Is this correct and if not can you please help me?

Given:

The points are (0,3) and (1,-1).

To find:

The equation of line passes through these points.

Solution:

Standard form of a line is

[tex]Ax+By=C[/tex]

We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (0,3) and (1,-1), so the equation of the line is

[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]

[tex]y-3=\dfrac{-4}{1}(x)[/tex]

[tex]y-3=-4x[/tex]

Adding 4x and 3 on both sides, we get

[tex]4x+y=3[/tex]

Therefore, the standard form of the line is [tex]4x+y=3[/tex].

Answer:

cost of each bottle of juice is $0.77

Step-by-step explanation:

Let the cost of 1 bottle be $x

multiplying both side by 3

then cost of 3 bottle will be 3*$x = $3x

given that

total cost of 3 bottles =  $2.31

thus

3x = 2.31

dividing both side by 3

x = 2.31/3 = 0.77

Thus, cost of each bottle of juice is $0.77

Answer:

$0.77 for each bottle of juice

Step-by-step explanation:

Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.

So,

2.31/3 = 0.77

Thus, $0.77 for each bottle of juice

-TheUnknownScientist

Answer:

1,=(6x-8)(x+1)

=6x²+6x-8x-8

=6x²-2x-8

2,=(6x+8)(x-1)

=6x²-6x+8x-8

=6x²+2x-8

3,=(6x+1)(x-8)

=6x²-42x+x-8

=6x²-41x-8

Answer:

second option

Step-by-step explanation:

Expand the factors using FOIL

1

(6x - 8)(x + 1) = 0

6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8

2

(6x + 8)(x - 1) = 0

6x² + 2x - 8 = 0 ← True

3

(6x + 1)(x - 8)

= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0

Thus the factored form is

6x² + 2x - 8 = 0

(6x + 8)(x - 1) = 0 → second option

Answer:

8

Step-by-step explanation:

pytherogream triple or smth

17,15,8

225+64=289

Answer:

The  decision rule is

Fail to reject the null hypothesis

The conclusion is  

    The is no sufficient evidence to support the claim that the less than 1% of the cards are defective

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 600[/tex]

      The population proportion of defective samples is p =  0.01

       The sample proportion of defective samples is  [tex]\^ p = 0.03[/tex]

       The level of significance is [tex]\alpha = 0.01[/tex]

The null hypothesis is [tex]H_o : p = 0.01[/tex]

The alternative hypothesis is  [tex]H_a: p < 0.01[/tex]

      Generally the test statistics is mathematically represented as

                  [tex]t = \frac{\^ p - p }{ \sqrt{ \frac{p( 1 - p )}{n} } }[/tex]      

=>              [tex]t = \frac{0.03 - 0.01 }{ \sqrt{ \frac{0.01( 1 - 0.01 )}{600} } }[/tex]

=>              [tex]t = 0.00406[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.00406   is

         [tex]p-value = P(Z < 0.00406 ) = 0.50162[/tex]

comparing the p-valve and the level of significance we see that the

           [tex]p-value > \alpha[/tex]     hence  

The  decision rule is

Fail to reject the null hypothesis

The conclusion is  

    The is no sufficient evidence to support the claim that the less than 1% of the cards are defective

Answer:

There were 46 customers who ate at the restaurant.

Step-by-step explanation:

First we need to subtract the total by how much the ban was paid to perform.

$142 - $50 = $92

$92 ÷ 46 = $2

Answer:

Asi takhle

..........

Answer:

yes, that's correct!

Step-by-step explanation:

Answer:

6x+3

Step-by-step explanation:

If the slope is greater than one, it would have a positive slope and it is moving vertically up the y axis.

If the slope is equal to one, Guessing that the y axis is counting by 1 you could tell the slope is 1 by looking to see if first, it is moving positively up the y axis or look at what points it is intersecting. If it's counting every 1 point (For example) If the start of the slope began on the origin (0, 0) than it should count (0, 0) - (1, 1) - (2, 2) - (3, 3) etc..

