Answer:
X=19m
Step-by-step explanation:
A=LxW
W=A/L=225/25=9m
Rope used =perimeter
4(x-2)=2L+2W
4x-8=2x9+2x25
4x=68+8
X=76/4=19m
Answer:
157
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
it can be found in two ways
f(n)-f(n-1) is common difference of the sequence.
knowing f(n) = f(n-1) + 5
f(n)-f(n-1)=5
so 5 is difference of the sequence.
other method is
f(1)=4
f(2)=?
f(n)=f(n-1)+5 n=2
f(2)=f(2-1)+5
f(2)=f(1)+5
f(2)=4+5=9
f(2)-f(1)=9-4=5
so 5 is difference of the sequence.
Answer:
1) x>4
2)x≤3
3)x<3
Step-by-step explanation:
1)2x+5>13
2x+5-5>13-5 subtract 5 from both sides
2x>8 results from the previous step
2x/2>8/2 divide 2 from both sides
x>4 final answer
for graphing on the number line it is a closed circle so draw anything bigger than 4 so an open circle and arrow going on forever from four on
2) 5x-7≤8 add seven to both sides
5x≤15 divide both sides by 5
x≤3
for number line, it will be a closed circle at 3 and an arrow pointing forever into the smaller than 3
3)5>4x-7 add 7 to both sides
12>4x divide by 4 on both sides
3>x
for number line 3 is bigger then x so x will be anything smaller then 3 o a open circle on three and the arrow going smaller them 3
4)5x-1<9 add 1 to both sides
5x<10 divide by 5
x<2
xis smaller then 10 so open circle and on forever lower then 10
Answer:
P(-3) = -4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
P(x) = x² + 2x - 7
P(-3) is x = -3
<u>Step 2: Evaluate</u>
- Substitute: P(-3) = (-3)² + 2(-3) - 7
- Exponents: P(-3) = 9 + 2(-3) - 7
- Multiply: P(-3) = 9 - 6 - 7
- Subtract: P(-3) = 3 - 7
- Subtract: P(-3) = -4