Explain how knowing 50×4 helps you find 500×400

1 answer:

8 0

5x4= 20
50x40=200
500x400=200000
Do you see the pattern? 5x4=20, which means that all you need to do is add the zeros. 50x40 has two zeros, which means it should equal 200.

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Solve the following:<br> a) 4x 3= 2x + 7<br><br> b) 2x+6= 7x14

nikdorinn [45]

<h2><u>Correct question</u> : 4x - 3 = 2x + 7 </h2>

<h2><u>Solution</u> : 4x - 3 = 2x + 7 </h2>

$4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.$

<h2><u>Correct Question</u> : 2x + 6 = 7x - 14</h2>

<h2><u>Solution</u> : 2x + 6 = 7x - 14</h2>

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7 0

1 year ago

How do you graph this f(x)= -3/2|x|+5 if x≤4

LenaWriter [7]

Answer:

see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

___

If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

Of course, you don't plot any function values for x > 4.