Solve the equation.
-8y-8=7y +22

Answer:

c = 5

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]\large\boxed{y=mx+b}[/tex]

where:

Given:

Substitute the given slope and point into the formula and solve for b:

[tex]\begin{aligned}y & = mx + b\\\implies 0 & = -\dfrac{1}{3}(-1)+b\\0 & = \dfrac{1}{3}+b\\-\dfrac{1}{3}&=b\\ \implies b&=-\dfrac{1}{3}\end{aligned}[/tex]

Substitute the given slope and found value of b into the formula to create an equation for the line:

[tex]\boxed{y=-\dfrac{1}{3}x-\dfrac{1}{3}}[/tex]

Substitute the point (c, -2) into the equation and solve for c:

[tex]\begin{aligned} y&=-\dfrac{1}{3}x-\dfrac{1}{3}\\\implies -2&=-\dfrac{1}{3}c-\dfrac{1}{3}\\-2+\dfrac{1}{3}&=-\dfrac{1}{3}c-\dfrac{1}{3}+\dfrac{1}{3}\\-\dfrac{5}{3}&=-\dfrac{1}{3}c\\-\dfrac{5}{3} \cdot 3&=-\dfrac{1}{3}c \cdot 3\\-5&=-c\\\implies c & = 5\end{aligned}[/tex]

Solution

Therefore, the value of c is 5.

The predicted height on Abby's second birthday is 33 inches

From the question, we are to determine Abby's predicted height on her second birthday

From the given information,

Abby's father could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third

On her second birthday,

Abby is 2 × 12 months = 24 months old

Thus, her height on her second birthday is

(24 + 75) × 1/3

= 99 × 1/3

= 33 inches

Hence, the predicted height on Abby's second birthday is 33 inches

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Answer:

(-2x+1)x(6x+1)x(1+2x-8x^3-16x*4)

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

add together the assets which would be 25,000 then divide 40,000 by that number 40,000/25,00=1.6

Also got it right on edmentum

A. When Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit, the cost is $27.84.

B. When Mario got $0.40 in change from buying trail mix The pounds bought will be 5.6 pounds.

A. It should be noted that Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit. The cost will be:

= (2.32 × $3.50) + (4.64 × $4.25)

= $8.120 + $19.72

= $27.84

B. From the information, Mario got $0.40 in change from buying trail mix The pounds bought will be:

20 - 3.50x = 0.40

3.50x = 20 - 0.40

3.50x = 19.60

x = 19.60 / 3.5

x = 5.6 pounds.

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Answer: 0 = 0

Step-by-step explanation: Rearrange terms: 6-2 ( -x+8 ) = 2x -10

Distribute: 6 + 2x - 16 = 2x - 10

Subtract 6 and 16: -10 + 2x = 2x - 10

Rearrange terms: 2x - 10 = 2x -10

Add ten to both sides: 2x - 10 + 10 = 2x - 10 + 10

Simplify: 2x = 2x

Subtract 2x from both sides: 2x - 2 = 2x - 2

Simplify: 0 = 0

Hope that helps!

Answer:

b) (-3)⁶/(-3)⁴

Step-by-step explanation:

Given that,

→ (-3)⁴/(-3)²

→ 81/9 = 9

Then the equivalent expression is,

→ (-3)⁶/(-3)⁴

→ 729/81 = 9

Hence, option (b) is correct.

The approximate solution to this equation 4lnx-8=12 is 143.5.

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459.

The given equation is 4lnx-8=12

4lnx=20

lnx=5

lnx= logeX

logeX=5

x=e^5

that is approximately equal to 2.7^5= 143.5

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Total number of possible hamburgers is 768

Given,

The number of condiments = 8

Total number of combinations with 8 condiments = [tex]2^{8}=256[/tex]

A customer can choose one, two or three meat patties

Total number of possible hamburgers = 256×3= 768

Hence, the total number of possible hamburgers is 768

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Answer: y=2+2x

Step-by-step explanation:

Subtract 6x from both the sides.

Divide both the sides by -3.

Thus, the value of the equation for y is .

The product of (4 x 10⁶) ×  (2 x 10⁶) is 8 × 10⁶.

Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.

Now, as per the given question;

The product of the given two number are-

= (4 x 10⁶) ×  (2 x 10⁶)

= 8 × 10⁶

Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.

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The correct question is-

Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.

There are 40 different ways to perform a symphony and then a piano concerto.

To find how many ways are there to play first a symphony and then a piano concerto:

Therefore, 40 ways are there to play first a symphony and then a piano concerto

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The angles of rotation will map the figure onto itself are 60, 120, 180....

In geometry, transformation involves changing the angle, position and/or size of a shape.

The given parameter is the shape in the figure

From the figure, we can see that the shape has 6 congruent sides

This means that the shape is a regular hexagon

The angle of rotation will map the figure onto itself is calculated as

Angle = 360/Number of sides

So, we have

Angle = 360/6

Evaluate

Angle = 60

The other angles must be a multiple of 60

i.e. 60, 120, 180....

Hence, the angles of rotation will map the figure onto itself are 60, 120, 180....

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Answer:

[tex] \sf \large \: x=6[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

6x−11=180−155

Step 1: Simplify both sides of the equation.

6x−11=180−155

6x+−11=180+−155

6x−11=(180+−155)(Combine Like Terms)

6x−11=25

6x−11=25

Step 2: Add 11 to both sides.

6x−11+11=25+11

6x=36

Step 3: Divide both sides by 6.

