Mathematics
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iuytyuioiuytyuiop:
Given the function h(c)=8c2−41c, solve for h(c)=42.
Give an exact answer; do not round.
(Use a comma to separate multiple solutions.)
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iuytyuioiuytyuiop:
@AZ
iuytyuioiuytyuiop:
az
iuytyuioiuytyuiop:
help? i need it
snowflake0531:
Can you use desmos?
Or....?
iuytyuioiuytyuiop:
graphing calculator or scientific calculator
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iuytyuioiuytyuiop:
or matrix calculator
snowflake0531:
I recommend desmos
iuytyuioiuytyuiop:
but desmos has different calculators
snowflake0531:
You can put in
8c^2 -41c
and also
y=41
The two points that get intersected are the points
iuytyuioiuytyuiop:
az left?!
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snowflake0531:
am i not enough?
iuytyuioiuytyuiop:
your more!!!!!!!
snowflake0531:
*you're
iuytyuioiuytyuiop:
41 is the anser?
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iuytyuioiuytyuiop:
i cnat see it
carmelle:
"cnat"
snowflake0531:
I suggest scrolling up in the graph
snowflake0531:
There are two points of intersection, one negative, one positive, look up
snowflake0531:
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snowflake0531:
See those points of intersection?
You can also click on them, and it'll tell you the exact coordinate
snowflake0531:
Or, we could also do this a different way, we can use the quadratic formula:)))))
Do you want to do that
iuytyuioiuytyuiop:
-0.8, and 6
snowflake0531:
There's something after -0.8
It's -0.85
snowflake0531:
Do you want to redo this and do it using the quadratic formula? it's nice practice
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iuytyuioiuytyuiop:
alright
snowflake0531:
Kay
Do you know the quadratic formula?
iuytyuioiuytyuiop:
i only kno a small amount
snowflake0531:
snowflake0531:
We have
42 = 8c^2 -41c
Because we want it all on one side, we do
8c^2 -41c -42
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snowflake0531:
Yea?
iuytyuioiuytyuiop:
yep
snowflake0531:
Okay, so now we plug it in:)
snowflake0531:
Look at the screenshot, and remember the a, b, and c, are from ax^2 + bx+c, aka, 8c^2-41c-42
snowflake0531:
So, first part,
-b
What is b, what is -b?
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iuytyuioiuytyuiop:
-0.85?
snowflake0531:
we have ax^2 + bx+ c
8c^2 -41c-42
a=8
b= -41
c= -42
iuytyuioiuytyuiop:
alright oh i see
snowflake0531:
So, plug it in, first step
-b
What is it
iuytyuioiuytyuiop:
-41
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snowflake0531:
b=41
what is -b
iuytyuioiuytyuiop:
im not sure
snowflake0531:
What is -(-41)
iuytyuioiuytyuiop:
41
snowflake0531:
Okay
next step
sqrt(b^2 -4ac)
What is b^2, remembering that b is -41
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iuytyuioiuytyuiop:
-41^2
snowflake0531:
So what does that equal to
iuytyuioiuytyuiop:
-1681
snowflake0531:
._.
Why would it still be negative
iuytyuioiuytyuiop:
1681
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snowflake0531:
Okay, and what is 4ac
4 times a times c
remembering that a is 8, c is -42
iuytyuioiuytyuiop:
4 * 8 * -42
snowflake0531:
So what does that equal to
iuytyuioiuytyuiop:
1344
snowflake0531:
Why did you get rid of the negative sign._.
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iuytyuioiuytyuiop:
-1344
snowflake0531:
Kk, so then what is 1681-(-1344)
iuytyuioiuytyuiop:
3025
snowflake0531:
Okay, so now we got 41 +- sqrt3025
now we gotta do the denominator
2a
a is 8
What is 2a
iuytyuioiuytyuiop:
16
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snowflake0531:
Kay
So it is
(41 +- sqrt3025)/16
Can you tell me what sqrt 3025 is
iuytyuioiuytyuiop:
55
snowflake0531:
Okay, nowww we got to the part where we have to do two equations
(41+55)/16
and
41-55)/16
Can you tell me what are the results of both
iuytyuioiuytyuiop:
96 and -14
snowflake0531:
They have to be divided by 16...
What is 96/16 and -14/16
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iuytyuioiuytyuiop:
6 and -0.875
snowflake0531:
There are your 2 answers!
So, in the future, you can do it the graphing method or use the quadratic formula
iuytyuioiuytyuiop:
graphing method!!!!!!!!!!!!!
iuytyuioiuytyuiop:
ho do i graph this Given the function h(a)=9a2+46a, solve for h(a)=−5.
snowflake0531:
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