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melisa1 [442]
3 years ago
6

Tell whether the data in the table can be modeled by a linear equation. Explain.

Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

   = (10 - 16) / (-1 - (-3))

   = -6 / (-1 + 3)

   = -6/2

   = -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

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Which statement is sometimes true:
Lelu [443]

Answer:

4. A rectangle is a square

Step-by-step explanation:

A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.

6 0
2 years ago
Ryan buys two hoodies and a pair of sneakers that cost 85.36. If his total is 145.50, how much did one hoodie cost?
RoseWind [281]

Answer:

72.75

Step-by-step explanation:

1) take the big number and divide it by 2

2) the answer will be 72.75 per 1 hoodie

7 0
2 years ago
In 1742, Christian Goldbach conjectured that every even number greater than 2 can be written as the sum of two prime numbers. Ma
mezya [45]

The Goldbach's conjecture is true for each of the following even numbers.

(a) 19+5

(b) 43+7

(c) 83+3

(d) 139+5

(e) 199+11

(f) 257+7

<h3>What is Goldbach's conjecture?</h3>

One of the most well-known and enduring open questions in number theory and all of mathematics is Goldbach's conjecture. It says that the sum of two prime numbers is the even natural number higher than two.

<h3>According to the given information:</h3>

A. 24 can be expressed as:

   24 = 19 + 5

B. 50 can be expressed as:

    50 = 43 + 7

C. 86 can be expressed as:

    86  = 83 + 3

D. 144 can be expressed as:

    144 = 139 + 5

E. 210 can be expresses as:

    210 = 199 + 11

F. 264 can be expresses as:

  264 = 257 + 7

The Goldbach's conjecture is true for each of the following even numbers.

(a) 19+5

(b) 43+7

(c) 83+3

(d) 139+5

(e) 199+11

(f) 257+7

To know more about Goldbach's conjecture visit:

brainly.com/question/13193113

#SPJ4

I understand that the question you are looking for is:

In 1742, Christian Goldbach conjectured that every even number greater than 2 can be written as the sum of two prime numbers. Many mathematicians have tried to prove or disprove this conjecture without succeeding. Show that Goldbach’s conjecture is true for each of the following even numbers.

a. 24,

b. 50,

c. 86,

d. 144,

e. 210,

f. 264

7 0
2 years ago
Lines y = -x+2 and y=x+1
nataly862011 [7]

\\ \sf\Rrightarrow y=-x+2(1)

\\ \sf\Rrightarrow y=x+1(2)

Now

\\ \sf\Rrightarrow -x+2=x+1

\\ \sf\Rrightarrow -2x=-1

\\ \sf\Rrightarrow x=0.5

Put in eq(2)

\\ \sf\Rrightarrow y=0.5+1

\\ \sf\Rrightarrow y=1.5

3 0
3 years ago
A*3a^(2) help quickly
IgorC [24]
The answer is 6a^3 :))
4 0
3 years ago
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