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Aleonysh [2.5K]
4 years ago
10

The equation shows the relationship between x and y:

Mathematics
2 answers:
aliina [53]4 years ago
8 0
The pattern of a linear function, is the following:

y  = mx + b

Where m is always the slope.

m in this case is -4, hence

The correct answer for your question is -4.
Cloud [144]4 years ago
6 0

Answer:

it's -4

y = -4x + 9,

the number before the X is always the slope.

You might be interested in
The population of Kings County, New York, has increased 0.53% each year, over several years. The population in 2000 was 2,465,32
Deffense [45]

We have been given that population of Kings County, New York, has increased 0.53% each year, over several years. The population in 2000 was 2,465,326.    

Formula to find population growth: N=N_0(1+r)^{t}

Now we will find expected population of year 2015 by substituting t=15 in our given formula.  

2,465,326(1+0.0053)^{15}

2,465,326(1.0053)^{15}

2,465,326\cdot 1.0825182787557597

2668760.45809\approx 2668760

Therefore, expected population in year 2015 will be 2668760.

7 0
3 years ago
Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5
Rudiy27
I used bionomial expansion up to and including the term x^{3}

(-3 + x)^{5}

-3^{5} (1 +  -\frac{1}{3}x)  ^{5}

-243 (1 +  -\frac{1}{3}x)  ^{5}

n = 5
x = - \frac{1}{3}x


Binomial expansion:

1 + nx +  \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}


Therefore:

1 + (5*-  \frac{1}{3}x) +  \frac{5(4) (- \frac{1}{3}x)^{2}  }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3}  }{6}

=

1 -  \frac{5}{3} x +  \frac{10}{9} x^{2} -  \frac{10}{27}  x^{3} 



Multiply by -243

=

-243 + 405x - 270x^{2} +  90  x^{3} 

3 0
3 years ago
Read 2 more answers
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
neonofarm [45]

Answer:

270 cm^2

Step-by-step explanation:

This is quite easy.

There is formula for it, the formula is bh/2

b= is the base or side that the triangle's altitude or height is perpendicular to.

h= is the height of the triangle or the altitude of the triangle.

I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.

b= 30

h=18

Now substitute the values in the formula

30(18)/2

30 times 18 = 540

divide the product by 2

540/2 = 270

6 0
3 years ago
Read 2 more answers
Mr.santos plants beans and squash in the area shown in the model below which expression is equivalent to the sum of the two area
Mazyrski [523]

Answer:

I would go with A. 3(4 + 7) acres

Step-by-step explanation:

Easy, the expression is equivalent to the sum of two areas... Beans and the Squash... you just add them all together and you get 33 acres. Add the parenthesis first and then multiply by 3 you get 33

7 0
3 years ago
Read 2 more answers
$36.75 divided by $5.25
Lisa [10]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
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