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3 years ago

What is the difference :8/7-1/3 -31/21 --7/4 -17/21 -4/7

Mathematics

2 answers:

Tema [17]3 years ago

7 0

8/7-1/3

Make both fractions have the same common denominator

24/21 - 7/21

Subtract the numerators while keeping the denominator the same

Final Answer: C. 17/21

melamori03 [73]3 years ago

3 0

$\frac{8}{7} - \frac{1}{3} = \frac{17}{21}$

because in order to solve you need to get the common denominator, which in this case is 21...

$\frac{3}{3} ( \frac{8}{7} ) = \frac{24}{21}$

$\frac{7}{7} ( \frac{1}{3} ) = \frac{7}{21}$

and now that you have a common denominator you can complete the operation...

$\frac{24}{21} - \frac{7}{21} = \frac{17}{21}$

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3 years ago

Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ

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Answer:

D. $f(x) = 2\cdot x^{2}-4\cdot x -16$

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

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(4, 0)

$16\cdot a + 4\cdot b +c = 0$ (Eq. 2)

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$c = -16$ (Eq. 3)

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$4\cdot a - 2\cdot b = 16$ (Eq. 4)

$16\cdot a + 4\cdot b = 16$ (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

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$a = 4 + 0.5\cdot b$

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$a = 4 + 0.5\cdot b$

$a = 4 + 0.5\cdot (-4)$

$a = 2$

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