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1 year ago

Write down a pair of integers whose

1 answer:

6 0

<span>The pair of integers that I chose are:

(a) sum is –3
5 + (-8) = -3

(b) difference is –5
2 - 7 = -5

(c) difference is 2
14 -12 = 2

(d) sum is 0
2 - 2 = 0</span>

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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

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Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

$g(x)=a(x-h)^2+k$ ... (1)

where, a is a constant (h,k) is vertex.

The given function is

$f(x)=x^2$

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

$g(x)=a(x-5)^2+2$

g(x) is passes through (3, 6).

$6=a(3-5)^2+2$ .... (2)

$6-2=4a$

$4=4a$

Divide both sides by 4.

$a=1$

Substitute a=1 in equation (2).

$g(x)=1(x-5)^2+2$

$g(x)=(x-5)^2+2$

The function g(x) is $g(x)=(x-5)^2+2$ .

Therefor, the correct option is 4.

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1 year ago

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Adele Garcia obtained a loan of 8,000$ at 12% interest for 24 months . The monthly payment is 367.80. after 15 payments the bala

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Answer:

Davide's age is 10.

L'età di Davide è 10.

Step-by-step explanation:

The average age of Aldo, Bruno, Carlo and Davide is 16 years.

I am going to say that:

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y is Bruno's age.

z is Carlo's age.

w is Davide's age.

Average of the 4 is 16 years.

This means that:

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If we do not consider Davide, the mean is 18. So

$18 = \frac{x + y + z}{3}$

$x + y + z = 54$

Replacing in the first equation:

$x + y + z + w = 64$

$54 + w = 64$

$w = 10$

Davide's age is 10.

L'età di Davide è 10.

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