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Artyom0805 [142]
3 years ago
12

The cost of a type of educational toy is expressed as y = 3x + 2. Find the rate of change.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

3

Step-by-step explanation:

<em>Rate of Change </em>is the same as <em>Slope</em><em>.</em><em> </em>According to the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em> </em><em>Change</em><em> </em>[<em>Slope</em>].

I am joyous to assist you anytime.

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If the point on the line is (-5,6) and the slope is 2/3, what is the answer in slope-intercept form?
Triss [41]
So you know the slope is 2/3. We can write the equation y=mx+b and plug in the value we know to get y=(2/3)x+b. Since the line goes through the point, (-5,6) our equation must be true when the x and y value are plugged into the equation. We get (6)=(2/3)(-5)+b. Solving for b, we get 6=(-10/3)+b then b=28/3. This means our formula is y=(2/3)x+28/3


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6 0
3 years ago
Help! <br> Which expression is equivalent? <br> On edge
Ira Lisetskai [31]

Answer: Choice B

x^{1/8}y^{8}

======================================================

Explanation:

The two rules we use are

(a*b)^c = a^c*b^c

(a^b)^c = a^{b*c}

When applying the first rule to the expression your teacher gave you, we can say that:

\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}

Then applying the second rule lets us say

\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}

Therefore,

\left(x^{1/4}y^{16}\right)^{1/2}  = x^{1/8}y^{8}

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

7 0
3 years ago
What’s the name of each quadrilateral and the answer
OleMash [197]
A) rhombus
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c) square
d) rectangle
e) parallelogram
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7 0
3 years ago
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* J,K,&L are coplanar

* K is the midpoint of JL

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4 0
3 years ago
(4x^3 - x^2 +4x) + (x^3 -x^2 - 4x)
madreJ [45]

Answer:

5x³ - 2x²

Step-by-step explanation:

Step 1: Write out expression

4x³ - x² + 4x + x³ - x² - 4x

Step 2: Combine like terms (x³)

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Step 3: Combine like terms (x²)

5x³ - 2x² + 4x - 4x

Step 4: Combine like terms (x)

5x³ - 2x²

4 0
3 years ago
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