find the equation (in terms of x) of the line through the points (-2,1) and(2,9)
Y=

[tex]\text{A quadratic function is in the form of } ~ f(x)=ax^2 +bx+c.\\\\\\y=x+5 ~ \text{is linear so it is not in a form of quadratic function.}[/tex]

Answer:

There are 2 options:

Step-by-step explanation:

That's a rectangular piece, therefore let's consider the width to be x and the length to be y.

A = width * length

1) A = x * y = 1,984 cm^2

P = 2 * (width) + 2 * (length)

2) P = 2x + 2y = 188 cm

Isolate x or y in one of the equations.

xy = 1,984 cm^2

y = 1,984 cm^2 / x

Now plug it in the second equation.

2x + 2y = 188 cm

2x + 2 * (1,984 / x) = 188

Now we have only one variable. Now just solve it alegebraically.

2x + (3,968 / x) = 188

Multiply both sides by x in order to get rid of the fraction.

[tex]2x^{2}[/tex] + 3968 = 188 x

Substract both sides by 188 x

2x^2 + 3968 - 188x = 0

Now divide by 2 to make the equation simpler.

x^2 - 94x + 1984 = 0

use the quadratic formula:

[tex]\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32[/tex]    

  [tex]x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

x is either 62 or 32.

let's find y:

y = 1,984 / x

y = 1,984 / 62 = 32

y = 1,984 / 32 = 62

There are 2 options:

Answer:

D: 2t

Step-by-step explanation:

a coefficient next to a variable is an automatic multiplication equation

The solution is Option D.

The number of cups of diced onions A to the number of cups of chopped tomatoes t is represented by the equation A = 2t

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = total number of cups of diced onions

Let the total number of cups of chopped tomatoes be = t

Now , the  recipe requires twice as many cups of chopped tomatoes as diced onions

Substituting the values in the equation , we get

A = 2t

where A = number of cups of diced onions

t = number of cups of chopped tomatoes

Therefore , the value of A is 2t

Hence ,

The equation will be A = 2t where t is the number of cups of  tomatoes

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Answer:

help mee

Step-by-step explanation:

i neddd heplp with my mathh thankyou

Answer:

7/16, 21/48, 28/64

Step-by-step explanation:

Hope this helps

go into settings and click on subscription

Answer:13.1

Step-by-step explanation:

Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]

Answer:

B

Step-by-step explanation:

Answer:

The other personis wrong its answer A: a rotation and a dilation.

Step-by-step explanation:

I mean its kind of self explanatory but i hope it helps.

i got a 100% on my quiz with this question btw.

Answer:

4 5/6

Step-by-step explanation:

10 1/2 - 5 2/3

5 3/6- 4/6

4 9/6-4/6

4 5/6

Answer:

6x+50=92

Step-by-step explanation:

The x is for how much the classes cost plus the amount they charged her for the gear.

Answer:

D

Step-by-step explanation:

IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY

so I'm pretty sure u the arch equals twice the angle

so pi/2*2 = pi so D

hope it helppsss

trying not to dieT-T

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

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Answer:

$2821.50

Step-by-step explanation:

value = 2700 (deposit) x 0.003 (rate) x 15 (time) + 2700

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 0.3\%\to \frac{0.3}{100}\dotfill &0.003\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2700[1+(0.003)(15)]\implies A=2700(1.045)\implies A=2821.5[/tex]

Answer:

[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].

Step-by-step explanation:

Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:

[tex]y - (-1/2) = 3\, (x - 2)[/tex].

Simplify to obtain:

[tex]y + (1/2) = 3\, (x - 2)[/tex].

Using linear function concepts, it is found that the correct statements are given by:

1. The slope is positive.

3. every additional hat produced results in a cost increase of $.60.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

Hence statements 1 and 3 are correct.

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Answer:

A. The slope is positive.

C. every additional hat produced results in a cost increase of $.60.Step-by-step explanation:

E. Before producing any hats, the manufacturing costs are about $100.00.

Answer:

89

Step-by-step explanation:

Based on the clues given, Meg's mailbox number is equal to 89.

The clues adopted by Meg.

In this scenario, the three clues that were adopted by Meg include:

The number is greater than 40.

The number is NOT on a red mailbox.

The number has more ones than tens.

From the image, the numbers that are greater than 40 include:

Green Mail box = 60.

Red Mail Box = 58.

Blue Mail Box = 89.

Red Mail Box = 73.

From the image, the number that is not on a red mailbox are:

Green Mail box = 60.

Blue Mail Box = 89.

From the image, the number that has more ones than tens is:

Blue Mail Box = 89.

By using place value, 8 represents tens while 9 represents ones (unit). Therefore, Meg's mailbox number is equal to 89.

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Answer:  122 cm squared  (aprox)

Step-by-step explanation:

Area circle            pi* 10 squared   = 314 cm squared

Area rectangle  12x16 = 192 cm squared

                         314-192 = 122

Hello!

Let's simplify the expression

6-2x+5+4x

Combine like terms:

6+5-2x+4x

11+2x

And that's the final answer, because 11 and 2x are not like terms (and that's Tyler's error. He shouldn't have combined 11 and 2x.

This is the correct way to simplify:

6+5-2x+4x

11+2x

Hope everything is clear.

