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3 years ago

Choose the correct simplification of the expression (d^3)^5

Mathematics

2 answers:

marin [14]3 years ago

6 0

(d^3)^5 is equal to d^(3^5), which is equal to d^243.

irina [24]3 years ago

4 0

d^3)^5 & d^(3^5) are equal to each other , which is equal to d^243.

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If the sum of two whole numbers is 24 more than their difference, then one of the number must be

Iteru [2.4K]

Answer:

Option C. 12

Step-by-step explanation:

Let

x---> one whole number

y ---> the second whole number

we know that

x+y=(x-y)+24

$x-x+y+y=24\\2y=24\\y=12$

therefore

One of the number must be 12

5 0

2 years ago

Malia is booking train tickets for her family. Tickets cost $75 per adult, $50 per senior or per person between the ages of 12 a

soldi70 [24.7K]

Answer:235$

Step-by-step explanation:

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3 years ago

10,000 pounds = ____ tons Write numerical answer only

MrRa [10]

Answer:

2,000 pounds = 1 ton........sooooo 10,000 pounds = 5 tons

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP!!!!!

Zielflug [23.3K]

Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
$\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}$
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.

Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}$

Let's plug this into this form first:
$y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55$

Now, let's make it into Standard Form.
$y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}$
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
$\boxed{f(x) = 85x + 55}$

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)

5 0

3 years ago

The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p

Romashka-Z-Leto [24]

Answer:

(c) For p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here, The dividend expression is $4x^2-p(x)+7$ = E(x)

The Divisor = (x-3)

Remainder = -2

Now, by <u>REMAINDER THEOREM</u>:

Dividend = (Divisor x Quotient) + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒ x = 3 is a solution of given polynomial E(x) - (-2) =

$E(x) - (-2) = 4x^2-p(x)+7 -(-2) = 4x^2-p(x)+9$ = S(x)

Now, S(3) = 0

⇒ $4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p =15$

or, p =1 5

Hence, for p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

6 0

2 years ago