First u subtract 35 to 12 which is 23 then u add 8 which = 31
By applying the <em>quadratic</em> formula we conclude that the roots of the <em>quadratic</em> equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
<h3>How to find the roots of a quadratic equation </h3>
All <em>quadratic</em> equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the <em>quadratic</em> formula:
(1)
If we know that a = 2, b = - 4 and c = - 3, then the roots of the <em>quadratic</em> equations are:
By applying the <em>quadratic</em> formula we conclude that the roots of the <em>quadratic</em> equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
Step-by-step explanation:
124 degree angle and "3a - 2b" angle are supplementary (in a straight line -- add upto 180 degrees). So we can say and write:
124 + "3a - 2b" = 180
3a - 2b = 180 - 124
<u>3a - 2b = 56</u>
<u></u>
Now,
"2a + 3b" and "3a - 2b" are also supplementary. So we can write:
2a + 3b + 3a - 2b = 180
<u>5a + b = 180</u>
<u></u>
Lets solve this 2nd equation for b:
5a + b = 180
b = 180 - 5a
We put this into 1st equation and solve for a:
3a - 2b = 56
3a - 2(180 - 5a) = 56
3a - 360 +10a = 56
13a = 56 + 360
13a = 416
a = 416/13
a = 32
Now, finding b:
b = 180 - 5a
b = 180 - 5(32)
b = 20
So,
a = 32, b = 20
The answer is True
It takes a distance of 6 to get from -6 to 0, and it takes another distance of 1 to get from 0 to 1.
Altogether, the total distance from -6 to 1 is 7
we know that
Francine uses cup of pineapple juice for every cup of orange juice to make a smoothie
so
by proportion
Find the number of cups of pineapple for one cup of orange juice
therefore
<u>the answer is</u>