Answer:
Answer in explanation
Step-by-step explanation:
Before this we do this question let's get fimiliar with what's a function.
A function is a equation that when graphed, each input(x) correspond to one output(y). This means one inputs can't map to the diffrent output.
The vertical line test is just puting a vertical line anywhere on the function. If the vertical line touches more than two points your graph is not a function. If it touches one you graph is a function. The reason is because a vertical line that touches 2 points means one x maps to two diffrent y and thats not a function.
In conclusion the graph does pass the vertical line test so it is a function.
Hope this helped!,
JoeLouis2
Answer:
57,838.4 - 57,491.9 = 346.5 miles
346.5/17.5 = 19.8 miles per gallon.
Hope this helps :-)
Step-by-step explanation:
Answer:
x = -1/2
Step-by-step explanation:
4(x + 3) = 9x + 16 + 3x
Distribute the 4
4x +12 = 9x+16+3x
Combine like terms
4x+12 = 12x+16
Subtract 4x
4x-4x+12 = 12x-4x+16
12 = 8x+16
Subtract 16
12-16 = 8x+16-16
-4 =8x
Divide by 8
-4/8 =8x/8
-1/2 =x
Hi there!
Let's solve this problem step by step!
The cost of 1 round of golf is $18
and therefore the total cost for all of the tickets is $18 ×
the amount of golf plays, mathematically $18 × g, hence 18g
The membership cost of 1 month is $250
and therefore the total cost for all of the tickets is $250 ×
the amount of months, mathematically $250 × m, hence 250m.
Now we can set up the equation. The only thing we need to do is adding up the individual functions.
Answer:
C = 250m + 18g
Answer:
18) Area= 5*5/2=25/2=12.5 unit ^2
19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Step-by-step explanation:
18. A(-3,0)
B(1,-3)
C(4,1)
AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5
AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2
BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5
so AB=BC=5
and AC^2=AB^2+BC^2
so trg ABC is an isosceles right angle triangle (<B=90)
Area= 5*5/2=25/2=12.5 unit ^2
19. A(a,a)
B(-a,-a)
C(-V3a, V3a)
AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2
AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2
BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2
so AB=AC=BC
Area=AB^2V3/4=8a^2*V3/4=2V3a^2
