Translate and solve the inequality. “Ten subtracted from the quotient of a number and seven is less than negative six.”

Answer:

24

Step-by-step explanation:

The Zeros of the polynomial function partially graphed below have even multiplicity are x = -3 and x = 3.

The zeros of a Polynomial graph are simply the points where the graph curve crosses the x-axis.

In simply terms, the Zeros of a function are the values of the independent variable that make the function equal to 0. Multiplicity just refers to how many copies of a given zero exist.

From the given graph, the zeros of the Polynomial function are x = 2 and x = 3 and x = -3

An odd multiplicity means the graph of the function crosses the x-axis at that point. An even multiplicity means the curve contacts the x-axis at that point and backs instead of crossing.

Thus, the odd multiplicity is at x = 3

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Answer: {(12, 3), (11, 2), (10, 1), (9, 0), (8, 1), (7, 2), (6, 3)}

Step-by-step explanation:

Each value of x corresponds to only one value of y, making the relation a function.

what is volume answer the volume is your topic for to day

Given:

1 = 1²

1 + 3 = 2²

1 + 3 + 5 = 3²

1 + 3 + 5 + 7 = 4²

1 + 3 + 5 + 7 + 9 = 5²

1 + 3 + 5 + 7 + 9 + 11 = ___

Let's find the answer and determine the pattern.

Here, we have:

1 + 3 = 4

Now, write the sum as a perfect square:

4 = 2²

For the third equation:

1 + 3 + 5 = 9

Now, write the sum as a perfect square:

9 = 3²

This means the result will be the sum written as a perfect square.

Thus, we have:

1 + 3 + 5 + 7 + 9 + 11 = 36

Now, let's write the sum (36) as a perfect square:

36 = 6²

Therefore, we have:

1 + 3 + 5 + 7 + 9 + 11 = 6²

• ANSWER:

6²

Regarding perfect squares, it is found that:

Perfect square expressions are formed with the notable products of the square of the sum or the square of the subtraction, as follows:

The constant term of perfect squares, in both cases, is given by:

b².

Since the number is squared, it will always be a positive value, meaning that a negative constant term guarantees that the polynomial is not a perfect square.

The polynomial with a negative constant in this problem has a constant of -121, hence it is not a perfect square.

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The linear function passing through the point (2,-9) that is perpendicular to the line y=x+6 is:

y = -x -7.

A linear function is modeled according to the following rule:

y = mx + b.

The coefficients of the linear function are as follows:

When two lines are perpendicular, the multiplication of their slopes is of -1.

For this problem, the line is perpendicular to line y = x + 6, which has slope 1, hence:

m = -1.

Then:

y = -x + b.

When x = 2, y = -9, hence we use this to find the intercept b as follows:

-9 = -2 + b

b = -7.

Hence the rule is:

y = -x -7.

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Answer:

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

You can first start small, seeing that both numbers are positive we can divide them by 2, and you will then get 18/30. They are still both positive so you can reduce it by 2, you will then get 9/15. Now that they are both odd you can tell they are both a multiple of 3, when you divide them by 3 you get 3/5. When you finish dividing your numbers to smaller numbers, when you notice they can not reduce to any other number, you have your simplest term.

Answer:

3/5

Step-by-step explanation:

You can first start small, seeing that both numbers are positive we can divide them by 2, and you will then get 18/30. They are still both positive so you can reduce it by 2, you will then get 9/15. Now that they are both odd you can tell they are both a multiple of 3, when you divide them by 3 you get 3/5. When you finish dividing your numbers to smaller numbers, when you notice they can not reduce to any other number, you have your simplest term.

Answer:

$2070

Step-by-step explanation:

→ Find the total cost of 12 months

750 + ( 12 × 110 ) = 2070

We solve as follows:

The solution is 36.

Answer:

Solve the inequality & graph the answer. 3)>2 14 A) v> 280: 10 B) v<--: 7 C) v> -34: D) v<-34: 11110 276 278 280 282 284 286 7 O 0 2 ++++++ +0 -40 -38 -36 -34 -32 -30 -40 -38 -36 -34 -32-30

Step-by-step explanation:

Answer: 1yd 2ft

Explanation

s we have a subtraction, we have to have the same units. Thus, in order to do so we have to consider that 1 yd = 3ft:

Then, converting 2yf to ft:

Now, we can make the subtraction:

Finally, we can convert 3 ft to one yd:

and we have 2 ft left.

