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Firlakuza [10]
3 years ago
13

Find the rule ans the graph of the function whose graph can be obtained by performing the translation 4 units peft and 5 units d

own on the parent function f(x)=ln(x)
a. f(x)=ln(x+4)-5
b. f(x)=(x-5)-4
c. f(x)=ln(x-4)-5
d. f(x)=ln(x+5)-4​
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0
A. f(x)=ln(x+4)-5
If it shifts to the left side then in braces put a (+) sign and if it shifts to the right then in braces put a (-) sign. If it goes up it’s positive and if it goes down it’s negative
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Carmela works at a department store and earns $10.45 per hour. She has $33 removed from every paycheck for medical insurance. If
Vinvika [58]
Adding 33 to 468.60 gives us $501.60. Dividing that by 10.45 we get 48 hours. Hope this helps, and PM me if something's not clear!
8 0
3 years ago
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GRAVITATION The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial vel
zhuklara [117]
<h3>Option B</h3><h3>At 2 second and 1.75 second, the object be at a height of 56 feet</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial velocity of 60 feet per second is modeled by the equation:</u></em>

h(t) = -16t^2 + 60t

<em><u>At what times will the object be at a height of 56 feet</u></em>

<em><u>Substitute h = 56</u></em>

56 = -16t^2 + 60t\\\\16t^2 - 60t + 56 = 0\\\\Divide\ the\ equation\ by\ 4\\\\4t^2 - 15t + 14=0

Solve the above equation by quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=4,\:b=-15,\:c=14\\\\x =\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\cdot \:4\cdot \:14}}{2\cdot \:4}\\\\Simplify\\\\x = \frac{15 \pm \sqrt{1}}{8}\\\\x = \frac{15 \pm 1}{8}\\\\We\ have\ two\ solutions\\\\x = \frac{15+1}{8} \text{ and } x = \frac{15-1}{8}\\\\x = 2 \text{ and } 1.75

Thus, at 2 second and 1.75 second, the object be at a height of 56 feet

5 0
4 years ago
Function A is a linear function. An equation for Function A is 3x + 4y = 28.
Sergio039 [100]
First, convert that into a y=mx+b form.

Move the x to the other side so y is the only thing on the left. Since you moved it to the other side of the equal sign, be sure to make that number negative (the opposite sign)

Now… you have 4y=-3x+28
Let’s get y by itself. Since you’re multiplying 4 and y, you divide everything by 4 to get your y.

That leaves you with y=-3/4x+7.

We are looking at slope, which is your m in the y=mx+b form.

That is -3/4. The answer is the last square.

3 0
3 years ago
Y = 1.6x + 48
jekas [21]

Answer:

7.5

Step-by-step explanation:

y=1.6x + 48

so you put 60 where y is

60=1.6x + 48

then you subtract 48 from both sides

60-48=1.6x + 48-48

12=1.6x

then you divide 1.6 by both sides

12/1.6=1.6/1.6x

so your answer will be

7.5=x

and also if you put 7.5 where x is in the equation you will get 60 just so you know that.

6 0
3 years ago
4<br> 1. In the equation y = x + 5, what is the slope and<br> =<br> y-intercept?<br> m =<br> b=
alisha [4.7K]

Answer:

m = \frac{4}{3}

b = 5

8 0
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