Answer:
Step-by-step explanation:
(-6,7) & m = -2
point slope form of line : y - y₁ = m (x-x₁)
y - 7 = (-2) (x - [-6] )
y - 7 = (-2) (x + 6)
y - 7 = -2x - 2 * 6
y - 7 = -2x - 12
2x + y = -12 +7
2x + y = -5 0r y = -2x - 5
Answer:
Step-by-step explanation:
a. 5 x (c) = -35
Divide each side by 5, which is equal to -6. Remember, two negatives make a positive and one negative and one positive makes a negative.
c. 16/(x) = -4
What times what is equal to a positive 16? To solve, multiply x on both sides of the equation to get 16 = -4x then divide -4 on both sides. You'll get the answer -4. 16/-4 = -4.
e. x/(-3)= -9
Like c, multiply both sides by the denominator, so -3. You'll get x by itself for an equation like x = -9 x -3. Then multiply, remember two negatives equal a positive, so x = 27. 27/-3 = -9.
g. -5000 x y = -10,000
Divide -5000 on both sides to get the equation y = -10,000/-5000. Then solve. y= 2. -5000 x 2 = -10,000.
i. 243/x = -81
Mutiply both sides of the equation by x, so x cancels out. You'll end up getting the equation 243= -81x. Then divide both sides of the equation by -81. Now that we have 1 positive and 1 negative we know our answer has to be negative. The equation should look like 243/-81 = x, which is equal to x=-3. Thus, the answer is 243/(-3)= -81.
k. -92 x y= 184
Divide both sides by -92 to get x by itself. Then you'll get the equation y= 184/-92. y= -2 so, -92 x -2 = 184.
The consecutive even integers are 8, 10 and 12.
<h3>How to calculate the value?</h3>
Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
Learn more about integers on:
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Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
Answer:
Why is the picture dark ?
