Answer:
The correct option is First. i.e <u>consistent.</u>
The System shown is <u>consistent.</u>
Step-by-step explanation:
Consistent:
A consistent system of equations is a system that has at least one solution.
Our System in graph has only and only ONE solution that is on X-axis
Where the lines are intersecting each other.
Hence, The System shown is <u>consistent.</u>
Inconsistent:
An inconsistent system of equations is a system that has no solution.
Equivalent:
Systems of equations that have the same solution are called equivalent systems. Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
If the roll is 13 inches long and Madison is cutting the dough into 1/2 inch thick slices, then she will have 26 cookies. Cross multiply 1/2 and 13/1.
The exponential model is the most appropriate model for the given data.
<h3>How to determine the appropriate model?</h3>
The table of values is given as:
x 0 1 2 3 4 5
y 4 8 15.9 32 65.2 128
From the above table, we have the following highlights:
- The value of x increases by 1
- The value of y doubles by (approximately) 2
The above highlights is similar to an exponential model, because an exponential model has a constant multiplicative rate
Hence, the appropriate model is the exponential model
Read more about exponential models at:
brainly.com/question/11464095
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X + 0.07x = 45; x = $42.06
if x is the basic price we must add 7% to this. As a fraction 7% is 7/100. As a decimal number this is 0.07, so the total to be paid is x + 0.07x (which can also be written as 1.07x). This must equal $45, so 1.07x = 45; divide both sides by 1.07 to get:
$42.06 to the nearest penny.
Hope this helps!
Graph-A and graph-D could both accurately show the radioactivity of the sample as the weeks go by. The only difference is that 'A' had 20 units of radioactivity when the time began and 'D' had 40 units. But on both of them, any point on the graph is 1/2 the value of what it was a week earlier ... which is exactly what you expect.
The equation under graph-A is the correct equation of that graph. We don't know anything about the equation under graph-D, because it sank below the bottom of the picture and we can't see it.
The equation of graph-D is
R = 40 (1/2)^x .
If that's not what it says under graph-D, then D is wrong, and only A is a correct answer.
