Answer:
70.
Step-by-step explanation:
1) to calculate the values of the 'x':
4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔
x₁=7; x₂=10;
2) to calculate the required k:
k=x₁*x₂; k=7*10=70.
Answer:
a=43
Step-by-step explanation:
w+w+w= 45 which means 15+15+15=45
b+b+b=21 which means 7+7+7=21
s+s+s=12 which means 4+4+4=12
w+b×s= a which means 15+7×4= 43
(hope this helps)
Answer:
1) If 3 is an odd number, then 3 times 3 is an even number.
False because multiplying odd number by an odd number also gives an odd number.
2) If 6 is less than 7, then 4 is greater than 7.
False because 4 is smaller than 6. As 6 is smaller than 7 then 4 must also be smaller.
3) Six is divisible by 3, and 10 is a multiple of 2.
True. 6/3 = 2 and 2 x 5 = 10. Both the conditions are true so it is also true.
4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.
True.
We have two conditions in this statement and an 'or' between them. One of the conditions is true that is "average is less than the largest value in the data". So the statement as a whole is true.
5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
True.
6) If an equilateral triangle has equal angles, then all its angles will measure 45°.
False.
A triangle has 3 angles whose sum = 180 degrees.
For equilateral triangle each angle will measure 180/3= 60 degrees.
Answer:
= - 4n + 6
Step-by-step explanation:
There is a common difference between consecutive terms of the sequence
- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 4 , then
= 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6
Answer:
5
Step-by-step explanation:
I subtracted
