Answer:
No
Step-by-step explanation:
A 5x8 matrix represents a linear transformation between the vector space and . Remeber that the columns of generate the image of the linear transformation, which is a vector subspace of . Therefore, , which is the dimension of the the total space.
<span>miles per gallon uses ratios. Say your car was doing 80 miles for 4 hours. You would have the ratio 80;4 and you need to find the miles per 1 hour</span>
Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
Answer: 6
Step-by-step explanation:
Answer:
x > -2.5 (-2.5, infinity)
Step-by-step explanation:
Given the inequality expression
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4
Expand
15.3 + 11.22x > -14.25 - 10.2x - 24
15.3 + 11.22x > -38.25 - 10.2x
Collect the like erms
11.22x + 10.2x > -38.25 - 15.3
21.42x > -53.55
x > -53.55/21.42
x > -2.5 (-2.5, infinity)
This gives the required solution