Answer:
Y int at
(
0
,
3
2
)
X int at
(
3
,
0
)
Step-by-step explanation:
The line is easier to visualize when the equation is in slope-intercept form:
4
x
+
8
y
=
12
Divide each side by 4:
x
+
2
y
=
3
2
y
=
−
x
+
3
y
=
−
1
2
x
+
3
2
Y-intercept (plug in 0 for x):
y
=
−
1
2
(
0
)
+
3
2
y
=
3
2
X-intercept (plug in 0 for y):
0
=
−
1
2
x
+
3
2
−
3
2
=
−
1
2
x
x
=
3
Answer:
4/9
Step-by-step explanation:
Let the amount of 95% sol = a ml and
the amount of 30% sol = b ml.
So, the total amount of the compound=a+b=500 ml
As the compound is 50% solution, so
95% of a + 30% of b= 50% of (a+b)
(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]
95a + 30b = 50(a+b)
95(a/b)+30 = 50(a+b)/b [dividing both sides by b]
95(a/b)+30 = 50(a/b+1)
95(a/b)+30 = 50(a/b)+50
95(a/b)-50(a/b)=50-30
45(a/b)=20
a/b=20/45
a/b=4/9
Therefore, a:b=4:9
As a+b= 500 ml, so the amount of 95% sol =
ml
and the amount of 95% sol =
ml
Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2
(women who prefer mountains)/(total women) = 0.302/(0.302 + 0.236)
= 0.302/0.538 ≈ 0.561 = 56.1%
Answer: No, 8(4x-3) does not equal to 12x-3.
Step-by-step explanation:
To find out whether it is equal or not, you solve first:


-Result:
