f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value o
vlada-n [284]
The discriminant of the function is 120, and the function has 2 different x-intercepts
<h3>How to determine the discriminant?</h3>
The function is given as:
f(x) = -7x^2 + 8x + 2
The discriminant (d) is calculated using:
D =b^2 - 4ac
So, we have:
D = 8^2 - 4 * (-7) * 2
Evaluate
D = 120
Because the value of D is greater than 0, then the function has 2 different x-intercepts
Read more about quadratic functions at:
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Answer:
The 12'' one.
Step-by-step explanation:
The crust is at the perimeter of the pizza, and the pizza is a circle, so we just need to calculate the perimeter of the different pizza sizes, and see which one has a perimeter of 37.68 in.
First, you should remember that for a circle of radius R, the perimeter is:
P = 2*3.14*R
(notice that the measures in the image are the diameters of the pizzas, and the radius is half of the diameter)
The radius that we need to have if we want a perimeter of 37.68 in is given by:
P = 37.68 in = 2*3.14*R
(37.68 in)/(2*3.14) = R = 6 inches.
Then we need a pizza of 6 inches (or a diameter of 2*6 inches = 12 inches)
Then the pizza that Ms. Van Rock should get is the 12 inch one.
Answer:
63/24
Step-by-step explanation:
First you change the whole 2 to have a fraction of 48/24.
Next you have change 5/8 so its denominator has a 24. So you multiple the 8 by 3 to get 5/24. But then you have to multiply the 5 by 3 also so it is still the same fraction just bigger and you get 15/24. Now add the 15/24 with 48/24 to get 63/24.
Hope this helps!
Lateral surface area, is the area that is not including bases
so it is an area of free rectangles
3*(5*8)=3*40=120 cm²