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amid [387]
3 years ago
9

Find f(-6) for f(x) = x² - 4x + 5. Be sure to show your work.

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

substitute -6 in the equation:

f(x)=x^{2} -4x+5,\\f(-6)=(-6)^{2} -4(-6)+5\\f(-6)=36+24+5\\f(-6)=\boxed{65}

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Which physical feature is shown?
alukav5142 [94]

Answer:

APPALACHIAN MOUNTAINS

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6 0
2 years ago
Help please<br> Calculate the product of 8/15, 6/5, and 1/3. 
bogdanovich [222]

Hey there!

Great question:)


8/15 * 6/5 * 1/3 = 16/75


I hope this helps;)

4 0
2 years ago
If 12 cars are needed o get 36 students to the end of the road with their packs, how many cars will be able to carry 9 students
Alina [70]

Answer:

3 cars

Step-by-step explanation:

If 12 cars are needed to carry 36 students,

<em>12</em><em>c</em><em>a</em><em>r</em><em>s</em><em> = 36</em>

the number of cars to carry 9 students will be:

xcars = 9

cross the two equations

36x = 12 X 9

36x = 108

x = 108/36

x= 3

Therefore, 3 cars are needed to carry 9 students

OR

12 cars will carry 36 students

so 1 car will carry, (36/12)students

therefore, 1 car will carry 3 students

So, for 9 students,

9students = 9/3 = 3

7 0
3 years ago
Read 2 more answers
The slope of the line below is 2 use the coordinates of the labeled point to find a point slope equation of the line
yan [13]

Answer:

B.

Step-by-step explanation:

The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.

You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.

When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.

When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.

5 0
3 years ago
Read 2 more answers
Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16
sweet-ann [11.9K]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

<u>Given:</u>

2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)

<u>Use the Power Rule Law:</u>

log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)

<u>Use the Quotient Rule Law:</u>

log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})

<u>Use the Product Rule Law:</u>

log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})

<u>Simplify:</u>

log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})

\frac{4}{9}=\frac{8\sqrt{x}}{9}

4=8\sqrt{x}

\frac{4}{8}=\sqrt{x}

\frac{1}{2}=\sqrt{x}

\frac{1}{4}=x

5 0
2 years ago
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