solve for x by writing the logarithm in exponential form
log3(3^4)=x

Answer:

Your  picture Is blocked for me

Answer:

2x + 79= 0

2x = -79

X = -79/2

X = -39.5

Answer:

Step-by-step explanation:

1) y  = 2x  ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6        {Add like terms}

  3x    = 6

       x = 6/3

      x = 2

Plugin x = 2 in (I)

 y = 2*2

y = 4

Check:

     LHS = x +y

             = 2 + 4

            = 6  = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y     ------------(II)

Substitute x = (-1/2)y in (I)

[tex]5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}[/tex]

Substitute y = (2/5) in equation (II)

[tex]x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}[/tex]

Check:

Substitute x and y value in equation (I)

[tex]LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS[/tex]

3) y - x = 3x + 2

        y = 3x + 2 + x

         y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14     ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

        14x + 6 = 14

              14x = 14 - 6

              14x = 8

                 x = 8/14

            x = 4/7

Substitute 'x' value in (I)

[tex]y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}[/tex]

Check:

[tex]LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS[/tex]

Answer:

A. Multiply the term number by 2, then subtract 5

Step-by-step explanation:

Edge 2021

Answer:

Assuming you meant x² + 12x + 11, then it would be expressed as:

(x + 6)² - 25

Step-by-step explanation:

The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected.  It would just be x² + 33.  Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.

x² + 12x + 11

= x² + 12x + 36 - 25

= (x + 6)² - 25

Answer: B

Step-by-step explanation: the answer is (0,1)

Answer:

The nike store offers the best deal

The saving per shirt is $2.50

Step-by-step explanation:

Here, we want to compare the prices offered in the two stores

In footlocker, you can get 3 shirts for $55.50

The sales per shirt is thus;

55.5/3 = $18.50

For Nike,

5 shirts for $79.99 which is almost $80

So the price per shirt is $80/5 = $16

We can see that the price at the nike store is better

The difference leading to the savings is;

18.5-16 = $2.50

So you save $2.50 buying from the nike store

The first common integer that comes to mind is 40, so multiple the numerator and denominator of the left fraction by 4, and the right by 5. This gives us:

36/40 and 35/40, respectively.

Thus, the left fraction is greater than the right fraction

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)

Answer:

5x = -4

Step-by-step explanation:

5x = -4

x would have to be -4/5 because -4 divided by 5 is -4/5.

The equation will be 5x = -4 to get the solution of -4 / 5.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.

The equation will be formed as below:-

5x = -4

x = -4 / 5

Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.

To know more about an equation follow

https://brainly.com/question/2972832

#SPJ6

Answer:

57.1mm^2

Step-by-step explanation:

4*4=16

16/2=8mm^2 cross section

(4*3) + (4*3) + (5.7*3) = 41.1mm

8*2=16

41.1+16=57.1mm^2

The surface area of the prism is S = 57.1 mm²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the area of the 2 triangles be T

Let the area of the 2 rectangles be R

Let the area of the third side be U

Now , the total surface area of the prism = T + R + U

where T = 2 x ( 1/2 ) ( 4 x 4 )

T = 16 mm²

R = 2 x ( 3 x 4 )

R = 24 mm²

And , U = 5.7 x 3

U = 17.1 mm²

Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²

S = 57.1 mm²

Hence , the surface area of prism is S = 57.1 mm²

To learn more about surface area of prism click :

https://brainly.com/question/9183590

#SPJ2

Answer:

35

Step-by-step explanation:

3:5

21;35

as it must be * by 7 as 3*7=21

so therefore we times 5*7 as well

so they has 35 loses

Answer:

216

Step-by-step explanation:

Answer:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the lines

y = 3/2x + 2

Finding the slope of y = 3/2x + 2

comparing with the slope-intercept form of the line equation

The slope m₁ = 3/2

y = 2/3x + 6

Finding the slope of y = 2/3x + 6

comparing with the slope-intercept form of the line equation

The slope m₂ = 2/3

So,

m₁ = 3/2

m₂ = 2/3

We know that when two lines are parallel, they have equal slopes

But  

m₁ ≠ m₂

3/2 ≠ 2/3

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × 2/3

             = 6/6

             = 1

As  

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Answer:

40/500 = 8%

Step-by-step explanation:

40/500 = 8%

So the answer is 8%/year.  The question is if the $40 is reinvested, then will the following year's return be 8% of $540 is $43.20?  If it were, this would be an example of compound returns is getting interest (or a return) on the previously earned interest. That's an 8% per annum simple yield.   You'd be better off finding something that compounded your investment.

The annual rate to return will be 8%.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Simple interest = $40

Principal amount = $500

Time = 1 year

Now,

Since, We know that;

⇒ Simple interest = P R T/100

Substitute all the values, we get;

⇒ $40 = $500 x R x 1 / 100

⇒ $40 × 100 = $500R

⇒ $400/$500 = R

⇒ R = 8%

Thus, The annual rate to return will be 8%.

Learn more about the simple interest visit:

https://brainly.com/question/25793394

#SPJ2

Answer:

bet, I pressed the picture (lol)

Step-by-step explanation:

it's B

Answer:

The answer is 3

Step-by-step explanation:

If you combine like terms you get 22x - 6 = 60

Then you set the numbers and x's apart = 22x = 66

Then you divide and get 3

Answer: The standard deviation formula may look confusing, but it will make sense after we break it down. ...

Step 1: Find the mean.

Step 2: For each data point, find the square of its distance to the mean.

Step 3: Sum the values from Step 2.

Step 4: Divide by the number of data points.

Step 5: Take the square root.

Step-by-step explanation:

Answer:

callate

Step-by-step explanation:

Answer:

a. -1

b. 14

Step-by-step explanation:

a.

5 + 3(-2)=

5 + (-6)=

-1

b.

5 + 3(3)=

5 + 9=

14

When x = -2, the value of 5 + 3x is -1,

and when x = 3, the value of 5 + 3x is 14.

Here, we have,

given equation is: 5 + 3x

To evaluate the expression 5 + 3x for the given values of x:

(a) When x = -2:

5 + 3(-2)

= 5 - 6

= -1

(b) When x = 3:

5 + 3(3)

= 5 + 9

= 14

Therefore, when x = -2, the value of 5 + 3x is -1,

and when x = 3, the value of 5 + 3x is 14.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

Answer:

What do you need help with? :P

Step-by-step explanation:

Hav a gud day :3

Answer:

its the last one third and first

Step-by-step explanation:

Answer:

convert 2/5 to a decimal, which is 0.4

multiplying a value by 10 means you should move the decimal point one unit to the right

so 10 x 2/5 = 4

Step-by-step explanation:

Answer:

i should multiply 10 by 2/5

10×2/5

=20/5

=4

Answer:

[tex]2(l + b) = {s }^{2} \\ 2(16 + b) = {13}^{2} \\ 32 + 2b = 169 \\ 2b = 137 \\ b = 68.5[/tex]