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3 years ago

Graph the following piecewise functions for the specified domain.

Mathematics

2 answers:

Anni [7]3 years ago

7 0

Answer:

Answer is given in the pictures

Step-by-step explanation:

Refer the figure given to see the plots

babunello [35]3 years ago

6 0

Answer with Step-by-step explanation:

We are given that a function

$f(x)=\mid{x+3}\mid$ for $-5\leq x\leq 3$

We have to graph for the specified domain.

$f(x)=\left\{\begin{matrix}-(x+3)&,if-5\leq x$

Substitute x=-3

Then we get

$f(-3)=0$

Substitute x=0

Then we get $f(0)=0+3=3$

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What is 21 divided by 756?

Phantasy [73]

Answer:

0.027777778

Step-by-step explanation:

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3 years ago

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What value of x makes the equation 4(5-7x)=6-12x true?

ch4aika [34]

Answer:

x=7/8 or x= 0.875

Step-by-step explanation:

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3 years ago

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Find two consecutive even integers such that twice the second is the same as 186 less than the first integer.

Alisiya [41]

Step-by-step explanation:

let the 2 integers be x and x + 1

2(x + 1) + 186 = x

2x + 188 = x

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therefore the 2 integers are -188 and -187

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3 years ago

A line passes through the points (6,-6) and (9,-5). What is it’s equation in point slope form?

BARSIC [14]

Answer:

$y=\frac{1}{3}x-8$

Step-by-step explanation:

Slope-intercept form of an equation is written as $y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

The slope of a line that passes through the points $(x_1,\: y_1)$ and $(x_2, \: y_2)$ is $m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$ . Using the coordinates $(6,-6)$ and $(9,-5)$ as given in the problem, we have slope of this line to be:

$m=\frac{-5-(-6)}{9-6}=\frac{1}{3}$ .

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

$-6=\frac{1}{3}(6)+b, \\ b=-8$

Therefore, the equation of this line in slope-intercept form is $\fbox{$y=\frac{1}{3}x-8$}$ .

3 0

3 years ago

Joey has 2 friends that can eat the same amount as him. If they decided to order all SMALL pizzas, how many SMALL pizzas would t

Georgia [21]

Answer:

At first instance, they can eat 3 SMALL pizzas together, while the total number of pizzas they can eat if there are subsequent instances is

3 × (Number of instance)

Step-by-step explanation:

Here, we have a word math problem, with Joey and his 2 friends who can eat the same amount as him

That is if the amount Joey can eat is x then each of his two friends can eat x hence total amount Joey and the two friends can eat is

x + 2x = 3x,

Where x is an number eaten per person at an instant

Therefore, if they decide to order all SMALL pizzas, the number of pizzas they can eat at the first instant is 3 × 1 = 3 SMALL pizzas

at subsequent instance, the number of pizzas eaten in total is 3·x pizzas.

8 0

4 years ago