Answer: 16
Step-by-step explanation:
A quadratic function is a function of the form f(x) = ax2 +bx+c, where a, b, and c are constants and a = 0. The term ax2 is called the quadratic term (hence the name given to the function), the term bx is called the linear term, and the term c is called the constant term.
Therefore, the constant term in the equation is 16.
To form an equation with the given information, we use the formula :
y = mx + b, m being the slope and b being the y-intercept.
Since it is given that the slope is -9/7, we substitute m with -9/7.
y = -9/7x + b
To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4
4 = -9/7 (-7) + b
4 = 9 + b
b = 4 - 9
b = -5
Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :
y = - 9/7x - 5
To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0
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Answer : 7y + 9x + 5 = 0
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Answer:
Step-by-step explanation:
Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.
In this question, a favorable outcome is selecting a green dye. The total outcomes are all the dyes.
- Favorable outcomes (green dye): 14
- Total outcomes (all dyes): 20 blue+ 6 red+14 green=40
Reduce the fraction. Both the numerator and denominator can be divided by 2.
This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.
The probablity of selecting a green dye is <u>7/20 or 35%</u>
