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Nookie1986 [14]
2 years ago
14

What is the vertex of the quadratic function f(x)=(x-8)(x-2)

Mathematics
1 answer:
stich3 [128]2 years ago
7 0
F(x)=(x−8)(x−2)

y=(x−5)2−9
(Pretend the 2 is an exponent)

Use the vertex form, y=a(x−h)2+ky=a(x-2+k, to determine the values of a,h, and k.

a=1
h=5
k=-9

Find the vertex (h, k).
(5, -9)
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What are the intercepts of the function?
snow_tiger [21]

Answer:

x-int: (-1, 0), (-11, 0)

y-int: (0, 11)

Step-by-step explanation:

To find x-int, set equation equal to 0:

x² + 12x + 11

(x + 1)(x + 11)

x = -11, -1

To find y-int, set <em>x</em> = 0

f(0) = 0² + 12(0) = 11

f(0) = 11

7 0
3 years ago
There are 7 school buses taking students on a field trip. There are 37 students on each bus. How many students are going on the
vovangra [49]

Answer:

259 Students

Step-by-step explanation:

So, since there are 37 children in each bus, and 7 busses, we need to multiply the two together.


37\times7 = 259

8 0
3 years ago
I dont understand please help
DiKsa [7]

2 \frac{1}{2}+(-2\frac{1}{4})

This is equal to:

2\frac{1}{2}-2\frac{1}{4}

When you add a negative number, it turns into subtraction.

First, I would change it to mixed numbers:

\frac{5}{2}-\frac{9}{4}

Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:

\frac{10}{4}-\frac{9}{4}

Now, you simply subtract:

10-9=1

1/4 is your answer.

I hope this helps :)

3 0
3 years ago
The experiment proceeded as normal, with the experimental group hearing about the potential presence of a gun as the confederate
Vika [28.1K]

Answer:

The answer is "The threat to internal validity is mortality".

Step-by-step explanation:

It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.

4 0
3 years ago
Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x
AveGali [126]

Answer:

A) 3^{x}*3^{x}

B) 3^{2x}

C) (3 * 3)^{x}

Step-by-step explanation:

Given the exponential expression, 9^{x}:

A)  3^{x}*3^{x} is equivalent to 9^{x} due to the Product Rule of exponents:  a^{m} a^{n} = a^{m + n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x}

Next, apply the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x}  = 9^{x}

B)   3^{2x}  is equivalent to 9^{x} due to the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}.    

C)  (3 * 3)^{x}  is equivalent to 9^{x} due to the Product-to-Power Rule of exponents:  (ab)^{m} = a^{m} b^{m}.  

  • (3 * 3)^{x} = (9)^{x}  = 9^{x}  
5 0
3 years ago
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