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2 years ago

Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary.

Mathematics

1 answer:

Murljashka [212]2 years ago

8 0

Answer:

least value of n is 9

Step-by-step explanation:

Mary has n sheep. Then she buys 17 extra sheeps.

Mray = n + 17 sheeps

Sam had exactly 4 times as mary. Then Sam sold 8 of his sheep.

Sam = 4n - 8 sheep.

Sam has more sheep than Mary

Sam sheep is greater than Mary

4n - 8 > n + 17

Collect like terms

4n - n > 17 + 8

3n > 25

Divide both sides by 3

n > 25/3

n > 8.3333

Note: the value of n must be whole

Therefore, least value of n is 9

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Answer:

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Step-by-step explanation:

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2 years ago

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riadik2000 [5.3K]

Answer:

<h2> no, because the remainder is 126</h2>

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

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3 years ago

Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

Vertex form

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

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2 years ago