Answer:
$450
Step-by-step explanation:
Let pen's cost be x and pencil's cost be y.
6x + 5y = 2.50
3x + 2y = 1.15
Thus, 3x = 1.15 - 2y
Therefore, 6x = 2.30 - 4y
Substituting the value of 6x ;
(2.30 - 4y) + 5y = 2.50
or, 2.30 + y = 2.50
=> y = 0.20.
Substituting the value of y ;
6x = 2.30 - 4(0.20)
6x = 2.30 - 0.80 = 1.5
6x = 1.5
=> x = 0.25
Thus, 1 pen costs 0.25 $ and 1 pencil costs 0.20$.
Thus, cost of one pen is 0.25$.
Cost of 4 pencils is 0.80 $
0.25$ + 0.80$ = 1.05$
Answer:
B. y > 3x -7
Step-by-step explanation:
We can choose the correct inequality based on the y-intercept and the shading.
<h3>Y-intercept</h3>
The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.
<h3>Shading</h3>
The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...
y > ( ) . . . . eliminates choice A
and
x < ( ) or ( ) > x . . . . eliminates choice C, confirms choice B
The inequality that matches the graph is y > 3x -7.
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<em>Additional comment</em>
For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a <em>positive coefficient</em>. If the coefficient is negative, you can do either of ...
- add the opposite of that variable term to both sides of the equation
- reverse the inequality symbol
That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.
Step-by-step explanation:
Displacement = 576 m
Time taken = 32s
Now
Answer: g(x) = (x+3)^2
The answer should be in the form of a(x-h)2 + k.
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)^2
