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:
<1 = 95
<2 =85
Step-by-step explanation:
<1 = 95
They are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
<1 + <2 = 180 since they form a straight line
95+ <2 =190
Subtract 95 from each side
95-95+<2 =180-95
<2 =85
If x is the hypotenuse then
hyp^2 = 4^2 + 5^2
hyp^2 = 41
hypotenuse =
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6.403124
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if x is a leg then
leg^2 = 5^2 - 4^2
leg^2 = 25 - 16
leg^2 = 9
leg =3
Answer:
Step-by-step explanation:
1. Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.
We find that this is of the form y = mx + B where
m = 10 and B = 30
Hence slope = m = 10
Answer is 10,
and it represents the rate of change of y for a unit change in x.
2. The answer is the third option "No; the data doesn't suggest a causation, and many people are healthy who don't exercise." Correlation is two data set that are linked or connected together so in this case it would be a correlation because all of the data is close and connected to each other.
3. The answer is "Correlation, because time of day doesn't cause a person to run faster or slower ".
That's the correct answer because causation would mean there is a cause and effect and in the question, there is no cause. It can't be the last one because there is enough information. It also can't be the third one because there is a relationship since he shown he runs faster in the evening. Also I took the test and it was right!
Answer: There is a strong association between age and weight.
Step-by-step explanation:
The correlation coefficient (r) is used to describe the relationship between two variables.
If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.
Here, Variables: Age and weight.
correlation coefficient = 0.512
That means, there is a strong association between age and weight.
