All categories

2 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

It is a piece-wise function, so you will have two equations and two different domains. x squared plus 3 represents the sort of parabola and x plus 4 represents a linear function. There is a reason why the point on the parabola is open when x is 4. That open sign means that the x value doesn't work for the equation. Therefore, x cannot be 4 for the parabola and the domain for it is x is less than 4. The point on the linear function is closed to show that 4 for x does work for the equation and graph. For the linear function, the domain for it is x is greater or equal to 4. Hope this helps!

You might be interested in

How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?

BARSIC [14]

Answer:

Therefore,

There are Four i.e 4 terms in the expression,

$-7+12x^{4}-5y^{8}+x$

Step-by-step explanation:

Algebraic Expression:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Variables with the coefficient is called as Term.
Number is also a term.

Here the Expression is

$-7+12x^{4}-5y^{8}+x$

So,

$-7 = One\ Term\\12x^{4}=Second\ Term\\-5y^{8}=Third\ Term\\x=Fourth\ Term$

In all there are Four i.e 4 terms in the given expressions.

Therefore,

There are Four i.e 4 terms in the expression,

$-7+12x^{4}-5y^{8}+x$

5 0

2 years ago

Read 2 more answers

The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave them a special package fo

Brilliant_brown [7]

Knowns:
C = mx + b
m = 367
b = 1500

C = 367x + 1500

Cost (c) = 16,600

16600 = 367x + 1500
subtract 1500 from both sides

15,100 = 367x
Divide both sides by 367

x = 41.14

41 Students can attend the trip! Hope this helps

3 0

2 years ago

Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?

bagirrra123 [75]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

2 years ago

Part of a book fell out. The first page of this part has number 143. The last page has a number written with the same digits. Ho

Gnom [1K]

Answer:

142 pages

Step-by-step explanation:

The parameters given are

First page of part of the book available = 143

The last is numbered with the digits 143

Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops

Number on the pages on the first part = from 1 to number on the first page on the second part - 1

Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.

3 0

2 years ago