Answer:
The answer is
<h2>2.8 units </h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,3) and (-1,5)
The distance is

We have the final answer as
<h3>2.8 units to the nearest tenth</h3>
Hope this helps you
Answer:
<
<
<
< 
Step-by-step explanation:
<u>Finding the unit rate of the graph</u> :
- Take 2 points and find the slope
- ⇒ (0,0) and (12, 25)
- ⇒ m = 25 - 0 / 12 - 0
- ⇒ m = <u>25/12</u>
- The equation is : <u>y = 25/12x</u>
Now, the equations with greater unit rates (in increasing order) are :
namely, how many times does 0.4 go into 6⅓? or 6⅓ ÷ 0.4.
first off, let's convert the mixed fraction to improper, and the decimal to a fraction . We can always convert the decimal to a fraction by simply <u>adding as many zeros on the denominator as there are decimals and lose the dot atop</u>, let's do so.
![\bf 0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}~\hfill \stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{How many servings of pasta were in the dish?}}{6\frac{1}{3}\div 0.4\implies \cfrac{19}{3}\div \cfrac{2}{5}}\implies \cfrac{19}{3}\cdot \cfrac{5}{2}\implies \cfrac{95}{6}\implies 15\frac{5}{6}](https://tex.z-dn.net/?f=%5Cbf%200.%5Cunderline%7B4%7D%5Cimplies%20%5Ccfrac%7B04%7D%7B1%5Cunderline%7B0%7D%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B2%7D%7B5%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B3%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7BHow%20many%20servings%20of%20pasta%20were%20in%20the%20dish%3F%7D%7D%7B6%5Cfrac%7B1%7D%7B3%7D%5Cdiv%200.4%5Cimplies%20%5Ccfrac%7B19%7D%7B3%7D%5Cdiv%20%5Ccfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B19%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B95%7D%7B6%7D%5Cimplies%2015%5Cfrac%7B5%7D%7B6%7D)
Answer:
22.95 kg
Step-by-step explanation:
Let's say the farm stand owner starts with x kg of apples.
During the first hour, he sells 15% of the apples:
0.15 x
This means he's left with 85% of the original apples. During the second hour, he sells 20% of the remaining apples:
0.20 (0.85 x)
= 0.17 x
He's sold a total of 15% + 17% = 32% of the apples, so he's left with 68% of the apples. Continuing the pattern, the apples sold during the third hour:
0.25 (0.68 x)
= 0.17 x
He's sold 49% of the apples and is left with 51%. The apples sold during the fourth hour:
0.30 (0.51 x)
= 0.153 x
If 0.17 x = 25.5, then x = 150. So the apples sold during the fourth hour is:
0.153 (150) = 22.95
Required polynomial is (x - 4)(x + 5)(x - 7) = (x - 4)(x^2 - 2x - 35) = x(x^2 - 2x - 35) - 4(x^2 - 2x - 35) = (x^3 - 2x^2 - 35x) - (4x^2 - 8x - 140) = x^3 - 2x^2 - 35x - 4x^2 + 8x + 140 = x^3 - 6x^2 - 27x + 140