An enclosed area is designed using one existing wall, and 72m of fence material. What is the maximum area of the enclosure?

Answer:

C

Step-by-step explanation:

Substitute each of the values into f(x) and if equal to zero then it is an x- intercept.

f(3)

= 3³ - 3² - 8(3) + 12 = 27 - 9 - 24 + 12 = 6 ≠ 0

f(- 4)

= (- 4)³ - (- 4)² - 8(- 4) + 12 = - 64 - 16 + 32 + 12 = - 36 ≠ 0

f(- 3)

= (- 3)³ - (- 3)² - 8(- 3) + 12 = - 27 - 9 + 24 + 12 = 0

f(4)

= 4³ - 4² - 8(4) + 12 = 64 - 16 - 32 + 12 = 28 ≠ 0

Since f(- 3) = 0 then x = - 3 is an x- intercept of f(x)

The x - intercept of the function f (x) = x³ - x² - 8x + 12 will be;

⇒ x = - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f (x) = x³ - x² - 8x + 12

Now,

Since, The function is,

⇒ f (x) = x³ - x² - 8x + 12

We know that;

The x - intercept of the function is satisfy the function.

So, We check all the option to find the x - intercept as;

Put x = 3;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (3) = 3³ - 3² - 8×3 + 12

⇒ f (3) = 27 - 9 - 24 + 12

⇒ f (3) = 6 ≠ 0

Put x = -4;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (-4) = (-4)³ - (-4)² - 8×-4+ 12

⇒ f (-4) = -64 - 16 + 32 + 12

⇒ f (-4) = - 36 ≠ 0

Put x = -3;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (-3) = (-3)³ - (-3)² - 8×-3 + 12

⇒ f (-3) = -27 - 9 + 24 + 12

⇒ f (-3) = 0

Thus, The x - intercept of the function is,

⇒ x = - 3

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

Answer:

ummm it is too blurry even if you zoom sorry mate

Step-by-step explanation:

By definition, the probability, p, of an event should lie between zero and 1.

When p = 0, the event will definitely no occur.

When p=1, the event will definitely occur.

Therefore 0 ≤ p ≤ 1.

Answer:

c. Probabilities are sometimes less than

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

Answer:

uuuum I think it would be? J times 5 or sm!? I’m sryyyyyy

Step-by-step explanation:

Answer:

...................

.............----.-.-.-.-.--..--.-.-.-.-.-..-.-:-;-:-:-:--.-.-.-.-.

[tex]5 \sqrt{18} - \sqrt{32} \\= 5 \sqrt{9 \times 2} - \sqrt{4 \times 4 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }[/tex]

Answer:

4

Step-by-step explanation:

C is equal to A because a parallelogram has opposite angles. So C is 83 degrees. SO 20 times something plus 3= equals 83. This something is 4.

Answer:

17

Step-by-step explanation:

$25.00 - $16.50 = $8.50

$8.50 / $0.50 = 17

Answer:

14:11

Step-by-step explanation:

Answer:

11:14

Step-by-step explanation:

that's what a ratio is

Answer:

Hello There!!

Step-by-step explanation:

21/7=3

21 are the total markers and you divide by 7 so 7 goes 3 times into 21.

hope this helps,have a great day!!

~Pinky~

Answer:

y=5

Step-by-step explanation:

-4y+12=10y-30

-14y=-42

y=3

The value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4 ( y - 3 ) = 5 ( 2y - 6 )

On simplifying the equation , we get

-4y + ( -4 ) ( -3 ) = 10y - 5 ( 6 )

-4y + 12 = 10y - 30

Adding 4y on both sides , we get

14y - 30 = 12

Adding 30 on both sides , we get

14y = 42

Divide by 14 on both sides , we get

y = 3

Therefore , the value of y = 3

Hence , the value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ6

If the question is asking to look for the third angle, given angle a being 40° and angle b being 40° as well, then we must figure out the total ° that the triangle is (internally), which is 180°.

180 - (40 + 40)

180 - 80

100° is what angle C is

Answer:

45

Step-by-step explanation:

45 seventh graders at Jonathan‘s school are not participating in the school play.

Given:

In Jonathan's school,30 seventh graders are participating in the school play. And 60% are not participating in the school play.

To find:

The number of seventh graders not participating in the school play.

Solution:

Let the total number of seventh grader be N.

Number of seventh graders participating in the school play = 30

Percentage of seventh graders not participating in the school play= 60%

Percentage of seventh graders participating in the school play:

[tex]= 100\% - 60\% = 40\%[/tex]

This means that 30 seventh graders are 40% of the total seventh graders, N.

[tex]40\%=\frac{30}{N}\times 100\\N=\frac{30}{40}\times 100=75[/tex]

The number of seventh grader not participating in the school play:

[tex]=N -30\\ = 75 - 30 = 45[/tex]

45 seventh graders at Jonathan‘s school are not participating in the school play.

Learn more about percentage here:

brainly.com/question/16797504?referrer=searchResults

brainly.com/question/15383596?referrer=searchResults

Answer:

509.554140127, you could round it to 510, if rounded to the ones.

510 yds squared

Step-by-step explanation:

80=2pi r

80=6.28r

r=around 12.7388535032

area: pi r^2

pi(162.278388576) approximately equals 509.554140127

Answer:

C

Step-by-step explanation:

To solve this multiply the two and add like terms

Once you multiply you should get x^2-4x+6x-24 which simplifies to x^2+2x-24 which is C

Answer:

x^2-36

Step-by-step explanation:

(x-6)(x+6)

x^2-6x+6x-36

x^2-36 <--- This is your answer

Answer:

307.42

-

add them together

Answer:

Step-by-step explanation:

u add   1.9+305.52=307.42

Answer:The sum of all is 21+23+25+27 = 96.

Step-by-step explanation:

Answer:

21+23+25+27 = 96.

Step-by-step explanation:

Answer:

mmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Using the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-7-(-8)}{-14-(-16)}[/tex]=[tex]\frac{1}{2}[/tex]= 2

The slope is 2

Answer:

Step-by-step explanation:

Find 5% of £16855.21 by 3.5%

5%=842.7605

1%=168.5521

0.5%=84.27605

168.5521+168.5521+168.5521+84.27605=

£16855.21-589.93235 =16265.27765

16265.28 is the answer rounded to 2dp

Answer:

The given equation has one solution.

Step-by-step explanation:

Given equation is:

(x+12) = 4x-1

We will solve the equation to check how many solutions it has.

x+12 = 4x-1

Adding 1 on both sides

x+12+1 = 4x-1+1

x+13 = 4x

Subtracting x from both sides

x-x+13=4x-x

13 = 3x

x = 13/3

Hence,

The given equation has one solution.

67.5

Step-by-step explanation:

Answer:

y=51(Alternate interior angles)

z=40(Alternalte interior angles)

x=89(Sum of angles in a triangle)

Answer:

329

Step-by-step explanation: