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3 years ago

Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.

Mathematics

1 answer:

Anarel [89]3 years ago

3 0

Answer:

(0, -3)

Step-by-step explanation:

The solution to the system of equations is the point at which they intersect. The problem statement tells you that point is (x, y) = (0, -3).

Often, for a system defined using functional notation, we don't care about the value of the function. We only care about the value of x where the functions have the same value. That is ...

the solution to f(x) = g(x) is x = 0.

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Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro

pentagon [3]

Y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b

earned 75 and deliverd 20 newpapers
75=20m+b

we have

37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton

-37.5=-5m-b
75=20m+b +
37.5=15m+0b

37.5=15m
divide both sides by 15
2.5=m

sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b

y=2.5x+25 is lnear funtion

7 0

3 years ago

Read 2 more answers

Please answer this question 2x^2 = 3x

Anika [276]

Answer:

x = 1.5

Step-by-step explanation:

2x^2 = 3x

divide whole eqn by x

2x = 3

x= 3/2 =1.5

3 0

4 years ago

Read 2 more answers

The principal "P" is borrowed and the loan's future value "A" at time "t" is given. Determine the loan's simple interest rate

Sever21 [200]

Now.... "t" is in years, 3months off 12 months is 3/12 years

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$2525\\
P=\textit{original amount deposited}\to& \$2500\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to \frac{3}{12}\to &\frac{1}{4}
\end{cases}$

$\bf 2525=2500\left(1+r\cdot \frac{1}{4} \right)\implies \cfrac{2525}{2500}=1+\cfrac{1}{4}r\implies \cfrac{101}{100}=1+\cfrac{r}{4}
\\\\\\
\cfrac{101}{100}-1=\cfrac{r}{4}\implies \cfrac{1}{100}=\cfrac{r}{4}\implies \cfrac{4}{100}=r\implies 0.04=r
\\\\\\
\textit{to convert to percentage format}\implies 0.04\cdot 100\implies 4\%$

8 0

3 years ago

HOW HELP ME PLEDSSSSEEEEEEEEEE

yan [13]

9514 1404 393

Answer:

(6, -3)

Step-by-step explanation:

The midpoint of a segment is the average of the end point coordinates.

F = (C + L)/2

F = ((0, 0) + (12, -6))/2 = (0+12, 0-6)/2 = (6, -3)

The fire station coordinates are (6, -3).

4 0

3 years ago

Simplify the expression: ( 2 √ 5 + 3 √ 7 )^ 2

pogonyaev

Answer:

Exact Form:

83 + 12 √ 35

Decimal Form:

153.99295739

Step-by-step explanation:

8 0

4 years ago