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2 years ago

Solve this quadratic inequalitie with detailed full explanation

Mathematics

2 answers:

ANTONII [103]2 years ago

7 0

$x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle$

different approach:

$x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0$

see attachment

$x\in\langle-4,4\rangle$

Blizzard [7]2 years ago

5 0

$~~~~~~x^2 \leq 16\\\\\implies -\sqrt{16} \leq x\leq \sqrt{16}\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4]$

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Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t

Alina [70]

Answer:

~ $150=50e^{-0.01()20}$

~ $p(100)=\$127.7$

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week $P_{20}=\$150$

Marginal price-demand function $p'(x)=-0.5e-0.01x$

Generally the The Marginal price function is mathematically given by

$p'(x)=-0.5e^{-0.01x}$

$p(x)=\int-0.5e^{-0.01x}$

$p(x)=50e^{-0.001x}+C$

Therefore the equation when the demand is 20 TVs per week at $150 per TV

$150=50e^{-0.01()20}$

Giving

$p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}$

Therefore the Price when the demand is 100 TVs per week

$p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}$

$p(100)=\$127.7$

7 0

2 years ago

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Step-by-step explanation:

Given the points

(-8, 5)

(-1, -5)

Finding the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)$

$m=\frac{-5-5}{-1-\left(-8\right)}$

$m=-\frac{10}{7}$

We know the slope-intercept form of the line equation is

$y = mx+b$

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

$5\:=\:\frac{-10}{7}\left(-8\right)+b$

$\frac{80}{7}+b=5$

$b=-\frac{45}{7}$

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

$y = mx+b$

$y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)$

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Thus, the equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

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3 years ago

1+1 pls, help, I will give you brainliest answer!!! just hellllllp!!!!!

eimsori [14]

Answer:

2!!!

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

Turn 3x+8y=14.50 in a y equals equation

zlopas [31]

Answer:

y= (-3x +14.50) / 8

Step-by-step explanation:

Isolate the 8y

Subtract 3x from both sides

8y = -3x + 14.50

Then, isolate the left to only y

y= (-3x +14.50) / 8

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3 years ago

You can work at most 20 hours next week. You need to earn at least $130 to cover your weekly expenses. Your pizza delivery job p

never [62]

P = # of hrs at pizza delivery job, c = # of hrs at car wash job
p + c < = 20 (thats less then or equal)
10.50p + 7.50c > = 130 (thats greater then or equal)

8 0

3 years ago