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2 years ago

Will mark brainliest, worth 60 points

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

6 0

21 is c
22 is b
23 is a

Ostrovityanka [42]2 years ago

3 0

Answer:

21 is option 3

22 is option 3

23 is option 1

Step-by-step explanation:

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Beth wants to plant a garden at the back of her house. She has 32m of fencing. The area that can be enclosed is modelled by the

Maksim231197 [3]

Answer:

The maximum area that can be obtained by the garden is 128 meters squared.

Step-by-step explanation:

A represents area and we want to know the maximum.

$A(x)=-2x^2+32x$ is a parabola. To find the maximum of a parabola, you need to find it's vertex. The y-coordinate of the vertex will give us the maximum area.

To do this we will need to first find the x-coordinate of our vertex.

$x=\frac{-b}{2a}{/tex] will give us the x-coordinate of the vertex.Compare [tex]-2x^2+32x$ to $ax^2+bx+c$ then $a=-2,b=32,c=0[tex].So the x-coordinate is [tex]\frac{-(32)}{2(-2)}=\frac{-32}{-4}=8$ .

To find the y that corresponds use the equation that relates y and x.

$y=-2x^2+32x$

$y=-2(8)^2+32(8)$

$y=-2(64)+32(8)$

$y=-128+256$

$y=128$

The maximum area that can be obtained by the garden is 128 meters squared.

8 0

3 years ago

Need Help ASAP!!

Aleksandr-060686 [28]

Answer:

$1480.24

Step-by-step explanation:

This will be solved by the formula:

$FV=I(1+r)^t$

Where

FV is the future value (what we are looking for)

I is the initial amount (which is $1000)

r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)

t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)

<em>plugging the info into the formula we will get our answer.</em>