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3 years ago

Which equation represents the relationship between the

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

7 0

The slope is the change in y over change in x

Given the points (1,8), (2,11), (3,14), (2,17) we can use the table to figure out what our equation will be

Notice on the table as you go on the y term from 8 to 11 to 14 to 17 you are having a constant rate of change of 3. So that’s your change in y

On the left side which is your x, you are going up by 1 every time because it’s {1,2,3,4} So your change in x is 1

Your slope or m in y=mx+b can be found by using the following formula

Change in y/change in x

So here our change in y is 3 and our change in x is 1. So that means our slope is

m=3/1 = 3

y=3x+b

To find b, you can plug in one of the points. Let’s use (1,8). So x=1 and y=8. Now we can plug these in and solve for b.

8=3(1)+b

8=3+b

Subtracting 3 on both sides we have

b=5

Therefore given y=3x+(b) we can plug b in to obtain the following equation

y=3x+5. So that’s your answer

I hope this helps!!! Mark for brainliest!!!

You might be interested in

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 12,

Sedaia [141]

Answer:

geometric (so it's a 1:3 ratio I believe)

Step-by-step explanation:

you're multiplying by 3 each time

8 0

3 years ago

If (42)^p = 41^4, what is the value of p?

babymother [125]

First you need to make both bases the same:

Lets remove the ^p and ^4

To make the base of 42 equal to 41, you would have 41^x = 41

X - ln(42) / ln(41) = 1.00648904

Now you have 41^1.00648904(p) = 41^4

Now the bases are equal so we need to set the exponents to equal:

1.00648904(p) = 4

Divide both sides by 1.00648904 to solve for P

P = 4 / 1.00648904

P = 3.97421114

4 0

4 years ago

Cuales son los minerales que se utiliza para generar energia nuclear

anastassius [24]

Answer:

El uranio es el combustible más utilizado para producir energía nuclear. Eso es porque los átomos de uranio se separan con relativa facilidad. El uranio también es un elemento muy común que se encuentra en las rocas de todo el mundo.

Step-by-step explanation:

por favor marque como brainliest

3 0

3 years ago

A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air

Stells [14]

Answer:

a) 0.0853

b) 0.0000

Step-by-step explanation:

Parameters given stated that;

H₀ : p = 0.6

H₁ : p = 0.6, this explains the acceptance region as;

p° ≤ $\frac{315}{500}$ =0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)

a).

the probability of type I error if exactly 60% is calculated as :

∝ = P (Reject H₀ | H₀ is true)

= P (p°>0.63 | p=0.6)

where p° is represented as pI in the subsequent calculated steps below

= P $[\frac{p°-p}{\sqrt{\frac{p(1-p)}{n}}} >\frac{0.63-p}{\sqrt{\frac{p(1-p)}{n}}} |p=0.6]$

= P $[\frac{p°-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} >\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} ]$

= P $[Z>\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500} } } ]$

= P [Z > 1.37]

= 1 - P [Z ≤ 1.37]

= 1 - Ф (1.37)

= 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)

≅ 0.0853

The probability of Type II error β is stated as:

β = P (Accept H₀ | H₁ is true)

= P [p° ≤ 0.63 | p = 0.75]

where p° is represented as pI in the subsequent calculated steps below

= P $[\frac{p°-p} \sqrt{\frac{p(1-p)}{n} } }\leq \frac{0.63-p}{\sqrt{\frac{p(1-p)}{n} } } | p=0.75]$

= P $[\frac{p°-0.6} \sqrt{\frac{0.75(1-0.75)}{500} } }\leq \frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]$

= P $[Z\leq\frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]$

= P [Z ≤ -6.20]

= Ф (-6.20)

≅ 0.0000 (from Cumulative Standard Normal Distribution Table).

6 0

3 years ago

What is the value of 28 tens

lara [203]

Since there are 28 tens which is basically 28 rows of 10 all you have to do is 28 times 10. Whatever number times ten has a 0 after it so the answer is 280

7 0

3 years ago