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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Use these formulas to solve for this equation.}\\\\\\\mathsf{ax^2 + bx + c = 0}\\\\\\\mathsf{x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\mathsf{x^2-14x + 74= 0}[/tex]

[tex]\mathsf{1x^2 + (-14x) + 74= 0}[/tex]

[tex]\large\text{Whereas, a = 1, b = -14, \& c = 74}[/tex]

[tex]\mathsf{x =\dfrac{-(-14)\pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)}}[/tex]

[tex]\mathsf{-(-14) = \bf 14}\\\\\mathsf{(-14)^2-4(1)(74)=\bf -100}[/tex]

[tex]\mathsf{x = \dfrac{14\pm \sqrt{-100}}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf No real solutions}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex] \Large{\boxed{\sf x= 7 \pm 5i} } [/tex]

[tex] \\ [/tex]

The given equation is a quadratic equation. In other words, it is written in the form ax² + bx + c = 0, where a ≠ 0.

[tex] \\ [/tex]

We will solve this equation using the quadratic equation, which is the following:

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

[tex] \\ [/tex]

First, let's identify the value of the coefficients a, b, and c:

[tex] \\ [/tex]

Then, substitute these values into the quadratic formula:

[tex] \sf x= \dfrac{-(-14) \pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)} = \dfrac{14 \pm \sqrt{-100}}{2} [/tex]

[tex] \\ [/tex]

Simplify the expression knowing that [tex] \sf \sqrt{-1} = i [/tex], and keep in mind the following property:

[tex] \Large{\boxed{\sf \sqrt{ab} = \sqrt{a}\sqrt{b} }} [/tex]

[tex] \\ [/tex]

[tex] \sf x= \dfrac{14 \pm \sqrt{100 \times (-1) }}{2} = \dfrac{14 \pm \sqrt{100} \times \sqrt{-1}}{2} = \dfrac{14 \pm 10 \times i }{2} \\ \\ \implies \boxed{\boxed{\sf x= 7 \pm 5i}} [/tex]

[tex] \\ [/tex]

Therefore, the two complex conjugate roots of this equation are x = 7 + 5i and x = 7 - 5i.

[tex] \\ [/tex]

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Tony purchased 12 books and 6 magazines for a total of $240.

An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.

He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.

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Answer:

a) m = 3   b = 1/5

b) y = 1/2x - 3

Step-by-step explanation:

y=mx+b

Answer:

15

Step-by-step explanation:

Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5,  20-5=15 so the answer is 15

Would be amazing if you marked this brainliest :)

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

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Answer:

35%

Step-by-step explanation:

35% percent of the cupcakes were mocha

Therefore , the solution of the given problem of equation comes out to be  x = 38.

Equivalent is the meaning of the Latin term equ. A lot of variable words in the English language, such as adequate, equator, and equality, have Latin roots as their root words. Since both side of an equations are, by definition, "equal" to one another, the Latin root term equ makes its way into our vocabulary quite simply.

Here,

Given : m m/MTU = 38°, and m/STU = 2x + 88.

thus,

x + 50 = 2x + 88

To find the value of x:

We do,

=> x + 50 = 2x +88

=> x -2x  = 88 -50

=> -x = -38

=> x = 38

Therefore , the solution of the given problem of equation comes out to be x = 38.

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Answer:

Rolling a 6 would be 1 in 6

And rolling a four or less would be 4 in 6

Step-by-step explanation:

S= {1,2,3,4,5,6}

|S|=6

E=rolling a 6 orless than 4

➜{1,2,3,6}

|E|=4

P(E)=|E| /|S|

➜4/6

➜2/3

Answer:

28(brainlestplzzzzzzzzzzzzzzz)

Step-by-step explanation:

Answer:

28 men will be needed for three hours.

Step-by-step explanation:

7 hours --- 12 men

1 hour --- (12 * 7) 84 hours

3 hours --- (84/3) = 28 hours

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Answer:

Yes, it is possible

Step-by-step explanation:

Answer:

51°

Step-by-step explanation:

.........................

