Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)

Answer:

  -4x^2 -3x -5

Step-by-step explanation:

If you eliminate parentheses and collect terms, you get ...

  -4x^2 +2x -5(1 +x)

  = -4x^2 +2x -5 -5x

  = -4x^2 +x(2 -5) -5

  = -4x^2 -3x -5

Answer: \(4x^3 -29x^2 +10x-21\)

Step-by-step explanation:

\((4x^2 -x+3)(x-7)\\\\=4x^3 -28x^2 -x^2 +7x+3x-21\\\\=4x^3 -29x^2 +10x-21\)

Answer:

Step-by-step explanation:

Function values and the extent of the graph can be determined by reading the graph.

The domain of the function is the set of values for which the function is defined. It is the horizontal extent of the graph. The graph shows the function is defined for all real numbers.

  The domain is -∞ < x < ∞.

The range of the function is the set of output values the function may have. It is the vertical extent of the graph. The graph shows the function can have any value no greater than -1.

  The range is -∞ < y ≤ -1.

Function values can be read from the graph by locating the x-value on the x-axis, and following the vertical line to its intersection with the function graph. The y-value of that point is the function value.

  f(-5) = -2

  f(-1) = -4

Or, we can write the function definition based on the graph, and use that definition to find the values at specific points. The graph is of the absolute value function reflected over x and translated <-4, -1>.

  f(x) = -|x+4| -1

  f(-5) = -|-5 +4| -1 = -1 -1 = -2

  f(-1) = -|-1 +4| -1 = -3 -1 = -4

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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If  it travels 135 miles with the current in the same length of travels 87 miles against the current,  The speed of the current is 8.

Let speed of water current = x mph

Let speed with the current = x+37 mph

Time = distance/time =135/x+37 hrs

Speed against the current = 37-x mph

Hence,

Time = 87 /37-x

87 /37-x  =135 /37+x

87 (37+x)= 135 (37-x)

3219 +87 x=4995 -135x

Combine like terms

87x+135 x= 4995  - 3219

222x = 1776

Divide both side by 222x

x = 1776/222

x = 8

Therefore the speed is 8.

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Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 3/7 as a percent, we need to find a fraction

equivalent to 3/7 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have \(\frac{3}{7} = \frac{n}{100}\).

Now, we can use cross-products to find the missing value.

So we have (3)(100) which is 300 is equal to (7)(n) or 7n.

So we have the equation 300 = 7n.

Next, dividing both sides of the equation by 7, we have 42.8571 = n.

So 3/7 is equal to 42.8571/100 or 42.8571%.

Answer:45%

Step-by-step explanation:

Step-by-step explanation:

no of even numbers=84

84/168

1/2

plsss mark brainliesttt

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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The linear function that describes the distance (in miles) is therefore y = 65x + 80

We have to find the slope and the intercept in other to get the linear function

The data points are:

(1, 145) and (3, 275).

m = (y2 - y1) / (x2 - x1)

fixing the data points we have

m = (275 - 145) / (3 - 1)

= 130 / 2

= 65

y = mx + b

(1, 145):

145 = 65(1) + b

b = 145 - 65

= 80

y intercept is 80

The linear function is therefore y = 65x + 80

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Answer:

Isn't it 8000 cubic cm sorry if it's wrong

Answer:

15

Step-by-step explanation:

3 × 5 = 15

Hope this helped <3

Answer:

It would be A

I think I forgot I didn't this like 2 weeks ago

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

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The volume of the composite figures, which can be obtained by adding the volume of the individual figures are;

13. 497,469.005 cm³

14. 480,000 cm³

The volume of a figure is the three dimensional space occupied by the figure.

13. The volume of the shape is the sum of the volumes of the rectangular prism and the volume of the half cylinder.

Volume of the rectangular prism = 45 cm × 60 cm × 90 cm = 243,000 cm³

Volume of the half cylinder = π × (30 cm)² ×90 cm ≈ 254,469.005 cm³

Volume of the figure, V ≈ 254,469.005 + 243,000 = 497,469.005 cm³

14. The volume of the chest is the area of the trapezoidal face × The length of the of the figure

Area of the trapezium = 80 × (40 + 60)/2 = 4000

The area of the trapezium = 4000 cm²

The length of the figure = 120 cm

Therefore; Volume of the figure = 4000 cm² × 120 cm = 480,000 cm³

The volume of the chest is 480,000 cm³

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Answer:

20/121

Step-by-step explanation:

\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)

The first equation that represents 42 - p -p= 21 is correct.

