Answer:
see explanation
Step-by-step explanation:
Using cross- products, that is
= 
then ad = bc
Given the ratios
and 
Then equating and using cross- products
If both sides equate then the ratios are equivalent
= , then
4 × 21 = 6 × 14 ⇒ 84 = 84
Both sides are equal thus the ratios are equivalent
Number of students who secured first class in English only is 20
Step-by-step explanation:
- Step 1: Find the number of students who secured first class in English only.
Total number of students who secured first class in English or Maths, T = 80
Number of students who secured first class in Maths, M = 50
Number of students who secured first class in both English and Maths, EM = 10
⇒ Let the number of students who secured first class in English only be x.
Total students with first class, T = M + EM + x
⇒ 80 = 50 + 10 + x
⇒ 80 = 60 + x
∴ x = 80 - 60 = 20
Answer:
g(x) = |x| -9
Step-by-step explanation:
In the form ...
g(x) = a|x -h| +k
the parameters are ...
- a: the vertical scale factor (1)
- h: the right shift of the vertex (0)
- k: the upward shift of the vertex (-9)
The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).
Then the translated function is ...
g(x) = |x| -9
Answer:
9,600,000,000 F (y)=5000
Step-by-step explanation:
hope for help po
He must get a 65 as a minimum grade on his third test to get an average of 70.
Equation is
85 + 60 + x
------------------- greater than or equal to 70
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