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Ahat [919]
3 years ago
9

HELP ME HELP ME please !!! 10 points

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

The slope is \frac{3}{2}

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ m=\frac{15-12}{4-2}=\frac{3}{2}

∴ m = \frac{3}{2}

∴ The slope is \frac{3}{2}

→ Substitute its value in the form of the equation above

∴ y = \frac{3}{2} x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = \frac{3}{2} (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

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Serggg [28]

<em>Answer:</em>

<em> $ 2.76</em>

<em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>1 pd ........... $1.15</em>

<em>2.4pd .........$ x</em>

<em>x = 2.4×1.15/1</em>

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<em>Good luck !</em>

4 0
3 years ago
Help pls, will mark brainliest
BaLLatris [955]

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be {\sf T_n} is given by ;

  • {\boxed{\bf T_{n}=T_{1}+(n-1)d}}

Where , <u>d</u> is the common difference

Now , here we are given with ;

{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

{: \implies \quad \sf T_{1}+(5-1)d=T_{5}}

Putting the values and transposing 1st term to RHS , we have ;

{: \implies \quad \sf 4d = -4-8}

{: \implies \quad \sf d=-\dfrac{12}{4}}

{: \implies \quad \sf d=-3}

Now , as we got the common difference , so we can find out the missing terms now ;

{: \implies \quad \sf T_{2}= T_{1}+(2-1)d}

{: \implies \quad \sf T_{2}= 8 +d}

{: \implies \quad \sf T_{2}= 8-3}

{: \implies \quad \bf \therefore \:  T_{2}= 5}

Now

{: \implies \quad \sf T_{3}= T_{1}+(3-1)d}

{: \implies \quad \sf T_{3}= 8 +2d}

{: \implies \quad \sf T_{3}= 8-6}

{: \implies \quad \bf \therefore \:  T_{3}= 2}

Also ,

{: \implies \quad \sf T_{4}= T_{1}+(4-1)d}

{: \implies \quad \sf T_{4}= 8 +3d}

{: \implies \quad \sf T_{4}= 8-9}

{: \implies \quad \bf \therefore \:  T_{4}= -1}

Now , The given table can be written as ;

{\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

8 0
2 years ago
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In th
KatRina [158]

This question is incomplete

Complete Question

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

a) 2x + 3x + 9

b) 2x + 3 + 9

c) 2x + 3x + 9x

d) 2 + 3x + 9

Answer:

a) 2x + 3x + 9

Step-by-step explanation:

Let the number of points shots a player scores = x

In a free throw, the player scored 9 points = 9

The player also scored a number of 2-point shots = 2x

In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half = 3x

The expression represents the total number of points the player scored in the game =

2x + 3x + 9

4 0
3 years ago
Mrs.Welch needs to buy some cat food . If each can costs $0.79 and she has a coupon for $2 off the entire purchase, how many can
allochka39001 [22]

Answer:

11 cans of cat food...........

Step-by-step explanation:

£0.79 x 11 = £8.69

£8.69 - £2 = 6.69

6 0
2 years ago
Read 2 more answers
L || m
Alona [7]

Answer:

c. m∠1 + m∠6 = m∠4 + m∠6

Step-by-step explanation:

Given: The lines l and m are parallel lines.

The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.

a.  m∠1 + m∠2 = m∠3 + m∠4

Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.

m∠3 and  m∠4 are supplementary angles add upto 180 degrees.

Therefore, the statement is true.

b. m∠1 + m∠5 = m∠3 + m∠4

m∠1 + m∠5 = 180 same side of the adjacent angles.

m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.

Therefore, the statement is true.

Now let's check c.

m∠1 + m∠6 = m∠4 + m∠6

We can cancel out m∠6, we get

m∠1 = m∠4 which  is not true

Now let's check d.

m∠3 + m∠4 = m∠7 + m∠4

We can cancel out m∠4, we get

m∠3 = m∠7, alternative interior angles are equal.

It is true.

Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6

3 0
3 years ago
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