Which will have the Greater Rate of Change? Growing 14 inches in 2 years or Growing 11 inches in 19 months

What are the answers to 1 5 3 and 6 really aprreciate it!

Gelneren [198K]

1. y=3/4x-3 (just from a triangle from one point on the line to anotheron the line where both end at a point.
2. y=5/1x which is also y=5x (basically subtract y^2-y^1/ x^2-x^1 ex. -2--7/5-4
3.y=2/3x-1/2
4.-3/-1 which is two negatives dividing which makes it positive. y=3x
5.cant see
6. Find slope first. y=3x then use point (1,1) move one left and 3 down. and the y intercept would be -2

4 0

2 years ago

The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The mon

kupik [55]

Answer:

The cost is;

$18.43

Step-by-step explanation:

The general model for a linear equation is;

y = mx + b

let y be the monthly cost in dollars

x is the number of minutes

b will represent the base cost

m is the cost of the call per minute

so let us get m and b

Thus, we have;

18.25 = 31m + b

19.42 = 44m + b

Subtract i from ii

(19.42-18.25) = (44-31)m

1.17 = 13m

m = 1.17/13 = 0.09

To get b, we substitute the value of m in any of the equation

18.25 = 31 m + b

18.25 = 31(0.09) + b

b = 18.25 - 2.79

b = 15.46

so, the equation of the line is;

y = 0.09x + 15.46

Now to get the cost for 33 minutes

simply substitute the value of 33 for x

we have this as;

y = 0.09(33) + 15.46

y = $18.43

8 0

3 years ago

An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

3 years ago

What is the degree for this polynomial 4ry2 + 3x<br> 5

kenny6666 [7]

Answer:

I hope your question is 4x²+3x+5, then the degree of this polynomial is 2

6 0

3 years ago

Find all solutions in the interval [0, 2π). (sin x)(cos x) = 0

Deffense [45]

$\bf sin(x)cos(x)=0\implies 
\begin{cases}
sin(x)=0\\
\measuredangle x=sin^{-1}(0)\\
\measuredangle x=0\ ,\ \pi \\
----------\\
cos(x)=0\\
\measuredangle x=cos^{-1}(0)\\
\measuredangle x=\frac{\pi }{2}\ ,\ \frac{3\pi }{2}
\end{cases}$

3 0

2 years ago

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