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3 years ago

PRECALC HELP please help with the image above (translation up and down)

Mathematics

1 answer:

garik1379 [7]3 years ago

7 0

Answer:

fourth option

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Thus

f(x) = (x - 11)³ ← has been translated right by 11 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

f(x) = (x - 11)³ + 4

represents a translation 11 units right and 4 units up

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Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 2 In x + In(x - 2) = 0

Pani-rosa [81]

Answer:

The value of x is about 2.206.

Step-by-step explanation:

Consider the given equation is

$2\ln x+\ln (x-2)=0$

We need to find the value of x.

Using the properties of logarithm we get

$\ln x^2+\ln (x-2)=0$ $[\because \ln a^b=b\ln a]$

$\ln (x^2(x-2))=0$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln (x^2(x-2))=ln 1$ $[\because \ln 1=0]$

On comparing both sides we get

$x^2(x-2)=1$

$x^3-2x^2=1$

Using graphing calculator, the real solution of the above equation is

$x\approx 2.206$

Therefore, the value of x is about 2.206.

6 0

3 years ago

Simplify 12x to the power of 7 y to the power of 3 divided by 6x to the power of 3 y

Galina-37 [17]

Answer:

2x⁴y²

Step-by-step explanation:

The question gives us the expression;

12x⁷y³ ÷ 6x³y

We are supposed to simplify the expression;

First we could divide the digits;

12 ÷ 6 = 2

Then we divide the like terms;

x⁷ ÷ x³

This means;

$=\frac{x*x*x*x*x*x*x }{x*x*x}$

$= x*x*x*x$

$=x^4$

y³ ÷ y

That is;

$=\frac{y*y*y}{y}$

$=y*y$

$=y^2$

Therefore, the simplified expression will be 2x⁴y²

7 0

4 years ago

What is the final reason???? I will give brainliest!

DaniilM [7]

Well CD and CB are both equal to each other because they’re the same angles , it’s a reflection

8 0

3 years ago

-0.57 < -0.27k + 0.24<br> How do you do this one

marysya [2.9K]

3 < k

Step-by-step explanation:

Simplify by undoing addition to both sides, then divide both sides by the coefficient of k.

8 0

3 years ago

The marketing director of a large department store wants to estimate the average number of customers who enter the store every f

Dahasolnce [82]

Answer:

$36.5674\leq x'\leq61.4326$

Step-by-step explanation:

If we assume that the number of arrivals is normally distributed and we don't know the population standard deviation, we can calculated a 95% confidence interval to estimate the mean value as:

$x-t_{\alpha /2}\frac{s}{\sqrt{n} } \leq x'\leq x-t_{\alpha /2}\frac{s}{\sqrt{n} }$

where x' is the population mean value, x is the sample mean value, s is the sample standard deviation, n is the size of the sample, $\alpha$ is equal to 0.05 (it is calculated as: 1 - 0.95) and $t_{\alpha /2}$ is the t value with n-1 degrees of freedom that let a probability of $\alpha/2$ on the right tail.

So, replacing the mean of the sample by 49, the standard deviation of the sample by 17.38, n by 10 and $t_{\alpha /2}$ by 2.2621 we get:

$49-2.2621\frac{17.38}{\sqrt{10} } \leq x'\leq 49+2.2621\frac{17.38}{\sqrt{10} }\\49-12.4326\leq x'\leq 49+12.4326\\36.5674\leq x'\leq61.4326$

Finally, the interval values that she get is:

$36.5674\leq x'\leq61.4326$

8 0

3 years ago