Now the more "confusing" one. if the slope is less than one it can be a flat line on the graph. Not negative nor positive, Its neutral. You can also tell if its positive if it is moving down the graph, Negatively.  or if it is moving into a different quadrant from. (0, 0)

The different fonts are the different answers, i hope this helped.

Answer:

4

Step-by-step explanation:

Answer:

i) The probability of getting 50 cent coin is 5/18, or approximately 28%

ii) To scale the numbers up to let us have 65 fifty cent coins, there would be a total of 234 coins

Step-by-step explanation:

We are told the probability of choosing ten and 20 cent coins, and from that we can work out the probability for the 50 cent coin.  All we need to do is add up the other two probabilities and subtract them from 1.

[tex]p = 1 - (\frac{1}{3} + \frac{7}{18})\\p = 1 - (\frac{6}{18} + \frac{7}{18})\\p = 1 - \frac{13}{18}\\p = \frac{5}{18}\\[/tex]

So the chance of getting a 50 cent coin is five eighteenths, or approximately 28%

For the second question We are asked to find the total number of coins if there are 65 fifty cent coins. (I can't see the text below that, but presumably it's saying that the ratios will stay the same).

We can solve this by comparing the two ratios, with x as the total, and solving for x:

[tex]\frac{5}{18} = \frac{65}{x}\\5x = 65 * 18\\x = 13 * 18\\x = 234[/tex]

So to keep the same ratios and have 65 fifty cent coins, we would need a total of 234 coins.

Answer:

The answer is "90 kg stone ".

Step-by-step explanation:

Adam's got:

[tex]\to 8 \times 25 = 200 \\\\\to 19 \times 22.5 = 427.5 \\\\\to 20 \times 50 = 1000 \\\\[/tex]

He's got enough sand and cement  

The stone value:

[tex]\to 1090-1000 = 90 \ kg[/tex]  

He has 2 stone bags.

Step-by-step explanation:

use phytagoras theorem to find the length of broken post

[tex] \sqrt{ {7}^{2} } + {10}^{2} [/tex]

[tex] \sqrt{49 + 100} [/tex]

[tex] \sqrt{149} [/tex]

[tex] = 12.2[/tex]

add the broken post with the standing

= 7 + 12.2

=19.2

Answer:

4 different sums

Step-by-step explanation:

There are two ways to form a sum: either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us our answer of [tex]$3+1=\boxed{4}$[/tex] .

Hope this helped! :)

The difference sum of money that should be possible is 4.

The following information should be considered:

= 3 + 1

= 4

Learn more: brainly.com/question/16911495

Answer:

Yes this is right (Hope this helps)

Step-by-step explanation:

(Brainliest)

Answer:

D. All real numbers

5x³y+10xy²

we can factorise

5xy(x^2+2y)

Answer:

Y= 2/4x + -3

Step-by-step explanation:

Answer

dookie but

Step-by-step explanation:

dookie in my dookie x 3 =  dookie

Answer:

Step-by-step explanation:a or b ?

Answer:

__________-3<Y<4______________

Answer: y= 2/3x+4

Step-by-step explanation:

Answer:

(0, 8) on the first question and 4 on the second question

Answer:

[tex]4w^{2} -49[/tex]

Step-by-step explanation:

Expand  (2w+7)(2w−7)

2w(2w-7)+7(2w-7)

2w(2w)+2w*-7+7(2w-7)

2w(2w)+2w*-7+7(2w)+7*-7

The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55.

Let x be the cost of hamburgers and y be the cost of hot dogs. Then the equation will be

x + y = 17.65                ...1

22x + 39y = 511.55     ...2

Solve the equations, then we have

22(17.65 - y) + 39y = 511.55

388.3 - 22y + 39y = 511.55

17y = 123.25

y = $7.25

Then the value of x will be

x + 7.25 = 17.65

x = 17.65 - 7.25

x = $10.40

The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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