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3 years ago

A function has the function rule y = x - 7. If the input is 4, what is the output?

Mathematics

2 answers:

Troyanec [42]3 years ago

7 0

Answer:

-3

Step-by-step explanation:

PolarNik [594]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

I took the test

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You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

4 years ago

A diagonals of a parallelogram measures 37 inches. The size measures 35 inches and 1 foot. Is the parallelogram a rectangle?

Lostsunrise [7]

No, a parallelogram is not a rectangle. meaning it has a completely different area formula, I know it sucks.

Formula: base × height

I don't use feet and inches. sorry I couldn't provide with to much help.

6 0

3 years ago

HEEEEEELLLLLLLLPPPPPPPP! Plz

ELEN [110]

Answer:

non linear

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

6/3 + (-1/6) = ? (These are supposed to be fractions)

Phoenix [80]

Answer: 11/6 or 1 5/6

Simplify 6/3

6/3÷3/3=2/1

Change 2/1

2/1×6/6=12/6

New Problem: 12/6+(-1/6)

Add

12+-1/6=11/6

Simplify

11/6 = 1 5/6

6 0

3 years ago

Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!!

Snowcat [4.5K]

Answer:

$12,000,000

Step-by-step explanation:

The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.

7 0

3 years ago