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Butoxors [25]
3 years ago
10

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

Mathematics
2 answers:
tester [92]3 years ago
8 0
Hello the answer is 

<span>c)g(x) = (x − 4)2 + 9 
</span>
Alenkinab [10]3 years ago
7 0

For this case, the parent function is given by:

f (x) = x ^ 2

We apply the following transformations:


Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

h (x) = x ^ 2 + 9


Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

g (x) = (x-4) ^ 2 + 9

Answer:

The function g (x) is given by:

g (x) = (x-4) ^ 2 + 9

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A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Ch
kobusy [5.1K]

Answer: He bought 0.5 pounds of chocolate-covered pretzels and 1.3 pounds of gumdrops.

Step-by-step explanation:

Let Troy bought x pounds of chocolate-covered pretzels and y pounds of gumdrops.

Since, the total pounds he bought = 1.8 pounds,

That is, x + y = 1.8  ------------(1)

Also, he total spent total 1.29 dollars in which Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound.

That is, 0.89 x + 0.65 y = 1.29  -----------(2),

0.89 x × Equation(1),

We get,

0.89 x + 0.89 y = 1.602  ------------(3)

Equation(2)-equation(3),

We get, 0.24 y = 0.312 ⇒ y = 1.3

By Substituting this value in equation (1),

x = 1.8 -1.3 ⇒ x = 0.5

Thus, he bought chocolate-covered pretzels, x = 0.5 pounds,

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8 0
2 years ago
4.
OLEGan [10]

Answer:

\cos\ A = \frac{2}{4.5}

Step-by-step explanation:

Given

sin\ A = \frac{2}{4.5}

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

\cos\ A = \frac{Adjacent}{Hypotenuse}

\cos\ A = \frac{AC}{AB}

\cos\ A = \frac{2}{4.5}

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Can the sides of a triangle have lengths 1, 8, and 9?
Svetllana [295]

Answer:

no

Step-by-step explanation:

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