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kolbaska11 [484]
3 years ago
12

Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lage

r number
Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

17

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

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bagirrra123 [75]

Answer:

Read the problem out loud to yourself.

Draw a Picture.

Think “What do I need to find?”

List what is given.

Find the key words.

Solve.

Check your work.

Step-by-step explanation:  Hopefully this helped!

7 0
3 years ago
Read 2 more answers
Find three consecutive odd integers such that the sum of the smallest number and twice the largest number is equal to fifteen mo
inn [45]

Answer:

The three consecutive odd integers are: -11, -13 and -15.

Step-by-step explanation:

Let the smallest number be represented by x. then the three consecutive odd integers are: x, (x + 2) and (x = 4).

The sum of the smallest number and twice the larges number = x + 2(x + 4)

Fifteen more than four times the middle number = 4(x + 2) + 15

So that;

x + 2(x + 4) = 4(x + 2) + 15

x + 2x + 8 = 4x + 8 + 15

3x + 8 = 4x + 23

3x - 4x = 23 - 8

-1x = 15

⇒ x = -15

  (x + 2) = (-15 + 2) = -13

  (x + 4) = (-15 + 4) = -11

The three consecutive odd integers are: -11, -13 and -15.

7 0
4 years ago
What is 6x to the third power?
murzikaleks [220]

Answer:

216x

Step-by-step explanation:

  1. Write it out: 6x^{3}  
  2. 6^{3} = 216  
  3. Add in x: 216x

I hope this helps!

8 0
3 years ago
Read 2 more answers
The logarithmic functions, f(x) and g(x), are shown on the graph.
antiseptic1488 [7]

Answer:

g(x)=\log (x+1)+4

Step-by-step explanation:

<u>Translations</u>

For a > 0

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

Parent function:  f(x)=\log x

From inspection of the graph, the parent function has been translated 1 unit left and 4 units up.

Function translated 1 unit left:  f(x+1)=\log (x+1)

Function translated 4 units up:  f(x+1)+4=\log (x+1)+4

Therefore:

g(x)=\log (x+1)+4

8 0
2 years ago
find two consecutive odd integers such as that 6 times the lesser integer is 7 more than 5 times the greater integer​
aivan3 [116]

Answer:

The first consecutive integer is 17 while the second is 19

Step-by-step explanation:

Let us say that the first odd integer is x

At this point, the second odd integer will be x+2.

This is because to obtain the next consecutive odd integer, 2 will have to be added to the original number.

From the question, we can set up an equation as shown below:

6x= 7+5(x+2)

from this, we can simply evaluate and find out the value of x

6x=7 +5x +10\\x=17

therefore, the first consecutive integer is 17 while the second is 19

3 0
4 years ago
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