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DENIUS [597]
4 years ago
12

Two groups of workers are painting a bridge in the bay. The first group is responsible for painting the north side of the bridge

, and the second group is responsible for painting the south side of the bridge. The first group has already painted 2 kilometers of the bridge and is painting 2 additional kilometers per day. The second group has already painted 5 kilometers of the bridge and is painting 1 additional kilometer per day. When the two groups have painted the same amount of the bridge, how much of the bridge will they each have painted?
Mathematics
1 answer:
artcher [175]4 years ago
4 0

Answer:

They will each have painted 8 km. This goal will be met on Day 4.

Step-by-step explanation:

Group A | Group B

Start: 2   | Start: 5                               Day 1

2 + 2 = 4 | 5 + 1 = 6                            Day 2

4 + 2 = 6 | 6 + 1 = 7                             Day 3

6 + 2 = 8 | 7 + 1 = 8                            Day 4

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Minchanka [31]
180 - ( 10x -3) is your answer

8 0
3 years ago
Lily threw a ball. The balls equation that demonstrated its height and velocity is:
SIZIF [17.4K]

The initial height of the ball is the y-intercept of the function

The initial height she threw the ball from is 35

<h3>How to determine the initial height</h3>

The function is given as:

h(x) = -16x^2 + 3x +35

Set x = 0.

So, we have:

h(0) = -16 * 0^2 + 3*0 +35

Evaluate the exponent

h(0) = -16 * 0 + 3 * 0 + 35

Evaluate the products

h(0) = 0 + 0 + 35

Evaluate the sum

h(0)= 35

Hence, the initial height she threw the ball from is 35

Read more about quadratic functions at:

brainly.com/question/14477557

4 0
2 years ago
During an experiement to evaluate the effictiveness of a new public relations program used by a police department to improve its
olga55 [171]

Answer: Maturation

Step-by-step explanation:Internal validity is a type of validity that establishes a cause and effect relationship,this type of validity tries to eliminate alternative explanation for a Discovery.

One of the threats to internal validity is MATURATION.

MATURATION is the type of threat occuring during experiment to prove a particular Discovery as shown by the question where the police officer shot and killed someone against the intention of the experiment.

3 0
4 years ago
Which are the solutions of x2 = -7x – 8?
Lady bird [3.3K]

Answer:

( - 7 + √17 ) / 2, ( - 7 - √17 ) / 2

Step-by-step explanation:

x^2 = - 7x - 8

x^2 + 7x + 8 = 0

Here,

a = 1

b = 7

c = 8

D = b^2 - 4ac

= 7^2 - 4 ( 1 ) ( 8 )

= 49 - 32

D = 17

x = - b ± √D / 2a

= - 7 ± √17 / 2 ( 1 )

x = ( - 7 + √17 ) / 2, ( - 7 - √17 ) / 2

6 0
3 years ago
14.
irina1246 [14]

Answer:

C. There are two solutions: 2 and –2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have

we know that

The solution of the function is equivalent to solve the following system of equations

 ------> equation A

 ------> equation B

The x-coordinate of the intersection point both graphs is the solution of the given function

Using a graphing tool

see the attached figure

The intersection points are  and  

therefore

The solution of the given function are

Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.

Answer: option C.

Step-by-step explanation:

Given  a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.

The options A is not opened upwards, then it is not the answer.

Then the given equation  can be written as:

This function is equal to the parent function, shifted 4 units down.

Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).

Then, the correct option is C. And the solution is:

3 0
3 years ago
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