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Lera25 [3.4K]
3 years ago
11

The sum of the squares of two consecutive negative integers is 61. Find the smaller of the two integers

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0
x^2+(x+1)^2=61\\ x^2+x^2+2x+1-61=0\\ 2x^2+2x-60=0\ \ /:2\\ x^2+x-30=0\\ \Delta=1^2-4\cdot(-40)=1+120=121\ \ \Rightarrow\ \  \sqrt{\Delta} =11\\ \\ x_1= \frac{-1-11}{2} = \frac{-12}{2} =-6,\ \ \ \ x_2= \frac{-1+11}{2} = \frac{10}{2}=5\\ \\Ans.:x=-6
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Si un kilogramo de arroz cuesta 24.50,cuanto se pagara por 0.75 kg y 4 kg?
klemol [59]

Answer:

0,75kg : 18,38

4kg : 98

Step-by-step explanation:

1) 0,75 x 24,50 = 18,38

2) 4 x 24,50 = 98

Just fix the unit at the end. :)

7 0
2 years ago
The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture fra
Tomtit [17]

Answer:

  • P = 2.5x

Step-by-step explanation:

Let the length is x, then the width is 1/4x.

<u>Find the perimeter of rectangle:</u>

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7 0
2 years ago
Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 45 packages in the small tray produ
user100 [1]

Answer:

There is sufficient statistical evidence to suggest that the average weight of the ground beef packaged in small trays is 1 pound

Step-by-step explanation:

Here we have to perform a t-test

Mean = Sample mean = 1.04 lb

μ = Population mean = 1 lb

s = Standard deviation of 0.19

n = Sample size = 45

Null hypothesis H₀ = 1

Alternative hypothesis Hₐ > 1

Therefore from

t=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}} we have

t = 1.412

Critical t at 5% confidence level  = 1.68

at 5 % confidence level we obtain the probability P is;

P = 0.0825 > 0.05 Therefore we accept our null hypothesis that the average weight of ground beef per pack is 1 pound.

4 0
2 years ago
the table shows the number of boarders on Saturday 12 and Sunday 8. the numbers decreased from Saturday to sunday. What is the p
Vladimir [108]

Answer:

Step-by-step explanation:

= (12-8)/12 × 100%

= 4/12 × 100%

= 100/3%

= 33.33%

5 0
3 years ago
Find the quotient and simplify​
shutvik [7]

Answer:

\large\boxed{\dfrac{9}{s^2-5s}}

Step-by-step explanation:

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7 0
3 years ago
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