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ollegr [7]
2 years ago
5

Declan says that for any number n, the product 4 x n is greater than 4. Which value of n shows why Declan is incorrect?

Mathematics
1 answer:
Sindrei [870]2 years ago
6 0

Answer:

A negative number or zero

Step-by-step explanation:

A negative number or zero will result in a product less than 4.

4 * 0 = 0

0 < 4

4 * -1 = -4

-4 < 4

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FrozenT [24]

Answer:

clever

Step-by-step explanation:

5 0
3 years ago
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Express the interval shown on the number line in inequality notation.
Bess [88]

Answer: x < -3 or x > 5

Step-by-step explanation: Interval notation shows the values of x. X is less than -3, or greater than 5.

6 0
3 years ago
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che
guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

8 0
3 years ago
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Find the value of (-4)(6)(-7)<br> -178<br> 168<br> 178<br> -168
kakasveta [241]

<u><em>Answer:</em></u>

168

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following:</u>

+ve * +ve = +ve                     -ve * -ve = +ve

+ve * -ve = -ve                       -ve * +ve = +ve

<u>Now, for the given problem we have:</u>

(-4) * (6) * (-7)

<u>Let's take the first two terms:</u>

(-4) * (6)

Based on the above rules, the product will be negative

<u>Therefore, </u>

(-4) * (6) = -24

<u>Now, the expression became:</u>

(-24) * (-7)

Again, based on the above rule, the product here will be positive

<u>Therefore,</u>

(-24) * (-7) = 168

Hope this helps :)

4 0
3 years ago
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The slope-intercept equation of a line is y= -7x-2. What are the slope and y-intercept of the line?
Naddik [55]
Slope is -7 and the y-intercept is -2
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