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3 years ago

Does the following equation, y= -x2 -10x +1 have a maximum or minimum. Explain

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

Your y= -x2 -10x +1 should be written as y = -x^2 -10x +1. This is a quadratic function. Because the coefficient (-1) of the x^2 term is negative, we know immediately that the graph (a parabola) opens down, and thus has a maximum.

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A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is considering how

Montano1993 [528]

Answer:

The triangle and trapezoid area formulas have One-half in them.

In the trapezoid formula, the bases are added.

Step-by-step explanation:

Topic: Plane Shapes

Basically, the requirement of the question is to compare area of shapes. The shapes are

Trapezoid
Triangle
Parallelogram
Rectangle

The Area of a Trapezoid is $(\frac{a + b}{2} )h$ where a and b are the bases of the trapezoid and h is the height

The Area of a Triangle is $\frac{bh}{2}$ where b and h are the base and the height of the triangle respectively

The Area of a Parallelogram is $b * h$ where b and h are the bases and the height of the parallelogram

The Area of a Rectangle is $l * b$ where l and b are the length and the breadth of the triangle respectively

Checking option a through e

A. The triangle and trapezoid area formulas have One-half in them.

True; Area of a Triangle is $\frac{bh}{2}$ while Area of a Trapezoid is $(\frac{a + b}{2} )h$

B. The parallelogram and rectangle formulas are both the same.

False; Area of a Parallelogram is $b * h$ while Area of a Rectangle is $l * b$

C. In the parallelogram formula, the bases are added.

False; The basis are not added

Area of a Parallelogram is $b * h$

D. In the trapezoid formula, the bases are added.

True; Area of a Trapezoid is $(\frac{a + b}{2} )h$

E. In the triangle formula, the sides are added, then multiplied by One-half.

False; Area of a Triangle is $\frac{bh}{2}$

4 0

4 years ago

Read 2 more answers

I need help to find the answer to 1 5/7 and 7/12 to change it to the reciprocal answer

Natasha_Volkova [10]

Just inverse the fraction and you will find the reciprocal:

The reciprocal of 15/7 is 7/15
The reciprocal of 7/12 is 12/7

3 0

4 years ago

The North Colony Trail at Royal Gorge, Colorado, is 18 miles long. Stacey has hiked four miles to a resting spot. She hikes the

never [62]

Answer:

Stacey is 16 miles far from the beginning of the trail.

Step-by-step explanation:

Given:

Stacey's total hike journey to NCT, Colorado = 18 miles

Distance covered by her to, a resting spot = 4 miles

We have to find:

How far from the beginning of the trail is Stacey $6$ hours after leaving the resting spot.

According to the question.

Distance remaining = $(18-4) = 14$ miles

Time taken = $6$ hours Speed maintained = $2$ mph

After leaving the resting spot she has covered a distance :

⇒ $Distance = speed\times time$

⇒ $Distance = 2\times 6$

⇒ $Distance = 12$ miles.

In $6$ hours she has covered $12$ miles and also she has covered $4$ miles before stopping here.

From the beginning she has covered :

⇒ $Total\ distance =(4+12)$

⇒ $Total\ distance = 16$ miles.

Stacey is 16 miles far from the beginning of the trail.

8 0

3 years ago

A blueprint for a house shows the height of the house to be inches. The actual house is feet tall. What is the unit rate in feet

Yuliya22 [10]

1 foot per 12 inches

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3 years ago

Find the SURFACE AREA of the

ahrayia [7]

Answer:

1571

Step-by-step explanation:

its 1570.8 but you have to round

7 0

2 years ago