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Tju [1.3M]
3 years ago
11

What are expressions like 4(3+2) and 4(3)+4(2) called

Mathematics
1 answer:
raketka [301]3 years ago
8 0
<span>We are asked to find a term that describes the expressions 4(3+2) and 4(3)+4(2). The said expression conforms to one of an algebra property called distributive property. Distributive Property simply distribute the first term to the two or more terms inside a parenthesis. This property helps in simplifying an expression.</span>
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Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

8 0
1 year ago
.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y&lt;3x+5,y=3x+5 or y &gt;3x+5..​
natima [27]

Given:

The point is (-2,4).

To find:

Whether the point (-2,4) satisfy y or y >3x+5.​

Solution:

We have a point (-2,4).

Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.

3x+5=3(-2)+5

=-6+5

=-1

-1 is less than 4.

3x+5

3x+5

In can be written as

y>3x+5

Therefore, the given point (-2,4) satisfy y >3x+5.

3 0
3 years ago
The graph shows the distance a cyclist traveled in yards (y) as a function of time in seconds (x). The graph is divided into fou
xz_007 [3.2K]

Answer:

S


Step-by-step explanation:

Segment P shows as time is increasing, distance is also increasing. Which means the cyclist is moving forward at a speed.

Segment Q shows that distance is constant but time is increasing. This means that the cyclist is at rest.

Segment R shows as time in increasing, distance is also increasing. Which means the cyclist is moving forward.

Segment S shows that as time increases, distance decreases to the t-axis<em> [ the point where Segment P started, hence original position]</em>. This shows the cyclist returning to the starting point

Correct answers is Segment S.


6 0
3 years ago
Read 2 more answers
Pls I need help it’s a test
Alborosie

Answer:

<h2>not a function</h2>

Step-by-step explanation:

vertical line test: if it intersects at more than one point, it is not a function. If it intersects once, it is a function

5 0
3 years ago
Read 2 more answers
Mr. Wilson teaches math to 12 students. After marking all the tests, the average score was 82. He realized that one student’s te
Karo-lina-s [1.5K]
New class average: 83

The original average: 82
And if there are 12 students, the total sum of all 12 tests should be
82 x 12 = 984

Then to find the average of the new tests

Add 12 points to the original sum

984+12 = 996

Then divide by 12 to find the new average

996/12 = 83

4 0
3 years ago
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