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3 years ago

How many solutions does the system have?

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

no solution

Step-by-step explanation:

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Photo attached! 10 points! Thank you in advance!!

Fantom [35]

$ax^2+bx+c=0\\\\x^2+7x+9=3\qquad|\text{subtract 3 from both sides}\\\\x^2+7x+9-3=3-3\\\\\boxed{x^2+7x+6=0\to A.}$

$a=1,\ b=7,\ c=6$

6 0

3 years ago

Read 2 more answers

given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

The number represented by x is less than 7 and is evenly divisible by both 0.6 and 2.4

svetoff [14.1K]

2.4<7
2.4 / 0.6 = 4
2.4 / 2.4 = 1

4.8<7
4.8 / 0.6 = 8
4.8 / 2.4 = 2

6 0

2 years ago

25, 8, 10, 35, 5, 45, 40, 30, 20 What is the upper quartile of the data set above?A.35

Vlada [557]

<span>An upper quartile is the range of numbers above the median in a set. Thus, the numbers have to be rearranged mentally or on paper. Fortunately, there are an odd set of numbers, so one number, 25, is the median. The upper quartile is 30, 35, 40, 45.</span>

6 0

3 years ago

What is the answer to the question

Minchanka [31]

D'
you can't use the same single letter to mark a new point.

3 0

3 years ago