We can see that the value of k is -3, then the line is:

y = -3*x + 4

By finding two points of the line, we can graph the line like in the image you can see below.

Here we have the following linear equation:

y = k*x + 4

We know that this line goes through the point (2, -2), then we can replace these values in the above equation so we get the value of k.

-2 = k*2 + 4

Solving this, we can find the value of k.

-2 - 4 = k*2

-6 = k*2

-6/2 = k = -3

So the value of k, the slope of the line, is k = -3.

Then the line is:

y = -3*x + 4

If we evaluate in x = 1, we get:

y = -3*1 + 4 = 1

So, at this point we know that the line passes through points (1, 1) and (2, -2).

Now we can draw these two points on a coordinate axis, and then connect them with a line. That will be the graph of the linear equation.

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The simplified equation is sin(2x) = 2

The trigonometry ratio is given as

2sinxcosx/sin^2x+cos^2x-1= 1

Rewrite the equation of the trigonometry formula properly

So, we have the following equation

2sin(x)cos(x)/sin^2(x)+cos^2(x) -1 = 1

Add 1 to both sides of the equation

So, we have the following equation

2sin(x)cos(x)/sin^2(x)+cos^2(x) = 2

Express 2sin(x)cos(x) as sin(2x)

So, we have the following equation

sin(2x)/sin^2(x)+cos^2(x) = 2

Express sin^2(x)+cos^2(x) as 1

So, we have the following equation

sin(2x)/1 = 2

Multiply both sides by 2

So, we have the following equation

sin(2x) = 2

Hence, the simplified equation of the trigonometry formula is sin(2x) = 2

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The ratio of blue paint to the total paint in the mixture is 5:8.

Given:

In the figure, there are 10 blocks of blue paint and 6 blocks of red paint.

Total paint in the mixture = 10+6 = 16

Ratio of blue paint to total paint = 10/16 = 5/8

Therefore, the required ratio is 5:8.

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Answer:

see explanation

Step-by-step explanation:

(a)

the angles shown are alternate interior angles and are congruent

(c)

since they are congruent , then

27x - 5 = 130 ( add 5 to both sides )

27x = 135 ( divide both sides by 27 )

x = 5

(d)

then

27x - 5 = 27(5) - 5 = 135 - 5 = 130

Answer:

She should pour 11.68 more grams

Step-by-step explanation:

If Melissa wanted to pour 30.78 grams of salt into a container and already has poured 19.1 grams she should pour 11.68 grams more

An expression for the amount of money (in nickels) in n dollars is 20n nickels.

A nickel is a five-cent coin produced by the United States Mint that is made of a copper-nickel alloy rather than silver. Because 100 cents equal one dollar and one nickel equals five cents, we conclude that 20 nickels are equivalent to one dollar.

To write an expression for the amount of money (in nickels) in n dollars,

Convert the n dollars to nickels.

1 dollar = 20 nickels

So, n dollars = 20n nickels

The required expression for the amount of money (in nickels) in n dollars is 20n nickels.

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Proportionately, the number of cups of broccoli needed for a pound of beef is B. 1 and ½ cups of broccoli per beef.

Proportion refers to the numerical quantity or relationship of one variable to another, which are set equal to each other.

Proportions, like ratios, use fractional values because they show the quantity of one variable in another.

We state proportions in fractions, decimals, or percentages.

The proportion of 3/4 pound of beef to broccoli = 9/8 cups of broccoli

3/4 pound = 0.75 pound

9/8 cups = 1.125 cups

The number of cups of broccoli for a pound of beef = 1.5 cups (1.125/0.75)

1.5 cups = 1½ cups

Thus, given the proportional relationship presented, for a pound of beef, Tyler would need 1½ cups of broccoli.

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By definition, a sample space is a collection or a set of possible outcomes of a random experiment. In our problem, we have four different outcomes. A, B, C and D. This is our sample space

Answer:

1/216

Step-by-step explanation:

[tex] \frac{1}{6} \div 6 \div 6[/tex]

[tex] \frac{1}{6} \div \frac{6}{1} \div \frac{6}{1} [/tex]

[tex] \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} [/tex]

[tex] \frac{1}{216} [/tex]

Answer:

Step-by-step explanation:

4 x - 5 y + z = 9z = - 27 + 6 x + 8 y3 x

For the linear function y = 2/3x + 1 given in this problem, we have that:

a) The slope is of 2/3 and the intercept is of 1.

b) The y-intercept is marked at y = 1 on the y-axis.

c) Using the slope and the intercept, point (3,3) is the second point used to graph the function.

d) The graph of the linear function y = 2/3x + 1 is given at the end of the answer.

In slope-intercept format, a linear function is defined as follows:

y = mx + b.

For this problem, the function is:

y = 2/3x + b.

Hence:

From the intercept, we know that point (0,1), which has x = 0 and y = 1, is part of the graph of the function.

Considering the concept of the slope, of change in y divided by change in x, we have that:

Hence point (3,3) also belongs to the graph of the given function. Given two points, we can graph a line passing through them, hence the graph is given at the end of the answer, and represents the function y = 2/3x + 1.

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The triangles PTS and POR are similar, so we can take the ratios of the side to order

We can then solve for x by collecting like terms

180x - 150x = 390 + 60

30x = 450

Divide both sides by 30

x = 450/ 30

x = 15

Given:

The triangle FTP and triangle JTA is given.

In the given triangles,

As only three angles of both triangles are similar we can not say that the given traingles are congruent.

So, Option A is correct.

This is an improper fraction since the absolute value of the numerator (1677) is greater than the absolute value of the denominator (203). We can say that this fraction cannot be reduced.

20 of the 65 percent pure fruit juice, 10 of the 90 percent pure fruit juice.

A fraction that is parts out of 100 is referred to as a percentage.100% is the totality. The percentages that make up a whole add up to 100%.When representing a percentage as a number, the % symbol is used. A decimal, fraction, mixed number, integer, or other type of number can be used.In a grid of 100 squares, shading can be used to represent a percentage.

First, we define our variables: let x be the number of pints of the first fruit drink (65% pure fruit juice), and y be the number of pints of the second fruit drink (90%pure fruit juice).

We know that there are 30 total pints of the mixture. Thus:

x+y=30

We also know that 90%of those 30 pints will be pure fruit juice, and all of the pure fruit juice will come from xor y.

For x pints of the first juice, there is .65x pure fruit juice. Similarly, for ypints of the first juice, there is .90y pure fruit juice. Thus, we get:

.65x+.90y=30 ×0.7

Now we solve. First I'll get rid of the decimals in the second equation by multiplying by 100:

65x+90y=2100

Multiply the first equation by 65 on both sides to be able to cancel out one of the terms:

65x+65y=1950

Subtract the second equation from the first equation:

25y=250

y=10

Thus, we need 10 pints of the second fruit juice (90%pure fruit juice). This means that we need 30−10=20 pints of the first fruit juice (65% pure fruit juice).

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We need to expand the term:

This seems like a colossal task, we would need to multiply (5x-2) 6 times. However, we can use a useful tool that is called the 'Pascal's triangle'

I'll paste an image of it above

We will use it in this way:

Each one of the rows, represent the n in the term:

So, if we have the expression (x+y) we will pay attention to the upper row, if we have (x+y)^2 we will need the second row, and so on.

In our case, we need the 6th row.

Now, usually a term of the form

As we say, look at the 6th row of the triangle, the numbers a, b, c,..., and g are given there!

And we need the term that corresponds to x^2, we need the number e=5!

So, after the expansion, the coefficient of the term x^2 will be equal to 5

The linear equation is 3x+4y=7. The solution to the equation 3x+4y=7 is unique.

Given that,

The linear equation is 3x+4y=7

Any equation with a maximum degree of 1 is said to be linear. No variable in a linear equation, thus, has an exponent greater than 1.The graph of a linear equation is always a straight line.

There are numerous options if x and y are not positive integers (natural numbers), thus it is best if they are.

The x and y are positive integers so it is a unique solution.

Therefore, The solution to the equation 3x+4y=7 is unique.

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Answer: 9 - 5x

Step-by-step explanation:

6 + (3 - 5x) = 6 + 3 - 5x = 9 - 5x