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3 years ago

Use the Distributive Property to expand 6(8x - 2y) -3.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

Answer:

48x − 12y−3

Step-by-step explanation:

Distribute:

(6)(8x) + (6)(−2y) + −3

48x + −12y + −3

48x − 12y−3

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One spring day, Angel noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m.,

goldenfox [79]

Answer:

Please find attached the graph of the given data created with Microsoft Excel

Step-by-step explanation:

The question is a word problem with which we construct a table of values and then graph the data as follows;

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3 years ago

Help plz. 6th grade math

evablogger [386]

Answer:

2.5z^2+3z+4.2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Select the correct answer from the drop-down menu. Simplify the expression. 3y3 – 2y[4y – y(y – 3)] – [2y(y + 1) – 3y(y2 –1)] =

Cloud [144]

Answer:

Given the expression: $3y^3-2y[4y-y(y-3)]-[2y(y+1)-3y(y^2-1)]$

The distributive property says that:

$a\cdot (b+c) = a\cdot b+ a\cdot c$

Applying distributive property on the given expression, we have;

$3y^3-2y[4y-y^2+3y]-[2y^2+2y-3y^3+3y]$

again apply the same property we have

$3y^3-8y^2+2y^3-6y^2-[2y^2+2y-3y^3+3y]$

$3y^3-8y^2+2y^3-6y^2-2y^2-2y+3y^3-3y$

Like terms are those terms which have same variables to the same power.

Combine like terms;

$8y^3-16y^2-5y$

Therefore, the simplified form of the given expression is, $8y^3-16y^2-5y$

5 0

3 years ago

-3|9x-7|=2 Find the answer for x

labwork [276]

<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

No Solutions

<h3>Step-by-step explanation:</h3>

Given:

$-3|9x -7| = 2$

Rewriting the given equation:

$-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}$

We have to realize that the right side of the equation, $|9x -7|$ , will always be positive no matter what real values of $x$ (because we're taking the absolute value of the expression) and we are equating it to a negative constant number, $-\frac{2}{3}\\$ . Something that is always positive will never be negative so there's no value for $x$ that satisfies the solution.

$\rule{6.5cm}{0.5pt}$

You may not read the following passage that I have written.

$\rule{6.5cm}{0.5pt}$

Solving by positive of the expression:

$9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}$

Solving by the negative of the expression:

$-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\ 9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}$

Checking: $x = \frac{19}{27}\\$

$-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{19}{27}\\$ is an extraneous solution.

Checking: $x = \frac{23}{27}\\$

$-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{23}{27}\\$ is an extraneous solution.

8 0

3 years ago

Does a=2.1 b=7.2 c=7.5 form a right triangle

Anna007 [38]

Answer:

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

Thus the 3 values form a right triangle.

6 0

3 years ago

Read 2 more answers

Use the Distributive Property to expand 6​(8x ​- 2y) -3.

Use the Distributive Property to expand 6(8x - 2y) -3.