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almond37 [142]
3 years ago
14

Find the value of the discriminant for

x^{2} +5x+1=0" alt="7x^{2} +5x+1=0" align="absmiddle" class="latex-formula">. Then describe the number and type of roots for the equation.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

No real roots

Step-by-step explanation:

Given

7x² + 5x + 1 = 0 ← in standard form

with a = 7, b = 5, c = 1

To determine the nature of the roots use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then the roots are not real

Here

b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3

Thus the 2 roots are not real

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Which sample is representative of the population being studied?
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3 years ago
Solve for x.<br><br> x=<br><br> Look at image
postnew [5]

Answer:

x = 14

Step-by-step explanation:

To find x, the following equation is generated given the available information:

\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}

\frac{2x + 7}{x + 7} = \frac{20}{12}

\frac{2x + 7}{x + 7} = \frac{5}{3}

Cross multiply

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Collect like terms

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3 years ago
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Step-by-step explanation:

Since we are given the slope and the point, we can plug in the point to solve for y-intercept.

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Now, we know the equation is y=-5x-16.

3 0
3 years ago
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