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sleet_krkn [62]
3 years ago
12

Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?

Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Answer:

x - intercept = 8

y - intercept = 4

Step-by-step explanation:

In order to to find x- intercept, plug y = 0, in the given equation of line.

\frac{1} {2} x+y = 4\\\\\frac{1} {2} x+0 = 4..(plug \: y = 0)\\\frac{1} {2} x = 4\\x = 2\times 4\\x = 8\\\huge \red {\boxed {\therefore x-intercept = 8}}

In order to to find y- intercept, plug x = 0, in the given equation of line.

\frac{1} {2} x+y = 4\\\\\frac{1} {2} \times 0+y = 4..(plug \: x = 0)\\0+y = 4\\y = 4\\\huge \purple {\boxed {\therefore y-intercept = 4}}

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What is the equation of the line that is perpendicular to y=2x+4 and passes through the points (4 6)
Anuta_ua [19.1K]

Answer:

y=-0.5x+8

Step-by-step explanation:

Opposite reciprocal of 2: -0.5

6=-0.5*4+b

6=-2+b

b=8

6 0
3 years ago
Solve the system by elimination 1: x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5
Kryger [21]
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x -  y    + 5 z = -9
---------------------------
       - 11 y + 13 z = 11  /  * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
   2 x - 10 y - 5 z = 0
-----------------------------
         - 20 x + 3 z = 20  /  * 11
        ----------------------------------
         220 y - 260 z = -220
        - 220 y + 33 z = 220
        ------------------------------
                       z = 0,      y = -1,        x = - 5
2 )  
       2 x - y + 5 = -4
       - 2 x + 3 y - 5 = - 10
       Substitution: y = 2 x + 9
       - 2 x + 3(2 x + 9 ) = -5
        4 x = - 32,          x = -8,    y = -7,   z = 5
3 )
      x + y + z = 11
   1.5 x+3 y +1.5 z = 21
      x = 2 y
   ------------------------
      3 y + z = 11  / * (-2)
      6 y + 1.5 z = 21
    ------------------------
     - 6 y - 2 z = -22
       6 y + 1.5 z = 21
      ------------------------
                 -0.5 z = -1,           z = 2,   y = 3,   z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins. 
           
8 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w
leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

f(x)=6+30x

now we can proceed to solve the cost of the walk for 45 minutes

\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}

now we can input the value into the equation and know the cost for 45 minutes walk

\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0
1 year ago
Is the answer 4? I’m not sure if it’s right
kkurt [141]

Answer:

yes im pretty sure correct me if im wrong. Good luck!!!!!

Step-by-step explanation:

4 0
3 years ago
Find the length of x 10/15=x/20
gayaneshka [121]

I think 40/3 is the answer you’re looking for.

4 0
3 years ago
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