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2 years ago

1. How do you know whether an equation is linear or not? Pls help!

Mathematics

2 answers:

AlladinOne [14]2 years ago

7 0

Maybe this pic could help

lozanna [386]2 years ago

4 0

Answer:

An equation is linear if its graph forms a straight line. This will happen when the highest power of x is 1. Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola, or any other conic for that matter it is a quadratic or nonlinear equation.

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The perimeter of the original rectangle is ______

sergey [27]

Answer:

perimter of original rectangle = 17. 6 mm
side length of the enlarged rectangle = 23. 22 mm
perimeter of the enlarged rectangle = 95. 04 mm

Step-by-step explanation:

PERIMETER OF ORIGINAL RECTANGLE

Length of original rectangle = 4.5 mm
Width of original rectangle = 4.3 mm

perimeter = 2 × ( length + width)

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

SIDE LENGTH OF ENLARGED RECTANGLE

Width of original rectangle = 4. 5 mm
Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

Length of original rectangle = 4.5 mm
Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

PERIMTER OF ENLARGED RECTANGLE

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

8 0

2 years ago

Find an expression which represents the sum of (7x - 8y) and (-6x - 6y) in simplest terms.

grigory [225]

Answer:

$\displaystyle (7x - 8y) + (-6x - 6y) = x - 14y$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle (7x - 8y) + (-6x - 6y)$

Step 2: Simplify

Combine like terms (x): $\displaystyle (7x - 8y) + (-6x - 6y) = x - 8y - 6y$
Combine like terms (y): $\displaystyle (7x - 8y) + (-6x - 6y) = x - 14y$

3 0

2 years ago

Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio

Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 500, \sigma = 80$

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{620 - 500}{80}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0

3 years ago

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1/3y=3 Find the value of y

Ivanshal [37]

Answer is 1/9
Hope it help!!

6 0

3 years ago

On average 113,204 aluminum cans are recycled in a minute. Approximately how many cans will be recycled in 16 days? (Express you

V125BC [204]

I believe the correct answer from the choices listed above is option A. Approximately, there will be 2.61x10^9 cans that will be recycled in 16 days. We calculate as follows:

113204 cans / min (60 min / 1 hr) (24 hr / 1 day) = 163013760 cans / day

163013760 cans / day (16 days) = 2.61x10^9 cans

Hope this answers the question.

3 0

3 years ago

Read 2 more answers