Answer:
there is no way to solve it
Step-by-step explanation:
i think you may have missed part of the question
Answer:
A
Step-by-step explanation:
f(x) - g(x) = 3x-2 - (2x + 1) Remove the brackets
f(x) - g(x) = 3x - 2 - 2x -1 Combine terms.
f(x) - g(x) = x - 3
The answer is A
Answer:
54 teachers
Step-by-step explanation:
Step one:
given data
The ratio of teachers to students on a field trip to New York City is 2 to 9.
That is the ratio is 2:9
We are told that there are 243 students
Required
We want to find the number of teachers
Step two:
Applying the part to part method we have
let the number of teachers be x
2/9= x/243
cross multiply we have
9x= 243*2
9x= 486
divide both sides by 9
x= 54
Hence there are 54 teachers
Answer:
centre = (- 3, - 2) , radius = 1
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
Given
x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
Answer:
$350,000
Step-by-step explanation:
Let's define:
- s: amount of short-range missiles produced
- m: amount of medium-range missiles produced
- l: amount of long-range missiles produced
From the total production and the ratios we can write the following equations:
s + m + l = 3000
s/m = 3/3 = 1 = m/s
s/l = 3/4 or l/s = 4/3
Dividing the first equation by s, we get:
s/s + m/s + l/s = 3000/s
1 + 1 + 4/3 = 3000/s
10/3 = 3000/s
s = 3000*3/10 = 900
m = 900
l = 4/3*900 = 1200
From the money that the countries plans to use and each missile cost, we can write the following equation:
200,000*s + 300,000*m + cost*l = 870,000,000
Replacing with previous result:
200,000*900 + 300,000*900 + cost*1200 = 870,000,000
cost = (870,000,000 - 200,000*900 - 300,000*900)/1200 = 350,000
