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Ludmilka [50]
2 years ago
6

The distance Train A travels is represented by y=70x, where y is the distance in kilometers and x is the time in hours. What is

the unit rate of Train A?
Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
7 0

Answer:

the unit rate is 70 miles per 1 hour

Step-by-step explanation:

You might be interested in
The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please help!!
yan [13]

Answer:

B

Step-by-step explanation:

The black graph is the graph of y=f(x).

The red graph is the reflection of the black graph across the y-axis.

A. y=f(x-1) determines the translation of the graph y=f(x) one unit to the right.

B. y=f\left(\dfrac{x}{-1}\right) determines the reflection of the graph y=f(x) across the y-axis.

C. y-1=f(x),\ y=f(x)+1 determines the translation of the graph y=f(x) one unit up.

D. \dfrac{y}{-1}=f(x),\ y=-f(x) determines the reflection of the graph y=f(x) across the y-axis.

8 0
3 years ago
Find dyldx.<br> 3. y=2x sin(3x)
vredina [299]

Answer:

\large\boxed{\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)}

Step-by-step explanation:

\dfrac{dy}{dx}=(2x\sin(3x))'\\\\\text{use}\ \bigg(g(x)\cdot f(x)\bigg)'=g'(c)f(x)+g(x)f'(x)\\\\\text{and}\ \bigg(f(g(x))\bigg)'=f'(g(x))\cdot g'(x)\\\\\dfrac{dy}{dx}=(2x)'(\sin(3x))+(2x)(\sin(3x))'\\\\\dfrac{dy}{dx}=2\sin(3x)+(2x)(\cos(3x)\cdot(3x)')\\\\\dfrac{dy}{dx}=2\sin(3x)+2x\cos(3x)\cdot3\\\\\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)

6 0
3 years ago
Which choice is the equation of the line that passes through the point (5, 19) and has a slope of
Liono4ka [1.6K]

Answer:

The equation is;

y = 12x-41

Step-by-step explanation:

Mathematically;

slope intercept form is;

y = mx + b

where m is slope and b is intercept

Since we already have the slope , the equation is;

y = 12x + b

To get b which is the y intercept, we simply substitute the value of the points given

Thus;

19 = 5(12) + b

19 = 60+ b

b = 19-60

b = -41

So the equation is;

y = 12x - 41

3 0
2 years ago
Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

brainly would epic!

7 0
3 years ago
Read 2 more answers
Order these numbers from least to greatest. 80 , −9.75 , −9.7 , −24825
Diano4ka-milaya [45]
Least is on top, Greatest is on bottom
-24,825
-9.75
-9.7
80
8 0
3 years ago
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