1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
3 years ago
11

The product of two positive consecutive numbers is 42. What is the smaller number?

Mathematics
1 answer:
Temka [501]3 years ago
8 0
X = first integer, y = second integer (right after x)

since y is right after x, we can say
y = x+1

If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6

The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6

If x = 6, then
y = x+1
y = 6+1
y = 7

The two consecutive numbers are 6 and 7

The final answer is 6

Sure enough, 6*7 = 42 checks out
You might be interested in
On the Sharks dive team, there are 3 divers in third grade. There are 8 total divers on the team.
o-na [289]
3/8 or three-eights of five team
5 0
2 years ago
Simplify.<br> Х+4/3x^2+7x - 20
pickupchik [31]

Answer:4/3x²+8x−20

Step-by-step explanation:Combine Like Terms:

=x+

4

3

x2+7x+−20

=(

4

3

x2)+(x+7x)+(−20)

=

4

3

x2+8x+−20

8 0
3 years ago
What is the slope given: (5,2)&amp;(9,-6)
Paul [167]

Answer:

The slope is -2

Step-by-step explanation:

To find the slope we do y2 - y1 / x2 - x1  or in this case, -6 - 2 / 9 - 5

Next, u solve -6 - 2 = -8 and 9 - 5 = 4

So we get -8/4 or simplified -2/1 or -2

The slope is -2

Hope that helps u! :)

8 0
3 years ago
Product of (y^3 - 125) ÷ (y - 5)
Ludmilka [50]

Answer:

y^{2}+5y+25

Step-by-step explanation:

8 0
3 years ago
The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experi- mental conditio
zzz [600]

Answer:

see explaination

Step-by-step explanation:

Data : 32.1 , 30.6 , 31.4 , 30.4 , 31.0 , 31.9

Mean X-bar = 31.23

SD = 0.689

a)

Null Hypothesis : Xbar = mu

Alternate Hypothesis : Xbar > mu

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 30 ) /(0.689/sqrt(6))

= 4.372

P-value = ~0

Since P-vale < 0.01 , we will reject null hypothesis.

The data suggest that true average stopping ditance exceeds the maximum.

b)

i) SD = 0.65

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.65/sqrt(6))

= 0.867

P-value = 0.3859 Answer

ii) SD = 0.65

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.65/sqrt(6))

= -2.9

P-value = 0.0037 Answer

c)

i) SD = 0.8

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.8/sqrt(6))

= 0.704

P-value = 0.4814 Answer

ii) SD = 0.8

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.8/sqrt(6))

= -2.357

P-value = 0.0184 Answer

The probabilities obtained in part c are comparatively higher than that of part b.

d)

i) For alpha =0.01

z = (Xbar - mu) / (SD/sqrt(n))

=> -2.32 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-2.32

=> sqrt(n) = (0.65*(-2.32)) / (31.23 - 31)

=> n = 43 Answer

ii) For beta =0.10

z = (Xbar - mu) / (SD/sqrt(n))

=> -1.28 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-1.28

=> sqrt(n) = (0.65*(-1.28)) / (31.23 - 31)

=> n = 13 Answer

4 0
2 years ago
Other questions:
  • each day, Mr. Samms randomly chooses 2 students from his class to serve as helpers. There are 15 boys and 10 girls in the class.
    14·1 answer
  • Can you explain how to get the answer for: <br> 4 6/7 +7 3/14=
    8·1 answer
  • A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available
    7·1 answer
  • X +4=3.5=28<br> Need help
    5·1 answer
  • PLEASE HURRY!!! 30 POINTS, WILL GIVE BRAINLIEST
    7·2 answers
  • ILL GIVE BRAINLEST, please no links and explain please:)
    11·1 answer
  • HELP PLEASE!!!! WILL GIVE 100 POINTS
    5·2 answers
  • Why are that im in 7th grade and still cant find some answers to work with.
    8·1 answer
  • An investor invested a total of $58000 into two bonds. One bond paid 3% simple interest, and the other paid 2% interest. The inv
    8·1 answer
  • Which of these ratios are equivalent ratio<br> 1:4 2:8 3:6 7:28
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!