the expression -8x3(7x6-3x5) is equivalent to

z = (x - 500) / 100

1.75 = (x - 500) / 100

175 = x - 500

675 = x

Answer:

A, 675

Step-by-step explanation:

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

The measurement of length and distance in mathematics, including the SI unit meter, different units, and measurement systems.

Measurement of Length, Width, Height, and Distance

Length is the measurement of the extent along the greatest dimension. The SI unit of length is the meter (m). Units of length include kilometers (km), millimeters, and micrometers.

Distance is a quantity arrived at by measurements with material or optical apparatus. It is commonly measured in meters, kilometers, feet, yards, etc. in various systems of measurement.

Customary and Metric Systems are two different systems used for measuring length and distance.

Answer:

c.

Step-by-step explanation:

[tex]\frac{5}{4}+\frac{7}{9} = \frac{5*9+7*4}{4*9} = \frac{45+28}{36} = \frac{73}{36}[/tex]

and [tex]\frac{73}{36}= 2(36) + 1 = 2\frac{1}{36}[/tex]

Convert the line equation to 'y = mx + c' form. We calculate the orthogonal distance from the point to a generic point on the line using the formula 'd = |Ax1 + By1 + C| / sqrt(A^2 + B^2)'. Solve the line equation for 'y' using the computed 'd'. This yields the point closest to (-3,1) on the line.

The subject of the question involves the algebra of straight lines, specifically finding points on lines. The given line in the question is '6x + y = 9'. We want to find the point along this line that is closest to a given point (-3,1).

First, rewrite the equation in slope-intercept form: y = -6x + 9. Now recall the formula for the shortest distance from a point to a line, d = |Ax1 + By1 + C| / sqrt(A^2 + B^2), where 'A', 'B' and 'C' are the coefficients in the equation of the line, and '(x1, y1)' is the point.

In this case, A = -6, B = 1, C = -9, and the point is (-3,1). If we plug these into the formula, we can solve for 'd'. Then we solve the given equation for 'y' using the resulting 'd' value and we get the point which is closest to (-3,1) on the line '6x + y = 9'.

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Answer:

Option 4 - domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9

Step-by-step explanation:

Given :  [tex]h(x)=(0.5)^x-9[/tex]

To find : What are the domain, range, and asymptote of h(x) ?

Solution :  

Domain of the function is where the function is defined

The given function  [tex]h(x)=(0.5)^x-9[/tex] is an exponential function

So, the domain of the function is,

[tex]D=(-\infty,\infty) , x|x\in \mathbb{R}[/tex]

i.e, The set of all real numbers.

Range is the set of value that corresponds to the domain.

Let  [tex]y=(0.5)^x-9[/tex]

If [tex]x\rightarrow \infty , y\rightarrow -9[/tex]

If [tex]x\rightarrow -\infty , y\rightarrow \infty[/tex]

So, The range of the function is

[tex]R=(-9,\infty) , y|y>-9[/tex]

The asymptote of the function,

Exponential functions have a horizontal asymptote.

The equation of the horizontal asymptote is  when

[tex]x\rightarrow \infty[/tex]

[tex]y=(0.5)^\infty-9[/tex]

[tex]y=-9[/tex]

Therefore, Option 4 is correct.

Domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9

The fraction 1/50 is equivalent to 0.02 as a decimal.

To convert 1/50 to a percent, we multiply the fraction by 100:

= 1/50 x 100

= 2%

Therefore, 1/50 is equivalent to 2% as a percent.

To convert 1/50 to a decimal, we divide the numerator (1) by the denominator (50):

= 1 ÷ 50

= 0.02

Therefore, 1/50 is equivalent to 0.02 as a decimal.

Learn more about Decimal here:

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To rewrite 5x(12+7) using the distributive property, we distribute the 5x to both terms inside the parentheses. The final answer is 95.

To rewrite 5x(12+7) using the distributive property, we need to distribute the 5x to both terms inside the parentheses.

First, let's distribute the 5 to the 12:
5 x 12 = 60

Next, let's distribute the 5 to the 7:
5 x 7 = 35

Putting it all together, we have:

5x(12+7) = 5x12 + 5x7 = 60 + 35 = 95

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The correct rewritten expression using the distributive property is [tex]\( 5x \times 12 + 5x \times 7 \).[/tex]

To rewrite the expression  5x(12+7) using the distributive property, one must multiply the term outside the parentheses, 5x , by each term inside the parentheses.

The distributive property states that  a(b+c) = ab + ac

Applying this property to the given expression, we have:

[tex]\[ 5x(12+7) = 5x \times 12 + 5x \times 7 \][/tex]

 Now, we can simplify the expression by performing the multiplication:

[tex]\[ 5x \times 12 = 60x \][/tex]

[tex]\[ 5x \times 7 = 35x \][/tex]

Combining these results, we get the final simplified expression:

[tex]\[ 60x + 35x = 95x \][/tex]

 Therefore, the expression 5x(12+7)  simplifies to 95x  when the distributive property is applied and the multiplication is carried out.

Answer:

Total money Zinnia and Ruby earned for delivering pizzas is 58x + 13 + 58y .    

Step-by-step explanation:

As given

Zinnia and Ruby earn $58 per week for delivering pizzas.

Zinnia worked for x weeks and earned an additional total bonus of $13.

Ruby worked for y weeks.

Thus

Money Zinnia earns = Money earns per week × Number of weeks + Additional total bonus .

Put all the values in the above

Money Zinnia earns = 58 × x + 13

Money Zinnia earns = 58x + 13

Thus

Money  Ruby earns = Money earns per week × Number of weeks

Put all the values in the above

Money  Ruby earns = 58 × y

Money Ruby earns = = 58y

Thus

Total Zinnia and Ruby earned for delivering pizzas = Money Zinnia earns  + Money Ruby earns

Total Zinnia and Ruby earned for delivering pizzas = 58x + 13  + 58y

Therefore the total money Zinnia and Ruby earned for delivering pizzas is 58x + 13 + 58y .                          

Answer: 2 and 4/5

Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.

[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4

Therefore, 14/5 can be written as the mixed number 2 and 4/5.

Answer:

For number 2:

Step-by-step explanation:

Final answer:

To solve the equation ky - bf = fy/m, you need to isolate the variable y. The steps are to distribute the k, add kf to both sides, and factor out y. The solution is y = (fy/m + kf)/k.

Explanation:

To solve the equation ky - bf = fy/m, we first want to isolate the variable y. Here are the steps:

Distribute the k to both terms in the equation: ky - bf = fy/m becomes ky - kf = fy/m.

Add kf to both sides of the equation: ky - kf + kf = fy/m + kf simplifies to ky = fy/m + kf.

Factor out y on the left side of the equation: y(k) = fy/m + kf becomes y = (fy/m + kf)/k.

So, the solution is y = (fy/m + kf)/k.

Final answer:

The integer 27 can be written as the product of the perfect square 9 and the integer 3, expressed as 9 x 3.

Explanation:

To write the integer 27 as a product of two integers such that one of the factors is a perfect square, we can break down 27 into its prime factors. The prime factorization of 27 is 3 x 3 x 3, which can be written as 9 x 3 because 9 is a perfect square (3 x 3).

Therefore, the integer 27 can be written as the product of the perfect square 9 and the integer 3, which is 9 x 3.