Answer:
x = - 3
Step-by-step explanation:
note that y = f(x)
locate y = 3 on the y- axis, go horizontally across to meet f(x) at (- 3, 3 ) , then
x = - 3 when f(x) = 3
Answer:
a = 180° -73°
b = 73°
c = 180° -73°
Step-by-step explanation:
73° and b are vertical angles, so are congruent (equal).
a and c are equal to each other and each is a linear angle with 73°, so is the supplement of that angle. You could write the equation as ...
a + 73° = 180°
but I prefer to get to the heart of it. The values of a and c are the difference between 180° and 73°.
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
The number of batches Nathaniel can make is 16.5 batches.
Nathaniel plans to make use of less than 40 cups of flour and he has already used 6 cups of flour. In order to determine how many batches he can make, we have to determine the number of cups of flour he can use. The cups of flour would be divided by the amount of flour that can be used to make a batch of muffins.
Maximum amount of flour Nathaniel can use = 39 - 6 = 33
Number of batches he can make = 33 / 2 = 16.5 batches
To learn more about division, please check: brainly.com/question/194007
2<span>x<span><span></span></span></span>² <span><span><span> </span></span></span>+ 2x − 2<span>4
</span><span>GCF = 2
2(2x</span>²/2 + 2x/2 - 24/2)
<span>
2(x - 3)(x + 4)</span>
