Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
1). Simplifying
-4x + y = 6
Solving
-4x + y = 6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
-4x + y + -1y = 6 + -1y
Combine like terms: y + -1y = 0
-4x + 0 = 6 + -1y
-4x = 6 + -1y
Divide each side by '-4'.
x = -1.5 + 0.25y
Simplifying
x = -1.5 + 0.25y
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2). Simplifying
-5x + -1y = 21
Solving
-5x + -1y = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
-5x + -1y + y = 21 + y
Combine like terms: -1y + y = 0
-5x + 0 = 21 + y
-5x = 21 + y
Divide each side by '-5'.
x = -4.2 + -0.2y
Simplifying
x = -4.2 + -0.2y
3/10 because you divide things by 100 percent means out of 100
Let's assume
length of box is l
width of box is w
we know that
area of rectangle = length*width
...................(1)
now, we are given
fencing length is 20 foot
fencing length will be equal to perimeter
and we know that
so, we get
now, we can solve for l
now, we can plug that in first equation
now, we can solve for w
now, we can find length
or
so, option-B..................Answer
