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3 years ago

Which choice is equivalent to the quotient shown here for acceptable

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

The answer to this question is A

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Log5(x-1)+log5(x+3)-1=0

jonny [76]

Answer:

there are no real solutions

Step-by-step explanation:

$\log_5(x-1)+\log_5(x+3)-1=0\\\\\log_5(x-1)+\log_5(x+3)=1$

there is a rule that says

$\log_b(a)+\log_b(c)=\log_b(ac)$

so we have

$\log_5(x-1)+\log_5(x+3)=\log_5((x-1)(x+3))=1$

and we have the definition

$\log_a(b)=c\\\\a^{c} =b$

so we have

$5^{1} = (x-1)(x+3)\\\\5=x^{2} -1x+3x-3\\\\5=x^{2} +2x-3\\\\0=x^{2} +2x-3-5\\\\0=x^{2} +2x-8\\\\$

and using the quadratic formula we get that

there are no real solutions

3 0

4 years ago

Read 2 more answers

Fill in the table so it represents a linear function

Cloud [144]

Hdhsggdbdbdbhdhdhdbrgdgdbdbbdhdhdhdhdhdggdhdhdgdhdhdbhhhhh-

4 0

4 years ago

Howard has a garden in the shape of a rectangle. The length is 5.4 meters The width is 1.5 meters Howard will increase both the

Inessa05 [86]

The perimeter of the enlarged garden is 16.56 meters.

Step-by-step explanation:

The garden is in the shape of a rectangle.

The length of the rectangle = 5.4 meters.
The width of the rectangle = 1.5 meters.

The Rectangle is enlarged by increasing the length and width by 20%.

To find the enlarged length :

The original length 5.4 is increased by 20%.

⇒ (20/100) × 5.4

⇒ 0.2 × 5.4

⇒ 1.08

The 20% of the length is 1.08
The enlarged length is 5.4 + 1.08 = 6.48 meters.

To find the enlarged width :

The original width 1.5 is increased by 20%.

⇒ (20/100) × 1.5

⇒ 0.2 × 1.5

⇒ 0.3

The 20% of the width is 0.3
The enlarged width is 1.5 + 0.3 = 1.8 meters.

The perimeter of the enlarged rectangle is found by substituting the enlarged values of length and width in the perimeter formula.

Perimeter of the enlarged rectangle = 2 (length + width)

⇒ 2 (6.48 + 1.8)

⇒ 2 × 8.28

⇒ 16.56 meters.

∴ The perimeter of the enlarged garden is 16.56 meters.

3 0

3 years ago

Given cos t = 1/2 tan 0 find sin (t) and sec (t)

777dan777 [17]

Answer:

Sin(t) = $\frac{\sqrt{3} }{2} }$ and $sec(t) =2$

Step-by-step explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that $sec(t) = \frac{1}{cos(t)}$ then, if $cos(t) = \frac{1}{2}$ then $sec(t) =2$ .

On the other hand, if cos (t) = 1/2 ⇒ t = ± $\frac{\pi}{3}$

Then, the sin( $\frac{\pi}{3}$ ) = $\frac{\sqrt{3} }{2} }$

3 0

3 years ago

Data scored 42 points in 3 games. How many points would you expect him to make in an 11 game season?

dimulka [17.4K]

Answer:

He would score 154 points because he averages 14 points per game and 11 times 14 is 154

4 0

3 years ago