Solve the system of equations graphically. Y= - (x-2)^2+1. Y= X-1

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

(1,0) & (2,1)

Step-by-step explanation:

substitute x-1 for y in the first equation then solve using the PEMDAS and traditional rules

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A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4

Sunny_sXe [5.5K]

We can see that the only change that occurs to the points after the reflection is that the x-values are negated, because -4 becomes 4 and -6 becomes 6. And the only reflection that causes only a negation in the x-values is a reflection over the x-axis.

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X in litres is 67% herbicide
y in litres is 46% herbicide
{x+y=42
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3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

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4 years ago

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A store pays $93 for a lamp. The store marks up the price by 35%. What is the amount of

KIM [24]

Answer:

$32.55

Step-by-step explanation:

93 * .35 = 32.55

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3 years ago

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