Answer:
x=39, y=180
Step-by-step explanation:
f(x)=0.4x²-31.2x+788.4
For x=39 the graph reaches its lowest point.
The minimum value of y is:
x=39→y=f(39)=0.4(39)²-31.2(39)+788.4
y=f(39)=0.4(1,521)-1,216.8+788.4
y=f(39)=608.4-1,216.8+788.4
y=f(39)=180
Answer:
Length = 7
Width = 15
Step-by-step explanation:
L= x
W= x-8
2x+2(x-8)=44
Answer
just reverse it. if you already have the long side plug it into the equation a2+b2=c2. and instead of adding youd subtract
Step-by-step explanation:
Answer:
(3, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 4
y = -x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 4 = -x + 5
- Add <em>x</em> to both sides: 3x - 4 = 5
- Add 4 to both sides: 3x = 9
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 5
- Substitute in <em>x</em>: y = -3 + 5
- Add: y = 2
Let us assume the small integer to be = x
Then
The second consecutive greater integer = x + 1
The sum of two consecutive integers is already given in the question and it is 125. based on this given information, the answer to the question can be easily reached.
So
x + x+ 1 = 125
2x + 1 = 125
2x = 125 - 1
2x = 124
x = 124/2
= 62
Then
The largest of the two integers = x + 1
= 62 + 1
= 63
So 63 is the largest integer among the two consecutive integers. I hope the procedure is not very tough for you to understand.
