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3 years ago

Given g(x)=-4(x+4)^2 - 8 what transformations were done compared to the parent function f(x)=x^2 ?

Mathematics

1 answer:

guajiro [1.7K]3 years ago

3 0

A reflection over the x-axis,horizontal shift of 4 in the left direction and a downward shift of 8

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Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.

Rama09 [41]

We need to know the definition of the "combined function" h(x). I'm going to guess--by looking at answers--that the function is $h(x)=\frac{f(x)}{g(x)}$ making it

$h(x)=\frac{5x+1}{x^2-9}$

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined). Factor the denominator.

$h(x)=\frac{5x+1}{(x+3)(x-3)}$

The two values of x that make the denominator 0 are 3 and -3, otherwise written $x=\pm 3$ .

5 0

3 years ago

Please help!!! Here is 25 point please helpp

Ket [755]

Answer:

-3

Step-by-step explanation:

6 0

3 years ago

After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could

White raven [17]

Answer:

1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

Thus,

1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

1/2 (x+5) × 2 = 36 × 2

x+5 = 72

x = 72 - 5

x = 67

Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.

7 0

2 years ago

Read 2 more answers

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The

Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch : 176 males, 264 females

Total number of peoples is

$46+254+176+264=740$

Total number of males is

$46+176=222$

The probability of male is

$P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3$

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

$176+264=440$

The probability of persons who buys lunch is

$P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}$

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

$P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}$

P(male | buys lunch) $=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}$

P(male | buys lunch) $=\frac{\frac{176}{740}}{\frac{22}{37}}$

P(male | buys lunch) $=\frac{2}{5}=0.4$

Therefore the correct option is 4.

8 0

3 years ago

Read 2 more answers

Ray says that the ordered pair for point G is(1,2).Is Ray correct?

liubo4ka [24]

Answer:

1 unit up from the origin, so the ordered pair is (2, 1). (4, 2); Possible explanation: Point H is 4 units to the right of the origin, so the x -coordinate is

NO hes not correct

Step-by-step explanation:

4 0

3 years ago