<span><span>9 - 3 = 6, 15-9 = 6 the difference is 6, So d = 6
</span><span>
First term: a1 = 3
Sn = n*(a1 + an)/2
Sn = n*(a1 + a1 + (n-1)*d)/2
Sn = n*(2*a1 + (n-1)*d)/2
</span></span>
<span> <span>substitute 26 for n
</span>
S26 = 26*(2*a1 + (26-1)*d)/2 </span>
<span><span>substitute 3 for a1
</span><span>
S26 = 26*(2*3 + (26-1)*d)/2 </span></span>
<span><span>substitute 6 for d
</span><span>
S26 = 26*(2*3 + (26-1)*6)/2 </span><span>
</span><span>
S26 = 2,028</span></span><span><span>
</span><span>
</span></span>
<h2>
Answer: -30y + 12u + 18 </h2>
<h3>
Step-by-step explanation:</h3>
<em> by multiplying each term in the parentheses by the term outside</em>
-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)
= -30y + 12u + 18
Answer:
y = 26 when x = 2
Step-by-step explanation:
Y varies directly with X
y= kx
39 = 3k
k = 13
y = 13x
y(2)= 13(2) = 26
Answer:
m=2
Step-by-step explanation:
42=8m+13m
or,42=21m
or,42/21=m
or,m=2
This is the required answer for m.
To check,
42=8×2+13×2
42=16+26
42=42
Correct
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.
And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.
These relations between the solutions give us a brief idea of what the solutions should be like.