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Basile [38]
2 years ago
8

4x-y=10 as coordinates with the y as -6

Mathematics
2 answers:
IgorC [24]2 years ago
6 0

Answer:

(1,-6)

Step-by-step explanation:

4x - y = 10

4x -(-6) = 10

4x + 6 = 10

    - 6    - 6

4x = 4

/4    /4

x = 1

(x, y) -> (1,-6)

Check your answer:

4x - y = 10

4(1) - (-6) = 10

4 + 6 = 10

10 = 10

This statement is correct

Hope this helps!

Lemur [1.5K]2 years ago
6 0

Answer:

(1,-6)

Step-by-step explanation:

4x - y = 10

4x -(-6) = 10

4x + 6 = 10

4x = 4

x = 1

(x, y) -> (1,-6)

Check your answer:

4x - y = 10

4(1) - (-6) = 10

4 + 6 = 10

10 = 10

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Natalija [7]
52² − 48² = (2704 + 2304)(2704 − 2304) = 2,003,200

52² − 48² = (52 + 48)(52 − 48) = 100 * 4 = 400
a² - b² = (a +b)*(a-b) 

52² − 48² = 2704 − 2304 = 400 

<span>52</span>²<span> − 48</span>²<span> = (52 − 48)</span>²<span> = (4)</span>²<span> = 16</span>
8 0
3 years ago
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Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you
scoray [572]
Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n

Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
6 0
3 years ago
Based on a​ survey, when 1009 consumers were asked if they are comfortable with drones delivering their​ purchases, 42% said yes
Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is​ possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}

Using the values, we get:

P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0
3 years ago
If f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)
kvasek [131]

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

3 0
2 years ago
Use the expression (10p+10)+(8p−1). Simplify using properties of operations and then factor the expression using the GCF.
Fofino [41]

Answer:

9 (2p + 1)

Step-by-step explanation:

(18p + 9)

GCF = 9

so, divide everything by 9

9 (2p + 1)

7 0
2 years ago
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