All categories

4 years ago

Let m (x)=2x^2+6x-7 determine m (3)

1 answer:

4 0

M(x) = 2x^2 + 6x - 7.......find m(3) by subbing in 3 for every x
m(3) = 2(3^2) + 6(3) - 7
m(3) = 2(9) + 18 - 7
m(3) = 18 + 18 - 7
m(3) = 29 <==

You might be interested in

Answer with all calculations

Sloan [31]

Answer:

Part a) The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) The distance between the two stops is 945 meters

Part c) The average speed during the journey is 5.9 m/sec

Step-by-step explanation:

Part a)

Let

x ---> the time in seconds

y ---> the velocity in m/sec

a ---> acceleration in m/ sec^2

we know that

The acceleration is equal to divide the velocity by the time

The acceleration is the slope of the linear equation of the graph

For the first 20 seconds

take the points

(0,0) and (20,7)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{7-0}{20-0}$

$m=\frac{7}{20}=0.35\ m/sec^2$

therefore

The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) we know that

Looking at the graph

The two stops of the bus are the points (0,0) and (160,0)

The stops of the bus represent the x-intercepts of the linear equation

Values of x when the value of y is equal to zero

In the context of the problem

Values of the time when the velocity of the bus is equal to zero

To find out the distance, we need to determine the area of the graph

(because the distance is equal to multiply the velocity by the time)

The area of the graph in the interval [0,160] is equal to the area of two right triangles plus the area of rectangle

$A=\frac{1}{2}(20)( 7)+(130-20)(7)+ \frac{1}{2}(160-130)(7)$

$A=70+770+105=945\ m$

Part c) we know that

The average speed is equal to divide the total distance by the total time

$\frac{945}{160}=5.9\ m/sec$

7 0

3 years ago

ABCD is a parallelogram and line CD = line DA. determine whether the parallelogram is a rhombus. if so by which property?

tekilochka [14]

Since it tells you it's a parallelogram you know that opposite sides are parallel.
The other piece of information we are given is a pair of consecutive congruent sides. If these sides are congruent the other sides must also be congruent.
Letter B is the answer

7 0

4 years ago

Read 2 more answers

Find the slope of the line that contains point (2,8) and (-5,6)

barxatty [35]

Answer:

2/7

Step-by-step explanation:

Brainliest?

3 0

3 years ago

Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?

Yakvenalex [24]

Answer:

2005400sblackwell

03/27/2020

Mathematics

Middle School

Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?

Answer:

32%

Step-by-step explanation:

I don’t know. I’m on a test got the answer wrong and it showed me the right answer.

7 0

3 years ago

Escribe 2 ejemplos de enunciados que establezcan una regla de correspondencia que represente una función y

Annette [7]

Answer:

Correspondencia entre conjuntos:

a) Inyectiva: es cuando a cada imagen en el conjunto de llegada le corresponde un único origen, es decir, a distintos elementos del conjunto inicial, les corresponden distintos elementos del conjunto final.

b) Sobreyectiva: es si todos los elementos del conjunto final tienen al menos una correspondencia del conjunto inicial

c) Biyectiva: es cuando la correspondencia es inyectiva y sobre inyectiva a la vez

Correspondencia unívoca : es una correspondencia donde cada elemento del conjunto origen se corresponde con solo un elemento del conjunto de llegada.

Correspondencia biunívoca es cuando a cada elemento del conjunto origen se corresponde con solo un elemento del conjunto llegada, y viceversa

Step-by-step explanation:

4 0

3 years ago