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2 years ago

What is the difference?

Mathematics

1 answer:

ANTONII [103]2 years ago

3 0

$- \frac{1}{10} - (- \frac{2}{10} ) = \frac{1}{10} + (-\frac{2}{10}) = - \frac{1}{10}$

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What function equation is represented by the graph?

Ahat [919]

In the given graph, lets mark two points:

Let $A = (0,-3)$ and $B = (4,-2)$

The slope of the line is given by:

$m = \frac{(-2)-(-3)}{(4)-(0)}$

$m = \frac{-2+3}{4}$

$m = \frac{1}{4}$

The equation of the line is given by:

$(y-y_1)=m(x-x_1)$

$(y-(-3))=(\frac{1}{4})(x-0)$

$4(y+3)=x$

$4y+12=x$

$4y=x-12$

$y= \frac{1}{4}x-3$

Therefore, the function equation represented by the graph is: $f(x)= \frac{1}{4}x-3$

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3 years ago

6 1/12= - 4 6/12 subtracting

irinina [24]

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3 years ago

What is 30+10x=100 how to solve

Georgia [21]

X=7
100-30=70
70/10
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2 years ago

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Double than average points<br> I attached a picture

artcher [175]

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2 years ago

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The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00

xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

$2.50x + 0.75y \leq22$

Now, if there are three people in the group we have that $x = 3.$

$2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33$

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

$2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8$

Thus, they could travel a maximum of 5 people.

ANswer:

$2.50x + 0.75y \leq22$

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

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2 years ago