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3 years ago

Da los resultados de las siguientes multiplicaciones de expresiones algebraicas:

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

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Graph the system below and write its solution.

Diano4ka-milaya [45]

Answer:

See the graph attached. It has one solution: (6,-4)

Step-by-step explanation:

The slope-intercept form of a line is:

$y=mx+b$

Where m is the slope and b is the intersection of the line with the y-axis.

Given the first equation $y =\frac{-1}{2}x -1$

You can identify that:

b=-1

Substitute y=0 to find the intersection with the x-axis

$0 =\frac{-1}{2}x -1\\1(-2)=x\\x=-2$

This line passes through the points (0,-1) and (-2,0)

Given the second equation:

$-2 + y = -6$

Solve for y:

$y = -6+2\\y=-4$

It passes through the point (0,-4).

Now, you can graph. See the figure attached.

It has one solution,which is the point of intersection of both lines: (6,-4)

5 0

3 years ago

Write an absolute value inequality for each of the following. Then graph the

n200080 [17]

An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.

<h3>How to write an absolute value inequality?</h3>

Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.

This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:

|x| < 7

Therefore, this can be translated as follows:

-7 < x < 7 or x < 7 and x > -7.

Read more on number line here: brainly.com/question/24644930

#SPJ1

8 0

2 years ago

Helen is putting together a makeup kit for a friend there are 6 Types of eyeshadow and 3 types of mascara to choose from how man

PtichkaEL [24]

She can make 3 since theres only 3 mascaras? and for each makeup kit she can add two eyeshadows and one mascara

6 0

3 years ago

A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex

kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

$325 mg + 2mg+15 mg=342 mg$

The percentages of each component in the formula are:

Acetaminophen: $\frac{325mg*100}{342mg}=95.03$ %

Chlorpheniramine maleate: $\frac{2mg*100}{342mg} =0.58$ %

Dextromethorphan hydrobromide: $\frac{15mg*100}{342mg}=4.39$ %

If 1 Kg= $10^{6}$ mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

$\frac{10^{6} mg *0.58}{95.03}=6153.85 mg$

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

$\frac{10^{6}mg*100}{95.03}=1052307.7mg$

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

$\frac{1052307.7mg}{342mg}=3076.923$

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0

3 years ago

The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total

olga_2 [115]

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

3 0

3 years ago