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ddd [48]
3 years ago
14

F) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

First number = 60 and another number = 48

Step-by-step explanation:

Let two numbers are 5x and 4x.

The two number are differ by 12. We need to find the numbers.

ATQ,

5x-4x = 12

x = 12

Now first number = 5x

= 5(12)

= 60

Other number = 4x

= 4(12)

= 48

Hence, the numbers are 60 and 48.

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Solve for x. Enter the solutions from least to greatest.<br> 4x^2 + 40x + 84 = 0
crimeas [40]

Answer:

x= -3 , -7

Step-by-step explanation:

6 0
3 years ago
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A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the ang
choli [55]
Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
The horizontal length, at the bottom of the tree is ground level and has a length of 13 ft.

Let x =  angle of elevation.

By definition,
tan x = 9/13 = 0.6923
x = arctan(0.6923) = 34.7 deg. = 35 deg (approx)

Answer: 35°
8 0
3 years ago
What is the domain of the function y=in(x+2) x&lt;-2 x&gt;-2 x&lt;2 x&gt; x&lt;-2 x&gt;-2 x&lt;2 x&gt;2
aev [14]

For this case we must find the domain of the following function:

y = ln (x + 2)

By definition, the domain of a function is given by all the values for which the function is defined.

In this case, the argument of the expression must be greater than 0 to be defined.

x + 2> 0\\x> -2

Thus, the domain of the function is given by all the values of x greater than -2.

Answer:

Domain: x> -2

4 0
3 years ago
Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all
Juli2301 [7.4K]

the solutions to the related equation are 0,2,3 .

<u>Step-by-step explanation:</u>

Here we have , function  f(x) = x3 – 5x2 + 6x . Graph of this function is given below  . We need to find What are the solutions to the related equation . Let's find out:

Solution of graph means the  value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !

At x = 0 .

From the graph , at x=0 we have f(x) = 0 i.e.

⇒ f(x) = x^3- 5x^2 + 6x

⇒ f(0) = 0^3- 5(0)^2 + 6(0)

⇒ f(0) =0

At x = 2 .

From the graph , at x=2 we have f(x) = 0 i.e.

⇒ f(x) = x^3- 5x^2 + 6x

⇒ f(0) = 2^3- 5(2)^2 + 6(2)

⇒ f(0) =0

At x=3 .

From the graph , at x=3 we have f(x) = 0 i.e.

⇒ f(x) = x^3- 5x^2 + 6x

⇒ f(0) = 3^3- 5(3)^2 + 6(3)

⇒ f(0) =0

Therefore , the solutions to the related equation are 0,2,3 .

3 0
3 years ago
Please guys i only have one shot at this!
antoniya [11.8K]

Answer: 2/x+4x^2

Step-by-step explanation:

Do distrubitive property.

SO mutiply 2/5 to 5/x which is 10/5x or 2/x

then 2/5 times 10x^2

10*2/5=20/5 or 4

Done.

Have a nice day! :)

6 0
3 years ago
Read 2 more answers
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