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serious [3.7K]
3 years ago
10

The sum of twice a number and five is greater than three times the number minus three

Mathematics
1 answer:
Deffense [45]3 years ago
7 0
2x-5>3x-3 : given
and now just simplify
-5>x-3
-2>x
x<-2
there you go I guess
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At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acce
Daniel [21]

Answer: If we define 2:00pm as our 0 in time; then:

at t= 0. the velocity is 30 mi/h.

then at t = 10m (or 1/6 hours) the velocity is 50mi/h

Then, if we think in the "mean acceleration" as the slope between the two velocities, we can find the slope as:

a= (y2 - y1)/(x2 - x1) = (50 mi/h - 30 mi/h)/(1/6h - 0h) = 20*6mi/(h*h) = 120mi/h^{2}

Now, this is the slope of the mean acceleration between t= 0h and t = 1/6h, then we can use the mean value theorem; who says that if F is a differentiable function on the interval (a,b), then exist at least one point c between a and b where F'(c) = (F(b) - F(a))/(b - a)

So if v is differentiable, then there is a time T between 0h and 1/6h where v(T) = 120mi/h^{2}

5 0
3 years ago
16y=14+9y please answer 23 points
NeTakaya

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

16y=14+9y\qquad\text{subtract}\ 9y\ \text{from both sides}\\\\16y-9y=14+9y-9y\\\\7y=14\qquad\text{divide both sides by 7}\\\\\dfrac{7y}{7}=\dfrac{14}{7}\\\\y=2

4 0
3 years ago
What is the equation, in point-slope form, for a line that goes through ​ (2, −6) ​ and has a slope of ​ −34 ? plz help
Murrr4er [49]

Answer:

y = -34x + 62

Step-by-step explanation:

<u>Use the point slope form:  (y - y1) = m(x - x1)</u>

<u />

(y - (-6) = -34(x - 2)

y + 6 - 6 = -34x + 68 - 6

y = -34x + 62

Answer:  y = -34x + 62

4 0
2 years ago
Read 2 more answers
2x - 3y = 13 x + 2y = -4
-Dominant- [34]

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 13 → (1)

x + 2y = - 4 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 4 - 2y → (3)

Substitute x = - 4 - 2y into (1)

2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side

- 8 - 4y - 3y = 13

- 8 - 7y = 13 ( add 8 to both sides )

- 7y = 21 ( divide both sides by - 7 )

y = - 3

Substitute y = - 3 into (3) for corresponding value of x

x = - 4 - 2(- 3) = - 4 + 6 = 2

Solution is (2, - 3 )

6 0
3 years ago
Find the surface area of a rectangular prism with a height of 6 inches, a width of 7 inches, and a length of 13 inches.
madam [21]
The answer is B)422 ,you're welcome :)
5 0
3 years ago
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