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3 years ago

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Two math teachers come together and write math problems about fruit vendors. If Teacher A can write 50 problems in 60 minutes an

d Teacher B can write 50 problems in 80 minutes, how long would it take them to write 50 problems if they worked together?

2 answers:

mylen [45]3 years ago

8 0

Approximately 70 minutes (???)

Fudgin [204]3 years ago

4 0

Answer:

hi

Step-by-step explanation:

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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

Ahat [919]

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)

$4\cdot a -2\cdot b + c = 0$ (Eq. 1)

(4, 0)

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

(0,-16)

$c = -16$ (Eq. 3)

Then,

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

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

(Eq. 3 in Eqs. 1 - 2)

$a - 0.5\cdot b = 4$ By Eq. 4 (Eq. 4b)

$a = 4 + 0.5\cdot b$

Then,

$16\cdot (4+0.5\cdot b) + 4\cdot b = 16$ (Eq. 4b in Eq. 5)

$64 + 12\cdot b = 16$

$12\cdot b = -48$

$b = -4$

The remaining coeffcient is:

$a = 4 + 0.5\cdot b$

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

$a = 2$

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is $f(x) = 2\cdot x^{2}-4\cdot x -16$ . Thus, the right answer is D.

6 0

3 years ago

A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that

Montano1993 [528]

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

7 0

2 years ago

1/4s=15 solve for s. I’m not sure abt this

Sonbull [250]

1/4 × s = 15

s = 15 : 1/4

s = 15 × 4

s = 60

4 0

2 years ago

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What is the equation of the line that passes<br> through the point (3, 1) and the point (6,-1)?

neonofarm [45]

Answer:

C.

Step-by-step explanation:

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2 years ago

What is the equation of the line in slope-intercept form?

Varvara68 [4.7K]

Answer:

y=-5/4x+5

Step-by-step explanation:

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2 years ago

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