Answer:
3/52
Step-by-step explanation:
The picture card are j,q k and there are 4 of each so there are 12 picture cards
P( picture card) = picture card/ total
12/52 = 3/13
Then replace the card
There are 13 clubs
P( club) = club/ total
13/52 = 1/4
P(picture,replace,club) = 3/13*1/4 = 3/52
Answer:
A, C, D
Step-by-step explanation:
Answer:
k = 13The smallest zero or root is x = -10
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note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Step-by-step explanation: Hope this helps kind of.
Answer:
y= -4/5x+33/5
Step-by-step explanation:
for questions like these, the slope is always defined as the change in y over the change in x or use the equation m=y2-y1/x2-x1.
x1=7 and y1=1
x2=-3 and y2=9
now plug these numbers in to the equation. m= 9-1 / -3-7 Or m= 8/-10 simplified to m= -4/5
now that we have the slope you can plug it in to the equation y=mx+b and get y= -4/5 + b.
to find b, the y-intercept, you can use either of the two points and the answer will be the same. for this one, I'll use (7,1).
1= -4/5 x 7+b. b= 33/5
HOPE THIS HELPS!!
