what is the slope of y-intercept of the linear function shown (-6,0),(2,-2)

Answer:

[tex]\sf x = + \dfrac{5}{3}i ; \ \dfrac{-5}{3}i[/tex]

Step-by-step explanation:

     9x² + 25 = 0

              9x² = -25

                [tex]\sf x^2= \dfrac{-25}{9}\\\\ i^2 = -1 \\\\x^2=\dfrac{25}{9}i^2\\\\x=\sqrt{\dfrac{25}{9}i^2}\\\\[/tex]

                [tex]\sf x = \± \dfrac{5}{3}i[/tex]

Answer:

x = ±(5/3)i

Step-by-step explanation:

- Consider a general quadratic equation ax² + bx + c = 0

- Using the bulldozer method;

[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

- Relating 9x² + 25 = 0

[tex]{ \tt{x = \frac{ - 0 \pm \sqrt{ {0}^{2} - (4 \times 9 \times 25)} }{(2 \times 9)} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 900} }{18} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 1 \times 900} }{18} }}[/tex]

- From complex numbers, -1 = i²

[tex]{ \tt{x = \frac{ \sqrt{ {i}^{2} \times 900} }{18} }} \\ \\ { \tt{x = \frac{30i}{18} }} \\ \\ { \tt{x = \pm \frac{5}{3}i }}[/tex]

Or:

[tex]{ \tt{9 {x}^{2} + 25 = 0 }} \\ { \tt{9 {x}^{2} = - 25}} \\ \\ { \tt{ \sqrt{x}^{2} = \sqrt{ - \frac{25}{9} } }} \\ \\ { \tt{x = \sqrt{ - 1} \times \frac{ \sqrt{25} }{ \sqrt{9} } }} \\ \\ { \tt{x = \sqrt{ {i}^{2} } \times \frac{5}{3} }} \\ \\ { \tt{x = \pm\frac{5}{3} i}}[/tex]

Answer: B

Step-by-step explanation:

prediction by finding the height of the last drawing  the same as,

0.5×1.5 =0.75

, the same as,

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and  is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.

Given that : Caleb drew a picture of a building that is 4.4 inches tall. He thought it was too tall, so he multiplied its height by 0.5. The second drawing was too short, so he multiplied its height by 1.5.

Caleb drew a picture of a building that is 4.4 inches tall.

he multiplied its height by 0.5.

4.4×0.5 =2.2

The second drawing was too short,

so he multiplied its height by 1.5.

0.5×1.5 =0.75

, the same as,

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Answer:

No, because a triangle will have to add up to 180 degrees. And if the two angles are already set for both triangles, there is only one answer that will make these triangles equal 180 degrees. So no there is no way possible.

Step-by-step explanation:

Answer:

55 inches

Step-by-step explanation:

x + 5x = 330

6x = 330

330/6 = 55

The multiplication of  these decimal 0.004X 0.9   is 0.0036

The decimal number system is a standard system for notating integers and non-integers. It is an extension of the Hindu-Arabic number system for non-integer numbers.  The way to write numbers in the decimal system is often called decimal notation.

Decimals are numbers that consist of two parts, namely a whole number and a fraction separated by a decimal point. For example, 12.5 is a decimal number. The  decimal system, also known in mathematics as the Hindu-Arabic numeral system or the Arabic numeral system.

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The ratio between cups of beans and cups of rice is 10/13.

Given the recipe calls for 2 1/2 cup

covert it into proper fraction = 5/2 cups

also the recipe contains 3 1/4 cups of rice.

convert it into proper fraction = 13/4 cups.

now, 5/2 : 13/4

cross multiply.

20/26

simplify the expression.

10/13

Hence the ratio of beans to rice is 10/13.

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The graph of the equation y = 4x² + 8x + 7 will be shown in figure.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 4x² + 8x + 7

Now,

The graph of the equation y = 4x² + 8x + 7 will be shown in figure.

Since, One solution of the equation y = 4x² + 8x + 7 is (0, 7).

So, The graph of the function y = 4x² + 8x + 7 cut at the point (0 , 7).

Therefore,

The graph of the equation y = 4x² + 8x + 7 will be shown in figure.

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Answer:

No she is incorrect. 0.00001 is smaller than 0.001

The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix.

An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Therefore, the correct answer is option A.

[tex]$\left[\begin{array}{cccc}2 & -3 & 1 & -5 \\ 4 & -1 & -2 & -7 \\ -1 & 0 & 2 & -1\end{array}\right]$[/tex]

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Answer: It does not represent a function.

What is a function?

An expression, rule, or law which relates an independent variable to the dependent variable.

Defining Characteristic: A function will only have a single input for a single output.

For the input 0, there are 2 outputs, 5 and -5

Therefore, the set of ordered pairs does not represent a function.

Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in​ 2006? Use pencil and paper. Using the per person amount from this​ problem, about how many gallons would your class​ consume?

Answer: 1/4

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest number that is a factor shared by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of Numerator (2): 1, 2

Factors of Denominator (8) : 1, 2, 4, 8

1. Divide both numerator and denominator by GCF

Therefore, the lowest term would be [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

We divide both of the numbers by the Greatest Common Factor (GCF) , which is 2.

2 ÷ 2 = 1

8 ÷ 2 = 4

The answer is 1/4.

Hope this helps!

Btw, could I get a Brainliest? Thanks!

Hey there!

[tex]2x-9=-1\\x=[/tex]

To solve, we need to add 9 to both sides of the equation:

[tex]2x-9+9=-1+9\\2x=8[/tex]

Now, we divide both sides by 2:

[tex]\frac{2x}{2} =\frac{8}{2} \\[/tex]

[tex]x=4[/tex]

Hope this helps!

