Answer:
1,680 grams
Step-by-step explanation:
To solve this, we can create a proportion using this setup:
grams/people=grams/people
The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.
480 grams/4 people=x grams/14
480/4=x/14
Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
She needs 1,680 grams of couscous for 14 people.
Answer:
C) x=35
Step-by-step explanation:
First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:
4x + 2(3x+5) = 360
By now using our linear equation skills, we get:
10x+10=360
10x=350
x=35
The degree amount of x for c) is 35 degrees.
Answer: b; y intercept between 8 and 4
Step-by-step explanation:
1. a; 2/3
2. b; 3, all real numbers except x=2
3. a; $.75
4. c; intercepting at (-3,-3)
5. b; 5
6. a; starts at 3
7. b; 1975
8. b; y intercept between 8 and 4
Answer: 1) Vertex: (6, -2) Focus: (6, -7/4) Directrix: y = -9/4
2) Vertex: (-2, -1) Focus: (-7/4, -1) Directrix: x = -9/4
<u>Step-by-step explanation:</u>
Rewrite the equation in vertex format y = a(x - h)² + k or x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.
- (h, k) is the vertex
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix

1) y = x² - 12x + 34


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2) x = y² + 2y - 1


Yes, the table represents a function.
None of the independent (x) values are repeated and each one has a corresponding (y) value.
If you had a repeated (x) value in the table, it would not represent a function.