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morpeh [17]
3 years ago
15

Find two consecutive numbers whose squares differ by 45

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

(x+1)^2 - x^2 = 45

x^2+1+2x - x^2 = 45

2x + 1 = 45

2x= 44

x = 22

the other number is x+1 = 22+1 = 23

therefore, the two consecutive numbers are 22 and 23

Hope it helped u....

You might be interested in
Find the GCF of 4y and 12y
Marianna [84]

Answer:

4y

Step-by-step explanation:

To find the greatest common factor of 2 numbers, factor both of the numbers:

4: 1, 2, 4

12: 1, 2, 3, 4, 6, 12

The greatest factor here in both of these lists is 4. These numbers also both have a factor of y, so you multiply those together and get 4y.

4\times y=4y

5 0
2 years ago
9. Stan’s Deli is situated inside a large industrial park. The weekday gross sales at Stan’s average $1,240, with a standard dev
mr Goodwill [35]

Answer:

0.9792

Step-by-step explanation:

Data provided in the question:

Average gross sales = $1,240

Standard deviation = $180

sample size = 40

Now,

standard deviation of sample average

= \frac{\textup{Standard deviation}}{\sqrt{n}}

= \frac{180}{\sqrt{40}}

= 28.46

Now,

z value for 1200 = \frac{(1200-1240)}{28.46} = -1.4,

and,

p value for (z = -1.4) = 0.0808

therefore,

P(average < $1200) = 0.0808

Thus,

probability that the average over the next 40 weekdays will exceed $1,200

= 1 - 0.808

= 0.9792

7 0
3 years ago
I need help with all of them and if you can't help with all of them just answer one of them please. Look at the picture
likoan [24]
All you have to do is substitute the y value from the 1st equation into the second equation and solve...

a) y= 2-x
5x + 4y = 5

Substitute (2-x) into the second equation anywhere there is a y...

5x + 4y = 5
5x + 4(2-x) = 5

Now solve

5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3

Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...

y = 2 - x
y = 2 - (-3)
y = 2+3 = 5

You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).

Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...

y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5

True statement... it checks!


note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
5 0
3 years ago
The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?
Archy [21]
Comparing x-1 with x-a then x=1
1^3+p*1^2-1-2=0
1+2p-3=0
2p=3-1
P=2/2
P=1
:.p=1
5 0
2 years ago
Given 2x - 4y = 24, the x-intercept is 12 and the y-intercept is -6.
Masteriza [31]

Answer:

False

Step-by-step explanation:

1. Plug in the numbers

2(x)-4(y)=24 -> 2(12)-4(-6)=24

2. Solve

2x12=24 & -4x(-6)=24

24-24=0

0≠24

3 0
3 years ago
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