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tino4ka555 [31]
3 years ago
8

Which of the following represents the graph of f(x) = 2x − 3?

Mathematics
2 answers:
Soloha48 [4]3 years ago
7 0
Hello there!

We can graph this by using the slope and y-intercept.

So we have the slope 2 and the y -intercept -3.

On the graph, draw the line from the right side all the way down.

See picture below for more info.

stepan [7]3 years ago
4 0
Check the picture below

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Which test point holds true for the inequality 3/2y-2x>=1? Where does the shaded area lie for this inequality? The test point
Tanya [424]

The test That holds true for this inequality is given as 1/4 and 1

<h3>How to solve for the inequality</h3>

3/2 y - 2x > 1

The goal is to make y the subject

then

3/2 y > 2x + 1

We have to divide through the equation by 3/2

Such that  y  > 4/3 x + 2/3

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1 year ago
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Complementary angles are two angles that add up to 90°

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3 years ago
Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
larisa86 [58]
We are given the following:
          - parabola passes to both (1,0) and (0,1) 
<span>          - slope at x = 1 is 4 from the equation of the tangent line </span>

<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1 
<span>0 = a + b + 1
a + b = -1 </span>

<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b 
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b 
<span>4 = 2a + b </span>

So, we have two equations and  two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1 
</span><span>
Solving simultaneously,
a = 5 </span>
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6 0
3 years ago
John typed a 48 word paragraph in 2/3 minute. What is the typing speed in words per minute​
serg [7]

Answer:  The answer is:  " 72 words per minute. "

___________________________

Step-by-step explanation:

___________________________

This is a "unit rate" problem.

We want to solve for/ find the number of words PER single minute.

___________________________

Given 48 words per (2/3) minute;

How many words per (one) minute?

__________________________

The answer is {48 ÷ (2/3) } words per minute:

 Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:

Hence:

__________________________

The answer is {48 * (3/2) } words per minute:

__________________________

 Write as:

  " \frac{48}{1} *\frac{3}{2} " ;

__________________________

  The "48" can be changed to "24" ; and the "2" can be changed to "1" ;

   → {Since: "48 ÷ 2 = 24 "} ;

___________________________

And we have:

___________________________

  " \frac{24}{1} *\frac{3}{1} = 24 * 3 = 72 " ;

___________________________

The answer is:  " 72 words per minute ."

___________________________

Hope this is helpful to you!

___________________________

4 0
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