What is the scale factor ? And given that QY’ = 4.125 what is QY?

When I triple my number and add five i get 26. what is my number?

pentagon [3]

$x- number\\\\
triple\ number:\ \ 3x\\\\
3x+5=26\ \ |-5\\\\
3x=26-5\\\\
3x=21\ \ |:3\\\\ x=7\\\\Number\ is\ equal\ to\ 7.$

8 0

3 years ago

Mark ran 213 mi. and Shaun ran 315 mi. Find the difference in the distance that they ran.

Nutka1998 [239]

102 miles you subtract them and get the results

3 0

2 years ago

How do you solve this??? I need it fast please help with steps.<br> (x+3)(x+1)^2(x−4)>0

scZoUnD [109]

Answer:

x < -3 or x > 4

Step-by-step explanation:

The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).

The factors tell you the following about the zeros:

x = -3 . . . sign change from + to -

x = -1 . . . graph touches, but no sign change. - on either side of x=-1

x = 4 . . . sign change from - to +

__

The function will be positive for x < -3 and for x > +4.

_____

<em>Additional comments</em>

The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.

However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.

The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).