Solve the system by elimination.
2x-5y=8
x-3y=-1

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

2r - s = 10

2r = 10 + s

r = 5 + s/2 --(1)

rs - s^2 = 12 --(2)

sub (1) into (2):

(5 + s/2)s - s^2 = 12

5s + 0.5s^2 - s^2 = 12

-0.5s^2 + 5s - 12 = 0

s^2 - 10s + 24 = 0

(s - 6)(s - 4) = 0

therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

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Answer:

i know the circumference is 1.57 so it is A)

Step-by-step explanation:

Answer:

1) -9.3465 × 10^8

2) 1.6214 × 10^-1

3) 1.33 × 10^-11

Explanation:

When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.

First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.

For example, to solve the first expression (problem one):

7.35 x 10^6 – 9.42 x 10^8

Divide 10^8 by 10^6 to get 10^2

So

it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.

7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.

Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.

Anyway for the second expression (problem 2)

Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.

So 3.14 × 10^-3 + 1.59 × 10^-1

The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2

So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.

Answer:

Step-by-step explanation:

4 + 6z - 15 = 6z - 11

2(3z -4) = 6z - 8

Here's the tricky part. You are only taking 8 away from 6z

The result is going to be larger than when you take away 11 from 6x

Try it

suppose z = 7

6*7 - 8 = 42 - 8 = 34

6*7 - 11 = 42 - 11 = 31

34>31

9514 1404 393

Answer:

  Compounded continuously, $5,02

Step-by-step explanation:

Compounded quarterly, the amount in the account will be ...

  A = 6500(1 +.0325/4)^(4·5) ≈ 7641.89

Compounded continuously, the amount in the account will be ...

  A = 6500e^(.0325·5) = 7646.91

So, the account compounding continuously has the higher yield, by the amount of ...

  $7646.91 -7641.89 = $5.02

Answer:

The must have the same dimension

Step-by-step explanation:

Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.

When we add 2 matrices the matrices should be of the same size and same dimension

A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".

In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B

A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex]  B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]

A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]

To learn more about Matrices

https://brainly.com/question/3380818

Answer: A. 12 + 12√12

Step-by-step explanation:

The perimeter of a triangle is acquired by adding up all the sides of the triangle.

In this case therefore the perimeter is;

= 2√2 + 2√2 + 4

= 4√4 + 4

There are 3 triangles so the total perimeter is;

= 3 * (4√4 + 4)

= 12√12 + 12

= 12 + 12√12

Answer:

1. Given

2. Given

3. Vertical Angles prop

4. SSS

Step-by-step explanation:

Hope this helps ya!

You are lucky I wish our teacher gave us proofs like this!

Answer:

D

Step-by-step explanation:

because the slope is 7 and y-int is 6

so, u must use y=mx+c

just replace the slope and y-int into that formula

Answer:

folding 6 loads of laundry in 3 days i think

Step-by-step explanation:

im pretty sure a rate is something paid/done/etc per one unit if that makes any sense lol

Answer: the answer is folding 6 loads of laundry in 3 days

Answer:

Step-by-step explanation:

Answer is "B"

Answer:

y=-3x+6

Step-by-step explanation:

that might not be fully simplified, but that should be the equation

work it out

Step-by-step explanation:

Answer:

i believe 40.88

Step-by-step explanation:

2.34 + 3.5 x 7 = 40.88

Answer:

(-7, -2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

x - 7y = 7

6x - 7y = -28

Step 2: Rewrite systems

x = 7y + 7

6x - 7y = -28

Step 3: Solve for y

Step 4: Solve for x

And we have our answer!

Answer:

The solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+y=4[/tex]

[tex]x-y=2[/tex]

solving the system of the equations

[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=4}[/tex]

[tex]-2y=-2[/tex]

solving

[tex]-2y=-2[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]

[tex]x+1=4[/tex]

[tex]x=3[/tex]

Therefore, the solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Answer:

x = no.of months

y = cost

f(12) = 30x+75

f(12) = 30(12)+75

f(12) = 360+75

f(12) = 435

Therefore it cost him $435 in 12 months.

