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3 years ago

Confused on how to write the equation due to the graph having a point at (1,2).

Mathematics

1 answer:

kari74 [83]3 years ago

5 0

Answer:

The line passes through (1,2) and (4,4)

The equation,

$\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1}$

$\frac{y - 2}{x - 1} = \frac{4 - 2}{4 - 1} = \frac{2}{3}$

$3(y - 2) = 2(x - 1)$

$= > 3y - 6 = 2x - 2$

$= > 2x - 3y - 2 + 6 = 0$

$= > 2x - 3y + 4 = 0$

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find the column which has products that are the sum of the yellow shaded numbers in each row Shaded the column what pattern do y

BaLLatris [955]

Answer:

They are even numbers (divisible by two)

Step-by-step explanation:

The number column starts from 2 and is incremented by two for every number in the column. The remainder of the division of each number in the sequence is zero and the result of the division is sequence 1,2,3,4,5,6,7...

Therefore, the numbers in the column are even numbers.

6 0

3 years ago

F(x) = 2x² + x at (-1, 1)

lord [1]

Answer:

$f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1$

4 0

3 years ago

Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

$P=\frac{x}{y}$

In this problem

The probability of choose a blue card is

$x=7$

$y=7+4+6+8=25$

substitute

$P=\frac{7}{25}$

The probability of choose a green card is

$x=4$

$y=7+4+6+8=25$

substitute

$P=\frac{4}{25}$

The probability of choose a red card is

$x=6$

$y=7+4+6+8=25$

substitute

$P=\frac{6}{25}$

The probability of choose a yellow card is

$x=8$

$y=7+4+6+8=25$

substitute

$P=\frac{8}{25}$

The sum of the probabilities of the 4 possible outcomes is equal to

$\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}$ ----> represent the 100%

4 0

3 years ago

2x + 25x9 +3 What would x be for it to be equal

andrey2020 [161]

Answer:

X=144

Step-by-step explanation:

2X+25×9+3=0

2X+288

2X= -288

X= -144

8 0

3 years ago

HELP PLEASE! I will rate 5 stars and give brainliest!!!

larisa86 [58]

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

$a_{n}$ = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

$a_{n}$ = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

$a_{n}$ = $a_{n-1}$ - 7 with a₁ = - 18 ← recursive formula

5 0

3 years ago