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3 years ago

The equation of the line of best fit of a scatter plot is y = –3x + 2. What is the slope of the equation?

Mathematics

2 answers:

sesenic [268]3 years ago

8 0

Y = mx + b

m = slope, b = y-intercept

m = -3, therefore the slope is -3

STatiana [176]3 years ago

4 0

Subtract 2 from both sides:
y−2=−3x

Divide both sides by -3:
- y-2/ 3 =x

switch sides:
x- y-2/3

Answer: x- y-2/3

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Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what in

abruzzese [7]

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

5 0

3 years ago

A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection

svet-max [94.6K]

Answer:

x = 2 cm

y = 2 cm

A(max) = 4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x

A(r) = x* y

Area of the rectangle as a function of x

A(x) = x * ( 4 - x ) A(x) = 4*x - x²

Tacking derivatives on both sides of the equation:

A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0

2*x = 4

x = 2 cm

And y = 4 - 2 = 2 cm

The rectangle of maximum area result to be a square of side 2 cm

A(max) = 2*2 = 4 cm²

To find out if A(x) has a maximum in the point x = 2

We get the second derivative

A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2

5 0

3 years ago

an initial population of 700 trout increases at an annual rate of 22%. Which exponential function models the trout population?

REY [17]

Answer:

$y=700(1.22)^{x}$

Step-by-step explanation:

Let

y-----> the trout population

x----> the time in years

we know that

$22\%=22/100=0.22$

$y=700(1+0.22)^{x}$

$y=700(1.22)^{x}$ ----->exponential function that models the trout population

7 0

3 years ago

On a cube, what proportion of the surface area is on each face, to the nearest percent?

Nookie1986 [14]

Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.

3 0

3 years ago

Using this formula l=A 1/2 what is the length of one side of a square with an area of 1,936 square kilometers? (A is the area of

Vera_Pavlovna [14]

c.)44 kilometers

Answer:

Solution given:

let

length =L

and

Area =A

Now

we have

Area [A]=1936 square kilometers

now

As we know that

Area of square :length *length

A=l*l

A=l²

Substituting value of A

1936=l²

doing square root on both side

$\sqrt{1936}=\sqrt{l²}$

we get

l= $\sqrt{2*2*2*2*11*11}$

l=2*2*11

l=44 kilometers

the length of one side of a square is 44 kilometers.

6 0

2 years ago