Determine the number of solutions for the linear system that models this problem:
Two people are playing a game. The difference in their points is 57. When the number of points each
player has is doubled, the difference is 114. How many points does each person have?
Select one:
a. no solution
b. two solutions
c. one solution
d. infinite solutions

Answer:

A. (3,3)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

that's a very vague question

Answer:

x=0.66+1.88i

x=0.66-1.88i

Step-by-step explanation:

Given

3[tex]x^{2}[/tex]-4x+12=0

using the Quadratic Formula where

a = 3, b = -4, and c = 12

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

x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]

x=4±[tex]\sqrt{16-144} /6[/tex]

x=-4±[tex]\sqrt{128} /6[/tex]

[tex]b^{2} -4ac<0\\[/tex]

x=-4±[tex]8\sqrt{2} i[/tex]/6

[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]

Which becomes,

x=0.66+1.88i

x=0.66-1.88i

The value of x will be x=0.66+1.88i

x=0.66-1.88i

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

Answer:

c

Step-by-step explanation:

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.    

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.    

Answer:

this is the answer of your question

Step-by-step explanation:

[tex]i) \: {(729)}^{ \frac{1}{6} } [/tex]

[tex] = {(3 \times 3 \times 3 \times 3 \times 3 \times 3)}^{ \frac{1}{6} } [/tex]

[tex] = \sqrt[6]{(3 \times 3 \times 3 \times 3 \times 3 \times 3)}[/tex]

= 3 (Ans)

[tex]ii) \: {(64)}^{ \frac{2}{3} } [/tex]

[tex] = \sqrt[3]{ {64}^{2} } [/tex]

[tex] = \sqrt[3]{(64 \times 64)} [/tex]

[tex] = \sqrt[3]{ {2}^{12} } [/tex]

[tex] = {(2)}^{ \frac{12}{3} } [/tex]

[tex] = {2}^{4} [/tex]

= 16 (Ans)

[tex]iii) \: {(243)}^{ \frac{6}{5} } [/tex]

[tex] = {( \sqrt[5]{ {243} })}^{6} [/tex]

[tex] = {3}^{6} [/tex]

= 729 (Ans)

Answer:

Turkeys with an internal temperature of less than 165° F are undercooked.

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.

Answer:

the answer is 2

Step-by-step explanation:

It is like you are taking the antilogarithm of log 2

Answer:

2 is the answer of your question

hope it is helpful to you

16 hours 6 minutes

See the image above

Answer:

-3 squared means it is 0.1 for each -1, so it would be 0.001

Step-by-step explanation:

it is 0.003 for a and the rest you can figure out

Answer:

0

Step-by-step explanation:

Answer:

D. 120

Step-by-step explanation:

Answer:

120

5*24=120

5*20=100

5*16=80

Answer:

I guess 400g good for your diet. and health

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15

Answer: -40 or negative forty

Step-by-step explanation:

Answer:

[tex] 365.97\: cm^2[/tex]

Step-by-step explanation:

Area of the shape = Area of triangle with base 22 cm and height 16 cm + Area of semicircle with radius (22/2 = 11) 11 cm

[tex] = \frac{1}{2}bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 22 \times 16 + \frac{1}{2} \times \times 3.14 {(11)}^{2} \\ \\ = 11 \times 16 + 3.14 \times 60.5 \\ \\ = 176 + 189.97 \\ \\ = 365.97 \: {cm}^{2} [/tex]

Step-by-step explanation:

The radius would be 11 which is half of the width and the height is 16.

A= πr(r+√h²+r²)

A= π•11•(11+√16²+11²)

A≈ 1051.11836

Answer:

37 5/8

Step-by-step explanation:

Hey buddy I am here to help!

*converting them into improper fraction*

13/8 + 149/8 + 139/8 = 13+149+139/8 = 301/8 = 37 5/8

Hope the answer helps!

Plz mark me brainliest

Answer:

Length=15cm

Hope this answer is right!!

Step-by-step explanation:

Length be 3 cm longer than the breadth.

So, x=y+3

Perimeter = 2(x+y)54

So, x+y=27 =>x=15

x-y=3 =>x=12

So, length is 15 cm

Answer:A

Step-by-step explanation:

I JUST TOOK THE TEST ON EDGE

The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.

We have the function f(x) = 9[tex]x^4[/tex] - 2x² - 3x + 4.

For Polynomial Function

f(x) = p[tex]x^n[/tex] + ...... + q

So, The possible rational roots are calculated using

Roots = ± factors of p / factors of q

          = ± factors of 4 / factors of 9

          = ± 1, 2, 4 / 1, 3, 9

So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

Learn more about Rational Root Theorem here:

brainly.com/question/10937559

#SPJ7

Step-by-step explanation:

please check the attachment

Answer:

There are:

i. Two blacks

ii. The first is black

or, alternatively

iii. Both are of same colour

i. Two blacks

ii. The first is black

or alternatively

iii. Both are of same colour

Answer:

I think the answer is 5 hope it helps