Answer: No, x+3 is not a factor of 2x^2-2x-12
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Explanation:
Let p(x) = 2x^2 - 2x - 12
If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).
Compare x+3 = x-(-3) to x-k to find that k = -3.
Plug x = -3 into the function
p(x) = 2x^2 - 2x - 12
p(-3) = 2(-3)^2 - 2(-3) - 12
p(-3) = 12
We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12
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Let's see what happens when we factor p(x)
2x^2 - 2x - 12
2(x^2 - x - 6)
2(x - 3)(x + 2)
The factors here are 2, x-3 and x+2
Answer:
ans=97
Step-by-step explanation:
(i)u should use BEDMAS RULE.
122-4(6)+1
=122-24+1
=122-25
=97
Answer:
<em>A container can hold 473.176 ml</em>
<em>42.52 grams is nitrogen. </em>
Step-by-step explanation:
<u>Part A:</u>
We have given that a container holds 0.500 qt . Now we have to find how many milliliters of lemonade it can hold.
We know that 1 qt = 946.353 ml
To find how many milliliters of lemonade a container hold, we have to convert 0.500qt into ml.
As we have mentioned above that 1 qt = 946.353 ml
Multiply the volume value by 946.353
.
0.500 * 946.353
= 473.176 ml
<em>It means a container can hold 473.176 ml</em>
<u>Part B:</u>
Convert the unit oz to grams. The ratio is 1 ounce is to 28.34 grams.
We have 10.0 oz.
10* 28.34 = 283.495
This would mean 10 oz is equivalent to 283.50 grams. It is given that the fertilizer is 15% by mass nitrogen. It means for every 100 g of fertilizer 15 grams of that is nitrogen. Hence for every 283.50 grams of fertilizer
<em>283.50 * (15/100) = 42.52 grams is nitrogen. </em>
<em></em>
In order to find the answer to this question, you need to multiply the fractions. But before we do that, we need to turn the mixed fraction into a proper fraction. 1 3/4 would turn into 7/4 because you multiply the denominator by the whole number and add the numerator. So we come out with:
7/4 x 3/1 = 21/4
Can we simplify 21/4? No, we can't. However, we need to turn it back into a mixed fraction. We can do that by actually dividing the numbers. 21 divided by 4 is 5 with a remainder of 1, so we come out with our answer.
The mom is 5 1/4 feet tall :) Hope this helps!
