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Sergio [31]
3 years ago
6

For the inequality below, write the set of numbers in interval notation.

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0
The answer would be [4, infinity)
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Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 Explain to Yuri why 3/4 cannot be a root.
k0ka [10]

Answer:

Yuri is not correct.

Step-by-step explanation:

Given expression is q(x) = 6x³ + 19x² - 15x - 28

If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0

Similarly, for x = \frac{3}{4},

q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28

       = 6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28

       = (\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28

       = (\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}

       = -\frac{1666}{64}

       = -\frac{833}{32} ≠ 0

Therefore, Yuri is not correct. x = \frac{3}{4} can not be a root of the given expression.

6 0
3 years ago
Read 2 more answers
Hamburger sells 3 pounds for six dollars if Samantha 510 pounds of hamburger how much will she pay
Lina20 [59]
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
 
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars. 

The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate  how much the rest will cost.

we now form an equation to assist us.
3 = 6
1= x

(where x represents the unknown price of one pound of hamburger)

Now we must cross-multiply:

3 * x = 6 x 1

3x = 6 

x = 6/3

x = 2

therefore one pound of hamburger costs 2 dollars.

Now, If one pound costs 2 dollars, how about 510 pounds?

We simply multiply:  510 x 2 = 1,020

Therefore  Samantha will pay 1, 020 dollars for 510 pounds of hamburger.






5 0
3 years ago
The sum of three consecutive numbers is -9 what are the numbers
zloy xaker [14]

-9/ 3= -3

-3 + -4 + -2 = -9

 the numbers are -2 , -3 , -4

5 0
4 years ago
Read 2 more answers
How much icing is needed over the donut shown below (Diameter of 4in and 1.5in wide)
Dafna11 [192]
You use the formula C=2(3.14)r r is the radius and in this situation 2 so the answer will be 12.56
5 0
3 years ago
Need a bit of help with this​
natali 33 [55]

Answer:

<h2>∠HFG = 115°</h2>

Step-by-step explanation:

∠JFG + ∠HJF = 180° <em>[Adjacent angles of parallelogram are supplementary] </em>

<em>∠</em>JFG = 65°

=> 65° + ∠HJF = 180°

=> ∠HFG = 180° - 65°

=> ∠HFG = 115°

3 0
3 years ago
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