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3 years ago

-2x + y =5 SOLVE FOR Y. THEN MAKE A TABLE OF ANSWERS

Mathematics

1 answer:

barxatty [35]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

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A graph has the equation Y=x/8 what is the constant of proportionality

aev [14]

Answer: 1/8x

Step-by-step explanation:

y= 1/8x

below are the x:y relationships

x:y

4:0.5

8:1

12: 1.5

16:2

20:2.5

24:3

28:3.5

32:4

etc.

7 0

3 years ago

Use Fermat's Little Theorem to determine 7^542 mod 13.

m_a_m_a [10]

$a^{p-1} \equiv 1 \pmod p$ where $p$ is prime, $a\in\mathbb{Z}$ and $a$ is not divisible by $p$ .

$7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}$

4 0

3 years ago

Read 2 more answers

Solve the system of equations.<br> y= 3x<br> y= x2-10

svetoff [14.1K]

Answer:

(-5, 2) and (2, 6)

Step-by-step explanation:

Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.

3x = x^2 - 10

x^2 - 3x - 10 = 0

Use the quadratic equation to solve for x.

x = - 5, 2

Now solve for y using these two values of x by substituting it back into the equations.

y = - 15, 6

In coordinate form, (-5, 2) and (2, 6)

7 0

3 years ago

$600 invested at 6% compounded annually for six years

Lynna [10]

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:

7 0

3 years ago

An amusement park charges admission plus a fee for each ride. Admission plus four ride cost $22. Admission plus seven ride cost

nignag [31]

Answer:

Admission fee charged = $3

Cost of each ride = $10

Step-by-step explanation:

Let admission fee charged by amusement park in dollars be = $x$

Let cost of each ride in dollars be = $y$

Given:

Admission plus four rides cost $22

If each ride cost in dollars = $y$

Cost of 4 rides in dollars will be = $4y$

So, the total cost in dollars will be given as = $x+4y$

So, we have

$x+4y=22$

Admission plus seven ride cost $31.

If each ride cost in dollars = $y$

Cost of 7 rides in dollars will be = $7y$

So, the total cost in dollars will be given as = $x+7y$

So, we have

$x+7y=31$

So, we have the system of equation as:

A) $x+4y=22$

B) $x+7y=31$

Solving the system by elimination method.

Eliminating $x$ by subtracting equation A from B.

$x+7y=31$

- $x+4y=22$

- - - [Sign of each term of subtract-ant gets reversed]

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

$3y=9$

Dividing both sides by 3.

$\frac{3y}{3}=\frac{9}{3}$

∴ $y=3$

Plugging in $y=3$ in equation A.

$x+4(3)=22$

$x+12=22$

Subtracting both sides by 12.

$x+12-12=22-12$

∴ $x=10$

Thus, admission fee charged = $3

Cost of each ride = $10

4 0

3 years ago