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lions [1.4K]
3 years ago
14

Easy question!(exponents) Plz help!

Mathematics
1 answer:
NeTakaya3 years ago
4 0
X=-2/5

Steps:
6^x/3 +2 = 6^-14x/3
x/3+2 = -14x/3.
x +6 = -14x (multiply both sides by 3)
x = -14x - 6 (Substract 6 from both sides)
x + 14x = -6 (add 14x to both sides)
15x = -6 (collect like terms)
x = -2/5 (divide both sides by 15)

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Write an equation of a ine in slope-intercept form that passes through a point (4,-6) and has a slope of -3.
Sindrei [870]

Answer:

y= -3x +6

Step-by-step explanation:

<u>slope-intercept form</u><u>:</u>

y=mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -3, m= -3.

Susbt. m= -3 into the equation:

y= -3x +c

Since the line passes the point (4, -6),

(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.

y= -3x +c

when x=4, y= -6,

-6= -3(4) +c

-6= -12 +c

c= 12 -6

c= 6

Hence, the equation of the line is y= -3x +6.

7 0
3 years ago
Which of the following is not an inequality? A 435 ≥ 5p + 4 B g - 7 &lt; 100 C 18x + 9y D a &gt; 6b
sleet_krkn [62]

Answer:

C. 18x + 9y: Because there isn't an relation between the two, all the others have and inequality sign meaning you can solve them, however C does not.

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Ball B, with a mass of 30kg, is moving to the left at -10 m/s. With what velocity should Ball A, with a mass of 10 kg, move to t
tangare [24]
Initially, Ball A of 10 kg will have velocity x, while Ball B of 30 kg has velocity -10 m/s.
After collision, Ball A will have a velocity of -30 m/s, while Ball B will have velocity 10 m/s. We assume their masses do not change.
(10 kg)(x m/s) + (30 kg)(-10 m/s) = (10 kg)(-30 m/s) + (30 kg)(10 m/s)
10x - 300 = -300 + 300
x = 30 m/s (to the right)
5 0
3 years ago
The tail on Alex's dog is 51/4 inches long. This length is between which two inch-Marks on a ruler
damaskus [11]
5 and 6 inches, because it's between 5 and 6
4 0
3 years ago
Read 2 more answers
Elizabeth is a manager at a nursery and is in charge of displaying potted trees in a row Elizabeth has 150 citrus trees and 180
vampirchik [111]

Answer: the greatest number of trees that ElizaBeth can have in a row is 30

Step-by-step explanation:

given data:

citrus trees = 150

palm trees = 180

As we have to find the greatest number of trees that Elizabeth can have in a​ row, we will find the GCF or greatest common factor.

150 = 2 x 3 x 5 x 5

180 = 2 x 2 x 3 x 3 x 5

Greatest common factor is = 2 x 3 x 5 = 30

Therefore, the largest number of trees that ElizaBeth can have in a row is 30.

4 0
3 years ago
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