The equtaion has only one solution because they cut each other only once <span>and the are independent ..as both line are different. So </span>it would be (d) consistent and independent
Polygons - here we just have triangles - are similar if the corresponding angles are congruent and the corresponding sides are in proportion. Polygons are congruent if in addition to corresponding angles be congruent, corresponding sides are congruent
like terms include terms that you can add/sub/mult/div - certain terms..
for example 23 and 7 are like terms, 4x and 56x are like terms....
here-> 12 and 3 are like terms so you can put them together:
12 + 3 - 4x
then you can simplify it:
15 - 4x is your answer (most simplified)
Answer:
There is not sufficient evidence to support the claim.
Step-by-step explanation:
The claim to be tested is:
The mean respiration rate (in breaths per minute) of students in a large statistics class is less than 32.
To test this claim the hypothesis can be defined as follows:
<em>H₀</em>: The mean respiration rate of students is 32, i.e. <em>μ</em> = 32.
<em>Hₐ</em>: The mean respiration rate of students is less than 32, i.e. <em>μ</em> < 32.
The sample mean respiration rate of students is 31.3.
According to the claim the sample mean is less than 32.
The sample mean value is not unusual if the claim is true, and the sample mean value is also not unusual if the claim is false.
Thus, there is not sufficient evidence to support the claim.
Answer:
h(5) = -22
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>
h(x) = -5x + 3
h(5) is x = 5
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function]: h(5) = -5(5) + 3
- Multiply: h(5) = -25 + 3
- Add: h(5) = -22