All categories

3 years ago

Let A = 2, B = 3, C = 9, and D = 15.

Mathematics

1 answer:

bogdanovich [222]3 years ago

7 0

Step-by-step explanation:

Put A = 2, B = 3, C = 9 and D = 15 to the given expressions.

Use PEMDAS.

-A + C - (D : B)

-2 + 9 - (15 : 3) = -2 + 9 - 5 = 7 - 5 = 2

B × (-C) - (-D) + A

3 × (-9) - (-15) + 2 = -27 + 15 + 2 = -12 + 2 = -10

(C + D) : B + A

(9 + 15) : 3 + 2 = 24 : 3 + 2 = 8 + 2 = 10

D : B + A - C

15 : 3 + 2 - 9 = 5 + 2 - 9 = 7 - 9 = -2

You might be interested in

Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

= x² + x(-r - s) + rs

or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

Now, given : r = Rational and the negative of a rational is also rational.

⇒ -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0 is also rational number.

7 0

4 years ago

Question in image! Thanks for help! (Also im posting more questions like this so if these are easy for you keep a eye out on my

AlexFokin [52]

Answer:

c. x=50; m< LOK = 114

Step-by-step explanation:

(x+64) + 66 = 180

x + 130 = 180

x = 50

4 0

3 years ago

Read 2 more answers

Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43. (2 points)

Elis [28]

Answer:

This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.

Step-by-step explanation:

3 0

3 years ago

Please help! I dont understand math at all! :o(

Brut [27]

Answer:

$393.75

$2,446.88

Step-by-step explanation:

Let's take this problem one step at a time. First let's compute for the total price after the sales tax has been added.

Sales tax = 8.75% or 0.0875

Original Price = $4,500

The sales tax is computed by multiplying the total to the sales tax rate.

4,500 x 0.0875 = $393.75

$393.75 is the total sales tax that Brenton will pay.

Now to find the total price with the sales tax included, we simply add the original price and the sales tax value together.

4,500 + 393.75 = $4,893.75

Now that we have the total overall price, we can then compute for how much the 50% down payment Brenton has made.

Down Payment = 50% or 0.5

Overall Price = $4,893.75

We simply multiply both the down payment and the overall price to find how much Brenton has paid.

4,893.75 x 0.5 = $2,446.88

Now that we know how much Brenton paid, we also now know how much Brenton financed by subtracting the overall price to his down payment.

4,893.75 - 2,446.88 = $2,446.88

Brenton finance a total amount of $2,446.88.

5 0

3 years ago

line k has a slope of -5. line j is perpendicular to line k and passes though the point (5,9) create the equation for line j

Anna71 [15]

Answer:

y = 1/5x + 8

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!

3 0

3 years ago