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2 years ago

12

Which of these ordered pairs is a solution to the inequality y – 2x ≤ –3?

1 answer:

Archy [21]2 years ago

8 0

The answer is D.(1,-1) the reason is -1(y)-2*1(x)=-3 so, -1-2*1 is less than or equal to -3.

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A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Triss [41]

Answer:

$y = -\frac{7x}{3} - 24$

Step-by-step explanation:

We can model this function using the equation of a line:

$y = ax + b$

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

$-3 = a * (-9) + b$

$-9a + b = -3$

(-12, 4):

$4 = a * (-12) + b$

$-12a + b = 4$

If we subtract the second equation from the first one, we have:

$-12a + b - (-9a + b) = 4 - (-3)$

$-12a + 9a = 4 + 3$

$-3a = 7$

$a = -7/3$

Then, finding the value of b, we have:

$-12a + b = 4$

$28 + b = 4$

$b = -24$

So the equation is:

$y = -\frac{7x}{3} - 24$

3 0

1 year ago

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time

cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

$1\leq t\geq \sqrt{2}$

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

$h =20-5t^{2}$ -----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height $h = 15m$

Put height value in equation 1

$15 =20-5t^{2}$

$5t^{2} =20-15$

$5t^{2} =5$

$t^{2} =1$

$t =\pm1$

We know that the time is always positive, therefore $t=1$

when the stuntman is 10m above the ground.

height $h = 10m$

Put height value in equation 1

$10 =20-5t^{2}$

$5t^{2} =20-10$

$5t^{2} =10$

$t^{2} =\frac{10}{5}$

$t^{2} =2$

$t=\pm\sqrt{2}$

$t=\sqrt{2}$

Therefore ,time interval of camera film him is $1\leq t\geq \sqrt{2}$

7 0

2 years ago

Choose the correct simplification of the expression d3 ⋅ d5.

snow_tiger [21]

$d^3*d^5=d^{3+5}=d^8$

5 0

1 year ago

Please answer! I’m desperate.

lara31 [8.8K]

Answer:

Hi! This is the answer for part C, or finding the factors.

Step-by-step explanation:

Checked by my teacher. hope this part helps. Will post the rest soon.

8 0

1 year ago

Read 2 more answers

A folk band sold CDs at a concert. Each single CD costs $12 and their double CDs cost $17. They sold 14 more single CDs than dou

attashe74 [19]

The band sold 33 single CDs and 19 double CDs.

33 x 12 = 396

19 x 17 = 323

396 + 323 = 719

7 0

1 year ago