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Lorico [155]
3 years ago
8

If you take a number multiply by 7 then takeaway 1,You get the same as if you took the number multiply by 5 then takeaway 8. Wha

t is the number?
Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

x = -3.5

Step-by-step explanation:

First we create the equation.

Let x = the unknown number

7x-1 = 5x - 8

Add 8 to both sides

7x + 7 = 5x

Subtract 7x

7 = -2x

Divide by 2

-7/2 = x

-3.5 = x

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2 years ago
Can you tell how many students got allowances of $15? Explain.
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Segment XY represents the path of an airplane that passes through the coordinates (2, 1) and (4, 5). What is the slope of a line
Karo-lina-s [1.5K]

Answer:

2

Step-by-step explanation:

Firstly, we will need to calculate the slope of the line formed by joining the coordinates.

The slope of that line would be : m = (y2 - y1)/(x2 - x1)

= (5 - 1)/(4 - 2) = 4/2 = 2

The slope of the line joining the coordinates is 2. Since the other line is parallel to this, it simply means the slope of the second line is 2. This is because of two lines are parallel, they will have the same slope.

6 0
3 years ago
If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f
nikklg [1K]

The quadratic function given by:


f(x)=a(x-h)^2+k, \ \ \ a\neq 0


is in vertex form. The graph of f is a parabola whose axis is the vertical line x=h and whose vertex is the point (h, k). So:


To translate the graph of a function to the right, left, upward or downward we have:

For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)


By knowing this things, we can solve our problem as follows:


FIRST.

  • Translating <em>11 units to the left:</em>

g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2


  • Then translating<em> 5 units down:</em>

g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5


Since the new function is fatter, the factor we need to multiply the term (x+11)^2 <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.


<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>


SECOND.

  • Translating <em>8 units to the right:</em>

g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2


  • Then translating<em> 1 unit down:</em>

g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1


As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.


<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>

7 0
3 years ago
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5 0
3 years ago
Read 2 more answers
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