If one gallon is the same amount as 16 cups, how many cups equal 2.5 gallons? (Only input whole numbers.)
Answers
Answer:
40
Step-by-step explanation:
Hello, I think I can help you with this
you can solve this easily using a simple rule of three
Step one
define the relation and solve for x
if
1 gallon ⇒16 cups
2.5 gallons⇒x cups?
so, 2.5 gallons is the same amount as 40 cups
I hope it helps, Have a fantastic day.
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A cereal company used to fill the boxes with 16 ounces of cereal. They have reduced that amount to 14 ounces. The percent decrease is 87.5%. True or false
Answers
if width times length equals the area, then...
W x (3+W)=40
Length = 8
Width = 5
I started by factorising 40:
2, 2, 2, 5.
Then you just find a way to arrange those numbers that works
width=x
length=x+3
we can suggest this equation:
x(x+3)=40
x²+3x=40
x²+3x-40=0
we solve this square equation:
x=[-3⁺₋√(9+160)] / 2
x=(-3⁺₋13)/2
we have two solutions:
x₁=(-3-13)/2=-8 this solution isn´t valid.
x₂=(-3+13)/2=5
lenght=x+3=5+3=8
Answer: the lenght, in inches, of the rectangle is 8 .
(2) 8
Answers
2x^2-4x-3x+6
(2x^2-4x)+(-3x+6)
undistribute
(2x)(x-2)+(-3)(x-2)
undistribute
(2x-3)(x-2)
the factored form of 2x² - 7x + 6 is (2x - 3)(x - 2).
To find the factored form of the quadratic expression 2x² - 7x + 6, we can look for two binomials that, when multiplied, give us the original expression.
First, we need to determine two numbers that multiply to give 12 (the product of the leading coefficient, 2, and the constant term, 6) and add up to -7 (the coefficient of the linear term, -7).
The numbers -4 and -3 fit these conditions.
Now, we can express the quadratic expression in factored form:
2x² - 7x + 6 = (2x - 3)(x - 2)
Therefore, the factored form of 2x² - 7x + 6 is (2x - 3)(x - 2).
Learn more about factor here
#SPJ6
Answers
a) VERTEX
We need to find out where the parabola opens. You can predict the equation by tabulating any values of x and f(x). The table is shown:
x f(x)
_____
0 -7
1 -2
2 1
3 2
4 1
5 -3
As you plot it, the parabola opens downward. The vertex is (3,2) because that is the maximum point. The rest of the values are lesser than 2.
However, there is an easier technique to find the opening parabola and vertex rather than you plot it.
b) AXIS OF SYMMETRY
The axis of symmetry is a line that divides the parabola into two congruent halves. There is a formula for the axis of symmetry which is x = -b/2a.
Note: That is only applied if the parabola opens upward or downward and their axis of symmetry is a vertical line.
To get a and b, arrange the given equation first.
f(x) = -(x - 3)^2 + 2
= -(x^2 - 6x + 9) + 2
= -x^2 + 6x - 7 + 2
= -x^2 + 6x -5
The general form of the quadratic equation is ax^2 + bx + c. Setting a = -1, b = 6, c = -5, the axis of symmetry is
x = -6/(2*-1) = 3.
But anyway, you find it out the table above. We know that the coordinate of the vertex is (3,2). For instance, that is x = 3.
c) MAXIMUM or MINIMUM
Remember that the maximum refers to a vertex where the parabola opening downward. Otherwise, it is a minimum if the parabola opens upward. The maximum or minimum must have a certain value.
We know the answer will be a maximum. Since the axis is symmetry is a vertical line, the value for a maximum is 2.
d) DOMAIN and RANGE
Based on the given equation, the domain will be (-∞, ∞) because all values of x, the parabola continually spreads out.
The range will be (-∞, 2] because the maximum point is 2 and the rest of the values goes negative.
A. -8
B. 0
C. -10
D. 1
Answers
-9=-9 times 1
since there is none, degree is 0
or
x^0=1 so
-9x^0=-9
0 degree
answer is B
Answers
Answer:
(3)√12
Step-by-step explanation:
The other numbers are not continuous
Answers
Answer:
the answer is 50 gallons
Step-by-step explanation:
200/4 = 50