It will cost him $435 in 12 months or the value of f(12) is $435.

It is given that cost of gym membership is $75 plus $30 per month and the equation representing it is y = 30x + 75.

We have to find the value of f(12) or cost of gym after 12 months.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

The cost of gym membership is $75 plus $30 per month.

and

The given equation is ;

y = 30 x + 75

where ;

x = no. of months

and

y = cost

So , we can find out the value of f(12) as ; y = f(x) = f(12)

⇒ f(12) = 30x + 75

⇒ f(12) =( 30 × 12 ) + 75

⇒ f(12) = 360 + 75

⇒ f(12) = 435

Thus , it will cost him $435 in 12 months or the value of f(12) is $435.

To learn more about functions click here ;

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#SPJ2

Answer:

yeah for sure

Step-by-step explanation:

Answer:

5 gallons

Step-by-step explanation:

there were 5 gallons already in the tank before it started to get filled.

Answer:

x=7

Step-by-step explanation:

Answer:

IT'S A. HEHEHEHEHEHEHE

Answer:

a and b

Step-by-step explanation:

just trust =) ive done this before

Answer: The first one i think is C and the second one is B

Answer:

y=4x+4

Step-by-step explanation:

The equation for the slope-intercept form is y=mx+b. m is the slope and b is the y-intercept. To find the slipe we can use the equation m=y2-y1/x2-x1, next decide which one you want as x1,y1, and which one as x2,y2 (doesn't really matter which one you choose.) I then plugged in my value and got the equation -8-4/-3-0=m=4. so far we have y=4x+b. b is our y-intercept which they already have us, which is 4 so we just have to plug it in and get our answer y=4x+4.

Hope this helps you

Answer:

Step-by-step explanation:

Clue #6 is -5/4 (first option)

Clue #7 is 1/8 (second option)

Clue #8 is -7/6 (first option)

Clue #9 is -10/7 (last option)

Clue #10 is 10 (last option)

Answer:

I can't see the picture, sorry. :(

Step-by-step explanation:

Answer:

y=3/4x-5.5

Step-by-step explanation:

y=mx+b

B=starting point 5.5

x= variable

M=slope 3/4

Answer:

30

Step-by-step explanation:

(3x12)-(4+2)

36-6

30

Answer:

s ∈ ( − ∞ , 1 )

Step-by-step explanation:

-2(s-7)>4s+8

-2s+14>4s+8

14>6s+8

6>6s

1>s

Answer:

(-inf, 1)

Step-by-step explanation:

Answer: 9.1-10=0.2x

Step-by-step explanation:

9.1 = −0.2x + 10

−0.2x + 10 = 9.1

−0.2x + 10 − 10 = 9.1 −10

−0.2x = −0.9

−0.2x / −0.2 = −0.9 / −0.2

x=4.5

10 = 9.1 + 0.2x

10 = 0.2x + 9.1

0.2x + 9.1 = 10

0.2x + 9.1 − 9.1 = 10 − 9.1

0.2x = 0.9

0.2x / 0.2 = 0.9 / 0.2

x=4.5

10 − 0.2x = 9.1

10 + (−0.2x) = 9.1

−0.2x + 10 = 9.1

−0.2x + 10 − 10 = 9.1 − 10

−0.2x = −0.9

−0.2x / −0.2 = −0.9 / −0.2

x=4.5

9.1 - 10 = 0.2x

-0.9 = 0.2x

-0.9 / 0.2 = 0.2x / 0.2

x= -4.5

Answer:

the answer is d/9.1 – 10 = 0.2x

Step-by-step explanation:

Answer:Yes

Step-by-step explanation:

25% of 20 is 5.

Answer:

Step-by-step explanation:

25% of 20 is 5.