Answer:
the polynomial cannot be factored
Step-by-step explanation:
The ratios of coefficients are 4:3 in the first and second pairs of terms, but the similarity ends there. The second pair of terms has no common factor but 2, and factoring that out leaves nothing in common with the rest of the expression:
= 3x^2(4x -3) +2(4x -3by)
If by=1, this would factor nicely as (3x^2 +2)(4x -3), but that is not the case. The "by" term effectively makes the expression unfactorable.
The expression cannot be factored.
Answer:
About $1.82
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Part A: The higher the temperature in the city, the number of lemonades sold increases.
Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y^2-Y^1/X^2-X^1.
The equation(rounded) would be y=0.28x-5.65
-hope it helps
Answer:
lateral surface area of the triangular prism = 128 cm²
Step-by-step explanation:
The question is incomplete the picture below represents the complete question.
Lateral surface area of a triangular prism = PH
where
p = perimeter of the triangle
H = height of the prism
perimeter = 5 + 5 + 6 = 16 cm
height of the prism = 8 cm
Lateral surface area of a triangular prism = Perimeter of the triangle × height of the prism
lateral surface area of the triangular prism = 16 × 8
lateral surface area of the triangular prism = 128 cm²
Passes through (3, 0) and is perpendicular to 2x - y = 5
Turn our given equation into y=mx+b form.
2x - y = 5
Subtract 2x from both sides.
-y = -2x + 5
Divide both sides by -1.
y = 2x - 5
So, our slope is 2.
However, because our equation is perpendicular, we must find the negative reciprocal of 2.
Slope₁ = 2
Slope₂ = -1/2
y - y₁ = m(x - x₁) (3, 0)
Plug everything in.
y - 0 = -1/2(x - 3)
y = -1/2x + 3
~Hope I helped!~