6x/6 = 36/6

x=6

Applying the subtraction property of equality, the number that belongs in the green box is of 9.

When we subtract an amount from one side of the equality, the same amount has to be subtracted from the other side of the equality.

In this problem, we have that;

Thus, the number that belongs in the green box is of 9.

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Using the condition for a relation to be a function, we have that items b and c are not functions.

A relation represents a function when each value of the input is mapped to only one value of the output.

In this problem, we have that:

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Using the perpendicularity concept, the values of a and b so that x is perpendicular to y are: a = 39º, b = 38º.

Two lines are perpendicular if when they intersect two angles of 90º are formed.

Hence, the condition for this problem is given by:

From condition 2, the value of a is found as follows:

3a - 27 = 90º

3a = 117º

a = 117/3

a = 39º.

From condition 3, the value of b is found as follows:

2b + 14 = 90º

2b = 76º

b = 76/2

b = 38º.

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Answer: Basically, the answer for the missing numbers are 6 and 12

Step-by-step explanation:

(i) Seems simple, I'll help

1. If 3 * 6 = (2 * 6) + (1 * 6), then simplified, it is 18 = 12 + 6

2. When 18 = 12 + 6, it becomes 18 = 18

Answer:

[tex]15\sqrt{3}i[/tex]

Step-by-step explanation:

Negative square roots are complex numbers.

The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. 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.

Consider the expression,

(-5cd - 4)( 2cd²)²

Now let x = (-5cd - 4)( 2cd²)²,

Then,

x = (-5cd - 4)( 2cd²)²

x = ( - 5cd -4 ) × (2c)² × (d²)²

x = ( - 5cd - 4) × ( 4c² ) × d⁴

x = ( -5cd - 4 ) × 4c²d⁴

Using the distributive property,

x = ( - 5cd ) ×  ( 4c²d⁴ ) - 4 ×  4c²d⁴

x = - 20 × c³ × d⁵ - 16 ×  c²d⁴

x = - 20c³d⁵ - 16c²d⁴

Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

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m∠b = 180° - x

That is the expression that represents the number of degrees of angle b.

Two angles A and B are supplementary only if their measures add up to 180 degrees.

Then we can write the simple equation:

m∠A + m∠B = 180°

In this case, we know that we have two angles a and b that are supplementary, and the measure of angle a is equal to x, where x is a variable, then using the above equation we can write:

m∠a + m∠b = 180°

Replacing the measure of angle a by the variable we get:

x + m∠b = 180°

Solving this for the measure of angle b we get:

m∠b = 180° - x

That is the expression that represents the number of degrees of angle b.

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Using logarithm properties, the expression written as a single term is:

[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]

Researching the problem on a search engine, the expression is given by:

3[2ln(x - 1) - ln(x)] + ln(x + 1).

Applying the distributive property, we have that:

6ln(x - 1) - 3ln(x) + ln(x + 1).

Applying the exponential property of logarithms, we have that the expression is:

[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)}[/tex]

The adding terms can be placed inside multiplying, the subtracting dividing, hence:

[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)} = \ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]

Hence the expression written as a single term is:

[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]

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By solving a linear equation, we can see that the measures of the segments are:

Here we have 3 collinear points, a, b, and c.

We know that the measures are:

ab = 9

ac = x + 19

bc = 2x + 18

If b is between a and c, then we should have that:

ac = ab + bc

Replacing the measures we get:

x + 19 = 9 + (2x + 18)

Now we can solve this linear equation to find the value of x.

x + 19 = 9 + 2x + 18

x + 19 = 27 + 2x

19 - 27 = 2x  -x

-8 = x

Then the measures are:

ab = 9

ac = -8 + 19 = 11

bc = 2*(-8) + 18 = -16 + 18 = 2

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The simplified expression of the given Linear expression is [tex]\frac{x}{2} - 2[/tex]

As per the question statement, we are supposed to find out the simplified expression of the given Linear expression [tex]\frac{2}{9} (\frac{9x}{4} -9)[/tex]

Before solving this, we need to be clear about the algebraic expressions basics and integers operations and how we can deduce an algebraic expression into its simplest form.

[tex]\frac{2}{9} (\frac{9x}{4} -9)\\=\frac{2}{9}(\frac{9x-36}{4} )\\=\frac{9x-36}{2*9} \\=\frac{9x}{18} - \frac{36}{18} \\=\frac{x}{2} -2[/tex]

Hence [tex]\frac{x}{2} - 2[/tex] is the simplified expression of the given Linear expression.

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The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"

Given,

The equation 0=4+q

To solve the equation we have to subtract 4 from each side, then we will get the value of q

0=4+q

0-4=4+q-4

-4=q

So we have to subtract 4 from each side

Hence, The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"

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The required line segment will terminate at the point on the graph where the airports' coordinates (x, y) are placed.

The graph's origin, or (0, 0), will serve as its initial coordinates. Kiley's home is represented by this point. You need to figure out where the line segment would terminate if you were to draw a segment from here that depicts Kiley's automobile travel from her residence to the airport.

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane. Coordinate Plane Meaning. A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Let the airports' coordinates be in this instance (x, y).

Moreover, if the slope of the line segment linking Kiley's home and the airport is m,

The line's equation will now be,

y = mx

c = 0

Because the line is passes from origin (0, 0)

When one of the airport's coordinates is known, another one might be found.

Therefore, the necessary line segment will terminate at the point on the graph where the airports' (x, y) coordinates are placed.

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