All categories

4 years ago

For the equation 2(4x+10)=8x+k, which value of K will create an equation with infinitely many solutions?

Mathematics

1 answer:

saw5 [17]4 years ago

3 0

Answer:

For given linear equation having infinite many solution the value of k is 20 .

Step-by-step explanation:

Given as :

The equation is 2 (4 x + 10) = 8 x + k

For infinite many solution , if the variable cancel out to zero then it will have infinite many solutions

<u>So, from given linear equation</u>

i.e 2 (4 x + 10) = 8 x + k

Or, 2 × 4 x + 2 × 10 = 8 x + k

Or, 8 x + 2 × 10 = 8 x + k

Or, 8 x + 20 = 8 x + k

Or, k + (8 x - 8 x) = 20

Or, k + 0 = 20

∴ k = 20

So, The vale of k = 20

Hence, For given linear equation having infinite many solution the value of k is 20 . Answer

You might be interested in

The side length of an equilateral triangle is 6 cm. What is the height of the triangle? StartFraction 3 Over StartRoot 3 EndRoot

iren2701 [21]

Answer:

C: 3 root 3

Step-by-step explanation:

got it right on edge

8 0

3 years ago

(2.1 x 104) + (3.5 x 106)

igor_vitrenko [27]

Answer:

the answer is 589.4

Step-by-step explanation:

In doing this equation you do the order of operations:

(2.1 x 104)= 218.4

(3.5 x 106)= 371

you then add the answers together to get:

218.4 + 371 = 589.4

8 0

3 years ago

Amy wants to sell at most 25 cookies and at least 10 sprites

Inga [223]

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be ' $x$ ' , then $x$ should be less than or equal to 25

Which is represented by $x\leq 25$ ,

Further,

Let number of sprites be ' $y$ ', then ' $y$ ' should be greater than or equal to 10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

= $.50\times x$

= $.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

= $1.00\times y$

= $y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

6 0

3 years ago

Could anyone help me with these questions ASAP?

FrozenT [24]

8 is b because a circle is 360.

5 0

3 years ago

If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate

Luden [163]

Answer:

a. 30 percent.

Step-by-step explanation:

Given that:

The standard deviation of returns = 20 percent

Beta = 1.5

Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation

Since Correlation with the market will be +1;

Then;

The Standard deviation of portfolio = 1.5 × 20%

The Standard deviation of portfolio = 30.00%

3 0

3 years ago