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Harrizon [31]
3 years ago
9

Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2

+ 4x - 2
x = -0.5
x = 0
x = 0.5
x = 2

Mathematics
2 answers:
Margarita [4]3 years ago
6 0

Answer:

Option 3th is correct

x = 0.5

Step-by-step explanation:

The given functions are:

Function 1: y = 4^x

Function 2: y=7x^2+4x-2

The values of function at x = -0.5, 0, 0.5 and 2 are as follow:

x values     Function 1              Function 2

-0.53                 0.5                            -2.25

0                        1                              -2

0.53                   2.086                      2.0863

2                        16                             34    

From the above table. It is clear that the quadratic function y=7x^2+4x-2  exceeds the exponential function y = 4^x at x = 0.53

Therefore, the approximate x-value in which the quadratic function exceeds the exponential function at x = 0.5

lyudmila [28]3 years ago
4 0
I believe that it is 0.5
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what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form
Andrews [41]

Answer:

<u>m = 0</u>, y = -6

Step-by-step explanation:

using point slope form :

y - y_{1} = m(x - x_{1})

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

4 0
3 years ago
On section AB, whose length is 192 cm, take the point C so that AC: CB = 1: 3. The point D is taken on the AC section so that CD
jasenka [17]

Answer:

  • 112 cm

Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

  • AC + CB = AB
  • AC + 3AC = 192
  • 4AC = 192
  • AC = 192/4
  • AC = 48 cm

<u>Find CB:</u>

  • CB = 3AC = 3*48 = 144 cm

<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

<u>Find the length of AD:</u>

  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

  • m(AD) = 36/2 = 18 cm

<u>Find the midpoint of CB:</u>

  • m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm

<u>Find the distance between the midpoints:</u>

  • x = 130 - 18 = 112 cm
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2 years ago
Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.
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Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2

6 0
3 years ago
How do you solve it?
MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

(x+2)(x-1)=0

<em>"first"</em> would be x*x, which would equal x^{2}

<em>"outside"</em> would be x*-1, which would equal -1x, or -x

<em>"inside"</em> would be 2*x, which would equal 2x

<em>"last" </em>would be 2*-1, which would equal -2

Now you need to combine the terms so that they are one after the other

x^{2}-x +2x-2

Combine like terms, and you should get:

x^{2} +x-2

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

x+2=0\\x=-2

<em>Add one to both sides.</em>

x-1=0\\x=1

ii Solution

<em>Add all the terms.</em>

x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}

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Answer:

Step-by-step explanation:

stuck under the bed??

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