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Bas_tet [7]
3 years ago
12

Find two consecutive integers whose sum is -47

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer: -24 e -23

Step-by-step explanation: Denoting the numbers by x and x + 1, and writing the equation and solving we get:

x + x + 1 = -47

2x + 1 = -47

2x = -47 - 1

2x = -48

x = - 48/2

x = -24

Therefore, the numbers are -24 and -23.

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F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What<br> is the value of g(f(2)) ?
elixir [45]
<h2>Answer:    g(f(2))  = 11</h2>

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

  ⇒ a(3²) - 12 = 24

       9 a  = 36

          a  = 4

∴ f(2) = (4)(2²) - 12

         =  4

 

⇒ g(f(2)) = 2(4) + 3

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6 0
2 years ago
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What is the quotient (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
11111nata11111 [884]

Answer:

  1. x^2 -2x +3
  2. x^2 +2x +3

Step-by-step explanation:

The quotient in each case can be found by any of several means, including synthetic division (possibly the easiest), polynomial long division, or graphing.

1. The graph shows you the quotient is (x-1)^2 +2 = x^2 -2x +3.

2. The graph shows you the quotient is (x+1)^2 +2 = x^2 +2x +3.

3 0
3 years ago
In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the people who live in houses, 20
Step2247 [10]
75%; so if we say there are 100 people in this city that means 60 of them live in houses and 40 of them live in apartments. Of the 60 living in houses 20% of them (12% of total population; 60 x .20) own their own business and those in apartments (40) 10% of them (4% of total pop.; 40 x .10) have their own business. In total 16 of the 100 people have businesses and 12 of those people live in houses so 12/16 equals .75. We multiply this by 100 to get the percent so there’s 75% that a person who owns a business in this city will also live in a house.
6 0
2 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h a
Arada [10]

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

7 0
3 years ago
SOMEONE HELP ME DO THESE 4 PROBLEMS FOR 50 points and BRAINLIEST.
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Answer:

Step-by-step explanation:

2. 24^2+7^2 = 625

V 625 = 25

3. 6^2 + 5^2 = 25 +36 = 61

V 61  =7.81024967 =7.8

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V 13 =3.60555127 =3.6

and done!

3 0
2 years ago
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