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3 years ago

Write the equation of the line that has an undefined slope and passes through the point (3,5)

1 answer:

4 0

Undefined slope is when a line becomes vertical. Vertical lines have undefined slope because if we attempt to find the slope using formula, the denominator will become 0 which is undefined.

Next, the equation of a vertical line is x = a where a is any real numbers.

Since the line is vertical, for any a-value would have same y-value which is all real numbers.

However since the graph passes through x = 3. For x = 3 has y-value as set of all real numbers.

Answer

The equation for a line that has undefined slope and passes through (3,5) is x = 3

Let me know if you have any doubts!

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Multiply (3x – 1)(5x – 9) Show work Please

Murljashka [212]

Answer:

15x^2-32x+9

Step-by-step explanation:

(3x – 1)(5x – 9)

FOIL

first: 3x*5x= 15x^2

outer: 3x(-9) = -27x

inner: -1(5x) = -5x

last: -1(-9) = 9

Add them together

15x^2 -27x-5x +9

Combine terms

15x^2-32x+9

6 0

3 years ago

Read 2 more answers

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago

A coin is flipped until 3 heads in succession occur. list only those elements of the sample space that require 6 or less tosses.

Mashutka [201]

we are given

A coin is flipped until 3 heads in succession occur

so, firstly, we will find sample space

S={HHH , THHH , HTHHH, TTHHH , TTTHHH , HTTHHH , THTHHH , HHTHHHH, ......}

now, we are given that

list only those elements of the sample space that require 6 or less tosses

so, we can see that sample space

S={HHH , THHH , HTHHH, TTHHH , TTTHHH , HTTHHH , THTHHH , HHTHHHH, ......}

There are infinite such possibilities

so, there are infinite number of elements in space

and we know that

discrete sample space will always have finite elements

but we have infinite number of sample space elements here

so, this is not discrete sample space...........Answer

6 0

3 years ago

Change 0.48 into a fraction or mixed number

vladimir2022 [97]

That is the answer. 12/25.

4 0

3 years ago

Read 2 more answers

Maria receivesa commission of 11.5%for each pair of shoes she sells.She earned $207 in commission last week.What was the dollar

Kamila [148]

Answer:

$1800

Step-by-step explanation:

You would use proportions. 11.5/100 (11.5%) multiplied by 207/x.

Cross multiply 100 and 207, then divide that answer by 11.5. You should get 1,800 as your answer.

Therefore, the dollar amount of shoes that Maria sold is $1800.

5 0

3 years ago