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3 years ago

What is the function f(x)=4^x-6

Mathematics

1 answer:

omeli [17]3 years ago

3 0

Please be more specific. What do you want to know?

4^x is an exponential function with base 4 and exponent x; its graph is entirely above the horizontal axis, and the curve representing 4^x continues to rise as x increases. Its y-intercept is (0,4^0), or (0,1).

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2 years ago

find the equation for the line that passes through (10, 10) that has slope -1/3. give your answer in point-slope form. you do no

chubhunter [2.5K]

Y - 10 =(-1/3) ( X - 10 )

Y = ( -1/3) X + ( 40/3)

Step-by-step explanation:

Step 1:

The basic form of Slope Intercept equation is

$Y - Y_{1} = m ( X - X_{1})$

Step 2:

Points are (10,10) and m=-1/3

Y-10 = (-1/3)(X-10)

Y = ( (-X + 10 )/3) + 10

Y =( - X / 3 ) +( 40 / 3)

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2 years ago

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2 years ago

You have 480 roses and 24 of them dies, how many per cent died?

Setler79 [48]

Answer:

Step-by-step explanation:

5% of the roses died.

480 roses = Total number of roses

24 roses = number of roses that died

24 roses that died as a percent of 480 the total is:

24/480*100= 5%

To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.

5 0

2 years ago

I need help bruv. For the function y=x^2 - 5x - 6 .

lara [203]

Answer:

a. Vertex = (2.5,-12.25)

b. y-intercept = (0,-6)

c. x-intercept = (6,0) ; (-1,0)

Step-by-step explanation:

Your equation is written as:

$y = ax^{2} + bx +c$

The easiest way to find the vertex is writing the equation this way:

$y = a(x-h)^{2}+k$

Being the vertex (h,k)

So first complete the square

$y = x^{2} -5x -6 \\y = x^{2} - 2(2.5x) -6 \\y = x^{2} - 2(2.5x) +2.5^{2} - 2.5^{2} -6 \\y = (x^{2} -2(2.5x) + 2.5^{2}) -6.25 - 6 \\y = (x-2.5)^{2} -12.25$

Vertex : (2.5,-12.25)

To find the y-intercept you need to replace the equation when x = 0 and get y

$y = (0)^{2} - 5(0) -6\\y = - 6$

To find the x-intercept you need to replace the equation when y = 0 and get x

$0 = x^{2} - 5x -6 \\0 = (x-6)(x+1)\\x = 6\\x = -1$

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2 years ago