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3 years ago

Log3 (x squared + 7x + 21) = 2

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Step-by-step explanation:

log <base a> b = x

means

a^x = b

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

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3/11 de una caja contiene 18 galletas, cuantas galletas contiene una caja?

Fynjy0 [20]

Answer:

66 galletas

Step-by-step explanation:

Si 3/11 de una caja contiene 18 galletas entonces matematicamente significa que:

$\frac{3}{11}g=18$

Donde g son las galletas, ahora vamos a aislar la variable g:

$\frac{3}{11}g=18\\\\(\frac{11}{3}) \frac{3}{11} g=18 (\frac{11}{3})\\\\g= \frac{198}{3}=66$

Entonces una caja contiene 66 galletas

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3 years ago

Mathematical Statement Justification

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

$4x+3=x-2x+5$

So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

3. Combine like terms $x$ and $-2x:$

$4x+3=-x+5$

So,

$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

4. Add $x$ to both sides:

$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

6. Divide both sides by 5:

$x=\dfrac{2}{5}$

So,

$\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}$

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3 years ago

Read 2 more answers

Samuel owns 270 comic books. He divided his comic books into two groups to store in boxes. The ratio of the groups appear below.

Anna71 [15]

The Answer Is 5.I Hope This Helps.

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3 years ago

A wire is first bent into the shape of a rectangle with width

kumpel [21]

First find the perimeter of the rectangle: 2w+2l which is 8+28=36. Then find the square root of 36 which is 6 so that is the answer.

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3 years ago

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Hal has a steel barrel with a diameter of 6 feet that can be filled to a depth of 4.6 feet with oil. What is the volume of the b

scoray [572]

Answer:

129.996 cubic feet

Step-by-step explanation:

Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

$\pi(r)^2(h)$

First, we have to find the radius, which is:

D = 2r

So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

$3.14(3)^2(4.6)$

Now, we solve. Exponents are first...

3.14(9)(4.6)

Now multiply left to right.

28.26(4.6)

129.996 cubic feet

Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!

3 0

3 years ago