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2 years ago

If f(x) = 3x + 2, then find the value of x such that f(x) = -4. A. -14 B. -10 C. -2 D. 14

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

5 0

Answer:

Step-by-step explanation:

f(x) = 3x+2

f(x) = -4

-4 = 3x+2

-4-2 = 3x

-6 = 3x

-6/3 = x

-2 = x

x = -2

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PLEASSSsSEEeeE HeLPpPp

prisoha [69]

Answer:

D = 59t

P = 42t

5 hours after noon, darmian is 17 miles closer to the stadium than paisley

Step-by-step explanation:

At noon, Damian is 383 miles away from the stadium and paisley is 315 miles away from the stadium.

Now, we are told that damians speed is 59 mph while paisley's speed is 42 mph.

At t hours after noon, their distance covered will be;

Damian; D = 59t

Paisley; P = 42t

This is because distance = speed × time

Now, 5 hours after noon, their respective distance covered will be;

D(5) = 59 × 5 = 295 miles

P(5) = 42 × 5 = 210 miles

This means that;

distance of Damian from the stadium is; 383 - 295 = 88 miles

Distance of paisley from the stadium is;

315 - 210 = 105 miles

Difference in their distances to the stadium = 105 - 88 = 17 miles

Thus, 5 hours after noon, darmian is 17 miles closer to the stadium than paisley

4 0

2 years ago

In a survey of 400 people randomly selected it was determined that 22 play soccer. What is the probability that a randomly selec

galben [10]

The answer to this problem is 0.055%
And you get that by doing 22/400

7 0

3 years ago

a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel

adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

= 24000 - 750x + 2400x - 75x²

= 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

= $ 150 + 165

= $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0

2 years ago

What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)

Alekssandra [29.7K]

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$3x + y = 6$

$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

$( - 3) \times (m) = - 1$

m is the slope of the line which we want.

$- 3m = - 1$

Negatives simplifies

$3m = 1$

Divide sides by 3

$\frac{3m}{3} = \frac{1}{3} \\$

$m = \frac{1}{3} \\$

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We have following equation to find the point-slope form of the linear functions :

$y - y(0) = m(x - x(0))$

x(0) and y(0) are the coordinates of the point which the line passed through.

$y - 8 = \frac{1}{3} (x - 0) \\$

$y - 8 = \frac{1}{3} x \\$

Add sides 8

$y = \frac{1}{3} x + 8 \\$

Done....

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6 0

2 years ago

Use the quadratic model y = −4x2 − 3x + 4 to predict y if x equals 5.

REY [17]

Answer:

-111

Step-by-step explanation:

substitute 5 in place of each x

-4(5)^2 - 3(5) + 4

then evaluate or type it into your calculator

-100 - 15 + 4

7 0

3 years ago

Read 2 more answers