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Doss [256]
3 years ago
7

The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the func

tion? A) (7, 9) B) (2, −1) C) (−8, −3) D) (−6, −2)

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

B

Is the answer I just took the test

Shalnov [3]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

Assuming the missing table is the one shown in the attachment,.

For the table to represent a function, none of the first coordinates must repeat.

From the given options, the only point whose first coordinate belong to the table is (-6,-2).

Apart from this point, the other three points can be added to the table and the table will still represent a function.

If this is actually your diagram, then the correct answers are: A) (7, 9) B) (2, −1) C) (−8, −3)

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The volume of a cube is 3375 cubic inches. what is the measure of each side of the cube
OlgaM077 [116]

Answer:

The measure of each side of the cube is

<h2>15 inches</h2>

Step-by-step explanation:

Since it's a cube all it's sides are equal

To find the length of each side we use the formula

Volume of a cube = l³

where l is the measure of one side

From the question

Volume = 3375 cubic inches

Substitute this value into the formula and solve for l

That's

<h3>{l}^{3}  = 3375</h3>

Find the cube root of both sides

That's

<h3>\sqrt[3]{ {l}^{3} }  =  \sqrt[3]{3375}</h3>

We have the final answer as

<h3>l = 15 inches</h3>

Hope this helps you

6 0
3 years ago
A dealer bought an article for $7 sold it for $8 bought it back for $9 and then sold it for $10 how much profit did he make
Anit [1.1K]
To the total amount of money that a dealer spent is $7 + $9 or %16. His revenue from selling the same articles is $8 + $10 which is equal to $18. The profit is the difference between the total revenue and total cost. 
                              profit = $18 - $16 = $2
Thus, the dealer has a profit of $2. 
5 0
3 years ago
If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)
Vikentia [17]
Hi there!

First we need to remember the following.
(f + g)(x) = f(x) + g(x)

Now substitute both of the formulas.
(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)

Work out the parenthesis.
(f + g)(x) = {3}^{x} + 10x + 4x - 2

And finally collect terms.
(f + g)(x) = {3}^{x} + 14x - 2

~ Hope this helps you!
3 0
3 years ago
Read 2 more answers
Solve by quadratic formula:<br> 3x^2 - 10x - 20= 0
Arlecino [84]

this is your answer, i hope this helps you

5 0
3 years ago
Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 Preview
mario62 [17]

Answer:  The required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

Step-by-step explanation:   We are given to solve the following differential equation :

5y^{\prime\prime}+3y^\prime-2y=0,~~~~~~~y(0)=0,~~y^\prime(0)=2.8~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

5m^2e^{mt}+3me^{mt}-2e^{mt}=0\\\\\Rightarrow (5m^2+3y-2)e^{mt}=0\\\\\Rightarrow 5m^2+3m-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow 5m^2+5m-2m-2=0\\\\\Rightarrow 5m(m+1)-2(m+1)=0\\\\\Rightarrow (m+1)(5m-1)=0\\\\\Rightarrow m+1=0,~~~~~5m-1=0\\\\\Rightarrow m=-1,~\dfrac{1}{5}.

So, the general solution of the given equation is

y(t)=Ae^{-t}+Be^{\frac{1}{5}t}.

Differentiating with respect to t, we get

y^\prime(t)=-Ae^{-t}+\dfrac{B}{5}e^{\frac{1}{5}t}.

According to the given conditions, we have

y(0)=0\\\\\Rightarrow A+B=0\\\\\Rightarrow B=-A~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

and

y^\prime(0)=2.8\\\\\Rightarrow -A+\dfrac{B}{5}=2.8\\\\\Rightarrow -5A+B=14\\\\\Rightarrow -5A-A=14~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (ii)}]\\\\\Rightarrow -6A=14\\\\\Rightarrow A=-\dfrac{14}{6}\\\\\Rightarrow A=-\dfrac{7}{3}.

From equation (ii), we get

B=\dfrac{7}{3}.

Thus, the required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

7 0
3 years ago
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