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sattari [20]
3 years ago
15

- 7 ( x - 2 ) + 1 = 15 - 7x

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer: x=1

Step-by-step explanation:

You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.

1.  -7x + 14 + 1 = 15 -7x

2. Combine like terms -7x + 15 = 15-7x

The two sides of the equation are the same so that means that x=1

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Can someone help me with this math homework please!
mamaluj [8]

Answer:

The rock hits the ground between <u>2</u> seconds and <u>2.5</u> seconds after it is dropped

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccl}t&h(t)&Description\\0&20&Initial \ height\\0.5&18.8&Rock \ in \ downward \ motion\\1&15.1&\\1.5&9&\\2&0.4&The \ height \ just \ before \ the \ rock \ hits \ the \ ground \\2.5&-10.6&The \ calculated \ height \ after\ the \ rock \ hits \ the \ ground \\3&-24.1&Calculated \ height \ after\ the \ rock \ hits \ the \ ground\end{array}

Therefore, the rock hits the ground between t = 2 seconds and t = 2.5 seconds after it is dropped.

4 0
3 years ago
The slope of the line in the graph is
gizmo_the_mogwai [7]

Answer:

the slope of the line in the graph is: 3

the y-intercept is: -4

the equation of the line is: y=3x-4

Step-by-step explanation:

If we find a point on the graph and count it until it reaches other solid point we get that you have to go up three and to the right by one. This solid point I looked at was (0,-4) and counted up to (-1,1). To find the slope, we have to simply count and use "rise over run". The rise is 3 for every 1 we run, making the slope 3/1 which is 3.

the y-intercept is the point on the graph that touches the y-axis on the graph. The only point on the graph that touches the y-axis is -4, making the y-intercept -4.

The equation for a graph is y=mx+b. m would be the slope and b would be the y-intercept. We know that the slope is 3 (m) and that the y-intercept is -4 (b). Putting them together, we get that the equation of the graph is y=3x-4.

6 0
2 years ago
Use the approach in Gauss's Problem to find the following sums of arithmetic sequences.
Svet_ta [14]

The total value of the sequence is  mathematically given as

498501

<h3>The sum of the sequence is..?</h3>

Generally, the equation for Gauss's Problem is  mathematically given as

The sum of an arithmetic series;

1+2+3+...+n= n(n+1)/2

Given an arithmetic sequence,

1+2+3+...+998,

Here,

n = 998

1+2+3+...+n=n(n+1)/2

1+2+3+...+998=98(998 + 1)/2

998 x 999 1+2+3+...+998 =2

1+2+3+...+998 = 498501

In conclusion, 498501 is the total value of the sequence.

Read more about sequence

brainly.com/question/21961097

#SPJ1

6 0
2 years ago
Gomez runs a small pottery firm. he hires one helper at $15,000 per year, pays annual rent of $6,500 for his shop, and spends $2
Vadim26 [7]
$15,000+$6,500+$23,000+$20,500+$5,000=$70,000
$70,000+$40,000=$110,000
$110,000-$82,000=-$28,000
economic profit is -$28,000
$82,000-$70,000=$12,000
accounting profit is $12,000
7 0
3 years ago
What would the points (400,10) represent on the graph​
olga nikolaevna [1]

Answer:

No solution

Step-by-step explanation:

You didn't include enough information

4 0
3 years ago
Read 2 more answers
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