Answer:
The quotient is x² + 6x +3
Remainder = -1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given Polynomial equation
f(x) = x³+5x²−9x−7
By using synthetic division
<em> x = 2 </em> 1 5 -9 -7
<u> 0 1 12 6</u>
<u> 1 6 3 </u><em><u> -1 </u></em><u> </u>
The quotient is x² + 6x +3
Remainder = -1
Answer:
1. -370
2. 70
3. 10.75
4. 6700
5. 37.26
Step-by-step explanation:
1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.
2. Same thing as #1
3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.
4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.
5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73
Hope this helped, good luck!
Five pieces can be selected in 1287 ways
Step-by-step explanation:
When the selection has to be made without considering the order of selection, combinations are used.
The formula for combination is:
Here
Total candies = n = 13
Candies to be selected = r = 5
Putting the values in the formula
Five pieces can be selected in 1287 ways
Keywords: Combinations, selection
Learn more about combinations at:
#LearnwithBrainly
first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.
![\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B7%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%208%2B7%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B15%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B8%7D%20%5Cdiv%20%5Ccfrac%7B1%7D%7B2%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B8%7D%20%5Ccdot%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B4%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-3%2B15%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B4%7D%5Cimplies%203)
Answer:The triangle is dilated by a factor of 1/2
Step-by-step explanation:
