write a quadratic equation whose roots are -3 and 1/2

For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k). The vertex is found by (x, y).

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form.

It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

First of all, we used this vertex formula thing since it is visible that there are quadratic functions.

Otherwise, you had to use calculus to get critical points, then a second derivative of functions to find the character of critical points as minima or maxima or saddle, etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that the quadratic equation represents.

For the form

[tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)

Thus, for the obtained form, we get the coordinates of the vertex as:

[tex]h = -b/2a,, \\ k = c - a\times(b/2a)^2[/tex]

Thus, the coordinates of vertex of  [tex]y = ax^2 + bx + c[/tex]is:

[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]

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Answer:

[tex]\huge\boxed{\bf\: 3:4:2}[/tex]

Step-by-step explanation:

In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.

Now, let's divide the 3 numbers by 4.

[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]

This ratio cannot be further simplified as they don't have any common multiples except for 1.

So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

∠1 and ∠8 are alternate exterior angles which is when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are (their measures are) equal.

Simple terms: 1 and 8 are the same angle

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A. Hope this Helps! :)

Step-by-step explanation:

Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.

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The measure of the third angle in a triangle will be 112°.

Your information is incomplete. Therefore, an overview will be given.

Let's assume the the angles given in a triangle are 23° and 59°. The third angle will be:

= 180° - (23° + 59°)

= 180° - 82°

= 112°

It should be noted that a triangle has three angles.

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Answer:

6x+4 C

Step-by-step explanation:

Because the y-axis is +4

Answer:

4 movies because ďòê ánş vianna sausage says so i dont know im barely passing math myself

Yes..

Add 2 sides together and if it’s larger than the 3rd side it’s possible

6 + 3 = 9, which is larger than 5

3 + 5 =8 which is larger than 6

6 + 5 = 11 which is larger than 3

Answer:

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

so

6+3=9

6+5=11

3+5=8

yes it is possible

The percentage of 4c in the expression 0.2c is 2000%

The expression is given as:

0.2c

The percentage of 4c is then calculated as:

4c/0.2c

Evaluate the quotient

20

Express as percentage

2000%

Hence, the percentage of 4c in 0.2c is 2000%

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Answer: y=1/3x+2

Step-by-step explanation:

Answer:

336 pages per hour (pretty fast)

Step-by-step explanation:

It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)

Answer:

Step-by-step explanation:

Given rate is

Divide both numbers by 3/4 to get the unit rate per hour

hope this helps :)

............

Answer:

67600

Step-by-step explanation:

1300x52=67600

Answer:

$67,600

Step-by-step explanation:

1300 x 52 = 67600

If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph

We are given;

Distance travelled by Donna = 70 miles

Average Speed of Donna = 40 mph

Additional Distance travelled = 30 miles

Average speed for entire journey = 44 mph

We know that;

time = distance/speed

Thus

Total time = (70 + 30)/44

Total time = 100/44 h

Time 1 = 70/40 = 7/4 hr

Time 2 = 30/v

Thus;

30/v + 7/4 = 100/44

Multiply through by 44 to get;

1320/v = 100 - 77

v = 1320/23

v = 57.39 mph

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In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.

Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,

[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]

Thus, the experimental probability that the next car that comes in is red is 5/12.

The experimental probability that the next car that comes in is not red is,

[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]

Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

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Answer:

89

Step-by-step explanation:

8, 8, 12, 41, 64, 97

We can clearly see that our highest value is 97, and our lowest in 8.

Hey there!

ASSUMING….

4 * 3^c

= 4 * 3^2

= 4 * 3 * 3

= 12 * 3

≈ 12 + 12 + 12

≈ 24 + 12

= 36

Therefore, the answer should be: 36

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

easy :)

The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.

The area of a parallelogram = base × height of the parallelogram.

Given the following:

9 × height = 72

Height of parallelogram = 72/9

Height of parallelogram = 8 mm.

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Answer: 10 Howdy cupcakes

Step-by-step explanation:

   A percent divided by 100 becomes a decimal.

[tex]20\%\; / \;100 = 0.2[/tex]

   Now, we will multiply the total by 0.2 to find 20%.

[tex]50 * 0.2 = 10[/tex]

        You will be ordering 10 cupcakes.

Answer:

22.62 degrees

Step-by-step explanation:

Right triangle

  you can pick cosine or sine to calculate angle r

        sin r = opposite leg/ hypotenuse = 5/13

                arcsin(5/13) = 22.62 degrees

         cos r =  12/13  

                r = arccos(12/13) =  22.62 degrees

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

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Answer:

option C

Step-by-step explanation:

Answer:

$ 10 021 . 65

Step-by-step explanation:

The equation for continuous compounding is   e^(i * t)

   where i = decimal yearly  interest      t = years

   FV  = 5500 e^(.12 * 5) = 10 021 .65

Answer:   The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

Answer: 7/40x + 19

Step-by-step explanation:

---Distribute the negative sign

4/5x + 13 - 5/8x + 6

---Get common denominators on the fractions

32/40x + 13 - 25/40x + 6

---Combine like terms

(32/40x - 25/40x) + (13 + 6)

7/40x + 19

Answer: 7/40x + 19

Hope this helps!

Answer:

3520

Step-by-step explanation:

Because 3 feet are  equal to a yard and 1760 yards are in one mile

So.. just add 1760+1760 and thats the equivalent of 2 miles

Answer:

17 games

Step-by-step explanation:

There are 68 games in total. Assuming that the number of games watched are equally divided between 4 people, then each person watches 68/4 = 17 games.