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1 year ago

Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.

Mathematics

1 answer:

meriva1 year ago

7 0

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

- (<u>x³ + x² - x</u>)

5x² + x + 5

-(<u>5x² + 5x - 5)</u>

-4x + 10

Result : $x+5+\frac{-4x+10}{(x^{2}+x-1)}$

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

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H is directly proportional to the square root of p h= 5.4 when p = 1.44 find h when p =2.89

LenKa [72]

Answer:

h=7.65

Step-by-step explanation:

H is directly proportional to the square root of p;

Let k be the constant of proportionality;

Means h=k√p

This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;

h1/√p1=h2/√p2

Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)

So that

5.4/√1.44=h/√2.89

5.4/√1.44 ×√2.89 = h

7.65= h

h=7.65

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Judy’s brother Sam has a collection of 96, but what are the 10 way Sam can divide his comic books equal groups

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He can divide by 2,3,4,6,8,12,16,24,32, and 48 but

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1 year ago

Jenny is eight years older then twice her cousin sues age. The sum of their ages is less then 32. What is the greatest age that

maw [93]

Answer:

The age of Sue could be 7 years

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The first equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The second equation will be :

J + S < 32 ----------------(2)

Now rearrange both equations :

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S < 24/3

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Answer: 10 cups of sugar

Step-by-step explanation:

Cups of sugar : Cups of flour

2 : 3

? : 15

Cross multiply

3? = 15 × 2

3? = 30

Divide both sides by 3

? = 10

He needs 10 cups of sugar.

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1 year ago

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor

PilotLPTM [1.2K]

Answer:

The length of one side of the hot tub is 4.8ft

Step-by-step explanation:

Given

Shape: Square

$k = 5$ -- scale factor

$B'C' = 24$

Required

Side length of ABCD (the hot tub)

From the question, we understand that

$ABCD \to D_5 \to A'B'C'D$ ABCD dilated by 5 to A'B'C'D

This implies that:

$BC * 5 = B'C'$ i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D

So, we have:

$BC * 5 = 24$

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1 year ago

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