Answer:
11 dimes, 17 nickels
Step-by-step explanation:
d + n = 28, put one variable by itself on a side, d = 28 - n
.10d + .05n = 1.95
Sub the first equation into the second
.10(28 - n) + .05n = 1.95
2.8 - .10n + .05n = 1.95
2.8 - .05n = 1.95
-.05n = -0.85
n = 17 nickels
d + 17 = 28
d = 11 11 dimes
G(x)-f(x)=10x+2- (-8x+5)
=10x+2+8x-5
=18x-3
3/5 c 3 + 3 is equivalently
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Implicit Differentiation
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule:
Chain Rule:
Quotient Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
-y - 2x³ = y²
Rate of change of tangent line at point (-1, -2)
<u>Step 2: Differentiate Pt. 1</u>
<em>Find 1st Derivative</em>
- Implicit Differentiation [Basic Power Rule]:
- [Algebra] Isolate <em>y'</em> terms:
- [Algebra] Factor <em>y'</em>:
- [Algebra] Isolate <em>y'</em>:
- [Algebra] Rewrite:
<u>Step 3: Differentiate Pt. 2</u>
<em>Find 2nd Derivative</em>
- Differentiate [Quotient Rule/Basic Power Rule]:
- [Derivative] Simplify:
- [Derivative] Back-Substitute <em>y'</em>:
- [Derivative] Simplify:
<u>Step 4: Find Slope at Given Point</u>
- [Algebra] Substitute in <em>x</em> and <em>y</em>:
- [Pre-Algebra] Exponents:
- [Pre-Algebra] Multiply:
- [Pre-Algebra] Add:
- [Pre-Algebra] Exponents:
- [Pre-Algebra] Divide:
- [Pre-Algebra] Add:
- [Pre-Algebra] Simplify:
Answer:
A) Lexi is 15 and Tanner is 18
B) Enrique has 24 magnets and Peter has 88 magnets
Step-by-step explanation:
1.
t = 3 + l
t + l = 33
substitute:
(t) + l = 33
(3 + l) + l = 33
3 + 2l = 33
-3 -3
2l = 30
/2 /2
l = 15
Lexi is 15
solve for t:
t + 15 = 33
-15 -15
t = 18
Tanner is 18
2.
e = p - 64
e + p = 112
substitute
(e) + p = 112
(p - 64) + p = 112
2p - 64 = 112
+ 64 +64
2p = 176
/2 /2
p = 88
Peter has 88 magnets
e + (p) = 112
e + 88 = 112
- 88 - 88
e = 24
Enrique has 24 magnets