Answer:
8 and 14
Step-by-step explanation:
let the 2 numbers be x and y with x > y
We can model the situation using the following 2 equations
x + y = 22 → (1)
3x - y = 34 → (2)
adding the equations term by term will eliminate the term in y
(x + 3x) + (y - y) = (22 + 34)
4x = 56 ( divide both sides by 4 )
x = 14
substitute x = 14 into (1)
14 + y = 22 ⇒ y = 22 - 14 = 8
(y+5)(y+6+5) = 187
y2+16y+55 = 187
y2 +16y - 132 =0
y = 6 or -22(rejected)
so 6 years old
7436 ÷ 13 = 572
I didn't understand the rest of the thing u mentioned
Answer:
Step-by-step explanation:
<u>Standard form of quadratic function:</u>
<u>Vertex form:</u>
<u>Convert the given function by completing a square:</u>
y = x² - 8x - 3 =
x² - 2*4*x + 4² - 4² - 3 =
(x - 4)² - 19
Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done