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saul85 [17]
2 years ago
6

24 rounded to the nearest hundred​

Mathematics
2 answers:
Nana76 [90]2 years ago
7 0

Answer:

24.00

Step-by-step explanation:

alex41 [277]2 years ago
6 0

24.oo to the nearest hundred

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
morpeh [17]

Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

  • Answer :

x = -4 or x = 2 ✅

  • Explanation :

<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

  • If b² - 4ac > 0 , There are 2 real-number solutions

  • If b² - 4ac = 0 , There is 1 real-number solution.

  • If b² - 4ac < 0 , There is no real-number solution.

The <em><u>roots</u></em> of the equation are determined by the following calculation:

x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Here, we have :

  • a = 1
  • b = 2
  • c = -8

1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

brainly.com/question/27638369

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2 years ago
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How much money will you make if you make 11.35 for 10 hours 4 days a week?
TEA [102]
Correct me if im wrong, if you multiply 11.35 by 10 you get $113.5. multiply by 4 and that equals to $454. 

-hope this helps
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3 years ago
Give another name for RS.
Zigmanuir [339]

Answer:

Step-by-step explanation:

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Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below
guajiro [1.7K]

Answer:

The coordinates of P' are (4.8,-4.8).

Step-by-step explanation:

The rule of dilation D_{o,2.4}(x,y) represent the dilation with scale factor 2.4 and center at origin.

If the scale factor of the dilation is k and the center is (0,0), then

(x,y)\rightarrow (kx,ky)

Since the scale factor is 2.4, therefore

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From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are

P(2,-2)\rightarrow P'(2.4(2),2.4(-2))

P(2,-2)\rightarrow P'(4.8,-4.8)

Therefore the coordinates of P' are (4.8,-4.8).

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The triangle is a right triangle.
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