Two bicyclist are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart? I WILL MARK AS BRANLIEST IF YOU GOT THIS CORRECT!

Lets check if the three conditions hold.

1 : Continuity of g on the interval [0,2]

First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]

2 : Differentiable on the same interval

Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]

Also we have g'(x) = 2*3*x² - 3 = 6x² - 3

3 : Do we have g(0) = g(2) ?

Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1

And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11

Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0

Answer:

• Let the other interior angle be x

[tex]{ \rm{x + 98 \degree = 164\degree}} \\ \\ { \rm{x = 164\degree - 98\degree}} \\ \\ { \boxed{ \rm{x = 66\degree}}}[/tex]

27.400

Step-by-step explanation:

187X187 = 34.969

87X87=7.569

34.969 - 7569 = 27.400

Use the identity

(a + b)² = a ² + 2ab + b ²

Then rewrite 187² as

187² = (100 + 87)² = 100² + 2•100•87 + 87²

Subtract 87² eliminates the last term from above, so we're left with

(100² + 2•100•87 + 87²) - 87²

= 100² + 2•100•87

= 10000 + 2•8700

= 10000 + 17400

= 27400

Answer:Because

Step-by-step explanation:

Ima teacher

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

Step-by-step explanation:

If one of the data points has the form (0,a)

, then a is the initial value. Using a, substitute the second point into the equatio f(x)=a(b)x, and solve for b.If neither of the data points have the form (0,a)

, substitute both points into two equations with the form f(x)=a(b)x Solve the resulting system of two equations in two unknowns to find a and b.Using the a and b found in the steps above, write the exponential function in the form f(x)=a(b)x.

Answer:

hope this helps

pls mark as brainliest

Answer:

the weight of each marble is 2.55 grams

40$ - 100% (full price)

x$ - 70% (100-30=70%)

40 * 70 = 100x

2800 = 100x

x = 28

Answer 28$

or

40$ = 100%

then 1% = 40/100 = 0.4$

so 70% will be 0.4 * 70 = 28$

Similar triangles may or may not be congruent

The value of x that makes both triangles similar is 4.5

The equivalent ratio of both triangles is:

[tex]\mathbf{2 : 1 = 9 : x}[/tex]

Express the above equivalent ratio as a fraction

[tex]\mathbf{\frac 12= \frac x9 }[/tex]

Multiply both sides of the fraction by 9

[tex]\mathbf{\frac 12\times 9 = \frac x9 \times 9 }[/tex]

Cancel out common factors

[tex]\mathbf{\frac 12\times 9 = x}[/tex]

Divide 12 by 9

[tex]\mathbf{4.5 = x}[/tex]

Rewrite the above expression as:

[tex]\mathbf{x = 4.5 }[/tex]

Hence, the value of x is 4.5

Read more about similar triangles at:

https://brainly.com/question/14926756

Answer:

bet but need barinlyist

Step-by-step explanation:

[tex] = > 6a - 2b[/tex]

[tex] = > 6(5) - 2(7)[/tex]

[tex] = > 30 - 14[/tex]

[tex] = > 16[/tex]

Answer:

I believe in the question it only states 4% interest without any time factor so therefore it would be $10 interest for 1 month or 8 months

Is this a trick question?

Step-by-step explanation:

Answer:

$14.6

Step-by-step explanation: because adding how all they are in total.

Answer:

16

Step-by-step explanation:

it doubles every time    2,4,8. 16

Answer:90

Step-by-step explanation:

Answer:

proportional

Step-by-step explanation:

hope this helps

Let's try it! If we set these two ratios equal to each other and cross-multiply, the results should be the same if they are, in fact, proportional.

8/20 = 20/80

400 ? 640

400 and 640 are not the same number, so these ratios are not proportional.

Hope this helps!! :)

Step-by-step explanation:

i hope this is what you need

Answer:

Your answer is C. x=6 I hope this helps you! :D

If you need i can also provide steps.

Answer:

C. x=6

Step-by-step explanation:

You can work it out as follows:

6 - 0.2x = 2(6 - 0.6x) =>

6 - 0.2x = 12 - 1.2x =>

-0.2x + 1.2x = 12 - 6 =>

1.0x = 6 =>

x = 6

Answer:

(m÷3)+2in

Step-by-step explanation:

(m÷3) represents the division of Myron's height and 3

+2 is the extra 2 inches

Hope this helps! :)

Answer:

I don't know what to do sorry

Answer:

B

Step-by-step explanation:

Answer:

27 minutes

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 1

Interval Notation:

( − ∞, 1)

10 quarters 6 nickels 18 dimes

Answer:

Step-by-step explanation:

sin(-430)=-sin(430)=-sin(360+70)=-sin 70

Step-by-step explanation:

I'm not sure about my answer

Answer:

just write like the (this is a example) 2x+6=5x

just put m instead of x but just make it make sence