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LiRa [457]
3 years ago
11

Solve the exponential equation for x

Mathematics
2 answers:
34kurt3 years ago
8 0

216 = 6^3

so

216 = 6^(4x + 11)

6^3 = 6^(4x + 11)

3 = 4x + 11

4x = 3 -11

4x = - 8

 x = -2

hichkok12 [17]3 years ago
8 0

Answer:

the value of x=-2

Step-by-step explanation:

216=6^{4x+11}

To solve for x  we need to make the same base on both sides

we need to get same base 6 on both sides of the equation.

216 can be written as 6 times 6 times 6 =6^3

6^3=6^{4x+11}

Both sides have same base, so we equate the exponents

3=4x+11

Subtract 11 on both sides

-8=4x

Divide both sides by 4

-2=x

So the value of x=-2

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Levart [38]

Answer: 12

Step-by-step explanation:

One yard is three feet. So three times four is 12 because it makes four yards in total with each side being a yard.

3 0
3 years ago
2z -5(z +2) = -8 - 2z<br><br> Please explain!! Thank you
Korolek [52]

Follow PEMDAS.

You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.

so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.

Now you have the equation 2z-5z-18=-2z

Now combine like terms. 2z-5z= -3z

Now you have the equation -3z-18=-2z

Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z

Now you have -18= 1z

Now you divide. -18 divided by 1 is -18.

So your final answer will be -18=z

7 0
3 years ago
Help pleaseeeeeeeeee
sergij07 [2.7K]

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

<em>Check</em>

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

5 0
3 years ago
Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
Which equation represents the line that contains the point (-2, 9) and is perpendicular to the line y = 2x + 6?
olganol [36]
Y=-1/2x+8

perpendicular means slope is opposite reciprocal so it would be -1/2

y=-1/2x+b
Plug in points and solve for b
B=8
7 0
3 years ago
Read 2 more answers
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