Answer:
Step-by-step explanation:
Slope-intercept form is represented by the formula
. So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:
So, the slope-intercept form is
.
Answer:
1.) Triangle is <u>1/2 x b x h (Which is option C)</u>
2.) Rhombus is<u> ½ × d1 × d2. (Which is option A)</u>
3.) Trapezoid is <u>½(b 1+b 2)h or (b1 + b2)h/2 (Which is option B)</u>
4.) Parallelogram is <u>base x height (Which is option D)</u>
Step-by-step explanation:
Answer:
1. convenience sampling method
2. simple random sampling method
3. cluster sampling method
4. stratified sampling method
Step-by-step explanation:
<u>1. convenience sampling method</u><u>:</u>
what this biologist does is to take a sample from the lake in a non random fashion. It is a non probability sampling method. And it doesn't involve selecting participants randomly.
<u>2</u><u>.</u><u> </u><u>simp</u><u>le</u><u> random</u><u> sampling</u>
the question says that the respondents who are US residents are randomly selected. Each of the resident has equal probability of being chosen
<u>3</u><u>.</u><u> </u><u>clust</u><u>er</u><u> </u><u>sampling</u><u> method</u><u>:</u>
this researcher groups the full population into 200 farms and then he picks 4 clusters randomly then he surveyed all cows in the 4 selected farms
<u>4</u><u>.</u><u> </u><u>strati</u><u>fied</u><u> </u><u>sampling</u><u> method</u><u>:</u>
The researcher shares the full voter population into several counties which are regarded as stratas. From where a simple random sampling of 50 registered voters from each of the counties are selected.
Answer:
(x2+3) • (x2+9)
Step-by-step explanation:
Factoring 
The first term is,
its coefficient is 1 .
The middle term is,
its coefficient is 12 .
The last term, "the constant", is +27
Step-1 : Multiply the coefficient of the first term by the constant 1 • 27 = 27
Step-2 : Find two factors of 27 whose sum equals the coefficient of the middle term, which is 12 .
27 + 1 = 28
9 + 3 = 12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -3
x4 + 9x2 + 3x2 + 27
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2+9)
Add up the last 2 terms, pulling out common factors :
3 • (x2+9)
Step-5 : Add up the four terms of step 4 :
(x2+3) • (x2+9)