{\pi }{6} \right)~~ + ~~i\sin\left( \frac{\pi }{6} \right) \right]~\hfill[/tex]

Check the picture below.

I think the answer is 2(cos(π6)+isin(π6))

rom the sample space S=​{1, ​2, 3,​ 4,..., 15} a single number is to be selected at random. Given the following​ events, find the indicated probability. ​A: The selected number is even. ​B: The selected number is a multiple of 4. ​C: The selected number is a prime number. ​P(C∣A​)

Answers

The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively

What is Probability?

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the following set

S=​{1, ​2, 3,​ 4,..., 15}

n(S) = 15

If the selected number is even

E = {2, 4, 6, 8, 10, 12, 14}

n(E) = 7

Pr(selecting even number) = n(E)/n(S)

Pr(selecting even number) = 7/15

If the selected number is a multiple of 4

E = {4, 8, 12}

n(E) = 3

Pr(multiple of 4) = n(E)/n(S)

Pr(multiple of 4) = 3/15 = 1/5

If the selected number is a prime number

E = {2, 3, 5, 7, 11, 13}

n(E) = 6

Pr(prime number) = n(E)/n(S)

Pr(prime number) = 6/15 = 2/5

Learn more on probability here: https://brainly.com/question/25870256

Parametric Equations
1.
Anytown High School is planning a play. The script calls for two characters to meet on stage.
Lauren starts at the point (0 feet, 6 feet) and travels horizontally at a rate of 1 foot per second.
Alex starts at the point (4 feet, 0 feet) and travels vertically at a rate of 2 feet per second. If
Alex and Lauren start wa lking at the same time, will they meet?

Answers

Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.

How do Alex and Lauren position will change?

Lauren:

Initial position: 0,6Second 1: 1,6Second 2: 2,6Second 3: 3,6Second 4: 4,6

Alex:

Initial position: 4,0Second 1: 4,2Second 2: 4,4Second 3: 4,6Second 4: 4,8

Do they meet?

Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.

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Find the Mean Absolute Deviation: {6, 6, 3, 4, 4}​

Answers

Answer:

To find the mean absolute deviation take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

6,6,3,4,4 - Mean Absolute Deviation: 1.12

Pls help I cant figure it out ;-;

Answers

Answer:

coke red

Step-by-step explanation:

correct me if im wrong

Ok so I even looked it up and it looked like it was coke so coke I guess
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