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caden8233
31.01.2020 •
Mathematics
Can someone me on this?
the swimming team is ordering shirts. the cost (y) in dollars of (x) shirts is calculated by using the rule y=20x+40.
a) identify the slope and y-intercept
slope:
meaning:
b) how much will 15 sweatshirts cost?
c) if the bill was $1,000, how many shirts were ordered?
2) write a rule in slope-intercept form for the linear function that has (1,5) and (4, 11)
3 y=8x-25
y=6x-5
solve the system of equations above
5.)which region indicates the intersection of the system 3x+4y> 8 and -2x+4y> 12
6) write and solve a system of equations to the following.
two times antonio; s age plus sara's age equals 35. sarah's age is also 5 times antonio's age. how old is sarah?
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Ответ:
a. y=mx+b
m=slope
b=y-intercept
y=20x+40
The slope is 20.
The y-intercept is 40.
b. y =cost
x= # of shirts
y=20x+40
15 sweatshirts would make the equation y=20(15)+40
y=300+40
y=340
15 shirts would cost $340.
c. y=20x+40
$1000 would make the equation 1000=20x+40
1960=20x
98=x
Paying $1000 would get the swim team 98 shirts.
2)
(1,5) (4,11)
(x,y) (x1, y1)
y+y1=m(x+x1)
Pick a point and substitute it into the equation.
y+5=m(x+1)
To find the slope of a line, use the following equatIon:
y-y1/x-x1
11-5/4-1
6/3=2
The slope of the line is 2. Plug it into the equation for m.
y+5=2(x+1)
Solve the equation.
y+5=2x+2
y+3=2x
Put the equation in slope-intercept form.
y=2x-3
3)
y=x-25
y=6x-5
Plug one equation into the other.
x+25=6x-5
Solve.
x+30=6x
30=5x
6=x
Now plug 6 into one of the equations.
y=6x-5
y=6(6)-5
y=36-5
y=31
The answer should be in the form of a point.
(6,31)
5) I'm sorry, don't know how to solve this. You can Google how to graph two inequalities, though.
6)
Antonio's age can be represented by x.
Sarah's age can be represented by y.
2x+y=35
5x=y
Plug 5x into the first equation.
2x+5x=35
Solve.
7x=35
x=5
Antonio is 5 years old.
To find Sarah's age, plug Antonio's age into the equation for Sarah's age.
5x=y
5(5)=y
25=y
Sarah is 25 years old.
Ответ:
add up all the money he deposited
3.98+51.02+38.52+12.70=$106.22
and all the money withdrew:
-5.23-5.22-3.50-4.39=-18.34
b-
3.50, 3.98, 4.39, 5.22, 5.23, 12.7 38.52 51.02
just look at the digits from left to right the bigger they are the bigger the number is.if they were equal look at the next digit:
example:
3.50 and 12.7
there is a 1 in 12.7 tenth place but 3.50 doesn't even have a tenth place(or rather, it has a zero on it's tenth place) so 12.7 is bigger than 3.50
c-add all deposits and subtract all withdrawals:
106.22+98-18.34=185.88