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2 years ago

What is inequality to compare

Mathematics

1 answer:

Nady [450]2 years ago

5 0

You have to write more for me to solve the question

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Solve 0 = (x – 4)2 – 1 by graphing the related function.

fomenos

Answer:

Therefore, the solutions of the quadratic equations are:

$x=5,\:x=3$

The graph is also attached.

Step-by-step explanation:

The solution of the graph could be obtained by finding the x-intercept.

$y=\left(x-\:4\right)^2-1$

Finding the x-intercept by substituting the value y = 0

$y=\left(x-\:4\right)^2-1$

$\:0\:=\:\left(x\:-\:4\right)^2\:-\:1$ ∵ y = 0

$\left(x-4\right)^2-1=0$

$\left(x-4\right)^2-1+1=0+1$

$\left(x-4\right)^2=1$

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$\mathrm{Solve\:}\:x-4=\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$x-4=1$

$x=5$

$\mathrm{Solve\:}\:x-4=-\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$x-4=-1$

$x=3$

So, when y = 0, then x values are 3, and 5.

Therefore, the solutions of the quadratic equations are:

$x=5,\:x=3$

The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.

8 0

2 years ago

Can you please help me with the whole table

Bad White [126]

44,000
38,720
34,073.60
29,984.77
26,386.60

7 0

2 years ago

Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate mrs s gets a loan payoff of 60 months how much interest would s

Artist 52 [7]

Answer:

$\$4701.80$

Step-by-step explanation:

Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,

We know that,

$\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]$

Where,

PV = Present value of annuity = 25000,

r = rate of interest of each period = $\dfrac{7}{12}$ % monthly

n = number of periods = 60 months,

Putting the values,

$\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]$

$\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}$

$\Rightarrow P=\$495.03$

Hence total amount paid is,

$=495.03\times 60=\$29,701.80$

Therefore interest amount is,

$=29,701.80-25,000=\$4701.80$

4 0

2 years ago

Please help! solve.

IRINA_888 [86]

Answer:

x=11

Step-by-step explanation:

6 0

2 years ago

What is y and x intercept of 3x-2y=12

Keith_Richards [23]

These intercepts are plotted in Figure 3.1 and the line 3x + 2y = 12 is drawn through them. Figure 3.2: Adding the graph of y = x + 1. The second equation y = x+ 1 has slope-intercept form y = mx + b. Hence, the slope is m = 1 and the y-intercept is (0, 1).

8 0

3 years ago

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