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Deffense [45]
3 years ago
12

Solve the following equations : 2(x -1) + 3(x +1)=4(x+4)

Mathematics
1 answer:
madreJ [45]3 years ago
3 0
This is how I'd work it:

2(x-1)+3(x+1)=4(x+4)
     2x-2+3x+3=4x+16
              5x+1=4x+16
                    <u>x=15</u>

To check, substitute x into the original equation and solve: 

2(15-1)+3(15+1)=4(15+4)
                28+48=76
                      76=76 
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Write the standard equation for the circle center (-6,8) that passes through (0,0)
Reil [10]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = \sqrt{(0+6)^2+(0+8)^2} = \sqrt{36+64} = \sqrt{100} = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

4 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
drek231 [11]

Answer:

Step-by-step explanation:

Just plug in 20 for t:

f(20)=\frac{60*20}{20^2+46}=\frac{1200}{400+46}=\frac{1200}{446}=2.69058

8 0
3 years ago
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If kenny earns 142% of Benny's Salary, how mucho more does Kenny earn than Benny
Sergeeva-Olga [200]

Let  Benny's salary = $ K

But kenny earns 142% of Benny's Salary

So, Kenny's salary = 142%of K

Kenny's salary =K  \times \frac{142}{100}

Kenny's salary = 1.42K

Kenny's income exceeds Benny's by =1.42K - K =$0.42 K

% by which Kenny's salary exceeds by Benny's =\frac{0.42 \text K}{\text K} \times 100

% by which Kenny's salary exceeds by Benny's = 42%


8 0
3 years ago
Identify the variation as direct inverse joint or combined. The cost of the number of the same articles purchased varying with t
olasank [31]
This is a direct variation, since the cost and the number of articles purchases both go up.
8 0
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soldier1979 [14.2K]

Answer:

-7

Step-by-step explanation:

first you plug in f(3) in the x so -2(3)= -6

then -6 - 1 = -7

6 0
2 years ago
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