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1 year ago

Consider the function f(x) = x² + 10x + 25 for x ≥ -5. What is the value of f-¹(x) when x = 4?

Mathematics

1 answer:

prisoha [69]1 year ago

5 0

Answer:

-3

Step-by-step explanation:

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Which number produces an irrational number when added to 0.5?

Andru [333]

It would be the square root of 3

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2 years ago

Ramiro drew the graph below.

cluponka [151]

The equation x squared minus 8x+16 represents the data in the graph because if you use the -b/2a x=4. Then if you plug in the 4 for the x in the equation you would come out with the vertex of (4,0). Hope this helps.

4 0

2 years ago

Read 2 more answers

5^(-x)+7=2x+4 This was on plato

Setler79 [48]

Answer:

Below

I hope its not too complicated

$x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

Step-by-step explanation:

$5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}$

$Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}$

$\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x$

$\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

3 0

3 years ago

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from

makvit [3.9K]

Answer:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

6 0

3 years ago

Cierto banco emplea 59 personas en dos sucursales. De esta gente, 27 son universitarios graduados. Si una cuarta parte de las pe

NeTakaya

Answer:

Step-by-step explanation:

3 0

2 years ago