The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.

You can use the power rule for derivatives for each problem (though you could also use the product rule for the fourth curve).

y = x ² + 6x - 1   ==>   dy/dx = 2x + 6

y = x ² - 5x + 1   ==>   dy/dx = 2x - 5

y = 2 - 4x - x ²   ==>   dy/dx = -4 - 2x

y = (1 + x) (7 - x) = 7 + 6x - x ²   ==>   dy/dx = 6 - 2x

--

or, using the product rule,

dy/dx = (1 + x) (-1) + 1 (7 - x) = -1 - x + 7 - x = 6 - 2x

--

Now, stationary points occur where the derivative is zero. We have

2x + 6 = 0   ==>   x = -3

2x - 5 = 0   ==>   x = 5/2

-4 - 2x = 0   ==>   x = -2

6 - 2x = 0   ==>   x = 3

78.5714286..answer ..........

0.0127

Step-by-step explanation:

the answer is recurring

9514 1404 393

Answer:

  all space diagonals meet in the center of the prism

Step-by-step explanation:

The center of the prism is halfway between any pair of parallel faces. The dimension to it is half the dimension between the faces.

One way to find it is by seeing where the space diagonals meet.

Answer: -112/8=-14

Step-by-step explanation: Quotient means to divide.

Answer:

6.32

5

254.34

Step-by-step explanation:

The lengths of the missing sides can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

first missing side

7² = 3² + x²

49 = 9 + x²

x² = 49 - 9

x² = 40

x = 6.32

second missing side

3² + 4²

9 + 16

= 25

√25 = 5

Area of a circle = πr²

Where : = π = pi = 3.14

3.14 x 9² = 254.34

Step-by-step explanation:

f(x)=2x+1 and g(x)=x²-7

(f/g)(x) = (2x+1)/(x²-7)

Answer:

pls answer my questions plsss

<EAD (2nd option)

The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.

Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one

Answer:

I believe that

1) Isosceles, acute

3) Scalene, obtuse

5) Isosceles, right

7) Equilateral, acute

Step-by-step explanation:

This should help in the future. :)

Answer:

The answer to this problem is True.

Answer:

24 seconds

Step-by-step explanation:

Given data

Blues flashes= 8 seconds

Red flashes= 12 seconds

Let us find the least common factor of 8 and 12

8= 2,4,8,16,24

12=2,3,4,6,24

Hence the number seconds is 24 seconds

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 3)^2 + (2 - 7)^2}[/tex]

=[tex]\sqrt{(6)^2 + (-5)^2}[/tex]

=[tex]\sqrt{36 + 25}[/tex]

=[tex]\sqrt{61}[/tex]

=7.8 unit

Answer: (1,-2) , (4,1)

Step-by-step explanation:

Given

The two curves are [tex]y=x^2-4x+1[/tex] and [tex]y=x-3[/tex]

From the figure, it observed that the two curves intersect at (1,-2) and (4,1).

So, the ordered pair from least to greatest is (1,-2) and (4,1)

Answer:

65.5

Step-by-step explanation:

Answer:

It would take Micheal 22 days.

Step-by-step explanation:

The end goal is to have 80 and we begin with 14

So, 80 - 14 = 66 pieces left to collect

If he collects 3 per day we'll divide 66 by 3, which equals 22

Therefore it takes him 22 days  

Answer:

0

9

-2

-23

Step-by-step explanation:

a function f(x) defines a y-value for any valid x-value.

that's why it is often written as y = f(x).

the inverse function of an original function just turns the question upside down.

now we want to see for a given y-value of the original function, what was the original x-value to get this y.

therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.

so, in our example

f(x) = y = -4x - 3

4x + y = -3

4x = -y - 3

x = (-y - 3) / 4

in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".

so, the inverse function is therefore as a function of x

y = (-x - 3) / 4

for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0

when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.

so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.

for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2

for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.

Answer:

9

Step-by-step explanation:

Integer

Answer:

60 is the median

Step-by-step explanation:

Answer:

2. angle BAD is equal to angle DCB?

3. angle CBA is equal to angle ADC, then

4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA

Step-by-step explanation:

since line BCD is equal to line DAB

AND line CBA is equal to line ADC

and because BEA triangle equals DEC, angles BEA and DEC are congruent

and angle BEC is equal to DEA

and yeah your right, it would be supplementary.

Answer:

∠SVU = 49°

Step-by-step explanation:

∠SVU is an inscribed angle and arc SU is the arc it intercepts

If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.

Hence ∠SVU = arc SU / 2

if arc SU = 98

Then ∠SVU = 98/2 = 49

Answer:

-75

Step-by-step explanation:

-39 = 24 +(n-1)(-7)

-39 = 24 +7-7n

-39 = 31-7n

7n = 31+39

7n=70

n=10

the sum = 10/2 × (24-39)

= 5 × -15

= -75

Answer:

75

Step-by-step explanation:

87°

Step-by-step explanation:

We know that sum of angles of triangle is 180 ° .

21° + 72° + x = 180°

combine like terms

93 ° + x = 180 °

Subtract 93 ° from each side

93° - 93° + x = 180° - 93°

x = 87 °

Answer:

CDEF and GHIJ

Step-by-step explanation:

This prism is composed by parallelograms. A parallelogram is composed by two pairs of parallel lines

two parallelograms that are parallel can be: CDEF and GHIJ

Answer:

the slope of the graph is 3/2

Step-by-step explanation:

Answer:

14x^3 LCD

(35x+4) / 14x^3

Step-by-step explanation:

5 /2x^2  + 2 / 7x^3

We need to find the least common denominator

2x^2  =2 *x*x

7x^2 = 7*x*x*x

x*x is common so we need to multiply that by 2*7*x

The least common denominator is 2*7*x*x*x = 14 x^3

To add the two, multiply to get the common denominator)

5/2x^2 * (7x/7x) +  2/7x^3 *(2/2)

35x/14x^3 + 4/14x^3

(35x+4) / 14x^3

Answer:

I BELIEVE ITS C {^_^}

Step-by-step explanation:

The trigonometric function y = 3cos(πx) has a period 2.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

a is the function's amplitude.

The function's wavelength is b.

The phase shift of a function is c.

We already know that y = cosx has a 2 period.

The period is calculated as T= 2π/b and if T = 2.

y = 3cosx

2=2π/b

b= 2π/2 = π.

learn more about trigonometric functions here :

https://brainly.com/question/6904750

#SPJ7

Answer:

∠GIH or ∠HIG

Explanation:

Just make sure the vertex of the angle is the middle letter. In this case, it is I.

Answer:

LN = 14

Step-by-step explanation:

diagonals of a parallelogram bisect each other so

LN = 2LP

LN = 2*7

LN = 14

The midpoint formula:

[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]

From the graph, the point starts from (-3,2) and ends at (4,-1).

Substitute these points in the formula.

[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]

Hence the midpoint is (1/2,1/2)

Answer

Answer:

90%

Step-by-step explanation:

cost price of both tv = 2500

sale price of undamaged = 3000

sale price of damaged = 2200

sale price of both tv = 5200

profit = sale price - cost price

profit = 5200 - 2500

profit = 2700

profit percentage = profit × 100 ÷ cost price

profit percentage = 2700 × 100 ÷ 2500

profit percentage = 90%