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3 years ago

Which is a solution of the equation y = 2x + 5? (1 point)

Mathematics

2 answers:

svetoff [14.1K]3 years ago

5 0

Answer:

(3, 11) is a solution of the equation y = 2x + 5.

Step-by-step explanation:

Example: determine whether or not (5, 20) satisfies the equation y = 2x + 5:

If we substitutte 5 for x, do we get 20? y = 2(5) + 5 = 15. NO. (5, 20) is not a solution of the equation y = 2x + 5.

Next: Let x = 6. Does y take on the value 12? y = 2(6) + 5 = 17. NO. (6, 12) is not a solution of the equation y = 2x + 5.

Next: Let x = 3. Does y take on the value 11? y = 2(3) + 5 = 11. YES, (3, 11) is a solution of the equation y = 2x + 5.

miv72 [106K]3 years ago

3 0

Answer:

(3, 11 )

Step-by-step explanation:

To determine which point is a solution to the equation.

Substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it is a solution.

(5, 20)

y = 2(5) + 5 = 10 + 5 = 15 ≠ 20 ← not a solution

(6, 12)

y = 2(6) + 5 = 12 + 5 = 17 ≠ 12 ← not a solution

(3, 11)

y = 2(3) + 5 = 6 + 5 = 11 ← this is a solution

(4, 14)

y = 2(4) + 5 = 8 + 5 = 13 ← not a solution

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It takes a boat 3 hours to travel 45 miles downstream and 4 hours to travel 44 miles upstream.

krok68 [10]

Answer:

2 miles per hour

Step-by-step explanation:

We use the distance formula. D = r * t

45/3 = 15 mph | Trip 1 |

44/4= 11mph | Trip 2 |

15-11 = 4 mph difference traveling upstream or downstream. Thus the speed of the current is 2 miles per hour.

6 0

3 years ago

rewrite the standard form equation below into slope-intercept form. x-2y=3 A. y=x+3 By=-3/2x-1/2 C.y=3/2x-1/2 D.y=1/2x-3/2

quester [9]

Let us start converting!

$x-2y=3 \ \textgreater \ \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides} \ \textgreater \ x-2y-x=3-x$

$-2y=3-x \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-2 \ \textgreater \ \frac{-2y}{-2}=\frac{3}{-2}-\frac{x}{-2}$

$\frac{-2y}{-2} \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ \frac{-a}{-b}=\frac{a}{b} \ \textgreater \ \frac{2y}{2}$

$\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1 \ \textgreater \ y$

$\frac{3}{-2}-\frac{x}{-2} \ \textgreater \ \mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \ \frac{3-x}{-2}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\ \textgreater \ -\frac{-x+3}{2} \ \textgreater \ y = -\frac{3-x}{2}$

$Therefore... y=\frac{1}{2}x-\frac{3}{2} (Note: m=\frac{1}{2},\:b=-\frac{3}{2})$

M is the slope and b is the y intercept.

Hope this helps!

8 0

3 years ago

37. What is the slope of the equation ?<br>-3<br>y = x + 2<br><br>HELP! answer if you can!

Serhud [2]

Answer:

<h2>Slope =1</h2>

Step-by-step explanation:

Method 1 : Standard form method

$y = x + 2\\\mathrm{Convert\:to\:standard\:form}:\quad x-y=-2\\\\\mathrm{Slope}\:\mathbf{m}\:\mathrm{of\:a\:line\:of\:the\:form}\:\\\mathbf{Ax+By=C}\:\mathrm{equals}\:\mathbf{-\frac{A}{B}}\\\\\mathbf{A}=1,\:\mathbf{B}=-1\\m=-\frac{1}{-1}\\m=1$