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Free_Kalibri [48]
3 years ago
6

PPLS HELP my maths watch due tomorrow please help me

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

x=0,-1 and x=

​

​ x=\frac{2+\sqrt{10}}{3},\frac{2-\sqrt{10}}{3}x=

​3

​​  

​​  

Step-by-step explanation:

1 Cancel 2 on both sides.

3{x}^{2}+3x=03x

​2

​​ +3x=0

2 Factor out the common term 3x3x.

3x(x+1)=03x(x+1)=0

3 Solve for xx.

x=0,-1x=0,−1

1 Move all terms to one side.

3{x}^{2}-3x-1-x-1=03x

​2

​​ −3x−1−x−1=0

2 Simplify  3{x}^{2}-3x-1-x-13x

​2

​​ −3x−1−x−1  to  3{x}^{2}-4x-23x

​2

​​ −4x−2.

3{x}^{2}-4x-2=03x

​2

​​ −4x−2=0

3 Use the Quadratic Formula.

x=\frac{4+2\sqrt{10}}{6},\frac{4-2\sqrt{10}}{6}x=

​6

​

​4+2√

​10

​

​​  

​​ ,

​6

​

​4−2√

​10

​

​​  

​​  

4 Simplify solutions.

x=\frac{2+\sqrt{10}}{3},\frac{2-\sqrt{10}}{3}x=

​3

​

​2+√

​10

​

​​  

​​ ,

​3

​

​2−√

​10

​

​​  

​​  

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Step-by-step explanation:

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taurus [48]

Answer:

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Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

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This means that in the 20th year since 1990, 900 million passengers would travel by airline.

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6 0
3 years ago
A small explanation would be really appreciated​
shutvik [7]

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

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7 0
3 years ago
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Tresset [83]

<ABC would equal 106

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Kristin and her family left their campsite to take a bike ride. They biked 5 miles west and then 12 miles north. How far are the
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Answer:

they are 17 miles away from their campsite.

Step-by-step explanation:

we get the answer by adding the miles traveled north to the miles traveled west, and we get the total number of miles they traveled away from their campsite.

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