Answer: (0,3)
Step-by-step explanation: To find the x-value of the vertex for any quadratic, you can use the formula -b/2a. In this case, there is no clear b, but you can think of it like y=-x^2 +0x+3 so in the form ax^2 + bx +c, b=0. Therefore the x-value is 0/ -2, or 0. So we know the vertex is (0, y). To find y, just plug 0 into the original equation for x, getting you y=0+3, so y=3, so the vertex is (0,3)
Hey there,
20x ^ 2 = 256 + 128x
400x = 256 + 128x
400x - 128x = 256
272x = 256
x = 256 / 272
= <span>0.94117647058
=0.9
Hope this helps :))
<em>~Top♥</em>
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For this, we use simultaneous equations. Let George's page be g, Charlie's be c and Bill's page be b.
First, <span>George's page contains twice as many type words as Bill's.
Thus, g = 2b.
</span><span>Second, Bill's page contains 50 fewer words than Charlie's page.
Thus, b = c - 50.
</span>If each person can type 60 words per minute, after one minute (i.e. when 60 more words have been typed) <span>the difference between twice the number of words on bills page and the number of words on Charlie's page is 210.
We can express that as 2b - c = 210.
Now we need to find b, since it represents Bill's page.
We can substitute b for (c - 50) since b = c - 50, into the equation 2b - c = 210. This makes it 2(c - 50) - c = 210.
We can expand this to 2c - 100 - c = 210.
We can simplify this to c - 100 = 210.
Add 100 to both sides.
c - 100 + 100 = 210 + 100
Then simplify: c = 210 + 100 = 310.
Now that we know c, we can use the first equation to find b.
b = c - 50 = 310 - 50 = 260.
260 is your answer. I don't know where George comes into it. Maybe it's a red herring!</span>
32/60 =
32 ÷ 60 ≈
0.533333333333333 =
0.533333333333333 × 100/100 =
0.533333333333333 × 100% =
(0.533333333333333 × 100)% ≈
53.333333333333% ≈
53.33%;
Answer:
Step-by-step explanation:
Now let us see the detailed solution of each part:
Part 1:
Part 2:
Part 3:
Part 4:
Part 5:
Part 6:
Please refer to attached image for the answers.
