Answer:
10.9
Step-by-step explanation:
You can solve this using the Pythagorean theorem, a^2+b^2=c^2, since it will form a right triangle.
You aren't missing the hypotenuse (c), but one of the side lengths (b). But you still solve like a normal algebraic equation.
Plugging in your values, you should start with 5^2+b^2=12^2
Then square everything.
25+b^2=144
Take away 25 from both sides.
b^2= 119
Then square root both sides.
b= 10.9
Answer:
- The equation that represents this function is f(x)=x−7.
- The range of this function is increasing as the domain increases.
Step-by-step explanation:
The line has a slope (m) of 1 and a y-intercept (b) of -7. Thus the equation in slope-intercept form is
... y = mx + b
... y = x - 7
For a linear function such as this, the size of the domain is equal to the size of the range (because the slope is 1). Thus when one increases, so does the other.
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<em>Comments on the problem</em>
It appears the first answer choice is a result of mixing up slope and intercept in the equation of the line. A slope (x-coefficient) of -7 is a pretty steep line going downward from left to right. The graph does not have that characteristic.
It is a bit unusual to talk about domain and range increasing or decreasing. The domain is the region over which the function is defined, so is generally fixed. The range is the corresponding set of values of the function, fixed once the domain is determined. Here, since the function is linear, if one were to define it over a larger region, the range of values produced by the function would also get larger.
Answer:
3x+8
Step-by-step explanation:
suppose,
the number is x
three times a number;
3X
Increased by 8;
3x+8
Answer:
x2=24−4x
Step-by-step explanation:
The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:
Given that <span>Beth
is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.
Her monthly payment is given by:
Therefore, her monthly payment is about $611.50
</span>