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MArishka [77]
4 years ago
5

If a line crosses the y-axis at (0,1) and has a slope of 4/5, what is the equation of the line ?

Mathematics
1 answer:
stepladder [879]4 years ago
6 0
The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).  We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:

y=4x/5+1  now to rearrange into standard form ax+by=c

y=(4x+5)/5

5y=4x+5

5y-4x=5

So the answer is D.

However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.

5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:

4x-5y=-5

Apparently whomever/whatever posed this question to you was unaware of this convention :P
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Find the solution of y = 6x + 1 for x = 5.
Fudgin [204]
The solution is D.
By plugging the x value, 5, into the equation:
6*5=30
30+1=31
y=31
the x value is 5 and the y value is 31
(5, 31)
hope that helps!
7 0
3 years ago
Read 2 more answers
The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent
solniwko [45]

The answer is 15x + 15

Each person needs to pay x dollars per hour, and also 3 dollars for a helmet

Let us convert this into a pseudo-expression:

1 person = (x dollars) x (y hours) + 3 dollars

Now, it says that there are 5 people, so we need to multiply both sides by 5

5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars

Furthermore, it says that each person wants to go horseback riding for 3 hours:

5 people = 5(x dollars) x (3 hours) + 15 dollars

Now, we just need to convert this into an expression

5 people = 5(x)(3) + 15

5 people = 15x+15

They want the expression for cost, so we just need to give them

15x + 15

5 0
3 years ago
I need help with this please
umka21 [38]

Answer:

4 number

Step-by-step explanation:

number of apples purchased to the cost of the apples

5 0
2 years ago
A biker’s speed is 1.5 times faster than a walker’s speed. They start moving simultaneously in the same direction from the same
worty [1.4K]
Let the walker’s speed be W, then the biker’s is W+1.5W=2.5W. Difference in speed is 1.5W. Distance=speed times time, so 12.5=1.5W×1.5=2.25W, and W=12.5/2.25=1250/225=50/9=5.56 mph. The biker’s speed is 2.5W=125/9=13.89 mph to 2 Dec places.
(Note: “1.5 times faster than a walker’s speed” could not reasonably mean the biker’s speed=1.5W because this would give W=16.67 mph, which is very fast for a runner, let alone a walker (!), and a biker’s speed of 25mph.)
5 0
3 years ago
Read 2 more answers
Find the value of each determinant
Ksenya-84 [330]

Answer:

−4304

Step-by-step explanation:

1. The given determinant is :

\begin{vmatrix}7 &31 \\  142& 14\end{vmatrix}

We need to find its determinant . It can be solved as follows :

\begin{vmatrix}7 &31 \\  142& 14\end{vmatrix}=7(14)-142(31)\\\\=-4304

So, the value of determinant is equal to −4304.

6 0
2 years ago
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