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3 years ago

The sum of two numbers is negative thirty. One number is five times the other

Mathematics

2 answers:

Mademuasel [1]3 years ago

4 0

Answer:

-25, -5

Step-by-step explanation:

Let's write a system of equations. Lets call x and y the numbers, where x is 5 times y.

x + y = -30

x = 5y

Plugging this in, we get:

5y + y = -30

y = -5

Since y = -5, we can plug this in, and see that x = -25.

vaieri [72.5K]3 years ago

3 0

Answer:

-5 & -25

Step-by-step explanation:

1st number=x

2nd number=5x

x+5x=-30

6x=-30

x=-5

5x=-25

So the numbers are -5 & -25

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Use the frequency table to find the mean number of working TV sets in students' homes. (picture attached)

LenaWriter [7]

The correct option is : 2

Explanation

For finding the mean number of working TV sets, we need to divide the total number of TV sets by the total frequency.

Now for finding the total number of TV sets, first we will multiply each number of TV sets by it's frequency and then sum up all the results.

So, the total number of TV sets

$=(0*1)+(1*8)+(2*9)+(3*4)+(4*3) \\\\ =0+8+18+12+12=50$

and total frequency $=1+8+9+4+3= 25$

Thus, the mean number of working TV sets $= \frac{50}{25}=2$

5 0

3 years ago

Plaese help i was stuck on it for a while

blagie [28]

Answer:

Step-by-step explanation:

30x2=60

60/6=10=

b=10

5 0

3 years ago

The distance on a map between two locations is 2.25 inches. If = 24 miles, what the actual distance between the two locations?

almond37 [142]

The answer would be C.

2.25 + 24 = 26.25 miles

5 0

2 years ago

The tangent to the circle x^2+y^2=18 is parallel to the tangent x+y=6

liubo4ka [24]

Answer:

y = -x - 6

Step-by-step explanation:

If we are looking for the equation of the line tangent to the circle, we have to find the first derivative of the circle function. If that tangent line is to be parallel to the given tangent line, we need to find the slope of the the given tangent line and make sure the slope of the line we are looking for is the same. First let's find the slope of the given tangent. If the given tangent is x+y=6, then to find the slope, solve for y:

y = -x + 6. So the slope of that line, and also the slope of the tangent we are solving for, is -1. Hold that thought while we find the derivative of the function. Using implicit differentiation, we find the derivative to be:

$2x+2y\frac{dy}{dx}=0$

Solving for the slope (dy/dx) gives us:

$2y\frac{dy}{dx}=-2x$ and

$\frac{dy}{dx}=\frac{-2x}{2y}$ so

$\frac{dy}{dx}=-\frac{x}{y}$

Subbing in the value of the slope we found:

$-1=-\frac{x}{y}$ so

-y = -x or, equivalently,

y = x. Now that we know that y and x are the same value, we can go back to the original circle to find out what they both are by substitution. If y = x, we make the substution:

If $x^2+y^2=18$ , then

$y^2+y^2=18$ and

$2y^2=18$ and

$y^2=9$ so

y = ±3

We will choose the negative root (you'll see why in a second) and sub that in for both y and x since y and x are th same number. Going back to the fact that the slope is -1:

y - (-3) = -1(x - (-3)) simplifies a bit to:

y + 3 = -x - 3 which gives us, in slope-intercept form:

y = -x - 6

That is the equation of the tangent to the circle that is parallel to the given tangent.

If we would have chosen the principle (or positive) root of 3, our equation would have looked like this:

y - 3 = -1(x - 3) and

y = -x + 3 + 3 so

y = -x + 6. Notice that that is the EXACT SAME EQUATION as the given tangent. That's why we have to pick the negative 3 as our root.

Good luck in your calculus class! Make sure you post your questions in here! Many of us LOVE the challenge of calculus!

3 0

3 years ago

Evaluate g(n-5) if g(x)=x^2-6/2x

Olegator [25]

G(x) = (x^2-6) / 2x

g( n-5) = ( [n-5]^2 -6) / 2(n-5) 

= ( n^2 -10n +25 -6 ) / 2(n-5) or ( n^2 -10n +25 -6 ) / (2n-10) 
Your Answer 

I did foil first and got n^2-10n+25 
then did 25-6 to get 19. 
so n^2-10n+25 is on top.////// should have been n^2 -10n +19 
and the bottom is 2(n-5) so I distributed the 2 and got 2n-10 

so n^2-10n+25 
2n-10 
= (n^2 -10n +19) / 2(n-5)

3 0

3 years ago

Read 2 more answers