A train travels 80 mph for 2 hours and then it travels 60 mph for 3 hours . What is its average speed over the entire 5-hour trip?

The equation that match the graph is

b. y = 3x^2

In mathematics, a vertical stretch is a transformation of a function that changes the distance between the function's graph and the x-axis without changing its shape.

A vertical stretch multiplies all the y-coordinates of a function's graph by a constant factor greater than 1. This causes the graph to be stretched vertically and move further away from the x-axis.

For example, if we have a function f(x) = x^2, a vertical stretch by a factor of 3 would result in the function g(x) = 3x^2.

The graph of g(x) would be the same as that of f(x), but stretched vertically by a factor of 3.

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Answer:

D Rotainon.

Step-by-step explanation:

The shape is flipped.

answers from left

1. 1

2. 1/2

3. 2

4. 1

Answer:

See below

Step-by-step explanation:

You will need to know the conversion factors for each type of measurement

example    1 pound = 2.204 Kg

or    1 pound = 16 ounces  

or   1 ounce = 28.35 gm

etc

Step-by-step explanation:

The father is presently 25 years old.

And his daughter is presently 5 years old.

Therefore, the father is 5 times older than his so. Currently.

In 5 years, the father will be 30 years old and the son will be 10 years old. So the father will be 3 times the daughters age.

Based on the percentage coverage for personal property, the amount of coverage for Melissa's personal property is $50,760.

This can be found by the formula:

= Replacement value x Percentage of personal property coverage

Solving gives:

= 84,600 x 60%

= $50,760

In conclusion, Melissa's personal property coverage is $50,760.

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Answer:

it should be A if not im sorry

Step-by-step explanation:

Answer: 473 square meters

Step-by-step explanation:

Answer:

147

Step-by-step explanation:

Supplementary angles add to 180 total.

x + y = 180

x + 33 = 180

x = 147

Answer:

I am clueless. Take care though.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

  A) u=<9, 7>; v=<8, -2>

  B) u+v = <17, 5>

  C) 5u-2v = <29, 39>

Step-by-step explanation:

The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.

__

The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.

  u = <11 -2, 1 -(-6)>

  u = <9, 7>

  v = <13 -5, 6 -8>

  v = <8, -2>

__

The sum is the sum of the individual coordinates:

  u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>

  u +v = <17, 5>

__

The weighted sum is the weighted sum of the individual coordinates:

  5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>

  5u -2v = <29, 39>

_____

Additional comment

Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.

Answer: 0.00703

Step-by-step explanation: The ordinary number, or standard form, of this expression would be 0.00703 because here, we are multiplying 7.03 in scientific notation by a power of ten that is negative. If any exponential power of 10 is being multiplied and is negative, the digits move that same number of places to the right of the decimal point to render a smaller number than it was in the expression. Hope this helps!

The standard deviation is a measure of a collection of values' variance or dispersion. The standard deviation of the below graph can be drawn as shown below.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The standard deviation of the below graph can be drawn as shown below.

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Answer:

x = 104°

Step-by-step explanation:

The 142° and <DCE form a straight line, and a straight line measures 180°, do the two angles add up to it:

180° =  142° + m<DCE

m<DCE = 38°

The red symbol in <DCE and <CDE mean they are congruent, so m<CDE is the same as m<DCE, which is 38°.

The 142° angle is an exterior angle to triangle, DCE, an exterior angles are the sum of the remote interior angles, which are <CDE and <DEC. Therefore, we can write:

142° = m<CDE + m<DEC

And we can substitute the values we have:

142° = 38° + x

x = 104°

Answer:

  multiply them

Step-by-step explanation:

Units work in algebraic equations the same way that variables do. They can be multiplied and divided as though they were variables.

For units conversion, we want to change the units without changing the value of the quantity. We do that by multiplying by a unit conversion factor that has a numerator equal to its denominator.

__

We know ...

  1 cup = 8 fl oz

  2 cups = 1 pint

These relations can be written as the conversion factors ...

  (8 floz)/(1 cup)   and   (2 cups)/(1 pint)

Multiplying these together, the units of cups cancel, leaving fluid ounces per pint.

