What expression is equivalent to 4 to the power of 4 times 4 to the power of -9

Answer:

b(x) = 10x - 30

Step-by-step explanation:

You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).

This gives the equation b(x) = 10x - 30

or y= 10x - 30

The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the function -

f(x) = 10x

We have the function -

f(x) = 10x

Now -

b(x) = f(x) - 30

b(x) = 10x - 30

This is the equation of a straight line.

Refer to the graph attached.

The slope of the line is [m] = 10

The [y] intercept is at [c] = - 30

Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

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Answer:

half apart

Step-by-step explanation:

hope it help you

Answer:

$50,000 at 8%; $150,000 at 6%

Step-by-step explanation:

$50,000 x .08 = $4000

$150,000 x .06 = $9000

$4000 + $9000 = $13,000

Step-by-step explanation:

Area of a trapezium  = ¹/₂ (a + b) h

But the height isn't given. So we have to solve for it.

h = √(10² - 6²)         [using the Pythagorean theorem]

  =  8

∴ Area of the shape =   ¹/₂  (13 + 28) 8

                                 =  164 u²

Based on the given diagram, the length of FA is 51 units

Find the diagram attached. From the diagram;

AG = 2GF

Given that:

AG = 5x + 4

GF = 3x - 1

Substitute the given parameters into the formula;

5x + 4 = 2(3x - 1)

5x + 4 = 6x - 2

5x - 6x = -2 - 4

-x = -6

x = 6

Get the FA = 5x + 4 + 3x - 1

Substitute the value of x into the expression:

FA = 8x + 3

FA = 8(6) + 3

FA = 48 + 3

FA = 51 units

Hence the length of FA is 51 units

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Answer:

51 units

Step-by-step explanation: took the test on ed and got it right

solving for the inverse of y = x² + 12x

Line 1:    x = y² + 12 x.      

Line 2    y² = x - 12 x.  

Line 3 is y²= - 11 x.

Line 4 is y = √(- 11x)  for x ≥ 0.

The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.

As such Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Since Line one is wrong, it messes with all the other lines.

Answer:

Step-by-step explanation:

1.x +y = 1   Yes

2. Power of variable e is 3. So, it is not a linear equation

No.

3) Great than symbol is there. No, it is not a linear equation.

4. 2x -y = 2x + 5

2x - y - 2x = 5

      -y = 5 is not a linear equation with two variable.

No.

5. No.

1) (5,14)  ; (19,7)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]

2) (-10 , 1)  ; (-10 ,4)

x- coordinate is same for both the points. So, the line is parallel to y-axis

Slope = undefined

[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]

[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]

Compare with y = mx + b  ; here m is slope

1. y = -2x - 8

slope = -2

2. x = 3

Line is parallel to y-axis.

So, slope = undefined

3.2x - y = 4

        2x - 4 = y

y = 2x - 4

Slope = 2

4.) 2x + y - 5 = 0

       y = -2x + 5

Slope = -2

Answer:

128 degrees

Step-by-step explanation:

38+90=128

Answer:

c = -20

Step-by-step explanation:

8/-0.4=-20.

8 = (-2/5) * 20

Answer:

4 units right and 3 units up.

Step-by-step explanation:

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

Answer:

35 / 9.99 = can buy 4 rounded

paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.

Answer:

The correct answer would be A!

Answer:

Answer is A

Step-by-step explanation:

Hope it helps!

Answer:

122°F

Step-by-step explanation:

F=(50×9/5)+32

= 122°F

Answer: 8

Step-by-step explanation:

The 4 times of the number 8 results to 32.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

32 is 4 times as much as what number

let the number be x.

So, 4 times of x = 32

4x = 32

Divide both side by 4.

4x/4 = 32/4

x= 8

Hence, the 4 times of the number 8 results to 32.

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Answer:

the answer is approximately 0.0003.

Step-by-step explanation:

I just searched it up

Answer:

1.  ∠ADC≅∠BCD (Given)

2.  AC¯¯¯¯¯⊥CD¯¯¯¯¯;  BD¯¯¯¯¯⊥CD¯¯¯¯¯  (Given

)3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6.  △ACD≅△BCD (ASA Steps 1, 5, 4)

△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.

1.  ∠ADC≅∠BCD (Given)

2.  AC⊥CD;  BD⊥CD  (Given

3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD≅CD (Reflex. Prop. of ≅)

6.  △ACD≅△BCD

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Answer:

r+17=8r+7

r=10+8r

r=2

Step-by-step explanation:

1.6 cups of vinegar used for 4 cups of soap.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For  5 cups of soap = 2 cups of vinegar

For 1 cups of soap = 2/5 cups of vinegar used.

Now we have to find how much vinegar required for 4 cups of soap.

So, for 4 cups of soap

=2/5 * 4

=8/5

=1.6 cups of vinegar used.

Hence, 1.6 cups of vinegar used.

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Answer:

Your answer is :

There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.

Step-by-step explanation:

Hope this helps!

There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.

These transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.

Answer:

-13x/2+1.7

Step-by-step explanation:

The difference of the given expression is - 6.5 x + 1.7.

Given that, (−2.6x+4.2)−(3.9x+2.5).

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, (−2.6x+4.2)−(3.9x+2.5)

= (-2.6x-3.9x)+4.2-2.5

= - 6.5 x + 1.7

Therefore, the difference of the given expression is - 6.5 x + 1.7.

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Answer:

Multiply  1.07  by 103. 110.21

Step-by-step explanation:

Tell me if i'm wrong. Hope this helps!

Answer:

what's the problem i know that "tickets for the school play cost 6 dollars for the adults and 3.50 for the students" but you didn't say how many people are going

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,

a + b

Is the same as

4 + 6, which equals 10.

Therefore, the value of a+b is 10

Hope this helps :)

Answer:

https://sooddan.zendesk.com

Sums are incorrect

[tex]\\ \sf\longmapsto 3a+b-(6b-2)[/tex]

[tex]\\ \sf\longmapsto 3a+b-6b+2[/tex]

[tex]\\ \sf\longmapsto 3a-5b+2[/tex]