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Fed [463]
2 years ago
15

Evaluate the expression below when x = 9 and y = 12. 4(x + 6) - 3(y + 4)

Mathematics
1 answer:
Viefleur [7K]2 years ago
8 0
The answer would be 12
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Write the equation of the line passing through the points (−1, 2) and (3, 4)
lina2011 [118]

Answer:

2/4

Step-by-step explanation:

Using a graph, you would start at (-1,2). Next you would move up twice. Then you would move 4 lines to the right. You'll land on (3,4)

6 0
3 years ago
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
3 years ago
I AM GIVING BRAINLIEST
spayn [35]

Answer:

The first choice is correct

Step-by-step explanation:

$32.00 x 15% = 4.80. 32.00-4.80=27.20. Another way to work it is the first choice, subtracting 15% from 100% and then multiplying 85% by $32.00. Same answer

7 0
3 years ago
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
Maslowich

Answer:

16 pi cubic units

Step-by-step explanation:

Given that a region is bounded by

f(x)=√x, y=0, x=1, x=4

And the region is rotated about x axis.

We can find that here radius would be y value and height would be dx

So volume would be as follows:

If f(x) is rotated about x axis volume

= \pi \int\limits^b_a {y^2} \, dx \\=\pi \int\limits^4_1 {x} \, dx\\=\pi *x^2  ^4_1\\= \pi*16-1\\=15\pi

cubic units.

4 0
3 years ago
How can (25√)^2 be rewritten?
Nesterboy [21]

Answer:

25

Step-by-step explanation:

Sqrt 25 = 5

5^2 = 25

6 0
3 years ago
Read 2 more answers
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