  [tex]\dfrac{8\text{ fl oz}}{1\text{ cup}}\times\dfrac{2\text{ cup}}{1\text{ pint}}=\dfrac{8\cdot2\text{ fl oz$\cdot$cup}}{1\cdot1\text{ pint$\cdot$cup}}=\boxed{\dfrac{16\text{ fl oz}}{1\text{ pint}}}[/tex]

_____

Additional comment

The concept of "like terms" applies to expressions involving units as well as expressions involving variables. Terms can only be added or subtracted if they have the same units.

Answer:

if you simplefy it, it would be 7 1/5

Step-by-step explanation:

see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and  1/5

Answer:

Part A

Solve by substitution.

Given equations:

⇒ 2x - 5 = -6x + 3

⇒ 2x - 5 + 5 = -6x + 3 + 5

⇒ 2x = -6x + 8

⇒ 2x + 6x = -6x + 8 + 6x

⇒ 8x = 8

⇒ 8x ÷ 8 = 8 ÷ 8

⇒ x = 1

To find y, substitute the found value of x into one of the equations:

⇒ y = 2(1) - 5

⇒ y = 2 - 5

⇒ y = -3

Therefore, the solution is (1, -3)

Part B

Substituting x = 1 into the equations:

y = 2x − 5

⇒ y = 2(1) − 5

⇒ y = 2 − 5

⇒ y = -3

y = -6x + 3

⇒ y = -6(1) + 3

⇒ y = -6 + 3

⇒ y = -3

When x = 1, both equations return a y-value of -3.  Therefore, the solution is verified.

Part C

If the two equations are graphed, the solution will be the point of intersection.

Answer:

[tex]f(x) = cos(x - \frac{\pi }{4} ) -1[/tex]

Step-by-step explanation:

In this graph, we have the coordinate point ([tex]\frac{\pi }{4} , 0[/tex]). Without translations, cos(0) = 0, which means that the graph is shifted to the right by [tex]\frac{\pi }{4}[/tex]. We also know that the graph is shifted down by 1 because we have the point

([tex]\frac{5\pi }{4} , -2[/tex]), but accounting for the right shift, this point should really by ([tex]\pi , -2[/tex]). cos([tex]\pi[/tex]) = -1, but on the graph it is -2, meaning that it is shifted down by 1.

Therefore, accounting for the right shift by [tex]\frac{\pi }{4}[/tex] and the shift down by 1, our equation is [tex]f(x) = cos(x - \frac{pi}{4} ) - 1[/tex].

Answer:

The answer is The function g because the graphs of ƒ and g are symmetrical about the line y = x

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Answer:

C.

Step-by-step explanation:

7 7/8 rounds up to 8

2 1/10 rounds down to 2

8-3(2)=2

8 - 6 = 2

he would have about 2 pounds left

so the three pounds left is not reasonable

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

2x-2x-7=-7

We need to solve it first as follows:

[tex]2x-2x-7=-7[/tex]

[tex]2x-2x=-7+7[/tex]

[tex]0=0[/tex]

Since L.H.S. = R.H.S.

So, it satisfies the equation for all x.

So, there will be infinitely many solutions.

Hence, Option 'a' is correct.

Step-by-step explanation:

1. y <= 0

2. all real numbers

3. y >= 0

4. y >= 2

5. y >= -2

6. y <= 2

Answer:

If is not one to one is not inverse (no inverse)

Step-by-step explanation:

Answer:

The angles are vertical, and the value of x is 128 degrees

Step-by-step explanation:

You can tell vertical angles apart from adjacent by looking at their position. Adjacent angles are side by side, right next to each other. Vertical angles are directly across from each other, with their points touching.

Since the angle measures of vertical angles are equal, the value of x is 128

i hope this helps

Answer:

I hope it helps................

Answer:

y = 3x+13

Step-by-step explanation:

I would like to ask you if you know how to differentiate an equation to get a slope ?. I always use calculus to get a slope. The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Answer:   y = 3x+13

Step-by-step explanation:

The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Answer:

exponential function, x = time in minutes, y = number of bacteria

Step-by-step explanation:

y = 20 × (2)^x