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Alja [10]
3 years ago
7

The coordinate grid shows three points P, Q, and R:

Mathematics
1 answer:
Elden [556K]3 years ago
5 0

Answer:

P=(-6,-2)

Q=(-6,-6)

R=(4,-6)

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Simplify the following expression: 4-3 x 4-8.
Ivenika [448]

Answer: -3x^4-4

Step-by-step explanation: -3x^4+4-8 > =-3x^4-4

3 0
2 years ago
Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

3 0
3 years ago
18 is what percent of 42?
Fittoniya [83]

Answer:

42.86

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the line y - 1 =4(x+3)? no links.
Misha Larkins [42]

Answer:

4th option

Step-by-step explanation:

The slope m = 4

b = 32-(4×4) = 16

y = mx+b

or, y = 4x+16

Answered by GAUTHMATH

3 0
3 years ago
A drilling crew dug to a depth of 26 ½ feet during their first day of drilling. On the second day, the crew dug down 9½ feet mor
Neporo4naja [7]

The depth of the bottom of the hole after the second day is 36 feet using addition operation.

<h3>What is addition?</h3>

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.

Given the depth on the first day is 26 ½ feet.

Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day

This implies, depth on the second day = 9½ + 26 ½

= 36 feet

Therefore, the depth of the bottom of the hole after the second day is 36 feet.

To learn more about addition, visit:

brainly.com/question/25621604

#SPJ9

5 0
1 year ago
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