1 1. Find the x-intercepts for y= 2(x - 7)(x+2)?
1 answer:
You might be interested in
A function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.
<h3>What is an equation?</h3>- A relationship between two variables is defined as an equation; if we plot the graph of the linear equation, we will get a straight line.
To find a function, C(x), to model the water used by the car wash on a shorter day:
Given information -
- The water usage at a car wash is modeled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open.
- The amount of decrease in water used is modeled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.
Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.
We are trying to find:
- C(x) = W(x) - D(x)
- C(x) = (4x³ + 6x²− 11x + 7) - (x³ + 2x² + 15)
- C(x) = 4x³ - x² + 6x² - 2x³ - 11x + 7 - 15
- C(x) = 3x³ + 4x² - 11x - 8
Therefore, a function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.
Know more about equations here:
#SPJ4
The correct question is given below:
The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.
Write a function, C(x), to model the water used by the car wash on a shorter day
(a) We assume the triangle to be a right angle triangle, we can use the Pythagoras theorem to proof whether the third side could be 6 cm. Let say the side of 3cm and 4cm are the two short sides, then
The third side couldn't be 6 for a right angle triangle.
However, if the triangle isn't a right angle, we can construct a scalene triangle of 3cm, 4cm, and 6cm
(b) Similar to part (a), we assume the triangle to be a right-angle triangle, we take the hypotenuse to be 4cm and one shorter side to be 3 cm. Working out the other short side
In conclusion, we can't have a right angle triangle with sides 4cm, 3cm, and 1 cm
We, however, can construct a scalene triangle of sides 4cm, 3cm and 1 cm
The third side couldn't be 6 for a right angle triangle.
However, if the triangle isn't a right angle, we can construct a scalene triangle of 3cm, 4cm, and 6cm
(b) Similar to part (a), we assume the triangle to be a right-angle triangle, we take the hypotenuse to be 4cm and one shorter side to be 3 cm. Working out the other short side
In conclusion, we can't have a right angle triangle with sides 4cm, 3cm, and 1 cm
We, however, can construct a scalene triangle of sides 4cm, 3cm and 1 cm
Answer:
85 square inches
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo
My answer:
From the question, four congruent equilateral triangles with the following information:
- The height: 6.06 inches
- The base : 7 inches
=> The area of the quilateral triangle is:
=1/2*the base*the height
= 1/2*60.6*7
= 21.21 square inches
=> the surface area of Abby's decoration is:
= 4 * The area of the quilateral triangle
= 4*21.21
= 84.84 square inches
≈ 85 square inches
Hope it will find you well.
