which exspression shows 50+30 written as a product of two ffactors

Answer:

The lie is #3

Step-by-step explanation:

The only way to solve this is by testing each equation to see if it's true. Remember that dividing powers with the same base, in this case b, means you're just subtracting the exponents.

Substituting 5 for y in #1 gives us the equation [tex]\frac{b^9}{b^5}=b^4[/tex]. This is the same as saying [tex]b^9^-^5=b^4[/tex], which is true.

Substituting 7 for z and 2 for x in #2 gives us [tex]\frac{b^7}{b^2}=b^5[/tex]. Like we did for the first one, this is the same as [tex]b^7^-^2=b^5[/tex], which is also true.

That means that #3 is a lie, but substituting 2 for x anyway gives us [tex]\frac{b^8}{b^2}=b^8[/tex], or [tex]b^8^-^2=b^8[/tex]. This is not a true statement, and x would have to equal 0 for this to be true.

The correct option regarding who should the restaurant give samples to generate a representative sample is given as follows:

All diners diners who are willing to pay for the samples.

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions.

In this problem, all the dinners who are willing to pay for the samples should be sampled, as if they are willing to pay, it means that they are interested in the new dish, hence their opinions should be considered as it would improve the restaurant's revenue with the new dish.

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Answer:

Plot each graph on the same coordinate system.

TSP

TP=12cm

T

Step-by-step explanation:

Answer: Alex Paid $175 for 40 months

Step-by-step explanation:

$4000 = y-int or b

$11000 = y

40 months = x

Slope - intercept form : Y=mx+b

We are solving for m which is the slope (How much Alex Paid per month)

11000=m(40)+4000

11000=40m+4000

7000=40m

7000/40

m=175

The Total number of registered doctors will be 246753.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Let the total number of doctors be x.

Since 23.1% of all registered doctors were female. If there were 55,700 female registered doctors that year. This will be:

23.1% × x = 55700

0.231x = 55700

Divide

x = 57000 / 0.231

x =246753

The doctors are =246753.

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Answer:

neither are functions

Step-by-step explanation:

For a relation to be a function each value of the input x must map to exactly one unique value in the output y

(1)

This relation is not a function since

7 → 2 and 5 → 2

Two different values of x have the same output , thus not a function

(2)

This relation is not a function since

3 → 10 and 3 → 8

Two different values of x have the same output, thus not a function

Answer:

Step-by-step explanation:

neither are functions

Answer: 168in^3

Step-by-step explanation:

6 x 7 x 4 = 168

Answer:

y = - [tex]\frac{1}{4}[/tex] x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = [tex]\frac{-1-0}{4-0}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x ← equation of line

The slope is m = RISE / RUN, and the change in y is frequently referred to as "RISE."

[tex]5*x-6*y-(42)=0[/tex]

Tiger understands that this is a straight line equation. Typically, this equation is expressed as y=mx+b (or "y=mx+c" in the UK).

A straight line drawn using the Cartesian coordinate system has the formula "y=mx+b," where "y" denotes the vertical axis and "x" denotes the horizontal axis.

In this equation, y represents how high the line rises, x represents how far it travels along, m represents the slope or gradient, or how steep the line is, and b represents the Y-intercept, or the point at which the line crosses the Y axis.

The X, Y, and slope are collectively referred to as the line properties. We will now plot the line 5x-6y-42 = 0 and determine its characteristics.

x = 0 the value of y is 7/-1 so this line "cuts" the y axis at y=-7.00000

y-intercept = 42/-6 = 7/-1  = -7.00000

y = 0 the value of x is 42/5 Our line therefore "cuts" the x axis at x= 8.40000

x-intercept = 42/5  =  8.40000

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The equation of the transformed function is (c) g(x) = 4(1/3x)²

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = horizontally shrunk of f(x) by a factor 1/3 and vertical stretch by a factor of 4

The above equations implies that, we have the transformation to be:

Mathematically, this can be represented as

g(x) = 4f(1/3x)

Substitute the known values in the above equation, so, we have the following representation

g(x) = 4(1/3x)²

Hence, the transformed function si g(x) = 4(1/3x)²

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Answer:

8m = 800cm

8m = 0.008km

Step-by-step explanation:

1 kilometer is 1000 meters

1 meter is 100 centimeters

You'd only have to multiply in the first one:

[tex]8 \times 100 = 800[/tex]

8m = 800cm

Remember that when multiplying by 100 you only have to add zeros.

For km, as it is bigger than m you have to divide by 1000, when dividing this time you only have to carry an imaginary point starting from right to left, the amount of zeros there are:

[tex]8. \\ .8 \\ .08 \\ .008 \\ 8 \div 1000 = .008[/tex]

8m = 0.008km

If you run out of numbers when carrying the point, just add zeros.

The sequence of transformations that can generate the transformed image are the reflection of the quadrilateral across the y - axis, followed by the graph transformation (x - 2, y - 0). At the end, image is reduced by a scale factor of [k].

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

Given is a quadrilateral ABCD and its transformed form.

