Complete the square.
3x^2-12x=96

Answer:

  a. almost 8 years

Step-by-step explanation:

Brenda's expected annual increase in salary is ...

  $63,292 -45,258 = $18,034

If we assume that Brenda's cost of education includes going without 2 years' salary as well as the cost of tuition, her degree's total cost will be ...

  2×$45,258 +15,000 = $105,516

__

Once Brenda starts earning again, she is recovering this cost at the rate of $18,034 per year, so it will take ...

  $105,516/($18,034 /yr) = 5.85 yr

to recover that cost.

Since Brenda spent 2 years in school, from the time she decides to start school until she has recovered her cost, it will be 2 + 5.85 = 7.85 years, almost 8 years.

_____

If Brenda can continue working while going to school, she can recover her tuition cost in about 10 months after graduation.

Answer:

C

Step-by-step explanation:

Answer:

2

3

-5

0

Step-by-step explanation:

2×0+1×2=2

2×1+1×1=3

2×-3+1×1=-5

2×-2+1×4=0

Answer:

[tex]\large \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Answer:

C

Step-by-step explanation:

Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.

Answer:

A. 29.91

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(41) = 26 / x

0.869... = 26/x

26 / 0.869... = x

x = 29.91...

Answer:

im not entirely sure what you're asking so here are some example answers

half of (1/3 + 1/4)

= half of (7/12) = 7/24

half of 1/3 = 1/6

half of 1/4 = 1/8

Answer:

Step-by-step explanation:

Hello, when you try to find the intersection point(s) you need to solve a system like this one

[tex]\begin{cases} y&= m * x + p }\\ y &= a*x^2 +b*x+c }\end{cases}[/tex]

So, you come up with a polynomial equation like.

[tex]ax^2+bx+c=mx+p\\\\ax^2+(b-m)x+c-p=0[/tex]

And then, we can estimate the discriminant.

[tex]\Delta=(b-m)^2-4*a*(c-p)[/tex]

If [tex]\Delta<0[/tex] there is no real solution, no intersection point.

If [tex]\Delta=0[/tex] there is one intersection point.

If [tex]\Delta>0[/tex] there are two real solutions, so two intersection points.

Hope this helps.

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

[tex]b - j = \frac{b}{2}\\\frac{b}{2} - j = 0[/tex]

Now we can solve using the process of elimination.

[tex]b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120[/tex]

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

[tex]120 + j = 180\\j = 180-120\\j = 60[/tex]

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

Answer:

Bob weighs 120 pounds

Step-by-step explanation:

Our first equation will be J(Jim) + B(Bob) = 180 pounds. Our second equation will be 2J = B because it says " if you subtract Jim's weight from Bob's weight, you get half of Bob's weight." This is basically saying that Jim is half of Bob's weight. So that's why our second equation is 2J=B. In our first equation, J+b=180, if we substitute b for 2J, our second equation, then we get the equation 3J = 180. After dividing 3 from both sides, we get j=60. Since Bob weighs twice as much as Jim, his weight will be 120. Now if we want to double-check, we can substitute Jim and Bob's weight for all of the equations.  

1) 60 + 120 = 180                This equation is correct

2) 2(60) = 120                     This is correct because 2 times 60 equals to 120

3) 3(60) = 180                     This is correct because 60 times 3 equals to 180

Answer:

Step-by-step explanation:

The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.

Answer:

yo what concept is this

Step-by-step explanation:

Answer:

95.2 is not an integer

and other are integers

Answer:

x = 110

y = 15

Step-by-step explanation:

AB is parallel to CD

angle B and angle D are alternate and they are equal

106-2x = 3x-4

106 + 4 = 3x - 2x

110 = x

same goes for y

7y + 13 = 10y - 32

13 + 32 = 10y - 7y

45 = 3y divide both sides by 3

15 = y

Answer:

it is transitive property

as, a=b

also, b=a

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4

That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.

So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).

8 and 8 certainly exceed 4.

Function transformation involves changing the position of a function.

The graph of g(x) is the graph of f(x) translated 2 units right, and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]

The function is given as:

[tex]\mathbf{f(x)=3x + 1}[/tex]

The graph of g(x) passes through (2,1) and (0,-5).

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{-5-1}{0-2}}[/tex]

[tex]\mathbf{m = \frac{-6}{-2}}[/tex]

[tex]\mathbf{m = 3}[/tex]

The equation is then calculated as:

[tex]\mathbf{g(x) = m(x -x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]

By comparing [tex]\mathbf{f(x)=3x + 1}[/tex] and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]

The graph of f(x) is shifted 2 units to the right

Read more about function transformation at:

https://brainly.com/question/13810353

Answer:

405

Step-by-step explanation:

A = P(1-r)^t

A = 500 (1-.1)^2

A = 500 (.9)^2

   = 500*0.81

   = 405

Answer:

Half of the under 30's are from 5 to 18 seconds

Step-by-step explanation:

Each section of the box plot is 25%

Under 30's From 5 to 12 is 25% and from 12 to 18 is 25%

so from 5 to 18 is 50%

B) isosceles

If the median to the base is perpendicular to the base =>

= > isosceles triangle

Answer:

[tex] (x^2 - 9)(x + 2) [/tex]

Step-by-step explanation:

Given:

[tex] x^2 + 5x + 6 [/tex]

[tex] x^2 - x - 6 [/tex]

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

[tex] x^2 + 5x + 6 [/tex]

[tex] x^2 + 3x + 2x + 6 [/tex]

[tex] (x^2 + 3x) + (2x + 6) [/tex]

[tex] x(x + 3) + 2(x + 3) [/tex]

[tex] (x + 2)(x + 3) [/tex]

[tex] x^2 - x - 6 [/tex]

[tex] x^2 - 3x +2x - 6 [/tex]

[tex] x(x - 3) + 2(x - 3) [/tex]

[tex] (x + 2)(x - 3) [/tex]

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

[tex] x^2 + 5x + 6 = (x + 2)(x + 3) [/tex]

[tex] x^2 - x - 6 = (x + 2)(x - 3) [/tex]

The common factors would be: =>

[tex] (x + 2) [/tex] (this is common in both polynomials, so we would take just one of them as a factor.

[tex] (x + 3) [/tex] and,

[tex] (x - 3) [/tex]

Their product = [tex] (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2) [/tex]

Answer:

(-1, -3.5)

Step-by-step explanation:

Use the midpoint formula by finding the points of A and B.

A = (-5, -4)

B = (3, -3)

Add the x-values of both coordinates to get the following:

[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]

Midpoint = (-1, y)

Now we find the y-value by doing the same as we did to the x-coordinates of A and B.

[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]

Midpoint = (-1, -3.5)

Answer: Choice A (both are smiley faces)

This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.

Answer:

Step-by-step explanation:

9x^3,15x^5= 3x^3

The GCF is constructed by multiplying all the factors that are common to all the given expressions, exponentiated to the smallest power.

In our example, the following factors are common to all the given expressions: 3, x^3

Therefore, the GCF is equal to 3x^3.

Answer:

30.9 mb

Step-by-step explanation:

Answer:

| h-52 | < or equal to 1

Step-by-step explanation:

Answer:

alr let's start

one clock 12 hrs => 360 °

so 1hr=> 30°

now visualise clock with struck 8

between 12 and 8 from smaller angle we get that there are 4 hrs in between so

4 × 30 = 120°

done Dana done done

Answer:

ANGLE=120°

SEE THE IMAGE FOR SOLUTION

I have to give 2 Ans form my question so sorry

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2 is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2  

is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

Answer:

The number is 135.

Step-by-step explanation:

1) Form an equation

Three is subtracted from a number

⇒ [tex]x-3[/tex] (where x is "the number")

The difference is divided by 11

⇒ [tex]\displaystyle \frac{x-3}{11}[/tex]

The result is 12

⇒ [tex]\displaystyle \frac{x-3}{11}=12[/tex]

2) Solve the equation

[tex]\displaystyle \frac{x-3}{11}=12[/tex]

Multiply both sides by 11

[tex]\displaystyle \frac{x-3}{11}*11=12*11\\\\x-3=132[/tex]

Add 3 to both sides

[tex]x-3+3=132+3\\x=135[/tex]

Therefore, the number is 135.

I hope this helps!

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right