An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.

Isaac has $42 cash in hand when arrived Saturday market.

He buys two posters that each cost selling price or SP.

when he leaved the market had $21 cash in hand.

assume, each poster has a price = p

The situation is represented by the following.

initial amount - cost for two posters = final amount

42 - p - p = 21

hence, the first equation that given in the question is correct.

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Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

$60

Step-by-step explanation:

30 ÷ 0.50 = 60

Answer:

16.13

Step-by-step explanation:

Answer:

Step-by-step explanation:

400 - 150 = 250 and 400 - 200 = 200, so it could be D or C. You can choose which one you want to use.

Answer:

  x = 10

Step-by-step explanation:

You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.

The angle bisector divides the sides of the triangle proportionally;

  3x/40 = (x +2)/16

  6x = 5x +10 . . . . . . . multiply by 80

  x = 10 . . . . . . . . . subtract 5x

The value of x is 10.

<95141404393>

Step 1: x(x - 7y) + 4y(x - 7y) + z(x - 7y), the property used is distributive property.

Step 2: x² - 7xy + 4yx - 28y² + zx - 7zy, the property used is commutative property.

Step 3: x² - 7xy + 4xy - 28y² + xz - 7yz, the property used is commutative property.

In Mathematics, the Commutative Property of Addition states that when two (2) or three (3) numerical values (numbers) are added together, the output (end result) would always remain the same, irrespective of the way in which the numerical values are arranged.

Additionally, the Associative Property of Addition states that when three (3) numbers are added, the end result would always be the same regardless of the way the numbers are grouped.

Generally speaking, the Commutative Property of Addition allows the addends to be re-ordered without causing a change in the result, output, or outcome of a mathematical expression.

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Answer:

0

Step-by-step explanation:

The number of practice hours per week for Maranda's piano recital is 13 hours

Overall practice hours = 52 hours

Number of weeks of practice = 4 weeks

Since, the number of practice hours per week is the same ;

Number of hours practiced each week can be obtained by dividing the overall practice hours by the number of weeks of practice.

Number of practice hours per week = Overall practice hours ÷ Number of weeks of practice

Number of practice hours = (52 ÷ 4) = 13 hours

Therefore, Marana practiced for 13 hours each week.

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Answer:

44462, 1462

Step-by-step explanation:

multiply 43000 by 1.034% and get the answers

Increase:-

\(\\ \rm\Rrightarrow 0.034(43000)\)

\(\\ \rm\Rrightarrow 1462\$\)

New price

\(\\ \rm\Rrightarrow 43000+1462\)

\(\\ \rm\Rrightarrow 44462\$\)

The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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The other two factors are (x-3), and (x+4)

given that

polynomial p(x) = (x+5)(x-)(x+)

p(x) = \(x^{3}\) + 6\(x^{2}\) -7x - 60

So,

\(x^{2}\) +x -12 =0

\(x^{2}\) + 4x -3x -12 = 0

x(x+4) - 3(x + 4) = 0

(x -3)(x+4) = 0

the other two factors are (x-3), and (x+4).

Polynomial: A polynomial is a function that can be written in the form of

p(x)= \(a_{n}\)\(x^{n}\) + \(a_{n-1}\)\(x_{n-1}\)+..........+\(a_{1}\)x +\(a_{0}\) each ai is a real number, an≠0 and n≥0

Zero: A zero of a polynomial is an x-value for which the polynomial equals zero. This means that if x = c is a zero, then p(c) = 0 The zeros correspond to the x-intercepts of the polynomial

Multiplicity: The multiplicity of a zero, x = c, is the number of times the factor (x−c) appears in the fully factored form of the polynomial. This is equal to the exponent on the factor.

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