in a dog show there will be a gold and silver medal awarded. there are 3 finalists. in how many different ways can the 2 medals
1 answer:
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Answer:
The number of points won by the first child was 37 points
The number of points won by the second child was 119 points
The number of points won by the third child was 624 points
Step-by-step explanation:
<u><em>The question in English is</em></u>
In a computer game, three children won together 780 points. The second child gained 3 times more points than the first and 8 more points, the third child gained four times more points than the first two in one place. How many points did each child earn
Let
x ----> number of points won by the first child
y ----> number of points won by the second child
z ----> number of points won by the third child
we know that
three children won together 780 points
so
----> equation A
The second child gained 3 times more points than the first and 8 more points
----> equation B
the third child gained four times more points than the first two in one place
----> equation C
Solve the system by substitution
step 1
substitute equation B in equation C
----> equation D
step 2
substitute equation D and equation B in equation A
step 3
solve for x
step 4
Find the value of y
step 5
Find the value of z
therefore
The number of points won by the first child was 37 points
The number of points won by the second child was 119 points
The number of points won by the third child was 624 points
Answer:
When x=-1, y=3; when y=7, x=1; the y-intercept is 5; the x-intercept is 2.5; the slope is 2; the lines' equation is y=2x+5
Step-by-step explanation:
The first two answers can be easily interpreted by looking at the graph. For the next two, remember, the x-intercept is the point where the line touches the x-axis and the y-intercept is the point where the line touches the y-axis. For question e, the slope can be calculated by plugging the two coordinates from the first two questions, (-1,3) and (1,7), into the formula or by using the graph to count the slope. The equation of the line is written in slope-intercept form, y=mx+b. Here, m is the slope and b is the y-intercept. Plug in these values that you already found while answering the previous questions and you have the answer.
The graph that shows f(c)=0.5|x+3|-2 has been added in the attachment.
<h3>How to solve for the graph</h3>We are given the equation to be f(x) = 0.5|x + 3| – 2
This equation above is an absolute value equation that was entered into a graphing calculator
The absolute value equation is represented by the values
f(x) = a|x - h| + k
in the equation above, h and k are the vertex of the graph
when we compare the absolute value equation with the equation we have in the question, we would have h = +3 and k = -2
Hence we would say that the vertex is 3 , -2.
When the graph was plotted, the vertex is the point that shows that meeting at a point in the point 3, - 2 are shown as the vertex also
Read more on graphs here
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