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Lilit [14]
2 years ago
5

find the equation of a line. in slope - Intercept form of a line that passes through the point (-5,-1) and is parallel to the li

ne -2×+4y=8
Mathematics
1 answer:
Paladinen [302]2 years ago
7 0
Y equals 1/2x plus 2.5
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The cost of tuition at Cornell University is 43,000 per year when rounded to the nearest thousand what is the greatest possible
melomori [17]
The cost of the tuitions will if you round off 43:000 it would $43
3 0
2 years ago
Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe
Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

7 0
2 years ago
Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab
Papessa [141]
Notice the picture below

so.. whatever the parabola y= -3x²+k is, will pass over (3,-2) and (-3,-2)

so.. .let us pick say hmmm 3,-2
thus \bf y=-3x^2+k\qquad 
\begin{cases}
x=3\\
y=-2
\end{cases}\implies -2=-3(3)^2+k

solve for "k"

6 0
2 years ago
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
2 years ago
Read 2 more answers
Marcus baked a loaf of banana bread fora party . He cut the loaf into equal size pieces . At end of the party , there were 6 pie
Inessa05 [86]
8 Is total of a whole piece of a whole. So 3 were token from the whole.
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