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Rasek [7]
3 years ago
12

if a line crosses the y-axis at (0, 1) and has a slope of `4/5`, what is the equation of the line? A. 4y − 5x = 5 B. y − 4x = 5

C. 5y + 4x = 5 D. 5y − 4x = 5
Mathematics
2 answers:
slamgirl [31]3 years ago
5 0

Answer:

option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}, then equation  of line is 5y - 4x = 5.

Step-by-step explanation:

Given : if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}.

We need to find the equation of line.

Equation of line is of the form y = mx + c, where m is the slope of line and c is the y- intercept. that is the point where line meets y- axis.

Given y intercept at (0, 1 ) ⇒ c = 1

Also, slope m = \frac{4}{5}

Substitute it in equation,  we get ,

y = mx + c ⇒  y=\frac{4}{5}x+1

Solving , we get equation of line as ,

5y = 4x + 5 ⇒ 5y - 4x = 5

Thus, option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}, then equation  of line is 5y - 4x = 5.

Colt1911 [192]3 years ago
5 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

From question statement, we observe that

Slope is given and  a point is given .

slope =  4/5   and point is (0,1)

y = mx+c is equation of line where m is slope and c is y-intercept.

y-intercept is a point where the value of x is zero.

hence, y-intercept = c = 1

Putting the given values in formula, we have

y = (4/5)x+1

y =( 4x+5) / 5

5y = 4x+5

Adding -4x to both sides of above equations, we have

5y-4x = 4x+5-4x

5y-4x = 5 is equation of line that crosses the y-axis at (0,1) and has a slope of 4/5.

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Answer:

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Step-by-step explanation:

The final answer asks for price/cup, as "per" means "divided by".

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In order to get from gallons to cups, we need to convert units.

In 1 gallon, there are 16 cups.

So, our conversion factor will be 16 cups/1 gallon.

\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98$/cup

Important things to note:

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Vanyuwa [196]

Answer:

She ordered 80 carnations, 50 roses, and 70 daisies.

Step-by-step explanation:

Let x = number of carnations, y = number of roses, and z = number of daisies.  This problem gives us three equations.

 

First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.

Therefore,

1.50x + 5.75y + 2.60z = 589.50

 

Second, the sum of the numbers purchased is the total bought. Therefore,

x + y + z = 200

 

Finally, there are 20 fewer roses than daisies. Therefore,

y = z - 20

 

If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.

 

1.50x + 5.75(z - 20) + 2.60z = 589.50

1.50x + 5.75z - 115 + 2.60z = 589.50

1.50x + 8.35z = 704.50

 

x + (z - 20) + z = 200

x + 2z - 20 = 200

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If you solve the rewrite second equation for x, you get x = 220 - 2z.  Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.

 

1.50 (220 - 2z) + 8.35z = 704.50

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330 + 5.35z = 704.50

5.35z = 374.50

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If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.

 

She ordered 80 carnations, 50 roses, and 70 daisies.

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