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3 years ago

StartFraction 4 over 5 EndFraction = StartFraction 9 over x EndFraction?

Mathematics

1 answer:

scZoUnD [109]3 years ago

6 0

Answer:

x= 11.25

Step-by-step explanation:

cross multiply 9 by 5 divided by 4 and that would give you x

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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 family's vacation destination is 850 miles from their home. They travel by car 6 hours on the first day of their trip. Their a

expeople1 [14]

The distance traveled is equal to the product of the speed and the time. For the first day,
d = (45 mile/h)(6 h) = 270 miles
On the second day,
d = (45 mile/h)(7 h) = 315 miles
The total distance traveled after 2 days is equal to 585 miles. Subtracting this value from the given distance will give us an answer of 265 miles.

5 0

3 years ago

Read 2 more answers

The ratio of the number of sheep to the number of horses on a farm is 8:3. If there are 42 horses on the farm, how many sheep ar

Alenkinab [10]

Well, if there are 3 sheep for every 8 horses then there should be 15.75 sheep.

.......you divide 42 by 8 to find the number of horses (5.25) and then multiply that by 3 (15.75).

I hope this helps you.

3 0

3 years ago

If a gene has one completely dominant allele and two recessive alleles, how

yanalaym [24]

Answer:

B)2

Step-by-step explanation:

I think it is 2 but Im not percent. Hope this helps

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3 years ago

Will the sum of 2x3 + x2 - 4 and -5x² - 6x? be a polynomial?<br> yes<br> no

Eva8 [605]

Answer:

Yes

Step-by-step explanation:

Since we are adding two polynomials

The sum will also be polynomial

4 0

3 years ago