What is square root of 126 + square root of 56 in standard form
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How would i do this problem slope= -2, y-intercept = 7
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SINCE the slope is -2 it would be like this -2/1 but first plot the y-intercept onto the graph and go down 2 and over 1.
the equation of the line is y=mx+c y=-2x+7
The perimeter of a rectangle is 34 units. Its width is 6.5 units. What is its length?
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If the width is 6.5 then double that to work out the two widths which would be 13. Take that from the perimeter so you're left with 21. Half 21 to work out one length which is 10.5. Length = 10.5
Share £117 in the ratio 5:2:6
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117/13=9 so then the ratio 9*5=45 9*2=18 9*6=54 45:18:54
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writers an exponential function to represent the situation. Which values should the doctor use of a and b in a function written in the form f(x)= abx, where f(x) represents the bone density after x years?
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If a patient is losing bone density at the rate of 3 % annually then it will rest: 100% - 3% = 97 %, or 0.97 of a bone density. The doctor should use a function: a = 1,500, b = 0.97
Solve the following system of equations by the substitution method.8x = 2y + 5
3x = y + 7
What is the solution set?
{(-41/2, -9/2)} {(-9/2, -41/2)} Ø
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8x = 2y + 5 3x = y + 7
We will use the second equation to substitute in the first one. Here's how to do it: 3x = y + 7 y = 3x - 7 (now substitute this in the first equation)
8x = 2y + 5 8x = 2(3x - 7) + 5 8x = 6x - 14 + 5 8x = 6x - 9 6x - 9 = 8x 6x - 8x = 9 -2x = 9 x = -9/2 (this is the first coordinate, now we need to find y)
We use the second equation again: 3x = y + 7 y + 7 = 3x y + 7 = 3(-9/2) y + 7 = -27/2 y = -27/2 - 7 y = -27/2 - 14/2 y = -41/2 (this is the second coordinate)
This means that the solution set is the second option: {(-9/2, -41/2)}