You are planning your week-end schedule. You can spend at most 8 hours playing video games and doing homework. You want to spend less than 2 hours playing video games. You must spend at least 1.5 hours on homework. Which of the following is the system of equations that would represent this situation? Let v = number of hours spent playing video games and let h = the number of hours spent on homework.

Answer:

(a-b)(b-c)(a-c)

Step-by-step explanation:

a^2(b - c) + b^2(c-a) + c^2(a - b)

= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b

=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b

= ab(a - b) - c(a^2 - b^2) +c^2(a - b)

=ab(a - b) -c(a - b)(a + b) +c^2(a - b)

=(a - b)(ab - c(a + b) +c^2)

=(a - b)(ab - cb -ca + c^2)

= (a - b)(b(a-c) -c(a-c))

=(a-b)(b-c)(a-c)

Answer:

The measure of angle x is 25 degrees.

Step-by-step explanation:

Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8

Answer:

SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

Answer:

42.1

Step-by-step explanation:

The height of the main triangle is,

h = 47√3/2 (since it's an 30-60-90 triangle)

so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

A

Step-by-step explanation:

the formula of the slope is (y2 - y1)/(x2 - x1)

slope = (3-2)/(-1-2) = 1/(-3) = -1/3

Answer:

Step-by-step explanation:

According to intersecting secants theorem we have the following equation:

Solve it for k:

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

Answer:

Step-by-step explanation:

Okay! so first, let's specify the components of a slope intercept form equation.

We got y=mx+b as a general formula, where m is slope and b is the y intercept.

The graph gives us two points on the line at (0, 5) and (-6, 7)

To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

Plugging in the points into the equation, we get 2/-6, or -1/3

we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.

The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.

y=mx+b

y=-1/3x+5

x^2 + 3x + 2x

x^2 + 5x = Binomial

x^3 + x + 3x^2 - x

x^3 + 3x^2 = Binomial

4x^3 + x + x^2 - 2x

4x^3 + x^2 - x = Trinomial

3x^4 + x - 3x^4 - x

0 = No Polynomial/Zero Polynomial

Hope this helps!

The first given polynomial is binomial.

The second given polynomial is binomial.

The third given polynomial is binomial.

The fourth given polynomial is monomial.

Polynomials are algebraic expressions that consist of variables and coefficients.

A monomial is an algebraic expression that has only one term.

Binomial is an algebraic expression that contains two different terms connected by addition or subtraction.

A trinomial is an algebraic expression that has three non-zero terms.

According to the given question.

We have some polynomials.

If we take the polynomial:

[tex]x^{2} +3x+2x[/tex]

The above polynomial can be written as

[tex]x^{2} + 5x[/tex]

Since, the above polynomial has only two terms therefore it is  a binomial.

[tex]x^{3} +x+3x^{2} -x = x^{3} +3x^{2}[/tex]

The above polynomial has only two terms. Hence, the given polynomial is binomial.

[tex]4x^{2} + x + x^{2} -2x\\=5x^{2} -x[/tex]

The given polynomial has only two terms therefore it is binomial.

[tex]3x^{4} + x - 3x^{4} -x\\= 0[/tex]

The given polynomial has only one term therefore it is monomial.

Find out more information about classification of polynomials here:

https://brainly.com/question/12677239

#SPJ3

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

Answer:

Hello,

4 hours

Step-by-step explanation:

Let say w the work clean one room.

h the number of hours worked

p the number of people who works

k is a constant

6w=k*h*p

3 h, 2 p==> 6w

6w=k*3*2 ==> k=w

5 p, 20 w ==>

20w=k*h*p

20w=w*h*5

20=h*5

h=20/5

h=4

It will take 4 hours.

Answer:

D. 58

Step-by-step explanation:

Given, 3x+8x+4x=6x+63

⇒15x=6x+63

⇒9x=63

⇒x=7

Then 5x+23=5(7)+23

=35+23

=58

Answer:

l = (p - 2w)/2

Step-by-step explanation:

Answer:

123,000 grams

Step-by-step explanation:

1000 mg is equivalent to 1 gram.

Answer:

123000g

Step-by-step explanation:

1000mg=1g

123000000mg= xgrams

cross multiplying,

you'll have

[tex] \frac{123000000}{1000} = 123000[/tex]

Answer:

slalalallalalalalalalalalallapapapqpqpq

Answer:

The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches

Step-by-step explanation:

Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

Answer:

f(7) = 16

Step-by-step explanation:

f(7)  

Let x = 7

We use the first part of the function since 7 > 4

3(7) -5

21 -5

16

f(7) = 16

Let daughter be x years old. Then, Shyam is (x + 28) years old.

So,

x(x + 28) = 204

=> x² + 28x = 204

=> x² + 28x - 204 = 0

=> x² - 6x + 34x - 204 = 0

=> x(x-6) + 34(x-6)

=> (x - 6) (x + 34) = 0

=> x - 6 = 0 or x + 34 = 0

=> x = 6 or x = -34

Since any age cannot be negative, daughter's age is 6 years old.

Answer:

34

Step-by-step explanation:

This is because you will have to simply divide 782 by 23.

782 / 23 =

34 :D

Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

Answer: C and D

Step-by-step explanation:

Using the logistic equation, it is found that options C and D are correct.

The logistic equation for population growth is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:  

For this problem, the equation is:

[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]

Which means that:

Hence, options C and D are correct.

To learn more about the logistic equation, you can check https://brainly.com/question/25697660

Answer:

6(4x + 2y)

Step-by-step explanation:

24x = 2 * 2 * 2 * 3 * x

18y = 2 * 3* 3 * y

Common factors = 2 * 3 = 6

24x + 18y = (6*4x) + (6*2y)   {6 is common in both terms}

               = 6*(4x + 2y)