Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
The correct should 356 yards^2
to solve this you simply add the are of the two squares after you calculate the area for each of them.
Answer:
The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.Step-by-step explanation:
The cosine of an angle is equal to the ratio of the length of the adjacent side and the length of the hypotenuse. In equation form:
cos x = BC / y
Solving for BC
BC = y cos x
BC is the distance between the Earth and the sun
Answer:
2.09 × 10¹⁰ pounds
Step-by-step explanation:
The American chemical industry produces more than 9.5 million metric tons of sodium carbonate.
in this problem we have to calculate the amount in pounds of sodium carbonate are produced annually.
so we will convert the amount of 9.5 million metric tons to pounds.
Since in 1 metric ton = 2204.62 pounds
Hence, 9,500,000 metric ton = 2204.62 × 9,500,000
= 20943890000 pounds
= 2.09 × 10¹⁰ pounds
2.09 × 10¹⁰ pounds of sodium carbonate are produced annually.
Answer:
4.543 billion years
Step-by-step explanation:
