Use the information provided to write the standard form equation of each parabola. (Plzzzz help me)

Drag each scenario to show whether the final result will be greater than the original

Hoochie [10]

A $20 decrease followed by a $20 increase - original value

A 75% decrease followed by a 50% increase - less than the original value

A 50% increase followed by a 33 1/3% decrease - greater than the original value

A 60% increase followed by a 40% decrease - greater than the original value

A 100% increase followed by a 33 1/3% decrease - greater than the original

7 0

3 years ago

(-2,0) And (a,3) <br> Slope 3/8

UkoKoshka [18]

Answer:

a= 6

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

3/8 = (3 - 0)/(a - (-2))

cross multiplying,

3(a + 2) = 3(8)

3a + 6 = 24

3a = 18

a = 18/3

a = 6

3 0

3 years ago

En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz

nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

= 180° - 72° - 64°

= 44°

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

= 180° - 90° - 72°

= 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

= 180° - 18° - 36°

= 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

= 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

= 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

= 180° - 14° - 54°

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

= 112° - 14°

= 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0

2 years ago

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing

photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

$H_{0}$ :p=0.20

$H_{a}$ :p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of specimens yield before the theoretical point ( $\frac{9}{40}=0.225$ )

p is the proportion assumed under null hypothesis. (0.20)

N is the sample size (40)

Using the numbers

z= $\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } }$ =0.3953

and the P-value is then P(z)≈0.3463

4 0

3 years ago

Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

kotykmax [81]

Answer: B. No

Step-by-step explanation:

Direct variation has the following form:

$y=kx$

Where the constant of variation is "k".

By definition, in direct variation, when the variable "x" changes, tha variable "y" changes in proportion to the variable "x".

As you can observe in the table, when the value of the variable "x" increase, the values of the variable "y" decrease, therefore we can conclude that it is not a direct variation.

Then the answer is the option B.

6 0

3 years ago