Find the area.(please help)

Given:

The given function is:

[tex]y=-32x^2+90x+3[/tex]

To find:

The range of the given function.

Solution:

We have,

[tex]y=-32x^2+90x+3[/tex]

It is a quadratic function because the highest power of the variable x is 2.

Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex of the quadratic function is:

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

In the given function, [tex]a=-32,b=90,c=3[/tex].

[tex]\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-90}{-64}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{45}{32}[/tex]

The value of the given function at [tex]x=\dfrac{45}{32}[/tex] is:

[tex]y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3[/tex]

[tex]y=\dfrac{2121}{32}[/tex]

The vertex of the given downward parabola is [tex]\left(\dfrac{45}{32},\dfrac{2121}{32}\right)[/tex]. It means the maximum value of the function is [tex]y=\dfrac{2121}{32}[/tex]. So,

[tex]Range=\left\{y|y\leq \dfrac{2121}{32}\right\}[/tex]

[tex]Range=\left(-\infty, \dfrac{2121}{32}\right ][/tex]

Therefore, the range of the given function is [tex]\left (-\infty, \dfrac{2121}{32}\right ][/tex].

Answer:

78.5

Step-by-step explanation:

A=pi x r^2

A= 3.14 x 5 x 5

A=78.5

Answer:

y = 2x + 24

Step-by-step explanation:

Slope-intercept form equation => y = mx + b

m = slope = change in y / change in x

b = y-intercept

✔️using two pairs of values form the table, (-6, 12) and (-5, 14):

Slope (m) = (14 - 12)/(-5 -(-6))

m = 2/1

m = 2

✔️To find b, substitute (x, y) = (-6, 12) and m = 2 into y = mx + b.

12 = 2(-6) + b

12 = -12 + b

12 + 12 = b

24 = b

b = 24

✔️To write the equation, substitute m = 2 and b = 24 into y = mx + b:

y = 2x + 24

Answer:

40°, 140°, and 140°

Step-by-step explanation:

Answer:

Simplified : -4y^(2)-y-11

Step-by-step explanation:

My bad if its wrong hope this helps tho

Answer:

467 percent

Step-by-step explanation:

Answer:

366.67% increase

Step-by-step explanation:

Answer:

mike did i think im super sooooo sorry if im wrong

Step-by-step explanation:

Answer:

A=90

B=18

C=111

D=39

E=35

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

Simple probability is found by counting all the results which fit requirements and dividing by all possible results.

To find probability of two results in a row, multiply chance of first result by chance of second result.

Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.

There are 5 black marbles

There are 4 red marbles

There are always 20 marbles in all

5/20*4/20=1/4*1/5=1/20

By coincidence, the same as the chance of drawing the white marble in one draw.

Answer:

75:45

Step-by-step explanation:

3*15=45

5*15=45

Answer:

-2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math

Answer:

$46.25 ÷ $9

Step-by-step explanation:

Answer:

Combined together:

So

15≤x<10

Interval notation

Another way

10 is not included so open bracket

Answer:

[tex]m\angle ABC=60\textdegree[/tex]

Step-by-step explanation:

[tex]m\angle ABC=360-90-90-m\angle AOC\\=180-120\\=60\textdegree[/tex]

Answer:

True

Step-by-step explanation:

[tex]11^2=121\\12^2=144\\121<131<144[/tex]

Hence, [tex]\sqrt{131}[/tex] is in between 11 and 12

Answer:

oh i will what is that code of yours

Step-by-step explanation:

quv-xypc-xhm ←what is this

​

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:Cube  

Step-by-step explanation:

possibly a cube

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

Answer:

[tex]x + 4[/tex]

Step-by-step explanation:

The question have missing details.

Because, the question says she collected some cans "after picnic"; This means that she has some cans "before picnic"

So, we assume that she has x bags of can before the picnic.

[tex]After\ Picnic = 4[/tex]

So, the total number of bags collected is:

[tex]Total = Before + After\ Picnic[/tex]

[tex]Total = x + 4[/tex]

If x is 5, then she took 9 bags of can to the recycling center

If x is 2, then she took 6 bags of can to the recycling center

If x is 0, then she took 4 bags of can to the recycling center

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths

Answer:

Option A) 7 inches

Step-by-step explanation:

t=0

so d= -0.5(0)+7

so d= 7 inches

hope it helps

have a great day!!

Answer:

4.

Step-by-step explanation:

28 = 2*2*7

48 = 2*2*2*2*3

72= 2*2*2*3*3

So the HCF = 2*2 = 4.

Answer:

hcf stand's for

highest common factor

and must be prime numbers

so the answers 3

Answer:92.4

Step-by-step explanation:

4x+7x=132

10x=132

x=132/10

x=13.2

4x=4×13.2

=52.8

5x=7×13.2

=92.4

Answer:

Step-by-step explanation:

The nth term:  [tex]a_n=a_1+d(n-1)[/tex]

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            [tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]

Answer:

Step-by-step explanation:

Answer:

m=1 or m=-3

Step-by-step explanation:

when m=1,

(1+1)sq+1=5

4+1=5

5=5

True statement

when m=-3,

(-3+1)sq+1=5

(2)sq+1=5

4+1=5

5=5

True statement

Answer:

3 is the answer bc it make more sense