Answer:
3
Step-by-step explanation:
We know x = -2, so we can substitute -2 in for x
3x^2- 9
3*-2^2-9
Solve the exponent first (PEMDAS)
3*4-9
Multiply next
12-9
Subtract
3
Answer:
y - 7 = 16/13(x - 7)
General Formulas and Concepts:
<u>Alg I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-6, -9)
Point (7, 7)
<u>Step 2: Find slope </u><u><em>m</em></u>
- Substitute:

- Add:

<u>Step 3: Write equation</u>
y - 7 = 16/13(x - 7)
Answer:
The price of the projector is $1,180.
Step-by-step explanation:
295 × 4 = 1,180
Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:

Then the total amount of pure fruit juice in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:



+

--------------------------------------



We substitute the value of A into one of the two equations and solve for B.


With A and its image one can get the dilation factor;
That is dilation scale factor = -6/-4 or 9/6 = 3/2
Therefore, to get the image of B we multiply the coordinates of B by the dilation factor;
(1,4) 3/2 = (1.5, 6)
Thus the image of B = (1.5,6)