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2 years ago

What is the maximum y-value for f(x)= -4(x-6)^2 + 3

Mathematics

1 answer:

vaieri [72.5K]2 years ago

3 0

I think the answer is -4x^2+48x-141. Please double check my work.

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Which is a parallelogram with four congruent sides whose diagonals bisect each other and intersect at four right angles?

Charra [1.4K]

Answer:

I believe that the answer is B. Rhombus.

Step-by-step explanation:

A rhombus has the properties of a parallelogram and the diagonals intersect at right angles.

Hope this helps!

3 0

2 years ago

Read 2 more answers

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

2 years ago

Integrated mathematics 2. need help with chapter 5 test please

Pani-rosa [81]

Answer:

1/4

Step-by-step explanation:

$\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }$

$\text{which contains 52 cards. There are 13 diamonds in a pack.}$

$\text{Probability of an event:}$

$\text{ Number of favorable outcomes / Total number of outcomes}$

$\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.$

$\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}$ .

8 0

2 years ago

A rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet

Arisa [49]

Answer: 54 square feet

Step-by-step explanation:

To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length

Since we know length and width is x=12 just substitute so

15+15+12+12=54 so 54 is the perimeter

5 0

2 years ago

Do question a,b,c,d plz

julsineya [31]

A) 13.25
B) 164.64
C) 57.1
D) 145173.954289 or 381.0172

A good calculator website is https://www.cymath.com/

4 0

3 years ago