If f(x) =2−x/3−x^2, then determine f(−1)

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle [tex]ABCD[/tex] as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}[/tex]

Answer:

Image is attached.

Step-by-step explanation:

Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.

Answer:

-3/4 is correct answer

p = √24

Step-by-step explanation:

5² = 1² + p²

25 - 1 = p²

p² = 24

p = √24

Answer:

x < -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

9(2x + 1) < 9x - 18

Step 2: Solve for x

Here we see any value x smaller than -3 would work as a solution to the inequality.

Answer:

Following are the solution to this question:

Step-by-step explanation:

In this question, the graph file is missing so, its solution can be defined as follows:

When the bag includes 20 marbles, each will be drawn 5% of the time on average.  

The bar chart shows that nearly 50% of the workforce red marbles are drawn, and about 25% of the time blue and white marbles are drawn. so, the equation is:

[tex]\to \frac{50\%}{5\%}= \frac{50 \times 100}{5\times 100}=\frac{50}{5} = 10 \ red \ marbles\\\\\to \frac{25\%}{5\%}= \frac{25 \times 100}{5\times 100}=\frac{25}{5} = 5\ blue \ marbles[/tex]

[tex]\to 5[/tex] white marbles are available in the bag.

Answer:

The equation that will satisfy x and y values in the table is y = 2x + 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

From the given table

∵ x = 0 and y = 3, x = 1 and y = 5

∴ x1 = 0 and x2 = 1

∴ y1 = 3 and y2 = 5

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{5-3}{1-0}[/tex] = [tex]\frac{2}{1}[/tex]

∴ m = 2

∵ b is the value of y at x = 0

∵ y = 3 at x = 0

∴ b = 3

→ Substitute the values of m, b in the form of the equation above

∴ y = 2x + 3

∴ The equation that will satisfy x and y values in the table is y = 2x + 3

Answer:

e represent a fraction happy to help

Answer:HL

Step-by-step explanation:

Answer:

Cost for 2 hours= $19

Step-by-step explanation:

11+4t

Answer:

2 hours: $19

t hours: 4t+11

Step-by-step explanation:

you pay 4 dollars per hour so it would be 4t and the entry fee is 11, so you add them together.

Answer:

e

Step-by-step explanation:

8ml x 6= 48ml of oil

3ml x 6= 18ml of vineger

Step-by-step explanation:

The minimum temperature is 42F, but the boxplot shows 46F

Answer:

A) The minimum temperature is 42°F, but the boxplot

shows 46°F.

9514 1404 393

Answer:

  transitive property of equality

Step-by-step explanation:

The transitive property of equality says ...

  if a = b and b = c, then a = c.

Here, we can use this form with ...

  a = 2x+4

  b = y

  c = 3x-6

__

We have ...

  a = b   ⇒   2x +4 = y

  b = c   ⇒   y = 3x -6

so, ...

  a = c   ⇒   2x +4 = 3x -6 . . . . transitive property of equality.

_____

On the other hand, ...

The substitution property of equality says ...

  if a = b, we can use b wherever 'a' is seen.

We can use this with ...

  a = y

  b = 3x -6

and do the substitution in the equation ...

  2x +4 = y

Replacing y with its equal, we get ...

  2x +4 = 'a'   ⇒   2x +4 = 'b'   ⇒   2x +4 = 3x -6 . . . . substitution property of equality

_____

Additional comment

These are two different ways to say that anything can be replaced by its equal.

Answer:

895 million camera phones

Step-by-step explanation:

Since the function is modeled by;

y=1.28e^1.31x

Now between 1997 - 2002 we have 5 years. This means that x =5. So we have to substitute x = 5 into the function to obtain the number of camera phones shipped in 2002.

Therefore;

y=1.28e^1.31(5)

y = 895 million camera phones

Answer:

Step-by-step explanation:

this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30

also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides

Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle

CAH = Cos(Ф) = Adj/ Hyp   we are given the Ф angle and we know the hypotenuse so solve for the Adj side

Hyp*Cos(Ф)= Adj

10 * Cos(60) = Adj

5 = Adj = y

Use Sin for the other side  and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet

Sin(Ф) = Opp/ Hyp

Hyp * Sin (Ф) = Opp

10 * Sin(60) = Opp

10 *[tex]\sqrt{3}[/tex]/2 = Opp

5*[tex]\sqrt{3}[/tex] = Opp = x

:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2  from a table and also my memory .. know that one from memory

Answer:

cool

Step-by-step explanation:

Answer:

ok now h h h h h j j j m m n j oh g g g h j

Answer:

it is triangle

Step-by-step explanation:

it has 3 side

thank me later

Answer:

The answer would be A which is L

Answer:

so its A?

Step-by-step explanation:

Answer:

310 meter square

Step-by-step explanation:

Area of a rectangle = length x width

Area of the rectangular park = 18 3/5 x 50/3

                                                = 93/5 x 50/3

                                                = 930/3

                                                = 310 meter square

Answer:

C

Step-by-step explanation:

Got it right

Answer:

Graph C

Step-by-step explanation:

Edge

Answer:

13

Step-by-step explanation:

Answer:

If MN=LK and LK=OP, then MN= OP

Answer:

MN = OP

Step-by-step explanation:

Answer:

One zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]

Step-by-step explanation:

[tex]25[/tex] ÷ [tex]10[/tex] [tex]=\frac{25}{10}=\frac{5}{2}[/tex]

[tex]250[/tex] ÷ [tex]100[/tex] [tex]=\frac{250}{100}=\frac{5}{2}[/tex]

Therefore,

[tex]25[/tex] ÷ [tex]10[/tex] [tex]=[/tex] [tex]250[/tex] ÷ [tex]100[/tex]

Here, 25 ÷ 10 and 250 ÷ 100 give the same answer.

Here, one zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]

Answer:

the possible side lengths:

3x+4 and x-3

Step-by-step explanation:

factorize the the expression and you will get two expressions in terms of x. those expressions are the lengths of the rectangle

[tex]3 {x}^{2} - 5x - 12[/tex]

1) write -5x as a difference

[tex]3 {x}^{2} + 4x - 9x - 12[/tex]

2) factor out x from the expression 3x²+4x

[tex]x(3x + 4) - 9x - 12[/tex]

3) factor out -3 from the expression -9x-12

[tex]x(3x + 4) - 3(3x + 4)[/tex]

4) factor out 3x+4 from the expression

[tex](3x + 4)( x - 3)[/tex]

the possible lengths are 3x+4 and x-3

to check whether the answer is correct, you can just multiply the both lengths using the area of rectangle formulae

area of rectangle formulae

[tex]length \times height[/tex]

(3x+4)(x-3)

= 3x²-9x+4x-12

= 3x²-5x-12 ( proven )

The remainder of the division of polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) is; -23

The remainder of the division of the polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) can be evaluated by the remainder theorem.

This involves adding evaluating the value of the polynomial at, x = -2.

Therefore, we have;

Therefore, the remainder when P(x) = 2x3 – x2 + 4x + 5 is divided by (x + 2) is; -23

Read more:

https://brainly.com/question/11456067

Answer:

Five

Step-by-step explanation:

Answer:

3(5-y)=4

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

It represents the coordinates of the point of intersection of the lines represented by the 2 equations.

Do you want them solved?