Explanation:
The minimum number of points needed to draw a strait line graph is 2. However, 3 is better as one of them forms a check. They should all line up. If not then something is wrong.
Lets determine 2 points
The line will 'cross' the y axis at
x
=
0
and cross the x axis at
y
=
0
So we can determine these points (intercepts) by substitution.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For y-intercept set
x
=
0
giving:
y
=
2
x
.
.
+
2
y
=
(
2
×
0
)
+
2
→
y
=
2
So y-intercept is at the point
(
x
,
y
)
=
(
0
,
2
)
For x-intercept set
y
=
0
giving:
0
=
2
x
+
2
Subtract
2
from both sides
0
−
2
=
2
x
+
2
−
2
−
2
=
2
x
+
0
Divide both sides by
2
−
2
2
=
2
2
×
x
But
−
2
2
=
−
1
and
2
2
=
+
1
−
1
=
x
So the y-intercept is at the point
(
x
,
y
)
=
(
−
1
,
0
)
Answer:
100%
Step-by-step explanation:
The problem states that all pencils are yellow and no other color, so the only outcome is yellow.
a.
b=cost per burrioto
t=cost per taco
b.
3 burritos and 4 tacos costs 11.33; 3b+4t=11.33
9 burritos and 4 tacos costs 22.07; 9b+4t=22.07
c. solve
3b+4t=11.33
9b+4t=22.07
mulitply irst equation by -1 and add to 2nd to cancel t's
-3b-4t=-11.33
<u>9b+4t=22.07 +</u>
6b+0t=10.74
6b=10.74
divide both sides by 6
b=1.79
subsitute back
3b+4t=11.33
3(1.79)+4t=11.33
5.37+4t=11.33
4t=5.96
divide both sides by 4
t=1.49
solution: 1 taco costs $1.49 and 1 burrito costs $1.79
The answer for PA is 60/13. This is found by
The area of the rectangle is 60, therefore, the big triangle areas are 30 each. We know that the hypotenuse is 13, so therefore, we get
1/2(13*PA) = 30. This then simplifies to
13 * PA = 60, which then turns into
PA = 60/13.
Hope this helps and have a nice day:)
Answer:
1059
Step-by-step explanation:
Using BODMAS rule,
893 + 83 x 2
= 893 + ( 83 x 2 )
= 893 + 166
= 1059
