When a number is raised to a power it is multiplied by itself so the number gets larger. Because the answer is a fraction, this means the power is a negative value.
Find the number 5 has to be raised to be 125 and then make is negative:
5 x 5 x 5 =125
The answer would be a = -3
Answer:
y-intercept: (0, 12/5) or (0, 2.4)
x-intercept: (12/7, 0) or (1.714, 0)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.
7x + 5y=12
7*0 + 5y = 12
y = 12/5 = 2.4
y-intercept: (0, 12/5) or (0, 2.4)
The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.
7x + 5y=12
7x + 5*0 = 12
x = 12/7 = 1.714
x-intercept: (12/7, 0) or (1.714, 0)
Finally, the graph is shown below.
Recipe is for 24 pieces, and required quantity is 16.
So the ratio is 16/24 = 2/3 means we need to reduce all ingredients to 2/3 of the given quantities. Not all recipes can be reduced prorata, but we will assume it can be done. A word of caution: the measurement of quantities will become awkward (like 3/8 of a teaspoon of salt, etc). The practical way is to make the full recipe, and invite friends to take home the remainder.
Here's the scaled recipe
Butter 1cup*3/4 = 3/4 cup
unsweetened chocolate = 4*3/4 = 3 squares
white sugar = 2 * 3/4 = 1 1/2 cups
eggs = 4 * 3/4 = 3 eggs
A.P. flour = 1 cup * 3/4 = 3/4 cups
vanilla extract = 1 * 3/4 = 3/4 teaspoons
salt = 1/2 * 3/4 = 3/8 teaspoons
chopped walnuts = 2 * 3/4 = 1 1/2 cups
For this reason, there is a trend to use weights (in grams) than volumes to make scaling recipes easier.
Answer:
The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.
Step-by-step explanation:
It would be x=6 there’s the answer