The representation of the set builder notations are:

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

The set builder notations

Solving: set builder notation 1

This is given as

{y | 22.3 < y ≤ 77.5}

The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5

Solving: set builder notation 2

This is given as

{w | w ∈ Z}

The notation Z means integers

This means that the set w is the set of all integers

Solving: set builder notation 3

This is given as

{x | x > -1}

The greater than (>) operator means that the smallest value of y is greater than -1

Solving: set builder notation 4

This is given as

{t | t ∈ Q}

The notation Q means rational numbers

This means that the set t is the set of all rational numbers

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Answer: ux= 10.5, ox= 0.001

Step-by-step explanation:

I took the test and got it right

9514 1404 393

Answer:

  distributive property

Step-by-step explanation:

The distributive property of multiplication over addition tells you ...

  a(b +c) = ab +ac

This works both ways, allowing you to eliminate or add parentheses as may be needed.

The common factor of ...

  11x +5xy

is x. It may be factored out according to the distributive property to give ...

  x(11 +5y)

Answer:

Square pyramid

Step-by-step explanation:

Hope this helps

Therefore ,answering the offered question, we can state that the figure's surface area is SA = 2(9 11+11 9+11 * 11), which equals SA = 638 in2.

Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional shape. You may compute the contact area of a cube with six square faces by adding together their individual areas. Alternatively, you can use the following formula to name the box's dimensions: Surfaces (SA) = 21 h + 2 lw + 2 hw. A tri shape's surface area is calculated as the total amount of space it occupies.

Here,

Front = rear = 11*11

top = bottom = 9*11

sides = 11*9;

SA= 2(911+119+1111)

SA=2(9999 +121)

SA = 2(319) (319)

SA = 638 in²

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Answer:

it would be [tex]x^2z^2[/tex]

Step-by-step explanation:

you would just put the x^2 next to the z^2 in this case.

Answer: 16.10

Step-by-step explanation:

$14 + 15% increase rate = 16.10

15% = 2.10

Answer:

C you all welcome:)

Step-by-step explanation:

A was wrong sorry to tell you

Answer:

The letters:

A.

B.

E.

Step-by-step explanation:

why?

A = it is a polygon

B = it's a solid figure

E = it's a prism (pentagonal prism)

HOPE IT HELPS

(FROM CROSS)

Answer:

0.48 is the correct answer

Answer:

Step-by-step explanation:

Only one answer will do for this question and that is 1.

y/x = 5/5  =   1

y/x = 6/6  =  1

y/x = 1/1 = 1

The one you have to be careful with is when x = 0 y = 0. You can't solve this by using y/x  because 0/0 is undefined at this point.

Answer:

417

Step-by-step explanation:

bc i said so

Answer:

Surface Area is 78 un.

Volume is 40 un³.

Step-by-step explanation:

A = 2(wl + hl + hw)

2 · (4 · 5 + 2 · 5 + 2 · 4)

2 · 38

76

V = whl

4 · 2 · 5

40 un³

Answer:

b is corect

Step-by-step explanation:

The transformation of f (x) exists g (x) = f (x) - 4.

A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

A function that has a positive constant increased to a variable exponent, other than 1, is referred to as an exponential function. By solving at a certain input value, a function is assessed. When the beginning value and growth rate are known, an exponential model can be discovered.

We observed that:

f (0) = 2

For the function g (x) we have:

g (0) = -2

Therefore,

g (x) = f (x) - 4

Looking for intersection with axis and we have:

g (0) = f (0) - 4

g (0) = 2 - 4

g (0) = -2 (correct demonstration)

The transformation of f (x) is: A. g (x) = f (x) - 4

Therefore, the correct answer is option A. g (x) = f (x) - 4.

The complete question is;

Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.

Which of the rules given below shows the transformation of f?

A. g(x) = f(x) - 4

B. g(x) = f(x - 4)

C. g(x) = f(x) + 4

D. g(x) = f(x + 4)

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