What is the solution to the system of equations y= -5x +3 y=1

Answers

Answer 1

Answer: To find the solution to this, we need to use the substitution method.

y = -5x + 3

Substitute the value for y.

y =1

1 = -5x + 3

Now, solve for x.

1-3 = -5x + 3 Apply the inverse operation to both sides of the equation.
-3

1-3 is -2

-2 = -5x

-5x/-5 = -2/-5
x = 0.4

Final answer:- x = 0.4 y = 1

Answer 2

Answer:

(0.4, 1)

Step-by-step explanation:

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One book costs one pound ninety five pence. How much does six books cost

Answers

All you have to do is times 195 by 6:

195

x 6

-------------

1 1 7 0

Now make that back into £11.70

1.95*6=11.70 the answer is 11 pounds 70 pence

Evaluate and simplify if possible:

Answers

$(2x(3y - 4z))/(3(5x + 4z))$ Plug in the given values
$(2(4)(3(-1) - 4(-3))/(3(5(4) + 4(-3))$ Multiply where needed
$(8(-3 + 12)/(3(20 - 12))$ Add and subtract inside the parentheses
$(8(9))/(3(8))$ Multiply
$(72)/(24)$
3

What is 699,900 rounded to the nearest thousand

Answers

When you round 699,900 to the nearest hundred, you get 700,00.

Answer:

The answer is .

Step-by-step explanation:

When you're rounding up to the "Nearest" all you have to do is find for the thousands place then look to the right of the number. If it's 4 or down, round down. but If it's 5 or up, round up. It's as simple as that. The number to the right of the thousands is 9, so we round up 700,000.

And that will be you're answer!

F(x)=x^3+ax^2+bx+3 where a and b are constants. bx Given that when f (x) is divided by (x+2) the remainder is 7, (a) show that 2a-b=6 Given also that when f (x) is divided by (x-1) the remainder is 4. (b) Find the value of a and the value of b I don't know how solve it :(((((((

Answers

Part I - First synthetic division

You need to use synthetic division to come up with an expression for a and b:

(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...

coefficients = 1 for X^3; A for X^2; B for X^1; and 3

-2 |    1     A B           3

      -2 -2(A-2) 4(A-2)-2B

   1      (A-2)    -2(A-2)+B    4(A-2)-2B + 3

Remainder = 7

So...

4(A-2)-2B + 3 = 7

4 * (A - 2) - 2B + 3 = 7

4A - 8 - 2B =  4

4A - 2B = 12

2A - B = 6
Proved

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Part II - Second Synthetic Division

We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1

1 |    1        A B           3

      1   (A+1)   A+B+1

         1      (A+1)    A+B+1   A+B+4

    Remainder = 4

So...

A + B + 4 = 4

A + B = 0

A = -B

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Part III - Solving for A and B with our two simultaneous equations

We know that A = -B and we also know that 2A - B = 6

Since we know that A is equal to -B We can substitute in A for -B, to get:

2A - B = 6

Therefore...

2A + A = 6

3A = 6

A = 2

Again, as we know that A = -B, and as we have found that A = 2, we can see:

A = -B

Therefore...

2 = -B

B = -2

So our final answer is A = 2, B = -2

Hopefully this answer is more useful than the last one, and isn't so confusing!

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table. Total Cost of Fitness Club Membership Length of membership Club 1 Club 2 Club 3 6 months $108 $150 $126 12 months $216 $210 $252 24 months $432 $390 $504 How many of the clubs require new members to pay a one-time membership fee? 0 1 2 3

Answers

Answer:

Step-by-step explanation:

678

Need help please....

Answers

To solve this or to simplify it simply divide both the top and bottom terms. In the quotient.

By dividing each term with the correct similar variable, you can simplify the expression.

2x - 3y would be the final answer.

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