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2 years ago

How do I graph x-4y=4 and 3x+y=-1

Mathematics

1 answer:

ololo11 [35]2 years ago

8 0

Answer:

Draw all these points and draw a straight line through all of them.

Step-by-step explanation:

y = mx + b

x - 4y = 4

-x -x

-4y = -x + 4

/-4 /-4

y = $\frac{1}{4}x$ -1

(0,-1),(4,0),(-8,-3),(-4,-2),(8,1) - The first graph attached

3x+y=-1

y = -3x - 1

(0,-1),(-1,2),(-3,8),(2,-7),(3,-10) - The second/last graph attached.

Hope this helps!

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If a is an odd integer and b is an even integer, which of the following makes an odd integer?

Serga [27]

9514 1404 393

Answer:

D.) a+2b

Step-by-step explanation:

The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...

A) 3(0) = 0 . . . even

B) 1 +3 = 4 . . . even

C) 2(1+0) = 2 . . . even

D) 1 +2(0) = 1 . . . odd

_____

<em>Additional comment</em>

These rules apply to even/odd:

odd × odd = odd
odd × even = even
even × even = even
odd + odd = even
odd + even = odd
even + even = even

Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.

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2 years ago

The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4

prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

$a(l) = \frac 12 l^2$

When l = 1, we have:

$a(1) = \frac 12 \times 1^2$

$a(1) = 0.5$

When l = 2, we have:

$a(2) = \frac 12 \times 2^2$

$a(2) = 2.0$

When l = 3, we have:

$a(3) = \frac 12 \times 3^2$

$a(3) = 4.5$

When l = 4, we have:

$a(4) = \frac 12 \times 4^2$

$a(4) = 8.0$

Represent the above results as a table, we have:

1 0.5

2 2.0

3 4.5

4 8.0

Read more about tables and functions at:

brainly.com/question/13136492

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2 years ago

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n

slava [35]

Answer: B: n^2+6n+1

Step-by-step explanation:

A=n

B=2n+6

C=n^2-1

AB-C

n(2n+6)-n^2-1

2n^2+6n-n^2+1

n^2+6n+1

4 0

2 years ago

Read 2 more answers

Costs for standard veterinary services at a local animal hospital follow a Normal distribution with a mean of $72 and a standard

Romashka [77]

Answer:

$P(32$

And we can find this probability with this difference:

$P(-1.905$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.905$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the costs of services of a population, and for this case we know the distribution for X is given by:

$X \sim N(72,21)$