Answer:

Total distance of trip = 4x +  448 miles

Step-by-step explanation:

Let x = number of hours train ride lasted

Total distance by train at an average speed of 68 mph  for x hours

= 68x miles

If x hours was the train ride, then 7- x hours must be the car ride since the total trip took 7 hours

Total distance by car at average speed of 64 mph for (7-x) hours

= 64(7-x)

= 64 x 7 - 64x

= 448 - 64x miles

Total distance by both train and car = sum of the two distances

= 68x + 448 - 64x

= 4x +  448

The ratio of the height to the perimeter of this mural is equal to 19:65.

Mathematically, the perimeter of a mural can be calculated by using this formula;

P = 2(L + W)

Where:

Substituting the given parameters into the formula, we have;

Perimeter, P = 2(135 + 190)

Perimeter, P = 2(325)

Perimeter, P = 650 feet.

Now, we can determine the ratio of height to the perimeter as follows:

W:P = 190:650

W:P = 19:65

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Answer:

549

Step-by-step explanation:

Kim Lu, a data entry clerk, earns $12.25 per hour. She worked 36 hours last week. She also worked 12 hours at a part-time job life guarding at $9.00 per hour. What was Kim's total straight-time pay for both jobs?

12.25 * 36 = 441

12 * 9  = 108

441 + 108 = 549

According to the ratio if he answered 36 questions correctly.

A ratio in mathematics shows how frequently one quantity occurs in another. For instance, if there were eight oranges and six lemons on a fruit plate, the ratio would be eight to six.

We know that the given ratio is 12:7

let he answered x questions correctly and 21 question incorrectly

Therefore the ratio of correct answers to incorrect answers is given by

x : 21

Now 12:7 = x : 21

or, x = 36

Therefore he answered 36 questions correctly.

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Answer:

because he wont eat his veggies

Answer:mom didnt feed him

Step-by-step explanation:

Yes, the number of spaces you move random.

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The most appropriate choice for linear equation will be given by -

By solving this equation, the value of n obtained is n = 2

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Linear equation is a very important tool in solving real life problem.

Here

The given equation is

-y+2+3y-6

Now,

-y + 2 + 3y - 6=ny - 4

2y - 4 = ny - 4

2y = ny

n = 2

Value of n = 2

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The radical form of the given expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] is [tex]\sqrt[9]{3}[/tex]. So the option B is correct.

The given expression is [tex](3^\frac{2}{3})^\frac{1}{6}[/tex].

We have to express the given expression with a rational exponent as a radical expression.

As we can see that in the given expression have two power.

We firstly solve their power.

We using the Law of Power of a Power.

In this law, if any variable have a two power as [tex](a^m)^n[/tex] so their have multiplication relation between their power.

So [tex](a^m)^n=a^{mn}[/tex]

Now we solving the given expression using that rule.

The expression is [tex](3^\frac{2}{3})^\frac{1}{6}[/tex].

Simplifying the power first.

[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{3}\times\frac{1}{6}}[/tex]

Now simplifying

[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{18}}[/tex]

[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{1}{9}[/tex]

Since the power is [tex]\frac{1}{9}[/tex] which means variable [tex]3[/tex] have in radical.

Now expressing the simplified variable in the form of radical and the power of radical should be [tex]9[/tex].

[tex](3^\frac{2}{3})^\frac{1}{6}=\sqrt[9]{3}[/tex]

Hence, the radical form of the given expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] is [tex]\sqrt[9]{3}[/tex]. So the option B is correct.

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Using the Fundamental Counting Theorem, it is found that Jack could be correct, if there are 6 desserts as options in the menu.

It is a theorem that states that if there are n trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, each thing independent of the other, the number of results is given according to the following equation:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In the context of this problem, the parameters are found as follows:

Hence we can solve for x as follows:

5(8)(x) = N

40x = 240

x = 240/40

x = 6.

x is a positive integer, meaning that Jack could be correct, if there are 6 desserts on the menu.

The complete problem is given as follows:

"11)Jack is in a restaurant.

There are 5 starters, 8 main courses and some desserts on the menu.

Jack is going to choose one starter, one main course and one dessert.

He says there are 240 ways that he can choose his starter, his main course and his dessert.

Could Jack be correct?

You must show how you get your answer."

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The required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
According to the question,
[tex]=(6xy^2+4x^2y+7xy+8)(2/3x^3y^2)\\= 4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex]

Thus, the required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].

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Step-by-step explanation:

Jessica bought 6 notebooks for school and spent $9.66. Let p represent the amount she paid per notebook.

Part A: Write an equation to represent this situation.

let p = price per notebook

6p = 9.66

______________________________________________

Part B: Solve your equation.

6p = 9.66

divide both sides by 6:

6p/6 = 9.66/6

p = 1.61

______________________________________________

Part C: Explain your process for solving the equation.

Begin with formula in Part A.

divide both sides of the equation by 6.

because p equals the price per notebook, each notebook costs $1.61. (This does not take into account additional sales tax.)

Answer:

The answer is 26 miles

Step-by-step explanation:

Ever .25 of an inch is 1 mile to multiply 6 by 4 and you'll get 24 and add 2 miles for the .5 .

Answer:

f(x) = -5 *Thank gabeross for answer *

Step-by-step explanation:

There is none

The x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

The coordinate point is:

(-5, 7)

As we know from the definition of the ordered double:

(x, y) represents the ordered double on the coordinate plane:

x = -5

y = 7

x < 0 and y > 0

The point is located on the Quadrant II

Thus, the x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

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