The distance formula is d=\sqrt{(x_{2}, x_{1})^{2} +(y_{2}, y_{1})^2
7=x1
4=y2
-8=x2
4=y2
Just plug in the missing values into the equation and solve the equation :)
The number rule for this sequence is that each time the number goes up,
it does so by whatever the previous amount added was, multiplied by two.
So far we can see the sequence is +50, +25-, +500, +1000, so we assume
that next it will be +2000 and the next number in the sequence will
therefore be 22,000
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Answer:
<h2><u><em>
1/3</em></u></h2>
Step-by-step explanation:
Determine which fraction is larger: 2/7 or 1/3
Fraction = Division
2/7 = 0,2857142857142857
1/3 = 0,3333333333333333
Answer:
y = $38.97
y = 6.495(5) + 6.495
Step-by-step explanation:
So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.
1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).
(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m
y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b
12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b
so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost
y = 6.495(5) + 6.495
y = $38.97
Answer:
-5 ; 1/2
Step-by-step explanation:
<u>GIVEN :-</u>
- A quadratic polynomial f(x) = 2x² + 9x - 5
<u>TO FIND :-</u>
- Zeroes of f(x) = 2x² + 9x - 5
<u>GENERAL CONCEPTS TO BE USED IN THIS QUESTION :-</u>
Lets say there's a quadratic polynomial f(x) = ax² + bx + c , whose factors are (x - α) & (x - β). To find the values of x for which f(x) will be zero , equate the factors of f(x) with 0.
⇒ (x - α) = 0 & (x - β) = 0
⇒ x = α & x = β
Hence, it can be concluded that if (x - α) & (x - β) are factors of f(x) , then α & β are the roots of f(x).
<u>SOLUTION :-</u>
Factorise f(x) = 2x² + 9x - 5.
- Take '2x' common from first two terms & '-1' from last two terms.
- Take (x + 5) common from the whole expression.
So , the factors of f(x) are (x + 5) & (2x - 1). Now equate the factors with zero.
⇒ (x + 5) = 0 & (2x - 1) = 0
⇒ x = -5 & x = 1/2
∴ The zeroes of f(x) = 2x² + 9x - 5 are (-5) & (1/2)
<u>VERIFICATION :-</u>
1) Put x = -5 in f(x) = 2x² + 9x - 5
⇒ f(-5) = 2(-5)² + 9×(-5) - 5
= 50 - 45 - 5
= 50 - 50
= 0
2) Put x = 1/2 in f(x) = 2x² + 9x - 5