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2 years ago

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following

Mathematics

1 answer:

gregori [183]2 years ago

8 0

Answer:

(1/4, 5 7/8)

Step-by-step explanation:

The vertex is the extreme point of the graph. Here, it is a minimum.

For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)

The graphing calculator in the attachment shows the vertex is ...

(0.25, 5.875) = (1/4, 5 7/8)

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What is the slope of 1/7 ?

krok68 [10]

An equation typically has a slope. Since there is no equation given, I am assuming that 1/7 is the slope:)

1/7 simplified into decimal form is is 0.1428!

5 0

3 years ago

What is the equation in point -slope form of a line that passes trough the points (3,-5) and (-8,4)

Ilia_Sergeevich [38]

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

8 0

3 years ago

Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She

ella [17]

Number 2 is the correct answer!
have a nice day!!

7 0

3 years ago

Read 2 more answers

You invested $26,000 in two accounts paying 2% and 3% annual interest, respectively. If the total interest earned for the year

mihalych1998 [28]

Answer:

You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?

Step-by-step explanation:

let x=amt invested at 3% rate of interest.

22000-x=amt invested at 5% rate of interest.

.03x+.05(22000-x)=980

.03x+1100-.05x=980

.02x=120

x=6000

22000-x=16000

amt invested at 3% rate of interest=$6,000

amt invested at 5% rate of interest=$16,000

<h2><em><u>Hope iit help you mark as Brainlist</u></em></h2>

7 0

3 years ago

The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu

amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0

3 years ago