Response:
0; 10; 20
Detailed explanation:
x serves as the independent variable
y functions as the dependent variable
the value of y relies on x
a) What is the independent variable value that makes the function result in −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Hence, when the independent variable is 0, the function yields -6.
b) What is the independent variable value for which the function equals −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Thus, if the independent variable is 10, the function will give -3.
c) What independent variable value results in a function of 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, for an independent variable of 20, the function results in 0.
Let's convert each statement into mathematical terms.
Pineapple = p
Orange = x
is indicates equality
Pineapple has a weight that is 7 times that of an orange: p = 7x
Pineapple is 870 grams heavier than the orange. p = 870 + x
Insert p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
Divide by 6
x = 145
The weight of the orange is 145 grams.
The weight of the pineapple is 7 times that of the orange = 7(145) = 1015 grams.
Response:
B. 255 m
Detailed breakdown:
utilize similar triangles
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
To address this issue, the procedure below should be utilized:
1- The Law of sines can be applied as follows:
The unknown angle can be determined by: 180°-65°-45°=70°
- The <span>distance Jake travels to the store is:
30/Sin(70°)=x/Sin(45°)
x=22.57
- The distance Maddie travels to the store is:
</span>30/Sin(70°)=y/Sin(65°)
<span> y=28.93
- The difference calculated is: 6.36
Thus, the result shows that the difference is 6.36 m.</span>
To identify the corresponding equation, you can follow these steps:
ax^2 + bx + c = 0
where a = -2
b = 1
c = 3
-2x^2 + x + 3 = 0
The right result will show as a: 0 = <span>-2x^2 + x + 3.</span>
