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2 years ago

If a function, f(x) is shifted to the left four units, what will the transformed function look like? use an example.

1 answer:

6 0

If you shift a function to the left 4 units, the only thing you are doing to it is moving it. You are not changing its shape or its orientation. A simple example is the parabola y = x^2. The vertex is at the origin. When you shift it 4 units to the right, the new equation is y = (x+4)^2 which shows we have moved the parabola 4 units to the left. Nothing else changes about it.

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keisha bakes a pan of brownies. she takes 1/2 to picnic. at picnic her family eats 3/8 of the whole pan. which fraction os the w

Zinaida [17]

It should be 1/8 because if she takes 1/2 and they eat 3/8 you make the denominator the same and you subtract it and get 1/2 I hope I broke it down so you can understand

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2 years ago

the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle

goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0

2 years ago

Alexandra bought a hat that costs 14 dollars and a watch that costs 6 dollars. At the counter she received a discount. If she pa

leonid [27]

Answer:

It was a 25% discount

Step-by-step explanation:

25 percent of 20 is 5. You subtract 5 from 20 and get 15.

I hope this helps.

6 0

2 years ago

Sophia bought snacks for her team's practite. She bought a bag of chips for $1.84 and

Sergeeva-Olga [200]

$8.10 hope this is right

7 0

2 years ago

Read 2 more answers

Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a disc

Whitepunk [10]

Answer:

$780

Step-by-step explanation:

P = Original Price

P (100% - 10%) = $702

P (90%) = $702

(P (.9)) / .9 = $702 / .9

P = $780

Check answer:

$780 (90%) = $702

6 0

2 years ago