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satela [25.4K]
3 years ago
12

List the steps that should be used to solve the equation (f)x=g(x) by graphing when F(x)=(1/2)^x-3 and g(x)=3x+5

Mathematics
1 answer:
Tema [17]3 years ago
6 0

ANSWER

See explanation.

EXPLANATION

Step 1

Graph each of the functions.

f(x) = ( \frac{1}{2} )^{x - 3}

and

g(x) = 3x + 5

Step 2

Look for the point of intersection of the two graphs.

From the graph, the two functions intersected at

(0.38,6.14)

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Find the solutions to the equation 102x 11 = (x 6)2 – 2. Which values are approximate solutions to the equation? Select two answ
otez555 [7]

You can try finding the roots of the given quadratic equation to get to the solution of the equation.

There are two solutions to the given quadratic equation

x = 0.202, x = 113.798

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is ax^2 + bx  +c = 0

Then its roots are given as:

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

<h3>How to find the solution to the given equation?</h3>

First we will convert it in the aforesaid standard form.

102x + 11 = (x-6)^2 - 2\\102x + 11 + 2 = x^2 + 36 - 12x\\0  = x^2 -114x + 23\\x^2  -114x + 23 = 0\\

Thus, we have

a = 1. b = -114, c = 23

Using the formula for getting the roots of a quadratic equation,

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{114 \pm \sqrt{114^2 - 92}}{2} \\\\ x = 0.202 (\text{used "-" sign})\\\\x = 113.798 ( used "+" sign})

Thus, there are two solutions to the given quadratic equation

x = 0.202, x = 113.798

Learn more here about quadratic equations here:

brainly.com/question/3358603

5 0
2 years ago
Find P(4).<br> A 1/8<br> B 1/4<br> C 1/2
olga nikolaevna [1]
The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.
4 0
2 years ago
Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going t
allochka39001 [22]

Answer:

Step-by-step explanation:

The question is not complete, i think the correct question is:

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today

Let us assume that each acre of land on Mars cost $107.

a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:

y = 770 + 30x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 770 + 30x

1070 - 770 = 30x

30 x = 300

x = 300/30

x = 10

It would take 10 months for Kareem to buy 10 acres of land

b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:

y = 935 + 45x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 935 + 45x

1070 - 935 = 45x

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It would take 3 months for Kira to buy 10 acres of land

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3 years ago
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fiasKO [112]

Answer:

yes

Step-by-step explanation:

yes

3 0
3 years ago
At an important​ meet, Allyson won the​ women's 100 meters in 12.24 seconds. Find her average rate.
otez555 [7]

The rate is 8.17 meters per second

Further explanation:

In order to find the rate we have to divide the distance covered by the woman by the time she covered it in.

Given

Distance=d=100\ meters\\Time=t=12.24\ sec\\So,\\Rate=\frac{d}{t}\\=\frac{100}{12.24}\\=8.17\ ms^{-1}

The rate is 8.17 meters per second

Keywords: Speed, distance

Learn more about speed at:

  • brainly.com/question/4710621
  • brainly.com/question/4767370

#LearnwithBrainly

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