Answer:
D(t) = 3 + 0.0(80 - t)
Step-by-step explanation:
The average of speed of Laura in miles per hour is given by:
S(t) = 6 + 0.1(80 - t) Equation 1
where, t is the temperature in degrees Fahrenheit.
The distance D, Laura covers at x miles per hour is given as:
D(x) = 0.5x Equation 2
We need to find the expression that models the distance that Laura runs in terms of the temperature "t"
The "x" in Equation 1 represents the average speed of Laura in miles per hour. S(t) in Equation 1 also represent the speed of Laura in miles per hour. So, we can replace x by S(t) in Equation 2 and generate an equation of Distance in terms of temperature "t" as shown below:
D(S(t)) = 0.5 (6 + 0.1(80-t))
D(t) = 3 + 0.0(80 - t)
This expression models the distance that Laura runs in 30 minutes given that it is t∘F outside at the start of her run.
This one is just some simple division, an example in the lesson is this question exact but with different numerical values. It is 14.5%, which doesn't make much sense with the context.
The answer is B, 14.5%! Feel free to ask further questions about this topic!
Answer:
Step-by-step explanation:
Please, share the answer options next time.
1) f(x) = 2x^2– x – 6 is a quadratic function.
2) The coefficients of this polynomial are a = 2, b = -1 and c = -6
2) Its graph opens up.
3) The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4
4) the y coordinate of the vertex is f(1/4), or -6 1/8
5) The vertex is at (1/4, -6 1/8)
6) The y-intercept is at f(0): 2(0)^2 - 0 - 6 = -6 => (0, -6)
Answer:
Step-by-step explanation:
What is square root of the product of the number z and itself?
Break down into smaller parts
What is the product of the number z and itself?
Product = multiply
Write an equation multiplying z by itself
z * z
Bring back the full question: What is the square root of the product of the number z and itself?
Now we can just add a 
to the front of our equation to solve the problem.
Simplify
z * z = 
In this case, the square root cancels out the exponent (), so can simplify to z.
Hope this helps :)
Answer:
B)68 by 40
Step-by-step explanation:
First we multiply this ratio by any whole number 16 : 9 . At least to get close to the option.
So I multiplied by 4
Giving me 64:36
So we remember that there is a padding of on both sides of the length and width.
This padding is 2 inch each
It's going to be
= 64+(2+2):36+(2+2)
= 68:40
