Answer:
y = 66x + 340
Step-by-step explanation:
The question asks to give the slope-intercept equation of a line with the slope given and it passes through a given line.
Generally, the equation of a line is given by:
y = mx + c, where m is the slope and c is the intercept. We have the slope given but we do not have the intercept. Hence, the first thing we do is to find the value of the intercept. We calculate that as follows:
since the line passes through a point, we substitute the values of the ordinate and the abscissa in the general equation of the line.
This means; 10 = 66(-5) + C
C = 10 + 330 = 340
Hence, the general equation of the line is;
y = 66x + 340
Answer:
She can buy no more than 22 decorations
Step-by-step explanation:
The costs for the party are food and decorations
Cost = food + decorations * costs per decoration
We can spend no more than 300
Food is 75
Decorations are 10 each
Let d= the number of decorations
300 >= 75 + 10 * d
Subtract 75 from each side
300-75 >= 75-75 + 10 * d
225 >= 10d
Divide each side by 10
225/10 >=10d/10
22.5 >=d
She can buy no more than 22 decorations
Answer:
5n - 7 < 23
Step-by-step explanation:
You can see that the function is graphed for every number x that is greater than or equal to zero.
So we write that the domain is
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