The following transformations are done to obtain the transformed image -

Therefore, the sequence of transformations that can generate the transformed image are the reflection of the quadrilateral across the y - axis, followed by the graph transformation (x - 2, y - 0). At the end, image is reduced by a scale factor of [k].

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Answer:

-------------------

Step-by-step explanation:

The score of the netball team in 5th game is 26.

A number that is calculated by adding quantities together and then dividing the total by the number of quantities is called average.

Given that, a team scored average 31 points in first four game, and then 30 points average in first five game.

Score in 4 games = 4x31 = 124

Score in 5 games = 5x30 = 150

Score in 5th game = 150-124 = 26

Hence, The score of the netball team in the 5th game is 26.

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The line which is parallel to the given line y=-4/3x+1 is y = -4/3x + 2

What is the equation of the line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. Key Point. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

Given that the equation of the line is:

y = -4/3x + 1                                                           ..........(1)

To find the equation of the line is parallel to the given line equation.

We know that the given equation is in the slope-intercept form

y = mx+c, where m is the slope and c, is the intercept.

Compare with given equation(1) we get

m = -4/3  and c=1

Now change the y-intercept c=1 to an intercept of c= 2

Therefore (1) becomes

y = -4/3x + 2

Hence, The equation of line y = -4/3x + 2 is the parallel line to the given equation of the line.

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Answer: -4/9

Step-by-step explanation:

12 - 8 / -18 - (-9)

4 / -18 + 9

4 / -9

- 4/9

The co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

How to co-ordinate using subtraction method?

So, the given equations are

-2x+9y=-9  ⇒ (i)

-3x+5y=12  ⇒ (ii)

(i) * 5 ⇒ -10x + 45y = -45

(ii) * 9 ⇒ -27x + 45y = 108

⇒ 17x =  153

x = 9

Now, substitute x=9 in equation (i)

-2(9) + 9y = -9

-18 + 9y = -9

9y = -9 + 18

y = 9/9

y = 1

Hence, the co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

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The correct options are B and C, or 3x-21 and -3x21, since the inequality sign must be "flipped," or reversed, whenever you multiply or divide both sides of the inequality.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Here,

Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign. This means that if you had a less than sign <, it would become a greater than sign >.

x≤-7

3x≥-21

-3x≤21

The correct options are B and C that is 3x≥-21 and -3x≤21 because anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.

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±1/2, ±1, ±7 are the possible rational roots of the polynomial function.

The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, both the constant term (the term without a variable) and the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator.

An anXn+ an− 1xn − 1 + … + a1x1 + a0 = 0  is a polynomial equation in one variable (x), where a0, a1,..., and an are regular integers. Therefore, q must divide a and p must divide a0 for a polynomial equation to have a rational solution, p/q.

It is given in the question,

F(x)=2x^2-3x+7

Here, p is a 7-fold factor.

p, thus, might have a value of 1, -1, 7, or -7.

and q is a two-fold factor.

Thus, q might have a value of 1, -1, 2, or -2.

Hence, ±1/2, ±1, ±7 are the possible rational roots of the polynomial function.

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Answer: m<a 57 degrees

Step-by-step explanation:

All of the angles are the same and equal, so all angles are 57 degrees. Including m<a

Answer: D

Step-by-step explanation:

To find the range, substitute each element in the domain into the function.

[tex]f(-5)=-2(-5+1)-2=-10\\\\f(0)=-2(0+1)-2=0\\\\f(5)=-2(5+1)-2=10[/tex]

Answer:

2/3

Step-by-step explanation:

1-1/3 is the same that   3/3 - 1/3

3/3 - 1/3 = 2/3

The value of.x will be 20 and the angles will each have a value of 90 degrees.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, The value of.x will be 20 and the angles will each have a value of 90 degrees.

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This should probably go in the ART section of Brainly, it may be confusing to people like me, who only have math on here :]

Balance is the use of even elements in a work of art, while symmetry is a type of balance, where parts of the image are mirrored.

Hope this helps,

:]

Answer:

56

Step-by-step explanation:

Top line:

100% - 80% = 20%

20% of 60 = 0.2 × 60 = 12

Small piece on top is 12.

Second line:

Small piece is 12.

100% - 60% = 40%

Small piece is also 40%.

40% of x = 12

0.4x = 12

x = 12/0.4

x = 30

The entire second line is 30.

60% of 30 = 0.6 × 30 = 18

60% of second line is 18.

Third line:

30% of third line = 18

100% - 30% = 70%

30/18 = 70/x

30x = 18 × 70

x = 42

Larger part of third line is 42.

Fourth line:

75% of 4th line is 42.

100/x = 75/42

75x = 100 × 42

x = 56

Answer: 56

Answer: The answer is 97

Step-by-step explanation:

Since Adam is above sea level, the number 73 is positive. The number 24 would be negative since it's below sea level.

73 - ( -24) = 97

To check to make sure it's right we can do this:

-24 + 97 = 73

73 - 97 = -24

An equilateral triangle is a triangle that has three equal-length sides, commonly referred to as a "regular" triangle.

Find the attachment answer

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