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son4ous [18]
3 years ago
8

Pamela's age is two times Jiri's age. The sum of their ages is 69 . What is Jiri's age?

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

The first thing we need to do is define our unknowns.

Jiri's age can be represented by x

Pamela's age can be represented by 2x


So,

2x+x = 69

3x = 69

x = 23

So, Jiri is 23, and Pamela is 46.

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PLEASE HELP
GREYUIT [131]

Answer:

After solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Step-by-step explanation:

We are given:

f(x) = 4x+3\\g(x)=-2x+5

We need to find (f.g)(5)

First we will multiply f and g to find (f.g) i.e

(f.g)(x)= f(x) \times g(x)\\(f.g)(x) = (4x + 3)(-2x + 5)\\(f.g)(x)=4x(-2x+5)+3(-2x+5)\\(f.g)(x)=-8x^2+20x-6x+15\\(f.g)(x)=-8x^2+14x+15\\

Now putting x=5

(f.g)(x)=-8x^2+14x+15\\Put \ x=5\\(f.g)(5)=-8(5)^2+14(5)+15\\(f.g)(5)=-8(25)+70+15\\(f.g)(5)=-200+70+15\\(f.g)(5)=-115

So, after solving we get (f.g)(5)=-115

But the correct option is not given in the question.

5 0
3 years ago
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3 years ago
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8 0
3 years ago
QUESTION 10
adelina 88 [10]

Answer:

Step-by-step explanation:

A = L * W

A = 22

L = 2x + 1

W = 3x + 1

now we sub

22 = (2x + 1)(3x + 1)

22 = 6x^2 + 2x + 3x + 1

22 = 6x^2 + 5x + 1

6x^2 + 5x + 1 - 22 = 0

6x^2 + 5x - 21 = 0 <======part A

(3x + 7)(2x - 3) = 0

3x + 7 = 0          2x - 3 = 0

3x = -7               2x = 3

x = -7/3              x = 3/2

I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure

length = 2x + 1.......2(3/2) + 1........3 + 1 = 4

width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===

6 0
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