The ratio of men to women in a certain factory is 3 to 4. There are 222 men. How many workers are there?

Answers

Answer 1
Answer: The ratio of men to women in a certain factory = 3:4
The total number of men in the factory = 222
Let us assume the common ratio to be = x
Then
3x = 222
x = 222/3
  = 74
Then
The total number of women workers in the factory = 4 * 74
                                                                                 = 296
So
The total number of workers in the factory = 296 + 222
                                                                    = 518
From the above deduction we can easily conclude that there are a total of 518 workers in the factory.

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Given 2 points on a graph, write the equation of the graph. Vertex (3,5). Point(5, -3)

Answers

we know that
for
y=a(x-h)^2+k
vertex is (h,k)
given vertex is (3,5)
y=a(x-3)^2+5
we are also given
(5,-3)
x=5 and y=-3 is a possible solution

-3=a(5-3)^2+5
-3=a(2)^2+5
minus 5 both sides
-8=a(4)
-8=4a
divide by 4 both sides
-2=a


the equation is
y=-2(x-3)^2+5

If: 2=6, 3=12, 4=20, 5=30, 6=42, 9=??

Answers

2*3=6, 3*4=12, 4*5=20, 5*6=30, 6*7=42, 7*8=56, 8*9=72, 9*10=90. 90 is your final answer
 your answer would be 9=72 they are just multiplying the first number by 3 then 4 then 5 and so on and so on 

State the x-coordinate of the x-intercept in quadrant II for the function below.f(x)=x^3-x^2-x+1

Answers

The x-coordinate of the x-intercept in quadrant || for the given function is -1.

x = -1.

What are coordinates?

Coordinates are a set of values that helps to show the exact position of a point in the coordinate plane.

We have,

x-intercept in quadrant ||.

f(x) = x³ - x² - x + 1

x-intercept means y = 0 so,

f(x) = y

0 = x³ - x² - x + 1

We see that,

when x = -1 we get,

f(x) = -1 - 1 + 1 + 1 = 0

When x = 1 we get,

f(x) = 1 - 1 - 1 + 1 = 0

But we can not take x = 1 because in quadrant || x is a negative value.

Thus,

The x-coordinate of the x-intercept in quadrant || for the given function is -1.

Learn more about coordinates here:

brainly.com/question/721528

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ANSWER

The x-coordinate of the x-intercept of the function f(x)=x^3-x^2-x+1 is -1.

EXPLANATION:

The x-intercept refers to the point where the function meets or cuts the x-axis.


At the x-intercept, f(x)=0.


This means we have to equate the whole function to zero and solve for x.


x^3-x^2-x+1=0


According to the rational roots theorem, the possible rational roots of the equation x^3-x^2-x+1=0 are \pm 1.


We now plug in these possible rational roots to see which of them are real roots.


f(1)=1^3-1^2-1+1


f(1)=1-1-1+1


f(1)=-1+1


f(1)=0


Since f(1)=0, x=-1 is a root.



By the factor theorem, x+1 is a factor of the function.


We now divide the polynomial function,  x^3-x^2-x+1=0 by x+1   to find the remaining roots.


See long division in diagram.


This means that f(x)=(x+1)(x^2-2x+1).

Or

f(x)=(x+1)(x-1)^2


\Rightarrow (x+1)(x-1)^2=0

Hence the roots are x=1 or x=-1


In the second quadrant the x-coordinate is negative


Therefore, the x-coordinate of the x-intercept of the function f(x)=x^3-x^2-x+1 is -1.

See graph in attachment









Can you name the trigonometric expression that is equivalent to the following expression 1/secant of x?

Answers

The answer to your question is:  Yes, I can.


You haven't asked for the trigonometric expression, but here it is anyway:

The  cosine  function is the reciprocal of the secant function.

Volume of a cone is 593.46 cubic in, the radius is 9in what is the height to the nearest inch?

Answers

equation for volume of cone: v = π*r²*(h/3)
substitute the variables with the known number values:
593.46 = V
r = 9
Solve for h
(593.46) = π*(9)²*(h/3)
Solve for h! :-)

HELP ASAP!!!!!!!!!

NEED ANSWER NOW

Answers

Answer:

a=5

Step-by-step explanation:

you would divide 245 by 49 to get a

a= 5