Answer:
9 games
Step-by-step explanation:
If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.
This means he spent 12.5x for x number of games.
His total spending will be 12.5x + 20. He has $17.50 left on the card from $150.
150 - (12.5x + 20) = 17.5
150 - 12.5x -20 = 17.5
130 - 12.5x = 17.5
-12.5x = 17.5 - 130
-12.5x = -112.5
x = 9
Answer:
D. y²/5² - x²/8² = 1
Step-by-step explanation:
A and B are both incorrectly oriented, and D is the only hyperbola that contains the points (0,5) and (0,-5).
Verification (0,5) and (0,-5) are in the hyperbola:
First replace x and y with corresponding x and y values (We will start with x=0 and y=5)
Then simplify.
If the result is an equation (where both sides are equal to each other) then the original x and y values inputted are valid. The same is true with x and y inputs x=0 and y=-5, or any other point along the hyperbola.
Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=<u>4</u>
m<A=5x=5*4=<u>20°</u>
m<B=17x+2=17*4+2=68+2=<u>70°</u>
<u>Check</u>
A+B=90°
20+70=90°
<u>90°=90°</u>
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=<u>92</u>
m<A=x+11=92+11=<u>103°</u>
m<B=x-15=92-15=<u>77°</u>
<u>Check</u>
A+B=180°
103+77=180°
<u>180°=180°</u>
Ok so substitute the values. a=3 b=2 and c=-3
-3^(2)-3(2)^(3)+(-3)^(2)+2(2)^(3)-(-3)^(2)=-9-24+9+16-9=-33+25-9=-42+25=-17
Answer:
See below ↓
Step-by-step explanation:
The relation is :
- Let y = Motor Speed and x = Voltage
- y = 25x
<u>Title</u> : Variation of Motor Speed with Applied Voltage
<u>x-axis label</u> : Voltage (volt)
<u>y-axis label</u> : Motor speed (rpm)
As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.
