Step-by-step explanation:
now find the area of triangle and add with the area of square and subtract with the area of circle
hope it will help you
per hour. How long will it take her to walk
35.7 miles?
Answer:
8.5 hours
Step-by-step explanation:
We know that it takes Nikki 1 hour to walk 4.2 miles.
We need to figure out how long it will take her to walk 35.7 miles.
This is our expression; 35.7 ÷ 4.2.
Let's go ahead and divide these two numbers.
(35.7 ÷ 4.2) = 8.5
So It will take Nikki 8.5 hours to walk 35.7 miles.
Feel free to give brainliest.
Have an excellent day!
Given:
The net value of the bakery (in thousands of dollars) t months after its creation is modeled by
Paul wants to know what his bakery's lowest net value will be.
To find:
The function in a different form (factored or vertex) where the answer appears as a number in the equation.
Solution:
Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.
We have,
Adding and subtract square of half of 6 in the parenthesis, we get
Vertex form:
where, (h,k) is vertex.
On comparing this equation with vertex form, we get the of the function is (3,-32).
Therefore, the vertex form is and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.
The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.
Given that,
Paul opened a bakery.
The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.
Paul wants to determine the bakery's lowest net value.
To rewrite the function in a different form,
Find the vertex of the quadratic equation.
The vertex form of a quadratic equation is given by,
v(t) = a(t-h)² + k,
Where (h, k) represents the coordinates of the vertex.
Proceed, v(t) = 2t² - 12t - 14,
v(t) = 2(t² - 6t) - 14,
v(t) = 2(t² - 6t + 3² - 3²) - 14
v(t) = 2(t - 3)² - 32
Vertex form:
v(t) = a(t-h)² + k,
where, (h,k) is vertex.
On comparing this equation with vertex form, we get the function is (3,-32).
Therefore,
The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.
To learn more about quadratic equations visit:
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3y2 − 6 = 42
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