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3 years ago

(ABSOLUTE-VALUE, LINEAR SYSTEMS, and MATRICES)

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer:

Lisa bought 9 gallons of ice cream

Step-by-step explanation:

lets take "x" as the gallons of lemonade

if Lisa made purchases worth $34 that is what our equation will e equal to

ice cream:7.5 per gallon

milk: 2.5 per gallon

lemonade: 3 per gallon

since Lisa purchases 4 gallons of milk and 2 gallons of ice cream we will multiply that by the unit money for each food respectively:

7.5(2)+2.5(4)+X=34

SIMPLIFY:

15+10+x=34

15+10=25

25+x=34

25-25+x=34-25

x=9

Lisa bought 9 gallons of ice cream

hope this helps!

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Studentka2010 [4]

Part A: Vertical asymptote is $x=0$

Part B: Domain is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: Horizontal asymptote is $y=4$

Part D: Range is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

$x=0$

Hence, the vertical asymptote is $x=0$

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have, $x=0$

Therefore, the function is undefined at the point $x=0$

Thus, the domain of the function is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have, $y=4$

Hence, the horizontal asymptote of the function is $y=4$

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

$\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Therefore, the range of the function is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

6 0

3 years ago

A map has a scale of 66 miles to the inch. How far apart on the map are two cities that in reality are 198 miles apart?

lesya [120]

They are 3 inches apart

5 0

4 years ago

1.688 × 10⁴ = write in standard format

Neporo4naja [7]

Answer

16880

Step-by-step explanation:

10x10x10x10=10,000

1.688x10,000=16880

hope that helps

7 0

3 years ago

Read 2 more answers

Which lines are parallel? Check all that apply. Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angle

miv72 [106K]

The two parallel lines will be b and d in the given question

<h3>What are parallel lines?</h3>

From the figure, we can see that

Angles formed by lines b and a are 89. 5 degrees

Angles formed by lines c and a are 91.5 degrees

Angles formed by lines d and a are 89.5 degrees

Angles formed by lines e and a are 88.5 degrees

Angles formed by lines f and a are 90.5 degrees

Since the angle formed by line b with a and d with a are equal that is 89.5

so these two lines will never intersect each other

But other lines have varied angles then they can intersect at one point

Thus the two parallel lines will be b and d in the given question

To know more about parallel lines follow.

brainly.com/question/24607467

4 0

2 years ago

A store advertises 15% off an item that regularly sells for $300.

maw [93]

Answer:

15%=15/100=0.15

15% off means = regular price - (15% of regular price)

= 300 - (0.15*300)=255

So sale price is $255

Step-by-step explanation:

5 0

4 years ago