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VladimirAG [237]
3 years ago
5

Determine the slope between the points (-3, 0) and (0, 5)

Mathematics
2 answers:
Alex787 [66]3 years ago
5 0
The slope is approximately 1.7x+5
Georgia [21]3 years ago
5 0
The slope is 5/3 hope this helps
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Factorise the expression fully; 72ab-36bc+48bd​
Serggg [28]

72ab-36bc+48bd

Factor out 12b from the expression

12b x(6a-3c+4d)

Answer : 12b x(6a-3c+4d)

4 0
3 years ago
A rectangle has the length of 2x+7 and the width of 9x find the area and the perimeter
seraphim [82]

Answer:

see explaination

Step-by-step explanation:

length (l) = 2x+7

width (b) = 9x

area of rectangle = l×b

=(2x+7)(9x)

=18x^2+63x

perimeter of rectangle = 2(l+b)

=2(2x+7)(9x)

=2(18x^2+63x)

=36x^2+126x

3 0
2 years ago
An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d is 0.15 per second of time, t.
garik1379 [7]

Here the function given by

  • f(d)=0.15t

Now

f(1):-

\\ \sf\longmapsto f(1)=0.15(1)=0.15m

\\ \sf\longmapsto f(2)=0.15(2)=0.3m

6 0
2 years ago
Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit
Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is y=2x^{2}-4x+10

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

7 0
3 years ago
Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
2 years ago
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