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2 years ago

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Solve for x in the equation x2 + 4x-4=8.

1 answer:

iren [92.7K]2 years ago

7 0

${x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6$

<u>Answer</u><u>:</u>

x = -6 or x = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

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16 multiply 7/8 in simplest

denpristay [2]

Answer: 14

= 16 x (7/8)
= 8 goes into 16 2 times
= 2 x 7
= 14

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2 years ago

An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object i

natima [27]

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

For more explanation, refer the following link:

brainly.com/question/17978382

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4 0

1 year ago

Identify whether the given pairs of events in a roulette game are mutually exclusive. Drag the items on the left to the correct

xxTIMURxx [149]

Answer:

Correct

not mutually exclusive events 1 to 12 and red

Correct

mutually exclusive events 1 to 12 and 25 to 36

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not mutually exclusive events 1 to 18 and odd

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mutually exclusive events black and red

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not mutually exclusive events even and black

Step-by-step explanation:

4 0

2 years ago

Find the value of x which satisfies the following equation.<br> log2(x−1)+log2(x+5)=4

weqwewe [10]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: x = 3$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4$

$\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4$

[ log (x) + log (y) = log (xy) ]

$\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4}$

$\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16$

$\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0$

$\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0$

$\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0$

$\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0$

$\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0$

$\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3$

The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

$\qquad \tt \rightarrow \: x = 3$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

4 0

1 year ago

Based on its degree, what kind of polynomial is this?<br> h(x) = 4x^4 + 2x - 5

cestrela7 [59]

Answer:

Quartic

Step-by-step explanation:

Given

$h(x) = 4x^4 + 2x - 5$

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

5 0

2 years ago