Answer:
16/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
<span>There are 2 pints of blue and 2 pints of yellow in the bucket.
To be 80% yellow, the new color will be (100%-80%=) 20% blue.
2 pints is 20% of (2 pints/0.20=) 10 pints.
With 4 pints in the bucket, to make 10 pints you should add
(10 pints-4 pints=) 6 more pints of yellow paint.
ANSWER: You should add 6 pints of yellow to the 4 pints of green in the bucket to make the new color that is 80% yellow.</span>
Answer:
5.45 hours.
Step-by-step explanation:
The formula =
P = P0(10)t
In this circumstance, P0 = 275, P = 15,000 and t = ?
Applying the values into the formula:
P = P0(10)t
15,000 = 275 × (10) × t
15,000 = 2750t
t = 15,000/2750
t = 5.45 hours
The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is
Here f(x) = -12
Substitute f(x) and solve for x
By subtracting 3 on both sides
By dividing -5 on both sides
We get absolute values for the function.
By subtracting 1 on both sides
Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
Learn more about function here: brainly.com/question/12431044
#SPJ1