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natulia [17]
2 years ago
15

Find the coordinates of the vertices of the figure after the given transformation: T<0,7>

Mathematics
1 answer:
valentina_108 [34]2 years ago
3 0

Answer:

Option A.

Step-by-step explanation:

The general transformation works as follows:

T<a,b>(x, y) = (x + a, y + b)

Then for our transformation, we will have:

T<0,7>(x, y) = (x, y + 7)

So now that we know how the transformation works, we need to apply it to the vertices.

Looking at the graph we can see that the vertices are:

X = (-4, -5)

W = (-3, -3)

L = (-5, -2)

Then the new points will be:

X' = (-4, - 5 + 7) = (-4, 2)

W' = (-3, -3 + 7) = (-3, 4)

L' = (-5, -2 + 7) = (-5, 5)

Then the correct option is A.

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Adriano wants to get a new cell phone plan. Company A: $80 for a new phone in the monthly fee of $45 a month. Company B: she can
Degger [83]

Answer: it will take 2 months.

Step-by-step explanation:

Let x represent the number of months it will take for the total cost for both companies to be equal.

Company A: $80 for a new phone and the monthly fee of $45 a month. This means that the total amount that Company A charges for x months would be

80 + 45x

Company B: she can keep her all sound and pay $85 a month. This means that the total amount that Company B charges for x months would be

85x

For the total cost for both companies to be equal, the number of months would be

80 + 45x = 85x

85x - 45x = 80

40x = 80

x = 80/40 = 2

3 0
3 years ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


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3 years ago
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Answer:

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saveliy_v [14]
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nata0808 [166]
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