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3 years ago

What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial?

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Take 1/2 of linear coefient and square it
14/2=7
7^2=49
c=49

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2 over 7x +8=22 solve for x

yanalaym [24]

In this question the answer is x is equal to exactly 1.749... Or 1.75

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3 years ago

NO LINKS!!!!!! Please please help me!!! ASAP

nydimaria [60]

Answer:

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Step-by-step explanation:

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3 years ago

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

$g(x) = n * \sqrt[3]x$

$g(x)=-2\sqrt[3]x$

or:

$g(x) = -2f(x)$

4 0

3 years ago

HELP

larisa86 [58]

It looks like the parabola are going down, so the coefficient should be negative,
B or C,
then we see that the parabola has x -intercepts (1,0) and (5,0)
these roots should be written as multiples
x=1, so x-1=0
and
x=5, so x-5=0,
so (x-1)(x-5) and negative first coefficient -2 at the same time.
We can see only in the
B. <span>f(x) = –2(x – 5)(x – 1)</span>

7 0

3 years ago

Read 2 more answers

Please help me with these rotation problem.

FrozenT [24]

Answer:

see below

Step-by-step explanation:

In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)

I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.

As always, the rotation transformations are ...

180° — (x, y) ⇒ (-x, -y)

270° — (x, y) ⇒ (y, -x)

3 0

3 years ago