Answer:
Given equation have two solutions.
x = 
Right option is (D)
Step-by-step explanation:
We have given,

we can rewrite this equation in the form given as:
6x² + 40 + 31x = 0
or 6x² + 31x + 40 = 0
On solving this quadratic equation, we get :
x = 
That means, given equation have two solutions.
Right option is (D)
Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

Both fractions are equal, so:

Applying cross multiplication:



The value of x is 3.
Answer:

Step-by-step explanation:
Remember that complementary angles <em>always </em>add up to 90°.
We know that the two complementary angles are represented by (x) and (x+14). In other words:

So, let's solve for x.
First, combine like terms:

Let's isolate the x by subtracting 14 from both sides:

The left cancels. Subtract on the right:

Divide both sides by 2:

The left side cancels. Divide on the right:

So, the value of x is 38°.
And we're done!
Answer:
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Step-by-step explanation: