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kicyunya [14]
3 years ago
15

Help? Write an exponential function for the set of points. (Image Attached)

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

1. Plug values into table inside calculator.

You can acess table by pressing [STAT] > Edit...

2. Use ExpReg function to generate equation.

[STAT] > CALC > scroll down to ExpReg

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Area of a rectangle is 540 sq m. If the length was reduced by 5m and the width was increased by 5m, the are of the rectangle wil
wlad13 [49]

l-length\\w-width\\\\\text{The formula of an area of a rectangle:}\ V=lw\\\\\text{We have the area}\ 540\ m^2\to lw=540\\\\\text{New rectangle}\\\\l-5-length\\w+5-width\\\\\text{We have the area}\ 540\ m^2+35\ m^2=575\ m^2\to (l-5)(w+5)=575\\\\\text{Therefore we have the system of equation:}\\\\\left\{\begin{array}{ccc}lw=540&\to w=\dfrac{540}{l}&(*)\\(l-5)(w+5)=575&&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**)

(l-5)\left(\dfrac{540}{l}+5\right)=575\qquad\text{use distributive property}\\\\(l)\left(\dfrac{540}{l}\right)+(5)(l)-(5)\left(\dfrac{540}{l}\right)-(5)(5)=575\\\\540+5l-\dfrac{2700}{l}-25=575\\\\515+5l-\dfrac{2700}{l}=575\qquad\text{subtract 575 from both sides}\\\\-60+5l-\dfrac{2700}{l}=0\qquad\text{multiply both sides by }\ l\neq0\\\\-60l+5l^2-2700=0\\\\5l^2-60l-2700=0\qquad\text{divide both sides by 5}\\\\l^2-12l-540=0\\\\l^2+30l-18l-540=0\\\\l(l+30)-18(l+30)=0\\\\(l+30)(l-18)=0\iff l+30=0\ \vee\ l-18=0\\\\l=-30

\text{Substitute the value of}\ l\ \text{to}\ (*):\\\\w=\dfrac{540}{18}\\\\\boxed{w=30\ cm}

Answer:\ \boxed{length=18\ cm,\ width=30\ cm}

3 0
3 years ago
N÷5m
Vera_Pavlovna [14]
D. The product of 5 and M divided by N
7 0
3 years ago
Wat is the slope of the line that passes through the points 3,1) and (-2,5)
den301095 [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

m=\boxed{-\frac{4}{5}}

»»————- ★ ————-««  

Here’s why:  

  • We can use the slope formula to find the slope of the two points given.

⸻⸻⸻⸻

\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}

⸻⸻⸻⸻

\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

8 0
3 years ago
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