Answer:
2^10 = 1024
Step-by-step explanation:
The test most likely can be answered in two different ways. the different ways that 10 questions can be answered will be:
2^10 = 1024
Answer:
x=-2 and y=2
Step-by-step explanation:
Do simultaneous equations
-8x + 4y = 24 <em>(multiply everything in the equation by -7)</em>
-7x + 7y = 28 <em>(multiply everything in the equation by 8)</em>
56x - 28y = -168
-56x + 56y = 224
<em>(add equations, ie add 'x' parts, 'y' parts, and numerical parts)</em>
<em> </em>28y = 56
∴y = 2
-8x + 4y = 24
-8x + 4(2) = 24
-8x = 16
∴x=-2
Lemme know if you have questions :D
Answer:
40
Step-by-step explanation:
82 + 58 + ? = 180
140 + ? = 180
? = 40
Have an amazing day!
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The charge for a 1-mile ride is $2.20
constant-$2.00
changeable-$0.20 per mile
2+0.20=2.20
Answer:
Axis of symmetry:

Vertex:

Step-by-step explanation:
The given quadratic equation is

By comparing to the general quadratic function;

We have a=4,b=5,c=-1
The equation of the axis of symmetry is given by the formula;

We got this formula by completing the square on the general quadratic function.
We substitute a=4 and b=5 to obtain;


is the axis of symmetry.
To find the y-value of the vertex, we put

into the function to obtain;



The vertex of the given function is