Which graph shows the solution to the systern of linear inequalities? x+3y>6 y>2x+4

Answer:

[tex]t = 15.7[/tex]

Step-by-step explanation:

Given

[tex]Principal = 25000[/tex] --- P

[tex]Amount = 75000[/tex] --- A

[tex]Rate = 7\%[/tex] --- R

Required

Determine the time (t)

Using continuous growth formula:

We have

[tex]A = Pe^{rt}[/tex]

Convert rate to decimal

[tex]Rate = 7\%[/tex]

[tex]r = 0.07[/tex]

Substitute values for A, P and r

[tex]75000 = 25000 * e^{0.07t}[/tex]

Divide both sides by 25000

[tex]3 = e^{0.07t}[/tex]

Rewrite the exponential function as logarithmic, we have:

[tex]ln3 = 0.07t[/tex]

Reorder

[tex]0.07t = ln3[/tex]

Divide both sides by 0.07

[tex]t = \frac{ln3}{0.07}[/tex]

[tex]t = \frac{1.09861228867}{0.07}[/tex]

[tex]t = 15.69[/tex]

[tex]t = 15.7[/tex]

Hence, the time is approximately 15.7 years

Answer:

48

Step-by-step explanation:

The silmutenous equations

2/3x + 1/2y = 56

X=y

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

18 money will he make for 2 hours of babysitting work

A relation is a function if it has only One y-value for each x-value.

Given,

function f(x) = 4x + 10

The function models the amount of money Francis makes when babysitting for x hours.

We need to find the money he make for 2 hours of babysitting work.

To find this we just need to plug in x value as 2 in function

f(2)=4(2)+10

=8+10

18

Hence, 18 money will he make for 2 hours of babysitting work

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Given:

[tex](3x-2)^9[/tex]

To find:

The coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex].

Solution:

We know that, in the expansion of [tex](x+y)^n[/tex],

[tex]T_{r+1}=^nC_rx^{n-r}y^r[/tex]       ...(i)

[tex](3x-2)^9[/tex] has only one x and in [tex]x^6[/tex], the power of x is 6. It is possible if

[tex]n-r=6[/tex]

[tex]9-r=6[/tex]

[tex]9-6=r[/tex]

[tex]3=r[/tex]

Putting n=9, r=3, x=3x and y=-2 in (i), we get

[tex]T_{3+1}=^9C_3(3x)^{9-3}(-2)^3[/tex]

[tex]T_{4}=\dfrac{9!}{3!(9-3)!}\times (3x)^{6}(-8)[/tex]

[tex]T_{4}=\dfrac{9\times 8\times 7\times 6!}{3\times 2\times 1\times (9-3)!}\times (729x^{6})(-8)[/tex]

[tex]T_{4}=84\times (729)\times (-8)\times x^{6}[/tex]

[tex]T_{4}=-489888x^6[/tex]

Therefore, the coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex] is -489888.

Answer:

Its 259.740

Step-by-step explanation:

I used a calculator? Sorry if I dont have the "Remainders"

Answer:

Point C because your reflecting and thats the midpoint and can i have brainiest

Step-by-step explanation:

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

Answer:

I think that it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

the answer is Y

Step-by-step explanation:

The greatest common factor (GCF) of two polynomial expressions is y.

The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.

To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

The only factor that both polynomials have in common is y, so the GCF is y.

Here is the solution in more detail:

Factor each polynomial.

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

Find the factors that are common to both polynomials.

The only factor that both polynomials have in common is y.

The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.

The GCF is y.

Therefore, the GCF of y2(y + 1) and y(y + 2) is y.

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Step-by-step explanation:

Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.

46 x 46 = 2116

We then subtract this from 3846, so

3846 square feet - 2116 square feet = 1730

Answer:

i think its j

Step-by-step explanation:

Answer:4.5 cups of sugar

Step-by-step explanation:

Okay so 24 cookies is 2 dozen

1 cup of sugar would be used for every 8 cookies

3 dozen is equal to 36 cookies

36/8=4.5 so you would need 4.5 cups of sugar

Answer:

3/4+1/4=4/4=1

1+ 1/2=1 1/2 cups

Step-by-step explanation:

Answer:

254.47

Step-by-step explanation:

Answer:

y=√(x1-x2)^2+(y1-y2)^2

y=√(-3-(-11))^2+(15-0)^2

y=√8^2+15^2

y=√64+225

y=√289

y=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

x₁ = -3 and x₂ = -11

y₁ = 15 and y₂ = 0

√(-3 - -11)² + (15 - 0)²

√( 8² ) + ( 15² )

17

Answer:

Step-by-step explanation:

43min=3miles

93min=3*93=279/43

austin will walk 6.488miles for 93 minutes

Answer:

c ) 7/3

Step-by-step explanation:

Answer:

4825.49 mm^3

Step-by-step explanation:

V = (pi)(r^2)(h)

(pi)(8^2)(24) = 4825.48632 (round) 4825.49

hopefully this is right i haven't done cylinders in a while lol

Answer:

x is the sidelength of the square;

f(x) = x^(2)

8100 = x^(2)

90 = x

Answer:

195.45 in

Step-by-step explanation:

Step one:

given

sphere has a radius of 3.6 centimeters.

Required:

the volume of a sphere

The formula for the volume is

V=4/3πr^3

Step two:

subsituting we have

V=4/3*3.142*3.6^3

v=4/3*3.124*46.65

v= 586.37/3

v=195.457 in

to the nearest hundreth 195.45 in

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

Answer:

The selling price  = $36

Step-by-step explanation:

So

Percent Markup on Cost  (M) = 200% of 12

                                                = 200/100 × 12

                                                = 2 × 12

                                                = $24

Thus the selling price  =  Cost (C) + Markup (M)

                                      = $12 + $24

                                      = $36

Therefore, we conclude that:

The selling price  = $36

Answer:

1. 50℅

2. 25℅

3. 60℅

hope it helps.

Answer:

Below.

Step-by-step explanation:

1. Divide 15 by 30 which is  1/2.

Then multiply 1/2 by 100 = 50%.

2.  3/12 = 1/4

1/4 * 100 = 25%

3.  6/10 = 0.6

0.6 * 100 = 60%.

Answer:4(3x +2)

Step-by-step explanation:

The expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each is  4(3x + 2).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The total cost to go horseback riding is a dollar per hour plus a $2 fee for renting a helmet.

Let, The number of hours is represented by 'x'.

Therefore, The cost of riding with a helmet is,

= x + 2.

The cost of riding for 3 hours is 3x + 2 and the cost for 4 people is doing the same is, 4(3x + 2).

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Answer:

divide 19400000 and 51000

answer will be 380.39

Answer: x=68° because this triangle is a isoscele triangle which means that it haves 2 sides that are congruent and equivalent which means they have the same value and sides and are Congruent just means In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The value of angle [x] is equivalent to 44°.

We have a triangle as shown.

We know, the angles opposite to equal sides are equal.

So, we can write -

x + 68° + 68° = 180°

x = 180° - (136°)

x = 44°

Therefore, the value of angle [x] is equivalent to 44°.

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Answer:

[tex]CF<BC<BF[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]