Let me know if you have any questions!

#NeverGiveUp

:-)

Answer: She would have to visit the movie theater 10 times.

Step-by-step explanation:

Step-by-step explanation:

I am not sure what the actual question is.

the general function for the amount of gathered reward points p with v visits to the theater is

p(v) = 14.5×v + 40 (40 starting points, 14.5 points per visit)

to know how many visits are needed for a certain amount of points (185) we need to solve that equation for v :

185 = 14.5×v + 40

145 = 14.5×v

v = 145/14.5 = 10

so, she needs at least 10 visits to gather the desired 185 points for a free ticket.

but that applies only to the first free ticket.

after that the function behavior kind of changes, because we have no more starting points :

so to get 2×185 = 370 points for 2 free tickets she will need

370 = 14.5×v + 40

330 = 14.5×v

v = 330/14.5 = 22.75862069...

we need to round up to the next whole number (because there can be no "part-visits").

so, she will need 23 visits for 2 free tickets (that means 13 more visits for the second free ticket).

Answer:

2 patients had more than 5 cavities.

step-by-step explanation:

Here cavities > 5

so only 2 patients had more than 5 cavities also as had total 7 cavities.

Answer:

2 patients had more than 5 cavities

Step-by-step explanation:

Each dot represents a different patient.

"More than 5" means numbers greater than 5 (so from 6 onwards).

From inspection of the dot plot, there are 2 dots above all the numbers that are greater than 5.

Therefore, there are 2 patients who had more than 5 cavities.

**see annotated dot plot**

The area shaded with a pink rectangle is "more than 5 cavities"

The amount of water that the tank will contain at 6:10 PM that day is 4174 L.

The conversion rate of a physical quantity is the method by which a unit of measurement is changed from one process to another by following a standard conversion rate and dimensional analysis.

From the information given:

The difference in the water in the tank within these two periods is:

= 22917 L - 8077 L

= 14840 L

In one minute, the amount of Liter is:

= 14840/160

= 92.75 Liter/minute

Similarly, between 6:10 pm and 5:25 pm, there are 45 minutes difference.

Therefore, the amount of water that the tank will contain at 6:10 PM that

day is;
= 45 minutes × 92.75 Liter/minute

= 4174 Liters

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Answer:

See below ↓

Step-by-step explanation:

A) The Western Beach width decreases with increase in time whereas the Dune Beach width increases with increase in time.

B) Between Year 11 and Year 12

C) Find out the exact change in width per year for both beaches and plot them lines of change on a graph or as equations. Find where they intersect on the graph or solve the pair of equations to find out when they will both have the same width.

Answer:

Step-by-step explanation:

Do you still need help?

Answer:

  a. positive

  b. negative

  c. zero

  d. negative

Step-by-step explanation:

You want a description of the sign of the slope of a graph of ...

The slope of a graph is the "rise" divided by the "run." Generally, we choose the direction of "run" to be to the right, so the "rise" will be positive when the graph shows an increasing value, and it will be negative when the graph shows a decreasing value. When the rise is zero (the value is neither increasing nor decreasing), the slope is zero.

A graph of the volume of water in a filling tub will show it starts at some low value and increases over time. Generally such a graph will have volume on the vertical axis, and time on the horizontal axis. Since the volume is increasing, the slope is positive.

As a hot drink cools, its temperature decreases. The graph of temperature will generally be drawn with temperature on the vertical axis, and time on the horizontal axis. Since the temperature is decreasing, the slope will be negative.

We presume there is no process going on that is changing the number of light bulbs in the string of lights, so the value is constant. It is neither increasing nor decreasing, so the slope of its graph will be zero.

If we presume your cell phone is not connected to a charger while it is streaming video for you, then we can assume the power in the battery is decreasing. The slope of the graph of battery power will be negative.

(If the phone is connected to a charger, the slope may be zero or positive, depending on the power output of the charger. One of my phone chargers is "low power," so the battery power does not increase unless the phone is turned off (not playing video).)

Answer:

14) B. 9

15) C. (7 x 3)cm

Step-by-step explanation:

14) The area of of parallelogram ABCD is 63 and the altitude is 7

divide 63 by 7 = 9

15) The length of OC is twice the length of EO so CE = 1(7) + 2(7) = 3(7)

Answer:

14. B

15. C

Step-by-step explanation:

Question 14

Area of a parallelogram = base × altitude

Given:

Substituting the given values into the formula and solve for AB:

⇒ Area = base × altitude

⇒ 63 = AB × 7

[tex]\sf \implies AB=\dfrac{63}{7}[/tex]

⇒ AB = 9cm

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Question 15

Median:  the line segment from the vertex to the midpoint of the opposite side.

Median Theorem:  the medians of a triangle intersect at a point called the centroid.  The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

Therefore,

[tex]\sf CO=\dfrac23CE \implies EO=\dfrac13CE[/tex]

Given:

Substituting the given values into the formula and solve for CE:

[tex]\sf \implies EO=\dfrac13CE[/tex]

[tex]\sf \implies 7=\dfrac13CE[/tex]

⇒ CE = (7 x 3) cm

Answer:

I would say 120 but that could be also be wrong but ill go with 120