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Nataliya [291]
2 years ago
14

If f(x) = -8 - 5x, what is f(-4)

Mathematics
2 answers:
Mashcka [7]2 years ago
6 0

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

bogdanovich [222]2 years ago
3 0

f(x)=-8-5x

\\ \rm\longmapsto f(-4)

  • Put -4 inplace of x

\\ \rm\longmapsto -8-5(-4)

\\ \rm\longmapsto -8+20

\\ \rm\longmapsto 12

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What is the true solution to the equation below?
Marina CMI [18]

Answer:

The solution is:

  • x=4

Step-by-step explanation:

Considering the expression

lne^{lnx}+lne^{lnx}^{^2}=2ln8

\ln \left(e^{\ln \left(x\right)}\right)+\ln \left(e^{\ln \left(x\right)\cdot \:2}\right)=2\ln \left(8\right)

\mathrm{Apply\:log\:rule}:\quad \:log_a\left(a^b\right)=b

\ln \left(e^{\ln \left(x\right)}\right)=\ln \left(x\right),\:\space\ln \left(e^{\ln \left(x\right)2}\right)=\ln \left(x\right)2

\ln \left(x\right)+\ln \left(x\right)\cdot \:2=2\ln \left(8\right)

\mathrm{Add\:similar\:elements:}\:\ln \left(x\right)+2\ln \left(x\right)=3\ln \left(x\right)

3\ln \left(x\right)=2\ln \left(8\right)

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3\ln \left(x\right)}{3}=\frac{2\ln \left(8\right)}{3}

\ln \left(x\right)=\frac{2\ln \left(8\right)}{3}.....A

Solving the right side of the equation A.

\frac{2\ln \left(8\right)}{3}

As

\ln \left(8\right):\quad 3\ln \left(2\right)

Because

\ln \left(8\right)

\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3

⇒ \ln \left(2^3\right)

\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)

\ln \left(2^3\right)=3\ln \left(2\right)

So

\frac{2\ln \left(8\right)}{3}=\frac{2\cdot \:3\ln \left(2\right)}{3}

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6

          =\frac{6\ln \left(2\right)}{3}

\mathrm{Divide\:the\:numbers:}\:\frac{6}{3}=2

          =2\ln \left(2\right)

So, equation A becomes

\ln \left(x\right)=2\ln \left(2\right)

\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)

         =\ln \left(2^2\right)

         =\ln \left(4\right)

\ln \left(x\right)=\ln \left(4\right)

\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)          

x=4

Therefore, the solution is

  • x=4
6 0
2 years ago
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A group of students is riding in a bike tour. They have biked 15 miles, which is 25% of the tour. How long is the tour?
igor_vitrenko [27]

Answer:

60 miles

Step-by-step explanation:

25% of 60 = 15

Hoped this helped<33

3 0
2 years ago
Beach towels are on sale for $1.50 off the regular price. Ms. Ortiz buys 4 beach towels on sale for a total of $33.96. Write and
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Step-by-step explanation:

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3 years ago
Factor the following:<br><br> 5∙(a+3)^2-(a+3)
Zanzabum

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Factor the polynomial.

(a+3)(5a+14)

3 0
2 years ago
~khan academy 7th grade
pickupchik [31]

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1 answer: 

A.\ |1.7 - 1/2|

B.\ |1.7 -(-1/2)|

C. None of the above

Answer:

B.\ |1.7 -(-1/2)|

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

Difference = 1.7 - (-1/2)

Then, we calculate the distance;

<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>

Hence,

Distance = |Difference|

Substitute 1.7 - (-1/2) for Difference;

Distance = |1.7 - (-1/2)|

<em>Hence, the correct option is B</em>

4 0
3 years ago
Read 2 more answers
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