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3 years ago

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Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

1 answer:

True [87]3 years ago

5 0

Answer:

x>3

Step-by-step explanation:

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Hi can anyone help with this I'm really tired ngl<br><br>What is the area of the hexagon

laila [671]

Answer:

371.2

Step-by-step explanation:

5 0

3 years ago

Given that sin theta = 1/4, 0→theta→π/2, what<br>. what is the exact value of cos 8?

natali 33 [55]

<h3>Answer: Choice B $\frac{\sqrt{15}}{4}$ </h3>

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Work Shown:

Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.

Square both sides of the given equation

$\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}$

Then use the pythagorean trig identity to get

$\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\$

3 0

3 years ago

What's the value of x

Nikolay [14]

X² = hyp² - cat²

x² = 625 - 156.25

x² = 468.75

x ≈ 21,6

3 0

3 years ago

Read 2 more answers

What is the difference of 13 and 5 times a number that equals 29

Anit [1.1K]

(13 - 5n) = 29
-5n = 29 - 13
-5n = 16
n = -16/5 or - 3 1/5

3 0

3 years ago

Read 2 more answers

Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b a

Ratling [72]

X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

$ax^2+bx+c$

Given information-

The equation given in the problem is,

$x^2+13x-48$

Compare the above equation with the standard form. We get,

$a=1\\b=13\\c=-48$

To find out the factor of above equation using X method, follow the steps.

Step 1) Multiply $a$ and $c$ and place $ac$ at the top of X as shown in the image.

$ac=1\times(-48)\\ac=-48$

Step 2) Place $b$ at the bottom as shown in the image below.

$b=13$

Step 3) Find two numbers that multiply the top number $ac$ and to the bottom number $b$ .

Step 4) Write the polynomial from the X box as,

$x^2+16x-3x-48=x(x+16)-3(x+16)$

$x^2+16x-3x-48=(x+16)(x-3)$

Hence the factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

8 0

3 years ago

Read 2 more answers