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Andreyy89
2 years ago
10

Please help me with the correct answer Solve (x - 3)^2=5

Mathematics
2 answers:
Licemer1 [7]2 years ago
5 0

Answer:

It's B.

Step-by-step explanation:

Rus_ich [418]2 years ago
4 0
The answer is B. First solve the parentheses. Then make a quadratic equation and solve from there.
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4.5qt/min = ______ gal/h
Nuetrik [128]
4.5 quarts per minute is 1.125 gallons per minute using the quarts-to-gallons conversion ratio.  1.125 gallons per minute is equal to .01875 when divided by 60, so we have .01875 gallons per hour.
7 0
3 years ago
Because of heavy traffic, a bus took 30 minutes to cover a distance of 20 city blocks. How many minutes per city block did the b
aev [14]

a bus took 30 minutes-------------------------- to cover a distance of 20 city blocks<span>

   X minutes------------------------------------------------one (1) city block</span>

 I apply a rule of three

<span> X=(1)*(30)/20=1.5  </span>

 Therefore

 the bus moved 1.5 minutes/block city

<span> </span>

7 0
3 years ago
Adozen of notebooks cost Rs 480. How Much will 7 note book cost? ​
Savatey [412]

Answer: Rs 280

A dozen = 12

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8 0
2 years ago
Read 2 more answers
The area of a rectangle with width x and length 6x and 6x^2. What does the coefficient 6 mean in terms of the problem?
sveta [45]

Answer:

The coefficient 6 in 6x means 6(x) or 6 multiplied by x 6 times.

Step-by-step explanation:

X could be anything, it is only holding the place of a number. The coefficient 6  before the x is a number being multiplied by the unknown variable, x. For example if x = 2 the expression would turn into 6(2) which equals 12.

Hope this helps! If you have any other questions please don't hesitate to ask me or your teacher so you can be sure to master the subject. :)

6 0
2 years ago
About Exercise 2.3.1: Proving conditional statements by contrapositive Prove each statement by contrapositive
Sladkaya [172]

Answer:

See proofs below

Step-by-step explanation:

A proof by counterpositive consists on assuming the negation of the conclusion and proving the negation of the hypothesis.

a) Assume that n is not odd. Then n is even, that is, n=2k for some integer k. Hence n²=4k²=2(2k²)=2t for some integer t=2k². Then n² is even, therefore n² is not odd. We have proved the counterpositive of this statement.

b) Assume that n is not even, then n is odd. Thus, n=2k+1 for some integer k. Now, n³=(2k+1)³=8k³+6k²+6k+1=2(4k³+3k²+3k)+1=2t+1 for the integer t=4k³+3k²+3k. Thus n³ is odd, that is, n³ is not even.

c) Suppose that n is not odd, that is, n is even. Now, n=2k for some integer k. Then 5n+3=10k+3=2(5k+1)+1, thus 5n+3 is odd, then 5n+3 is not even.

d) Suppose that n is not odd, then n is even. Now, n=2k for some integer k. Then n²-2n+7=4k²-4k+7=2(2k²-2k+3)+1. Hence n²-2n+7 is odd, that is, n²-2n+7 is not even.

e) Assume that -r is not irrational, then -r is rational. Since -1 is rational, then (-1)(-r)=r is rational. Thus r is not irrational.

f) Assume that 1/z is not irrational. Then 1/z is rational. Multiplucative inverses of rational numbers are rational, hence z is rational, that is, z is not irrational.

g) Suppose that z>y. We will prove that z³+zy²≤z²y+y³ is false, that is, we will prove that z³+zy²>z²y+y³. Multiply by the nonnegative number z² in the inequality z>y to get z³>z²y (here we assume z and y nonzero, in this case either z³>0=y³ is true or z³=0>y³ is true). On the other hand, multiply by z² (positive number) to get zy²>y³. Add both inequalities to obtain z³+zy²>z²y+y³ as required.

h) Suppose than n is even. Then n=2k, and n²=4k² is divisible by 4.

i) Assume that "z is irrational or y is irrational" is false. Then z is rational and y is rational. Rational numbers are closed under sum, then z+y is rational, that is, z+y is not irrational.

3 0
2 years ago
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