Simplify the expression

Answer:

Correct Choice: Second Option

[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]

Step-by-step explanation:

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

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

We have the following equation to solve:

[tex]5x = 6x^2 -3[/tex]

Rearranging all the terms to the left side:

[tex]6x^2 -5x- 3=0[/tex]

Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:

[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]

[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]

[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]

Correct Choice: Second Option

Answer: $6.75

Step-by-step explanation:

If you subtract the 12.75 dollars from the second week to the 5.75 dollars from the first week, it added $6.75.

sorry if this is incorrect, the question is worded weird

Answer:

65°

Step-by-step explanation:

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).

Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:

m∠1 + m∠2 = 180°

m∠1 + 115 = 180

m∠1 = 180 - 115

m∠1 = 65°

Answer:

65

Step-by-step explanation:

just did it in edge  2020

Answer:

42.06cm²

Step-by-step explanation:

Answer:

42.06cm²

Step-by-step explanation:

I can't find the tape diagram from my work but I know is  42.06cm²

Thank you

Answer:

The standard form is just another way to write this equation, and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.

The "Standard Form" of an equation is: (some expression) = 0 In other words, "= 0" is on the right, and everything else is on the left. Example: Put x 2 = 7 into Standard Form

Step-by-step explanation:

sorry look up example image for standard form

Answer:

A

Step-by-step explanation:

Think about it.

y = (0)x + b

this gives

y = b

therefore Y equals a single number regardless of the x value.

This behavior is shown in table A.

Answer:

2 years

Step-by-step explanation:

This is simple interest:  i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction and t is the number of years.  Here:

i = $195.00 = ($650.00)(0.15)t, or

        $195.00

t = ------------------------  =  2 years

     (0.15)($650.00)

Answer:

the first one is

Excess of rent paid annually over 10% of annual salary Actual HRA received = Rs 84,000 must not be owned by the person claiming the tax

the next one i cant help with

Step-by-step explanation:

La sucesión es geométrica ya que cada término se obtiene multiplicando el anterior por una cantidad constante (llamada razón), en este caso 1/2

1  *  1/2 = 1/2

1/2 *  1/2 = 1/4

1/4 *  1/2 = 1/8

aₙ = a₁ * r ⁿ⁻¹

Donde

aₙ es un término dentro de fórmula general

a₁ es el primer término

r es la razón de la sucesión

n es el índice del término

Con la fórmula podemos obtener los términos que faltan

Término 5

a₅ = 1 * 1/2 ⁵⁻¹

a₅ = 1 * 1/2 ⁴

a₅ = 1 * 1/16

a₅ = 1/16        ======> término 5

Término 8

a₈ = 1 * 1/2 ⁸⁻¹

a₈ = 1 * 1/2 ⁷

a₈ = 1 * 1/128

a₈ = 1/128      =========> término 8

Término 9

a₉ = 1 * 1/2 ⁹⁻¹

a₉ = 1 * 1/2 ⁸

a₉ = 1 * 1/256

a₉ = 1/256  =======> término 9

Study more about GP on https://brainly.com/question/29399287

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Answer:

I believe she paid $57.50

Step-by-step explanation:

I turned the percent into a decimal (.15) then I multiplied the decimal by 50 and got 57.50.

Answer:

answer is c

Step-by-step explanation:

Answer:

135 meters

Step-by-step explanation:

Answer:

thats the answer:

3805.34

Step-by-step explanation:

Answer:

3805.34

Step-by-step explanation:

Multiply by order form the right to the left and then add the final numbers to find the answer.

Answer:

11. X=76

Step-by-step explanation:

Answer:

F

Step-by-step explanation: c=0.10m+30

Plzz give me brainliest

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

Did you insert a picture because I cant see one

Answer: D. 92

Step-by-step explanation: (x+1)+(x-3)=180

2x-2=180

2x=182

X=91

(91)+1= 92

Vertical angles are equal than by the transitive property y is also equal to 92

Answer:

92

Step-by-step explanation:

Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.

-I got the question right on the test

Hope this helps!

Answer:

The length is 35cm and the area is 1050cm^2

Step-by-step explanation:

The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:

[tex]60+ 2x=130[/tex]

[tex]2x=70[/tex]

[tex]x=35[/tex]

For the area multiply 30 by 35

[tex]30*35=1050[/tex]

And your answer for the area is in cm^2

Answer:

4.5 miles

Step-by-step explanation:

3/2=1.5 . 7-/2 = 35.  35 x 3 = 105 . 1.5 x 3 = 4.5

Answer:

DOMAIN: -infinity < x < +infinity

Interval form: (-infinity, +infinity)

RANGE: -infinity < f(x) < +infinity

Interval notation: (-infinity, +infinity)

Step-by-step explanation:

For Domain: Function has no undefined points nor domain constraints.

For Range: The range of polynomials with odd degree is all real numbers.

hope this helps :)

Answer:

64x6y12+125x9y3 I think. Hope this helps

Answer:

The answer is D

64x6y12+125x9y3

Step-by-step explanation:

Youre welcome

Answer:

every option but the first one

Step-by-step explanation:

5 and 7 are verticals meaning they have the same angle degree

7 and 4 are supplementary angles meaning the sum of them = 180

1 and 7 are corresponding meaning they have the same angle degree

Answer:31

Step-by-step explanation:

k(10)=-3(10)+1

10k=31

k=3.1

3.1(10) =31

Answer:

$130

Step-by-step explanation:

If theres 52 weeks in a year and if you make 5 every 2 weeks you divide 52 and 26 and multiply it by 5.

Answer:

$130 per year

Step-by-step explanation:

52 weeks in a year (typically)

so 52/2= 26

5 * 26 = 130

$130 per year

Answer:

n²+7n=n(7+n)

Step-by-step explanation:

Using the distributive property on the right side of the equation will make both sides of the equality equal.

Answer:

True

Step-by-step explanation:

Answer:

√3 +2 < √2 +3

Step-by-step explanation:

When you calculate √3 +2 it equals 3.732050808

When you calculate √2+3 it equals 4.414213562

4.414213562 is more than 3.732050808

Answer:

7

Step-by-step explanation: