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Triss [41]
2 years ago
12

The product of two consecutive integers is 56. Find the integers

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0
7•8 = 56

Hope this helps!!
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Identify all factors of the expression 12x^2-14x-6
Evgen [1.6K]

Let's solve this by using the quadratic formula:

\frac{-b+-\sqrt{b^2-4ac} }{2a}


Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

\frac{ -  ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}

And so by evaluating those values we obtain:

\frac{14+-\sqrt{484} }{24}=\frac{14+-22}{24}  \\\\

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}


Second Factor:

\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}


And so your factors are

\frac{3}{2},-\frac{1}{3}

meaning that those are your roots/x-intercepts.


6 0
3 years ago
X + 2y = 5<br>3x + 5y = 14<br>Solve the system of equations.<br>(3.1)<br>(7.-1)<br>(2.3/2)​
son4ous [18]

Answer:

(3,1) because x is 3 and y is 1.

Step-by-step explanation:

x+2y=5

3x+5y=14

Multiply first equation by 3:

3x+6y=15

3x+5y=14

Subtract 3x:

1y=1

Therefore, y = 1

Plug it back into 1st equation:

x+2(1)=5

x+2=5

Therefore, x = 3

Judging from your answers, it looks like (3,1) because x is 3 and y is 1.

I hope this helped!

5 0
2 years ago
A researcher asks random samples of residents of two separate counties as to whether they had purchased organically grown food i
Leni [432]

Answer:

2 proportions z test

The two populations are named as residents from the first county and residents from the second county.

Step-by-step explanation:

This is testing hypothesis about the difference between two proportions.

When the proportions are tested if they are the test statistic

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂

where p^1 is the proportion of success in the first sample and   p^2 of size n₁   is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.

When the sample sizes are sufficiently large

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.

The two populations are named as residents from the first county and residents from the second county.

7 0
2 years ago
There are 52 weeks in a year. The plant runs for 12 months. How many weeks let when 52 weeks are divided by 12 months?​
xxMikexx [17]

Step-by-step explanation:

in one month , it runs for 52/12 weeks

that is 4 weeks

3 0
2 years ago
2/(x-3)+3/(x+2)-(4x-7)/(x^2-x-6)
tigry1 [53]

Answer:

The answer is 1/x-3

Step-by-step explanation:

2/x−3+3/x+2−(4x−7/x2−x−6)

=x+2/x²−x−6

=x+2/(x+2)(x−3)

=1/x−3

7 0
3 years ago
Read 2 more answers
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