Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
The density of the liquid is 1.55 g/mL.
Given the following data:
Mass of liquid = 22.8 grams
Volume of liquid = 14.7 mL
To find the density (unknown) of the liquid:
Density is mass all over the volume of a substance or an object. Thus, density is mass per unit volume of an object.
Mathematically, the density of a substance is given by the formula;
Substituting the values into the formula, we have;
Density = 1.55 g/mL
Therefore, the density of the liquid is 1.55 g/mL.
Read more: brainly.com/question/18320053
Answer:
x= -6
Step-by-step explanation:
y=4x-6
y=5x, so where ever you see y, put 5x there.
hence, 5x=4x-6
5x-4x=-6
x= -6
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
