Te x intercepts are where the graph crosses the x axis or wher y=0
the y intercept is where the graph crosses the y axis or where x=0
to find vertex, here is a hack
the x coordinate of the vertex for an equation in form ax^b+bx+c=y is -b/2a
so
y=3x^2+12x+7
-b/2a=-12/2(3)=-12/6=-2
sub that back
y=3(-2)^2+12(-2)+7
y=3(3)-24+7
y=9-17
y=-8
vertex is (-2,-8)
intercepts
x intercept is where y=0
0=3x^2+12x+7
using quadratic formula
x=(-6-√15)/3 and (-6+√15)/3
xints at ((-6-√15)/3,0) and ((-6+√15)/3,0)
yint is where x=0
set x=0
y=7
yint is at y=7 or (0,7)
vertex at (-2,-8)
xints at x=
and
or at the points
and
yint at y=7 or at (7,0)
Hi there! :)
<u>Answer:</u>
Jaime has 30 dimes in his pocket.
Step-by-step explanation:
First off, you need to know that:
A <em>quarter</em> is equal to = <u>$0.25</u>
A <em>dime</em> is equal to = $0.10
Jaime has 6 quarters, which means that he has 6 times $0.25:
6 × 0.25 = <u>$1.50</u>
Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:
4.50 - 1.50 = <u>$3</u>
Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:
3 ÷ 0.10 = <u>30</u> → YOUR ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
215 years.
Step-by-step explanation:
-206, otherwise known as 206 BC, and +9, otherwise known as 9ad are the time period in between when the Han dynesty ruled China. You add the two of their absolute values, which are 206 and 9, to find out. 206+9=215 years. Please mark my answer as brainliest!
The coefficient of determination is the ratio of the sum of squares regression and the ssy
The sum of squares regression is 27
<h3>How to determine the sum of squares?</h3>
The given parameters are:
Coefficient of determination, R^2 = 0.12
SSy = 225
The coefficient of determination is calculated as:
R^2 = SSR/SSY
So, we have:
0.12 = SSR/225
Make SSR the subject
SSR = 0.12 * 225
Evaluate the product
SSR = 27
Hece, the sum of squares regression is 27
Read more about coefficient of determination at:
brainly.com/question/17237825