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Sav [38]
3 years ago
6

The value of (3a – 4b + 2) × (5a + 6) for a = 1 and b = -2 is

Mathematics
2 answers:
natta225 [31]3 years ago
4 0

Step-by-step explanation:

We know that

a=1 and b= -2

{3*1-4*(-2)+2} .{5*1+6}

= (13-11)

=2

kolbaska11 [484]3 years ago
4 0

Answer:

143

Step-by-step explanation:

(3a – 4b + 2) × (5a + 6)

a = 1 ; b = - 2

(3(1) – 4(-2) + 2) × (5(1) + 6)

Inputting the values of a and b

(3 - (-8) + 2) * (5 + 6)

(3 + 8 + 2) * (11)

13 * 11

= 143

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It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada
Mashcka [7]
<h2>Hello!</h2>

The answer is:

The distance to over by Adam to get to the park is 108 miles.

<h2>Why?</h2>

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

time=4hours

Distance=v*4hours

For the second equation we have: Travel back from Disnery Park

time=4hours-2.5hours=1.5hours

Speed=v+45mph

Distance=(v+45mph)*1.5hours

Then, if Adam covered the same distance going and coming back, we have:

v*4hours=(v+45mph)*1.5hours

v*4hours=v*1.5hours+45mph*1.5hours

v*4hours-v*1.5hours=45mph*1.5hours

v*2.5hours=67.5miles

v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

Distance=(v+45mph)*1.5hours

Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

8 0
4 years ago
PLEASE HELP ME WITH THIS MATH TEST
Troyanec [42]

Answer: 40 cm ^2

Step-by-step explanation:

cuz math

4 0
3 years ago
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Given f(x) = 2^x and g(x)=x+1, (fog)(x)=​
mixas84 [53]

Answer:

(f ○ g)(x) = 2^{x+1}

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

(f ○ g)(x)

= f(g(x))

= f(x + 1)

= 2^{x+1}

3 0
3 years ago
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After a long practice, the marching band drank an entire 15 gallon cooler of water. The foot ball team drank 1/3 less than that.
astra-53 [7]

Answer:

the football team drank 10 gallons of water

Step-by-step explanation:

if the football team drank 1/3 less than 15, 1/3 of 15 is 5 so you would then subtract 5 from 15 and you get 10

6 0
3 years ago
The differential equation y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1cos(x
svet-max [94.6K]

Answer:

y_c = 2 + 10*x

Step-by-step explanation:

Given:

                                                y'' = 0

Find:

- The solution to ODE such that y(0) = 2, y'(0) = 10

Solution:

- Assuming a solution y = Ce^(mt)

So,                                y' = C*me^(mt)

                                    y'' = C*m^2e^(mt)

- Back substitute into given ODE, we get:

                                    y'' = C*m^2e^(mt) = 0

                                    e^(mt) can not be equal to zero

- Hence,                       m^2 = 0

                                     m = 0 , 0 - (repeated roots)

- The complimentary function for repeated roots is:

                                    y_c = (C1 + C2*x)*e^(m*t)

                                    y_c = C1 + C2*x  

- Evaluate @ y(0) = 2

                                    2 = C1 + C2*0

                                    C1 = 2

-Evaluate @ y'(0) = 10

                                    y'(t) = C2 = 10

Hence,                         y_c = 2 + 10*x

5 0
3 years ago
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