Answer:
Last option (bottom right)
Step-by-step explanation:
Rotate figure H 180° about the origin, then the figure will turn upside down and will be at quadrant 4, then translating it to 2 units right, you'll get figure K
Answered by GAUTHMATH
What you want to do is solve all of these so that it equals to 0 on one side. The ones that are a quadratic will have x^2
x^2 - 2x = 4x + 1
x^2 - 6x - 1 = 0
Yes this is a quadratic
x^3 - 6x^2 + 8 = 0
No this is not a quadratic because the highest power of x is to the power of 3
5x - 3 = 0
No it is not a quadratic because it does not have x^2
2x^2 + 12x = 0
Yes because there's x^2
5x - 1 = 3x + 8
2x - 9 = 0
No because no x^2
9x^2 + 6x - 3 = 0
Yes because there's x^2
Answer:
The son is 20 and a half years old.
The father is 36 and a half years old.
Step-by-step explanation:
We can solve this easily by turning it into an equation.
Let the mans age be y and the fathers age be x.
y+x=57
x=y+16
We can use the substitution method to solve for the first equation.
y+(y+16)=57
Now we only have one variable to solve for. Add like terms.
2y+16=57
Subtract 16 on both sides.
2y=41
Divide both sides by 2 to isolate y.
y=20.5
Now substitute 20.5 for y to solve for x.
20.5+x=57
Subtract 20.5 from both sides.
x=36.5
<em>The son is 20 and a half years old.</em>
<em>The father is 36 and a half years old.</em>
Hope this helps!
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
Answer:
-1 Not in domain
0 In domain
1 In domain
Step-by-step explanation:
The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;
-1 => less than zero; Not in domain
0 => equal to zero; <em> </em>In domain
1 => greater than zero: In domain