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3 years ago

What is the equation of the line of reflection in the following coordinate plane?

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

4 0

The line of reflection is x = 1

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The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.

den301095 [7]

Answer:

$x=2.4$

Step-by-step explanation:

<u>Solving Equations Using Successive Approximations</u>

We need to find the solution to the equation

$f(x)=g(x)$

where

$f(x)=2x-5$

$g(x)=x^2-6$

The approximation has been already started and reached a state for x=2.5 where

$f(2.5)=0$

$g(2.5)=2.5^2-6=0.25$

The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)

Let's test for x=2.4

$f(2.4)=-0.2$

$g(2.4)=2.4^2-6=-0.24$

The new difference is -0.2+0.24=0.04

It's accurate enough, thus the solution is

$\boxed{x=2.4}$

5 0

3 years ago

10. Given that the total distance travelled is 4 km and that the initial aceleration is 4 m/s², find:a) the value of V.b) the va

andrezito [222]

The initial deceleration is 4 m/s^2, so this means that considering the first line segment, $\frac{V-100}{T}=-4 \implies V=100-4T$ .

The total distance traveled is 4 km, which is equal to 4000 meters. This is equal to the area under the graph, so $400T-\frac{1}{2}(100-V)(5T)=4000$ .

$400(100-4T)-\frac{1}{2}(4T)(5T)=4000\\\\40000-1600T-10T^2=4000\\\\10T^2 +1600T-36000=0\\\\T^2 +160T-3600=0\\\\(T+180)(T-20)=0\\\\T=20 (T > 0)\\\\\therefore V=100-4(20)=20$

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1 year ago

I shared 3 cars with my cousins I have 5 cousins and me. I want to know how many people will be in each car

tatuchka [14]

there will be 2 people in each car

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3 years ago

What's blah+blah=? jvghdskcghsdjfgbkaehfeklgabkregbfjkabkjdsbfkjbdsfkjb,adgjk

Dimas [21]

blah + blah = blah blah

hope it helps!

7 0

3 years ago

Can two box plots have the same range and iqr

Salsk061 [2.6K]

Yes they can! Just because two plots have the same IQR and range, does not mean that the rest of the data has to be the exact same. For example, the median.

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3 years ago