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muminat
2 years ago
10

- For the given value, state whether the inequality is true or false. -4x + 6 > 15; x = -3

Mathematics
2 answers:
katovenus [111]2 years ago
7 0

\\ \sf\longmapsto -4x+6>15

  • Put x=-3

\\ \sf\longmapsto -4(-3)+6>15

\\ \sf\longmapsto 12+6>15

\\ \sf\longmapsto 18>15

It's true

never [62]2 years ago
4 0

Answer:

true

Step-by-step explanation:

-4(-3) + 6  > 15

12+6  > 15

18 > 15

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Use The four step process to find the slope of the tangent line to the graph of the given function at any point. ( simplify your
hodyreva [135]

Answer:

The answer to your question is: 16x + 3

Step-by-step explanation:

Step 1 :      f(x) = 8x² + 3x

                f(x +h) =  8(x + h)² + 3( x + h)

                f(x + h) = 8( x² + 2xh + h²) + 3( x + h)

                f (x + h) = 8x² + 16xh + 8h² + 3x + 3h

Step 2 f(x+h) - f(x) =  8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)

                              = 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x

                              = 16xh + 8h² + 3 h

Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h

                                    = 16x + 8h + 3

Step 4 lim  f(x + h) - f(x)/ h = lim 16x + 8h + 3  = lim 16x + 8(0) + 3 = 16x + 3

        h ⇒0                           h ⇒0                     h ⇒0

3 0
3 years ago
Determine (a) the slope of the line parallel to the line whose slope is m=2 and (b) the slope of the line perpendicular to the l
kotykmax [81]

Answer:

(b) \displaystyle -\frac{1}{2} = m

(a) \displaystyle 2 = m

Step-by-step explanation:

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], whereas Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [SLOPES].

I am joyous to assist you anytime.

7 0
3 years ago
-x^2+4x-8 <br>axis of symmerty​
V125BC [204]

Answer:

\boxed {\boxed {\sf x=2}}

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

x=\frac{-b}{2a}

First we must determine a and b from the quadratic: -x^2+4x-8. This is in standard form, with the highest power first in descending order.

Standard form is also: ax^2+bx+c

If we compare this to the quadratic given, we can conclude that:

a= -1 \\b= 4 \\c= -8

Substitute the values for a and b into the formula.

x= \frac{-(4)}{2(-1)}

Multiply in the denominator.

x=\frac {-4}{-2}

Divide.

x=2

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

8 0
3 years ago
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