What is the y-intercept of the line shown? (4 points) A. 3/4 B.2 C. 3 D.4a

Answer:

y - 5 = 3(x - 1)

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (0, 2) and (1, 5) is,

m = [tex]\frac{5-2}{1-0}[/tex] = 3

Now equation of the line passing through a point (1, 5) and slope = 3 will be,

y - 5 = 3(x - 1)

Option (4) is the answer.

Answer:

y−5=3(x−1)

Step-by-step explanation:

Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

Answer:

(4, -3)

Step-by-step explanation:

It says my answers need to be at least 20 characters long so I had to write this.

Answer:

She will drive 272 miles in 4 hours.

Step-by-step explanation:

Answer:

185

Step-by-step explanation:

distance formula is d=√((x_2-x_1)²+(y_2-y_1)²

so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]

where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]

[tex](-3-5)^{2} =64[/tex]

[tex](7+4)^{2} =121[/tex]

64+121= 185

Hope this helps...sorry if i'm wrong.

Answer:

what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver

Answer:

Step-by-step explanation:

On the 2nd equation, turn the slope the -3x. This creates two parralel lines.

Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

Answer:

48s plus 12p - 18

Step-by-step explanation:

Answer:

Add 48 + 12 and Subtract the sum from 18 (14+12-18)

Step-by-step explanation:

Sorry if I'm confusing you ;(

Answer:

every 8 mins

Step-by-step explanation:

bus b

Answer:33,325,000

Step-by-step explanation:95,976,000÷2.88=33,325,000

Answer:

25/2 or 12 1/2 or 12.5

Step-by-step explanation:

Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

Answer:

Im not sure but go with 24

exterior angle = sum of its opposite interior angles

Which means :-

[tex]x + 21 + 63 = 3x[/tex]

[tex]21 + 63 = 3x - x[/tex]

[tex]21 + 63 = 2x[/tex]

[tex]84 = 2x[/tex]

[tex]2x = 84[/tex]

[tex]x = 84 \div 2[/tex]

[tex]x = 42°[/tex]

Therefore , the correct option is :-

Answer:

A.

Step-by-step explanation:

Answer:

(x-5)(2x-3)

Step-by-step explanation:

key words:

product = multiplication

minus - subraction

x-5

and = first phrase times next phrase

less than = a number minus the number before the 'less than'

twice = 2 times a number

if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).

i hope this helped :))

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

=====================================================

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

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

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

Answer:

with what? i can help you more than likely if you tell me what you need help with.

Step-by-step explanation:

Answer:

x = -56

Step-by-step explanation:

-3x + 1 = 169

      -1       -1

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

-3x = 168

Divide both sides by -3. 168/-3 = -56

x = -56

Answer:

Your answer is: x = -56

Step-by-step explanation:

Hope this helped : )

Answer:

8/5-12x

Step-by-step explanation:

-4(-2/5+3x)

Multiply each term inside the parentheses by -4

-4 * -2/5 + -4 * 3x

8/5-12x

Answer:

-1.6+12x

Step-by-step explanation:

First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x

Answer:

3.81

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x+7+7=4x+2 simplify

Resposta:

94,24 cm

Explicação passo-a-passo:

Vamos por partes.

Primeiro descobrimos o diâmetro que é igual a 2 vezes o raio:

D = 2 x raio

D = 30cm

Agora a fórmula da circunferência C = π x D

C = 3,1416 x 30

C = 94,24 cm

espero que esto ayude!

que tengas un gran día!

tener un maravilloso fin de semana!

tener un maravilloso fin de semana! :) :D :3

Answer:

24 socks

Step-by-step explanation:

The given parameters are;

The number of different colors of socks = 3

Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario

After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table

Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11

Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.

Answer:

$133

Step-by-step explanation:

Let x = amount of money she had before she spent any money.

x - 29 - 29 - 29 - 15 = 31

x - 102 = 31

x = 133

Answer: She had $133.

Answer:

she had 133$

Step-by-step explanation:

Multiply 29$ by the amount of shirts and get 87$

then add 31$, the 15$ she spent on lunch, and add the 87$ and get 133$.

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.