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2 years ago

Given the point (2,3) and the slope of 4, find y when x =22

2 answers:

7 0

<span>y = mx + b
3 = 8 + b
3 - 8 = b
-5 = b
m = 4 and b = -5
y = 4x - 5
x = 22:
y = (4 x 22) - 5
y = 88 - 5
y = 83
</span>
Hope This Helps You!
Good Luck Studying :)

tester [92]2 years ago

4 0

Here, We know, y = mx + b
3 = (4)(2) + b
3 = 8 + b
b = 3 - 8
b = -5

Now, y = (4)(22) - 5
y = 88 - 5
y = 83

In short, Your Answer would be 83

Hope this helps!

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Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes

azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

The centre of the ellipse is at the origin and the X axis is the major axis

It passes through the points (-3, 1) and (2, -2)

The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

$\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1$

Given that the ellipse passes through the point (-3, 1)

Hence,

$\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1$

Cross multiplying we get,

9b² + a² = 1 ²× a²b²
a²b² = 9b² + a²

Multiply by 4 on both sides,

4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

$\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1$

Cross multiply,

4b² + 4a² = 1 × a²b²
a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

3a²b² = 32b²
3a² = 32
a² = 32/3----(3)

Substituting in 2,

32/3 × b² = 4b² + 4 × 32/3
32/3 b² = 4b² + 128/3
32/3 b² = (12b² + 128)/3
32b² = 12b² + 128
20b² = 128
b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

$\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1$

$\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1$

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>

8 0

2 years ago

George earns 9% commission on all of his sales. He had sales of 89,400 for the month. Paris works for a different company, and a

Sholpan [36]

Answer: 10.53%

Step-by-step explanation:

George £89400 @ 9% = £8046 so income = £89400+£8046=£97446

Harris (Paris?) gets £447 more so 97446+447=£97893

and this represents sales of £89400 plus commission

so Harris' commission = £97893-£89400 = £8493

So last stage is what commission percentage is £8493 of original sales £89400 = 10.53%

8 0

2 years ago

In an experiment you do a chi-square test comparing observed and expected progeny. Your calculated chi square is 0.375. With 1 d

myrzilka [38]

Answer:

It mean that the observed progeny is similar than the expected progeny. There is no a relationship between the categorical variables.

Step-by-step explanation:

The Chi-squared test is used to test the relationship between categorical variables. A categorical variable is a non-numerical variable. The null hypothesis of the Chi-squared test is that categorical variables are independent; it means that the frequencies are not dependent on the variable. It is important to know that the Chi-squared test does not measure causality, it only measures the relationship. To reject the null hypothesis, you usually need a probability lower than 0.05, but in this case, the probability was way higher than 0.05, it was between 0.5 and 0.9.

4 0

3 years ago

Who can help me answer this question ASAP please and thank you please show work

kotegsom [21]

I'll do the first one to get you started

So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))

g(x) = ( x - 4 )/2

g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)

g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4

g(f(x)) = (2x+0)/2

g(f(x)) = (2x)/2

g(f(x)) = 1x/1

g(f(x)) = 1x

g(f(x)) = x

Let me know if you need help with the other one.

4 0

2 years ago

There are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find the probability t

Softa [21]

The probability of choosing a large red fish is 5/15 or 1/3

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2 years ago