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3 years ago

9

Write the fraction or mixed number and the decimal shown by the model

1 answer:

OverLord2011 [107]3 years ago

3 0

Answer:

I would help you if you could show the model. :)

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How do you do this??

astra-53 [7]

welll...you have there written just one relationship...it is berween 280 and 4 hours...you have to figure out speed:

$280 \div 4 = 70$

it is speed per hour

then you just connect time and speed:

140 - 2
280 - 4
350 - 5
420 - 6
560 - 8
700 - 10

6 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

HELP FAST IT'S TIMED

anygoal [31]

Answer:

d = 1/2

Step-by-step explanation:

5/6 = 1/3 + d

~Find common denominators

5/6 = 2/6 + d

~Subtract 2/6 to both sides

3/6 = d

~Simplify

1/2 = d

Best of Luck!

4 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that passes through <br> (7, 2) and (2, 12).

Gnoma [55]

Answer:

Step-by-step explanation:

(12 - 2)/(2 - 7) = 10/-5 = -2

y - 12 = -2(x - 2)

y - 12 = -2x + 2

y = -2x + 14

6 0

3 years ago

Would appreciate some help first to answer gets brainliest

elixir [45]

The correct answer is B

3 0

3 years ago