Answer:
A. Correct choice is C
B. Correct choice is B
Step-by-step explanation:
4 times the number x is 4x.
The sum of 4 times the number x and 26 is 4x+26.
The sum of 4 times the number x and 26 is 130, then
4x+26=130.
Correct option is option C.
Solve this equation:
4x=130-26,
4x=104,
x=26.
Answer:
a.6.66
b.384
c.860
d.166
Step-by-step explanation:
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
Step-by-step explanation:
Consider the given equation
Factor form of a parabola: It displays the x-intercepts.
.... (1)
where, a is a constant and, p and q are x-intercepts.
So, we need to find the factored form of the given equation.
Splinting the middle term we get
.... (2)
On comparing (1) and (2) we get
It means x-intercepts of the given parabola are 4 and 2.
Therefore, equivalent forms of the equation is y=(x-4)(x-2).
<span>The equation that can be used is 90-10y=5x. In order to get this answer, you first start with figuring out how many miles total were hiked for each trail. The 5-mile mountain trail total would be equal to 5x and the 10-mile canal trail total would be 10y. Adding both of these totals together would give you 90 miles and an equation of 5x+10y=90. All you do now is rearrange the equation by subtracting 10y from each side and you get 90-10y=5x.</span>
