Answer:
(1, 2)
(2,2)
Step-by-step explanation:
The inequality Given :
y < 5x + 2
y ≥ One-halfx + 1
We can use the values in the options to see which satisfies the inequality :
(-1, 3) ; X = - 1, y = 3
3 < 5(-1) + 2 ; 3 < - 4 (not true)
(0, 2) ; X = 0 ; y = 2
2 < 5(0) + 2 ; 2 < 2 (nor true)
2 > 1/2(0) + 1
2 > 1 (true)
Using (1, 2).; x = 1 ; y = 2
2 < 5(1) + 2 ; 2 < 7 (true)
2 > 1/2(1) + 1 ; 2 > 1.5 (true)
Using (2, 2)
y < 5x + 2
2 < 10 + 2 ; 2 < 12 (true)
y > 1/2x + 1
2 > 1/2(2) + 1 ; 2
Answer:
6.86 to 2DP.
Step-by-step explanation:
7/12 = 4/DC
Cross multiply:
7DC = 4*12
DC = 48/7
= 6.857.
Answer:
Step-by-step explanation:
We have to solve the given expression,
=
=
=
=
=
=
=
Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.