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jek_recluse [69]
3 years ago
6

What is the domain of the function f(x) = sqrt 7x+21

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

\text{if is}\ f(x)=\sqrt{7x+21}\ \text{then the domain is:}\\\\7x+21\geq0\ \ \ |-21\\7x\geq-21\ \ \ \ |:7\\x\geq-3\to x\in[-3;\ \infty)


\text{If is}\ f(x)=\sqrt{7x}+21\ \text{then the domain is:}\\\\7x\geq0\ \ \ |:7\\x\geq0\to x\in[0;\ \infty)

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What is the slope of the function, represented by the table of values below ?
Komok [63]
For a given function, slope is defined as the change in outputs, or y-values divided by the change in inputs, or x-values. In essence the slope asks "For a given change in x, how much does y change?" or even more simply: "How steep is the graph of this function?". This can be represented mathematically by the formula:
m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Since we have a table of x,y pairs it's the last form of that equation that will be the most useful to us. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-10}{0-(-2)}=\frac{-6}{2}=-3

We can check this answer by using a different pair, say the last two:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-23)-(-14)}{9-6}=\frac{-9}{3}=-3.

As a common sense check: Our y-values get smaller as our x-values get bigger so a negative slope makes sense. 

m=-3
5 0
3 years ago
Michael finds that 35 customers at his grandfather's grocery store use a coupon. To simulate the behavior of the next 5 customer
aleksandrvk [35]
There were 5 of the 15 in the simulation that used a coupon.  To find the probability you just divide 5 by 15

P(=>4) = 5/15 = 1/3 - probability of 4 or more
8 0
3 years ago
Read 2 more answers
BRAINLIEST IF CORRECT 40 POINTS
kati45 [8]

Answer:

D. The checking account is overdrawn by $15.

Step-by-step explanation:

Since the balance on a checking account represents the remaining money left in that checking account, having a negative value for that would mean an overdrawing of money, or drawing more money than is in that account in the first place.

Therefore, the answer would be that the checking account is overdrawn by $15.

Hope this helped!

4 0
3 years ago
Two months ago, the price, in dollars, of a cell phone was c.
laiz [17]

Answer:

c × 0.90

Step-by-step explanation:

c × 0.90, would be your answer because 10% is equal to 0.10, then you would subtract the 0.10 (10%) by 1 (100%), then multiply c times the 0.90 that you get, to get the decreased number, because you're multiplying by a decimal

5 0
2 years ago
The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5​
Mnenie [13.5K]

Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

3 0
3 years ago
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