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3 years ago

14

Which ordered pairs make both inequalities true?

1 answer:

Arlecino [84]3 years ago

7 0

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

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RIGHT TRIANGLES & TRIG!!! <br> Find the value of each variable.

Ray Of Light [21]

Answer:

Z=20.785

Y=12

X=16.97056

Step-by-step explanation:

Use calculator.net to see individual steps in great detail

5 0

3 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

PLEASE HELP QUICK

valentinak56 [21]

Answer: 28 in.

Step-by-step explanation:

its simple

7 0

3 years ago

2. Write the following in order from least<br> to greatest:<br><br> 0.7, 0.84, 4/5, 82%, 71/100

lutik1710 [3]

Answer:

0.7, 71/100, 4/5, 82%, 0.84

4 0

3 years ago

Read 2 more answers

Kyle made a down payment of $850 towards his car loan. He will be paying $415 every month for 24 months. What will the car cost

Len [333]

The answer is B because the formula would be 850+(415*24) and the sum of that would be 10810.

5 0

3 years ago

Read 2 more answers