In the equation 3x - 5 = 22,

where "x is the cost of a sandwich"

Diana said that "the sandwich cost $9."

Victor's answer is $5.

Who is right? Support your claim with math evidence or reasoning.

Answer:

x = 1 ± 2i

Step-by-step explanation:

x² - 2x + 5 = 0 ( add 5 to both sides )

x² - 2x = - 5

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 5 + 1

(x - 1)² = - 4 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )

x = 1 ± 2i ( that is the solutions are complex )

Answer:

[tex]x=1\pm2i[/tex]

or

[tex]x=1+2i[/tex]

[tex]x=1-2i[/tex]

Step-by-step explanation:

All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.

[tex]x^2-2x+5=0[/tex]

Equation is in standard form: [tex]ax^2+bx+c=0[/tex]

Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]

Multiply -4 × 5:

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]

Add 4 + -20:

[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]

* the opposite of -2 is 2:

[tex]x=\frac{2\pm 4i}{2}[/tex]

Now, solve equation:

[tex]x=\frac{2+4i}{2}[/tex]

Divide 2 + 4i by 2:

[tex]x=1-2i[/tex]

_____________________________

Answer:

Step-by-step explanation: there is no way to define an answer to the question in any reasonable.

Answer:

Because 0 is greater than negative 7

Step-by-step explanation:

A negative number is any number that is less than 0.

Hope this makes you understand it

Answer:

14

Step-by-step explanation:

convert 35% to a decimal by moving the decimal to the left two places

.35

.35 × 40 = 14

Answer:

87 percent

Step-by-step explanation:

You just simply divide percent you got (35) by the full amount you could get (40)

35 ÷ 40

Answer:this is the answer

Answer:

[tex]f^{-1}(x)=3x-6[/tex]

Step-by-step explanation:

Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.

[tex]x=1/3*f^{-1}(x)+2[/tex]

[tex]x-2=1/3*f^{-1}(x)[/tex]

[tex]f^{-1}(x)=3(x-2)[/tex].

[tex]\boxed{f^{-1}(x)=3x-6}[/tex]

Smallest 2-digit number: 23

3-digit number closest to 300: 276

Hope it helps you!            ✺               ✺             ✺         ✺          ✺        ✺           ✺

[tex]ANSWERED:\\GraceRosalia[/tex]

Answer:

steps below

Step-by-step explanation:

1) f(x) = (-3ax⁴ + ax² +x) / (2x⁴ + x³ - ax² + 8x) ... degree of the denominator = degree of the numerator       (-3a) / 2 = 5 / 4

-12a = 10

a = - 5/6

2) 3-n > n+ 10  ... degree of the denominator < degree of the numerator

   2n < -7

   n < - 3.5

The largest inter value is -4

3) f(x) = (x²+3x-4) / (2x²+7x-10)

   f(2) = (2²+3*2-4) / (2*2²+7*2-10) = 6 / 12 = 1/2

   x->∞ : divide x² both numerator and denominator, any number/ x -> 0

   f(x) = (1 + 3/x - 4/x²) / (2 + 7/x - 10/x) = (1 + 0 - 0) / (2 + 0 - 0) = 1/2

   [tex]\lim_{x \to \infty} f(x) = f(2)[/tex] = 1/2

Answer:

x=0.8712, y=1.1818

Step-by-step explanation:

1.2x+1.4y=2.7 --(1)

0.4x-0.3y=0.9--(2)

1.2x=2.7-1.4y

x=(2.7-1.4y) / 1.2 --(3)

substitute (3) in (2)

[tex]0.4(2.7-1.4y) / 1.2 -0.3y=0.9[/tex]

[tex](1.8 - 0.56y) \frac{1}{3} - 0.3y = 0.9[/tex]

times both sides with 1/3

[tex] \frac{1}{3} (1.08 - 0.56y( \frac{1}{3} ) - 0.3y = 0.9)[/tex]

1.08-0.3=0.56y+0.1y

0.78=0.66y

y=1.1818

substitute y in (3)

x=2.7-1.4(1.1818) /1.2

x=0.8712

Answer:

186

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Find a two coordinates on the line such as (20,40) and (50,60)

plug it into the slope formula m= y2 - y1 / x2- x1

it doesn't matter what way you plug them in

m = slope

m = 60-40 / 50 - 20 = 20/30 = 2/3

The slope is 2/3 I simplified 20/30 by dividing by 10

hope this helped

Answer:

x^3 + 4x^2 - 7x - 10

Step-by-step explanation:

To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.

Answer:

DA?

Step-by-step explanation:

I'm not the brightest I'm sorry but i think it might be D A something..

Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]

Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.

The intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.

Learn more about the basic proportionality theorem at

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hijab day of doing a great day of doing a little bit more about the way for me the ch-2 ex is a very good time to be able to get the day of doing a great day when mother speaks it happens to be a good time to be a good time to be a good day please anyone who is in the day and in the way for me the way

Answer:

POL  and KLO

Step-by-step explanation:

Alternate interior angles are between the parallel lines and on opposite sides of the transversal

NOL and MLO

POL  and KLO

Answer:

KLO and POL

Step-by-step explanation:

Answer:

[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]

-5s-5x+5s+50     Combine like terms

5x+50

Answer:

[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]

Answer: C

Step-by-step explanation: You have to graph the 2 points and plug in each answer until the slope passes through

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

Answer:

-3/4

Step-by-step explanation:

Slope is rise over run. The line is negative as the line is falling, not rising. From one point to the next it falls 3, or rises -3. It runs 4, therefore the rise/run, or slope is -3/4.

Answer:

15 and 25

10 and 5

Step-by-step explanation:

Answer: B. $199.50

Step-by-step explanation:

285 x 0.7 = 199.5

Answer is B. $199.50

Answer:

Option D portrays that

Matrix A multiplied by an identity matrix equals Matrix A

Answer:

215/2

Step-by-step explanation:

A linear pair means that the angles equal 180 degrees.

If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.

x+47+x-12=180

2x-35=180

2x=215

x=215/2

Answer:

Your answer is C. Angle a is congruent to both angles 3 and 1.

Step-by-step explanation:

Answer:

[tex]1 and -1[/tex]

Step-by-step explanation:

Answer:

A) 8/9

Step-by-step explanation:

8 divided by 9 is 0.88888888888888888888889 on a calculator

The fraction that is equal to 8/9. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

⇒ 0.8888...

Convert the decimal number into a fraction number, then we have

Let x = 0.8888..., then

10x = 8.888....

10x - x = 8.8888.... - 0.8888...

9x = 8

x = 8/9

The fraction that is equal to 8/9. Then the correct option is A.

More about the Algebra link is given below.

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Answer: what is this?

The required coordinate of the point K is (13, 8).

Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.

Coordinate, is represented as the values on x-axis and y-axis of the graph.

here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2     ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2     ; 5 = (2 + y₂)/2
x₂ = 13                ; y₂ = 8

Thus, the required coordinate of point K is (13, 8).

Learn more about coordinate here:

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Answer:

a circle

Step-by-step explanation:

yeah-ya... right?