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tatiyna
3 years ago
6

Find the discriminant and the number of real roots for this equation. x2 + 2x + 7 = 0

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0

Answer:

Discriminant = -24

No real roots.

Step-by-step explanation:

x^2 + 2x + 7 = 0

The discriminant = b^2 - 4ac

= 2^2 - 4*1*7

= -24

So there are no real roots.

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12750 is the answer... god bless

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3 years ago
The sum of two numbers is 51. If one fourth of one number exceeds one fifth of another number by 6, which of the following is th
jeka57 [31]
<span>Let x=smaller number 
Then x+5=larger number 
Now we are told the following: 
1/5(x+x+5)=x-5 multiply each side by 5 
x+x+5=5x-25 subtract 5x and also 5 from both sides 
x+x+5-5-5x=5x-5x-25-5 collect like terms
</span><span>-3x=-30 divide both sides by -3
x=10 smaller number 
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CK 
1/5(10+15)=10-5 
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5=5 </span>
3 0
2 years ago
Sam has softball practice every 3 days and drama lessons every 7 days. On what day will both occur?
sweet [91]

Answer:

the 21st day

Step-by-step explanation:

21 is 3 and 7's least common multiple

5 0
3 years ago
Read 2 more answers
Use a graphing utility to graph the function and visually estimate the limits.
levacccp [35]

The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = 4x cos x

First to calculate the limit value of the given function at x=0.

\lim_{x \to 0} f(x) = \lim_{x \to 0} 4x cosx

                   = 4×0×1                              (∵ cos0 = 1)

\lim_{x \to 0} f(x) = 0

Similarly,

\lim_{x \to \frac{\pi }{3} } f(x) = \lim_{x \to \frac{\pi }{3} } 4x cosx

                     =  4×\frac{\pi }{3}×cos\frac{\pi }{3}

                     =  4×\frac{\pi }{3}×\frac{1}{2}                          (∵cos60° = \frac{1}{2})

\lim_{x \to \frac{\pi }{3} } f(x)  = 1.153

Hence, The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

8 0
1 year ago
If one liter of paint covers 100 square feet, how many gallons of paint will cover 800 square meters?
mr_godi [17]
It takes 8 liters to cover 800 sqft of floor

there are 3.78541 liters in a gallon so it would take 2.11338 gallons to cover the floor 
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