Answer:
linear
Step-by-step explanation:
quadratic needs a squared variable, absoulute value is the lines next to the variable |x} and that means it goes both directions from 0
square root is just square root,
the linear function is y = mx + b and that matches the equation that is given
it has a y intercept of - 5, a slope of 3
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
When an exponent is outside the parentheses, you "distribute" it to the other exponents inside the parentheses.
(4^p)^3 would become 4^3p
(4^1)^3 would become 4^3
When the bases are the same, you just simply add the exponents.
Let's just ignore the bases so it'll look less confusing.
3p + 3 = 15
Subtract 3 from both sides.
3p = 12
Divide both sides by 3.
<em>p = 4</em>
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons