Factor the following polynomial: 5x(a - b) – 2y(a - b)

Mathematics

1 answer:

Afina-wow [57]2 years ago

5 0

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

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Please help i have 2 questions thank you very much.

Rudik [331]

Hello!

Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards

15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333

Multiply these to find the volume

5 * 5 * 0.08333 = 2.08325

Multiply this by the cost

2.08325 * 46 = 95.83

The answer is C) $95.83
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Question 2

You have to find the volume of the first pyramid

The equation we use is $V = \frac{lwh}{3}$

V is volume
l is length
w is width
h is height

Put in the values we know

$V = \frac{16 * 16 * 28}{3}$

Multiply

$V = \frac{7168}{3}$

Divide

V = 2389.3333

Now we use this to find the side length of the second pyramid

$2389.333 = \frac{lw * 112}{3}$

Multiply both sides by 3

<span>7167.999 = lw * 112
</span>
Divide both sides by 112

63.9999 = lw

Since it is a square pyramid we know that sides are equal

63.999 = l^2

Take the square root of both sides

8 = l

The answer is B) 8in

Hope this helps!

8 0

2 years ago

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is /

castortr0y [4]

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = 3*r*pi/2*105

v = r* pi/70

If we take that r = 1

answer
$\pi /70$

6 0

2 years ago

Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x − ln 8x, [1/2, 2]

insens350 [35]

The given function is
f(x) = x - ln(8x), on the interval [1/2, 2].

The derivative of f is
f'(x) = 1 - 1/x
The second derivative is
f''(x) = 1/x²

A local maximum or minimum occurs when f'(x) = 0.
That is,
1 - 1/x = 0 => 1/x = 1 => x =1.
When x = 1, f'' = 1 (positive).
Therefore f(x) is minimum when x=1.
The minimum value is
f(1) = 1 - ln(8) = -1.079

The maximum value of f occurs either at x = 1/2 or at x = 2.
f(1/2) = 1/2 - ln(4) = -0.886
f(2) = 2 - ln(16) = -0.773
The maximum value of f is
f(2) = 2 - ln(16) = -0.773
A graph of f(x) confirms the results.

Answer:
Minimum value = 1 - ln(8)
Maximum value = 2 - ln(16)

4 0

3 years ago

A local baseball team about 75 shirts from the T-shirt company. The team was charged $6.25 for total shipping but received a $20

ollegr [7]

In order to solve this question
Make an equation
Let x be the cost of each T- shirt
75x+6.25-20=398.75
Simplify the equation
75x-13.75= 398.75
Get Rid of The Constant
75x-13.75+13.75= 398.75+13.75
75x=412.5
Make sure your Variable is equal to one
75x÷75= 412.5÷75
x= 5.5
The price of each shirt is $5.50

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3 years ago

What is the greatest common factor of 56 and 49<br>

gulaghasi [49]

(7) is the greatest common factor of 56 and 49

4 0

2 years ago