(x^3+3x^2-x+2)/(x-1)

Answer: one hosta = $5

One shrub = $8.

Step-by-step explanation:

Let the cost of one hosta be h

Let the cost of one shrub be s

Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:

8h + 5s = 80 ..... i

Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:

9h + 5s = 85 ..... ii

8h + 5s = 80 ..... i

9h + 5s = 85 ..... ii

Subtract i from ii.

h = 5

The cost of one hosta is $5

Since 8h + 5s = 80

8(5) + 5s = 80

40 + 5s = 80

5s = 80 - 40

5s = 40

s = 40/5 = 8

One shrub cost $8.

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) from first principles is

f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero

f'(x) = 9x²

Answer:

x= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Brainly plss?

Answer:

x=-1

use math papa calculator it helps :)

Answer:

Answer choice D

Step-by-step explanation:

So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:

3V=4[tex]\pi[/tex][tex]r^{3}[/tex]

Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:

[tex]\frac{3V}{4\pi } = r^{3}[/tex]

Then cube both sides:

[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]

Answer choice D

Answer:

-4

Step-by-step explanation:

Answer:s

slope of -4x-3: m=-4

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

a + 9 = 23

a = 14

3b + 9 = 23

3b = 14

b = 14/3

6c + 9 = 23

6c = 14

c = 14/6 = 7/3

Statement 1: 3a = 14 x 3 = 42, which is not equal to b.

Statement 2: 7/3 is less than 14.

Statement 3: 2c = 7/3 x 2 = 14/3 = b.

Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

Answer:

Step-by-step explanation:

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

Answer:

5

Step-by-step explanation:

30/6=5

Answer:

The solution for x would be 4.

Step-by-step explanation:

2x - 1 = 7

The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4

Answer:

2x^2yz + 3xy^3z - 3xyz^3

Step-by-step explanation:

First you must distribute:

xyz(2x) + xyz(3y^2) + xyz(-3z^2)

Then simplify:

2xyxx + 3xyzy^2 - 3xyz * z^2

And finally simplify each term:

2x^2yz + 3xy^3z - 3xyz^3

The answer is

x ≤ -3  

Answer:

i will help plz put the question here copy it so i can help u

Step-by-step explanation:

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

a. w = -4m + 260

b. 10 months

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

Answer:

This is already as simple as it will get.  You could expand it though.  In that case you'd get:

(x + y)⁴

= (x² + 2xy + y²)²

= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

=  x⁴ + 4x³y + 6x²y² +4xy³ + y⁴

But this doesn't simplify at all.

Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

Answer:

The longest length of the similar triangle is 7 inches

Step-by-step explanation:

If two triangles are similar, the ratio of their sides are equal

We shall be working the shortest and longest side of both

What we have here will be that;

The shortest length/ the longest length ratio in both triangles will be the same

Let the longest side of the similar triangle be x

8/14 = 4/x

8x = 4 * 14

x = (4 * 14)/8

x = 7 inches

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Answer:

The solutions for both system of equations are as follows:

Step-by-step explanation:

The first set of equations is:

[tex]4x+6y=32\\3x-6y=3\\[/tex]

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations

So adding both equations, we get

[tex]4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5[/tex]

Putting x=5 in equation 1

[tex]4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2[/tex]

The solution is (5,2)

The second set of simultaneous equations is:

[tex]-3x+5y=-113x+7y=-1[/tex]

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so

Adding both equations

[tex]-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1[/tex]

Putting y= -1 in first equation

[tex]-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2[/tex]

The solution is: (2,-1)

Hence,

The solutions for both system of equations are as follows:

Answer:

its C

Step-by-step explanation:

9514 1404 393

Answer:

  2.89 m

Step-by-step explanation:

The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.

The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...

  Sin = Opposite/Hypotenuse

  sin(12°) = (0.6 m)/(PR)

  PR = (0.6 m)/sin(12°) ≈ 2.886 m

  PR ≈ 2.89 m

The distance to the subject is about 2.89 meters.