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2 years ago

Find the value of x 3^x = 9²

Mathematics

2 answers:

pashok25 [27]2 years ago

5 0

Answer:

x = 4

Step-by-step explanation:

$3^{x} =9^{2}$

if:

$9^{2} =3^{4}$

then:

$3^{x} =3^{4}$

$x=4$

Hope this helps

ale4655 [162]2 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

$3^{x} =9^{2}$

$3^{x} = 81$

$xln(3) = ln(81)$

x = $\frac{ln(81)}{ln(3)}$

x = 4

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What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km

aleksandrvk [35]

Answer:

105.5664, or 93 + 4 pi

Step-by-step explanation:

84 + 9 + 4 pi

equals 105.5664, or 93 + 4 pi

Break the shape into common shapes.

12 times 7 (rectangle) = 84

3 times 3 (square) = 9

7 0

3 years ago

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Only number one please help

Alex73 [517]

Answer:

C) 75 + 50x = 25 + 70x

Step-by-step explanation:

ABC Tech:

$50 an hour. So,for x hours= 50 * x = 50x

Service charge = 75 + 50x

Tech Squad:

$70 an hour. So,for x hours= 70 * x = 70x

Service charge = 25 + 70x

C) 75 + 50x = 25 + 70x

50x - 70x = 25 - 75

-20x = -50

x = -50/-20

x =5/2 = 2 $\frac{1}{2}$ hours

6 0

3 years ago

your school sold 456 tickets for a high school play. An adult ticket cost $3.50. A student ticket cost $1. Total to ket sales eq

Svet_ta [14]

A + s = 456........a = 456 - s
3.5a + s = 1131

3.5(456 - s) + s = 1131
1596 - 3.5s + s = 1131
-3.5s + s = 1131 - 1596
-2.5s = - 465
s = -465/-2.5
s = 186 <====== student tickets sold

a + s = 456
a + 186 = 456
a = 456 - 186
a = 270 <==== adult tickets sold

7 0

3 years ago

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Yuri [45]

The answer would be 21 because its the same length as the other side.

5 0

3 years ago

~~ Find the value of x ~~3^x = 9² ​

Find the value of x 3^x = 9²