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3 years ago

Find the y-intercept of the function y=-2/3(x-1)+7.

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

AaaAnswer : y=2/3x+23/3

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A photograph was enlarged to a width of 15 inches. If the scale factor was 3 /2 , what was the width of the original photograph?

andre [41]

If the width is 15, and the scale factor from width to length is 3:2, then you will have to divide 15 by 3 to get your original width.
15/3 = 5.
5 is your original width.

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2 years ago

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Lostsunrise [7]

$2 {x}^{2} - 4x + 2 \\ \\ 2(x {}^{2} - 2x + 1 )\\ \\ 2(x - 1) {}^{2}$

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2 years ago

Read 2 more answers

A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3

Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = $nPk=\frac{n!}{(n-k)!}$

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = $5P4+4P2+8P3$

$=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468$

So, this can be done in 468 ways.

7 0

2 years ago

Which equation gives the lines show on Graph y= 2x+4 y= -1/2x-4 y=1/2x+4 y=2x-4

Xelga [282]

The answer is the second one y=1/2x+4

5 0

2 years ago

A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the vol

Romashka [77]

Answer:

Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is 5.72cm each.

Step-by-step explanation:

As the base of triangular prism is equilateral:

∴ Area of base = (√ 3 / 4)× (side)²

According to question:

height of prism = height (side) of base

Volume of prism = 81 cm³,

∴ Volume of prism = Area of base x height

⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height

⇒ 81 cm³ = (√ 3 / 4)× (side)³

⇒ 81 × (4/√3) cm³ = side³

⇒ ∛(81 × (4/√3) cm = side

⇒ side = 5.72cm

6 0

2 years ago