Step-by-step explanation:
(f○g)(7)
= f(g(7))
g(7) = 7 + 2
= 9
f(9) = 4(9) .....
......
The intercepts of the third degree polynomial corresponds to the zeros of the equation
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.
Answer:
166°
Step-by-step explanation:
Let's label our triangle.
We'll name the left one, next to ∠x, ∠A.
The bottom one, next to the 97°, ∠B.
And the top one, ∠C.
We know what angle ∠A is because its a supplementary angle to the 97° one.
180° - 97° = 83°
We know that the triangle is isosceles, so that gives us ∠C as well. 83°
∠A is the last remaining angle.
The sum of the angles to our ΔABC is 180°.
∠A = 180° - ∠B - ∠C
∠A = 180° - 83°- 83°
∠A = 14°
∠x and ∠A are supplementary angles!
∠x = 180° - ∠A
∠x = 180° - 14°
∠x = 166°
The ratio of people that can be served to milligrams of baking soda needed is:
Serving : Baking Soda
2 : 1600mg
Since you want 10 people, you can multiply this ratio by 5:5 to get
10 people served = 8000mg needed
8000mg = 8 grams
Answer:
y=-1x-6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1(x-(-1)
y+5=-1(x+1)
y+5=-1x-1
y=-1x-5-1
y=-1x-6