Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
mass of mangos = 300g
mass of apples = 200g
mass of pears = 150g
Step-by-step explanation:
lets first reduce the ratio
12:8:6
is the same as
6:4:3
this means the the denominator of our fractions will be 6 + 4 + 3 = 13
hence
mangos = 6/13 of 650g
6/13 * 650 = 300
apples = 4/13 of 650g
4/13 * 650 = 200
pears = 3/13 of 650g
3/13 * 650 = 150
Answer:
10
Step-by-step explanation:
the two triangles formed from c are similar which means the sides are proportional
the proportion of one length of a side of a triangle to a similar side of the other triangle is the same as another side to its corresponding side of the other triangle. god im bad explaining stuff
anyway 2 is to 8 what 2.5 is to length BC. 2/8 = 2.5/x
-crossmultiplyyy
2*x = 2.5*8
2x = 20
2x/2 = 20/2
x = 10
All our answers lie in the above statement.
Confidence Level:
The creator claims that 9 out 10 students will have the average score in the said range. Or in other words we can say that the creator is 90% confident about the result of the field test. So the confidence level is 90%.
Margin of Error:
The average score lies within 4% of 70%. This means the margin of error is 4% i.e. the average scores can deviate from 70% by 4% .
Confidence Interval:
Lower Limit = 70% - 4% = 66%
Upper Limit = 70% + 4% = 74%
Interpretation:
The exam creator is 90% confident that the average scores of seniors will be between 66% and 74%.
Answer:
161 cm
Step-by-step explanation:
Since 115 cm is 5 boxes, we take 115 and divide it by 5. This will get us the cm of 1 box. 115/5=23
Now we take 23 and multiply it by 7 to get the final height. 23x7=161
