Answer:
x = 4
Step-by-step explanation:
Solve for x:
x - 12 + 18 = 10
Hint: | Group like terms in x - 12 + 18.
Grouping like terms, x - 12 + 18 = x + (18 - 12):
x + (18 - 12) = 10
Hint: | Evaluate 18 - 12.
18 - 12 = 6:
x + 6 = 10
Hint: | Isolate terms with x to the left hand side.
Subtract 6 from both sides:
x + (6 - 6) = 10 - 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
x = 10 - 6
Hint: | Evaluate 10 - 6.
10 - 6 = 4:
Answer: x = 4
Answer: The answer is 50%.
Step-by-step explanation: Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.
We have,
Percent Increase in labour productivity will be equal to the percent increase in the number of articles.
Increase in the number of articles after retooling = 189 - 126 = 63.
Therefore, percent increase in the number of articles is given by
Thus, the labour productivity increased by 50%.
Answer:
c. f(x)=x(x+2)(x-1)(x-4)
Step-by-step explanation:
Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.
Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.
If x = -2
ADD 2 to both sides.
x + 2 = 0
This means (x+2) is a factor.
This is enough info to select answer c. but let's verify the other factors.
If x = 1
SUBTRACT 1 from both sides.
x - 1 = 0
Thus means (x - 1) is a factor.
If x = 4
SUBTRACT 4 from both sides.
x - 4 = 0
(x - 4) is a factor.
You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.
I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.
Answer:
-3.75
Step-by-step explanation:
the opposite changes the sign from positive to negative, so the opposite of 3.75 would be -3.75
The complete question is: Henry knows that the circumference of a circle is
18π inches. What is the area of the circle?
Solution:Circumference (C) of the circle can be written as:
Using this value of radius, we can find the Area(A) of the circle.
Therefore, area of the circle having a circumference of 18π inches will be 81π inches²
