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marissa [1.9K]
3 years ago
6

Find the value of x... 3(2x + 5) = 5x + 25​

Mathematics
2 answers:
Lesechka [4]3 years ago
3 0

Answer: x =10

Step-by-step explanation:

exis [7]3 years ago
3 0

Answer

10

Step-by-step explanation:

3[2x±5]=5x±25

6x±15=5x±25

6x-5x=x

25-15=10

x=10

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I really need help with this section
Tpy6a [65]

Looks like you did most of it.

The next step would be setting them equal to 105, like the problem suggests.

5z+3x+7x=105

15x=105

x=7

Then we can plug back in to find the numbers.

5*7=35

3*7=21

7*7=49

35+21+49=105

The three numbers are 35, 21, 49.

Hope this helps.

頑張って!

5 0
4 years ago
Read 2 more answers
Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

3 0
3 years ago
Mr.Bruns class is taking a field trip to the planetarium. The trip will cost $27 for each student. There are 18 students in his
padilas [110]
Total cost
=$27x 18
=$486
4 0
3 years ago
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Simplify -1-18<br> -<br> (18)<br> O - |18|<br> 0-18<br> O 18
sertanlavr [38]

Answer:

simplify -1-18

Step-by-step explanation:

Subtract  18  from −1

− 19

6 0
2 years ago
A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i
attashe74 [19]

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

<h3>What time does the ball take to reach maximum height?</h3>

The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0
2 years ago
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