Answer:
<h3>87 feet</h3><h3>1. You can find the value of the vertex of the parabola as following:
</h3><h3 /><h3 /><h3 /><h3>2. Substitute values:
</h3><h3 /><h3>a=-16
</h3><h3 /><h3>b=70
</h3><h3 /><h3>Then:
</h3><h3 /><h3> </h3><h3 /><h3 /><h3 /><h3>3. Substitute the value obtained into the equation given in the problem. Therefore, you obtain the following result:
</h3><h3 /><h3 /><h3 /><h3>4. To the nearest foot:
</h3><h3 /><h3>h=87 feet</h3>
Step-by-step explanation:
<h3>#hopeithelps</h3><h3>stay safe and keep well</h3><h3 /><h3>mark me as brain liest pls</h3>
Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be 
in pounds and the weight of second alloy used be 
in pounds.
Total weight = 
Total weight of copper = 
Subtracting 34 times first equation from second equation,
∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
The equation of the line in this graph is y = 3/2x + 3.
Explanation:
In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
6.9
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