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Usimov [2.4K]
3 years ago
5

How do you know (2,1) is a solution to 4x +y=9

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

4x+y=9

4(2)+(1)=9

8+1=9

9=9

It is a solution

Rashid [163]3 years ago
8 0

Answer:

9=9

Step-by-step explanation:

Solution:

x = 2

y = 1

4x+y=9

4(2) + (1)=9    (here 4 and 2 are multiplying with each other, so 4x2= 8)

8+1=9

9=9

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On your own paper graph each system of equations and then describe it: y=x+4 3x+5y=10
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Each equation form a straight slanting line. For the first equation, it is slanting towards the right which denotes that it has a positive slope. For the the second equation, its plot is slanting towards the left denoting that its slope is negative. Common to both equation is the point (-1.25, 2.75). At this point, the two lines intersect.
7 0
3 years ago
A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 100 hou
hodyreva [135]

Answer:

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{600}{\sqrt{100}} = 98.7

The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons

The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

4 0
3 years ago
PLEASE!!!I NEED HELP!!!!!!!
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3 0
3 years ago
Read 2 more answers
Jorge bought 6 large balloons for a party. This was 25% of all the balloons he bought. How many total balloons did Jorge buy sho
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Answer:

The answer would be 24 balloons in total.

Step-by-step explanation:

Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.

Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.

PROOF:

25% * 24 = 6

24 / 6 = 4

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8 0
2 years ago
11) Which is an example of Associative Property of Addition ?
vlabodo [156]

Answer:

D. (3 + 4) + 9 = 3 + (4 +9)  represents the Associative Property of Addition.

Step-by-step explanation:

Associative Property of Addition states that for any groups of numbers, the order of addition does not matter.

or, for any numbers A, B and C

A + ( B +C)  = (A +B) + C

Here, D. (3 + 4) + 9 = 3 + (4 +9)  represents the Associative Property of Addition.

4 0
3 years ago
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