ANSWER
The correct answer is A
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<u>EXPLANATION</u>
This implies that
We solve the compound inequality to obtain,
Remember that, dividing through by negative 1 reverses the inequality sign
The solution set is
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Your answer is 80 mins, or an hour and 20 mins. You simply turn that fraction to a decimal by diving 3 with 5. This should turn out to be 0.6. Then you multiply the 24 mins with the 2 miles and it turns out to be 48. After this, you divide 48 by 0.6 and you get 80.
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer: the price of 1 yard of chicken wire is $2
Step-by-step explanation:
Let x represent the cost of one yard of landscaping fabric.
Let y represent the cost of one yard of chicken wire.
Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that
3x + 6y = 24 - - - - - - - - - - 1
Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that
6x + 3y = 30 - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
18x + 36y = 144
18x + 9y = 90
Subtracting
27y = 54
y = 54/27 = 2
Substituting y = 2 into equation 1, it becomes
3x + 6×2 = 24
3x = 24 - 12 = 12
x = 12/3 = 4
