Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
Step-by-step explanation:
6n < -12
6n/6 <-12/6 divide six on both sides
n < -2
150g/12cakes
150/12 = 12.5
12.5g/cake
12.5x30 = 375
Therefore, you need 375g for 30 cakes.
Answer: 
Step-by-step explanation:
You need to convert from mixed number to decimal number.
In order to do this, you can follow the steps shown below:
1. You must divide the numerator of the fraction by the denominator of the fraction.
2. Now you must add the quotient obtained to the Whole number part.
Then, you get:
Then, the scale image that maps "Figure A" onto "Figure B" is:
Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by 
.
Therefore, the result is:
Answer:
Y=7
Step-by-step explanation:
(3y+5)= -4 -8y +9 + 77
-5 -5
3y= -9 - 8y + 9 + 77
+9 -9
3y= -8y + 77
+8y +8y
11y = 77
11y/11 77/11
y = 7
1. subtract 5 from both sides
2. add -9 and +9 and you get 0
3. add 8y to both sides
4. divide both sides by 11
5. you get y=7
