well, the difference is 21330 - 19700 = 1630.
now, if we take 21330 as the 100%, what is 1630 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 21330&100\\ 1630&x \end{array}\implies \cfrac{21330}{1630}=\cfrac{100}{x}\implies \cfrac{2133}{163}=\cfrac{100}{x} \\\\\\ 2133x = 16300\implies x=\cfrac{16300}{2133}\implies x \approx 7.64[/tex]
Answer:
Change in the price of the car was 7.64%
Step-by-step explanation:
Cindy bought a car for $21330.
After few years she sold the car for $19700.
Net loss she suffered = Selling price - Cost price
= 21330 - 19700
= $1630
Now the percent change in the value will be = [tex]\frac{\text{Difference in the price}}{\text{Cost price of the car}}\times 100[/tex]
= [tex]\frac{1630}{21330}\times 100[/tex]
= 7.64%
Therefore, change in the price of the car was 7.64%
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common labeled AB.
A
[tex]y \leqslant - 2 + 3 \\ y \leqslant x + 3[/tex]
B
[tex]y \geqslant - 2x + 3 \\ y \geqslant x + 3[/tex]
C
[tex]y \leqslant - 3x + 2 \\ y \leqslant - x + 2[/tex]
D
[tex]y > - 2x + 3 \\ y > x + 3[/tex]
Answer:
[tex]\large\boxed{A.\ y\leq-2x+3,\ y\leq x+3}[/tex]
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below the line
>, ≥ - shaded region above the line
=============================================
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points:
(0, 3) - y-intercept → b = 3 (for both lines)
f(x)
(0, 3), (1, 1)
[tex]m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2[/tex]
Substitute:
[tex]f(x):\ y=-2x+3[/tex]
The shaded region is below the solid line. Therefore: [tex]y\leq-2x+3[/tex]
g(x):
(0, 3), (2, 5)
[tex]m=\dfrac{5-3}{2-0}=\dfrac{2}{2}=1[/tex]
Substitute:
[tex]g(x):\ y=1x+3=x+3[/tex]
The shaded region is below the solid line. Therefore: [tex]y\leq x+3[/tex]
Answer:
b
Step-by-step explanation:
Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
The LARGEST angle has a measure of ___ degrees.
Answer:
62 DEGREES
Step-by-step explanation:
TWO ANGLES=2A
LARGEST ANGLE=A+3
2A+A+3=180
3A=180-3=177
A=177/3=59
LARGEST ANGLE=59+3=62
Answer:
The Largest Angle angle has a measure of 62 degrees.
Step-by-step explanation:
In triangle ABC, angle ABC equals to angle ACB.
and BAC is the largest angle.
Let angle measure of ABC and ACB angles be "x" degree.
then, measure of third angle i.e BAC will be "x + 3" degrees.
Since sum of all angles of any triangle is 180 degree.
so, first angle + second angle + third angle = 180
x + x + (x + 3) = 180
3x = 180 - 3
3x = 177
x = 59 degrees
So, First angle = 59 degree
Second angle = 59 degree
Third Angle = 62 degree.
The Largest Angle angle has a measure of 62 degrees.
Factor completely
abb + abc
Idek how to factor letters
Answer:
ab( b+c)
Step-by-step explanation:
abb +abc
There is an a and b in each term
What remains goes inside the parentheses
ab( b+c)
Answer:
ab(b+c)
Step-by-step explanation:
Take out each variable like you would any other number
abb+abc
ab(b+c), This is the answer, with the distributive property, you can convert it back to its original form.
ab*b+ab*c=ab^2+abc
help can’t find the answer
Answer:
Volume= 82.4in³
Step-by-step explanation:
Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic"
To find the volume of sphere, we will use the following formula of Volume:
Volume = 4/3 πr³
Put the values in the formula:
As we know that the value of π is 22/7 or 3.14
Radius = 2.7
According to the formula:
Volume = 4/3 * 3.14 *(2.7)³
Volume= 4/3* 3.14(19.683)
Volume=4/3(61.80462)
Volume=247.21848/3
Volume= 82.4in³....
What is the value of k?
Answer:
i thought its -9
Step-by-step explanation:
x / x-2=x-k / x-4x /x=x-k/x-4+2cut x/x of first side
k=x/x-6now cut x/x
k=-63=-6-6-3-9Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Answer:
Part 1) [tex]c=21.9\ units[/tex]
Part 2) [tex]B=61.1\°[/tex]
Part 3) [tex]A=28.9\°[/tex]
Part 4) [tex]C=90\°[/tex]
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
substitute the given values
[tex]c^{2}=10.6^{2}+19.2^{2}[/tex]
[tex]c^{2}=481[/tex]
[tex]c=21.9\ units[/tex]
step 2
Fin the measure of angle B
we know that
In the right triangle
[tex]tan(B)=b/a[/tex]
substitute the given values
[tex]tan(B)=19.2/10.6[/tex]
[tex]B=arctan(19.2/10.6)=61.1\°[/tex]
step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have
[tex]B=61.1\°[/tex]
[tex]C=90\°[/tex]
substitute
[tex]A+61.1\°+90\°=180\°[/tex]
[tex]A=28.9\°[/tex]
Answer:
A = 28.9 degrees, B = 61.1 degrees, c = 21.9
Step-by-step explanation:
I got it correct on founders edtell
How do you divide something like this?
Answer:
So [tex]\frac{x^2-12x+8}{x-5}=(x-7)+\frac{-27}{x-5}[/tex]
Step-by-step explanation:
Since we are dividing by a linear factor, I'm going to use synthetic division.
Since the linear factor that we are dividing by is (x-5), I'm going to put 5 on the outside:
5 | 1 -12 8
| 5 -35
|--------------------------
1 -7 -27
So the quotient x-7 while the remainder is -27.
So [tex]\frac{x^2-12x+8}{x-5}=(x-7)+\frac{-27}{x-5}[/tex]
You could do long division if you prefer:
x-7
------------------------
(x-5) | x^2-12x+8
- (x^2-5x)
--------------------------
-7x+8
-(-7x+35)
---------------------
-27
You still get the same thing that the quotient is x-7 and the remainder is -27.
Mellisa is an expert scuba diver.she's down in the Pacific Ocean, looking for a rare type of sunfish. At one point, she is 29 meters below the surface of the water.
A. As she swims around for the fish, she swims for 12 mins and rises upward by 15 meters. What is her final depth at the end of the 12 minutes?
B. Later in her dive, Mellisa is at a depth of 40 meters. She decides to rise toward the surface very slowly. Every minute, she rises 2 meters. If she does this for eight minutes, what is her depth?
Answer:
A. 14 meters
B. 24 meters
Step-by-step explanation:
A. Mellisa starts at 29 meters deep, then rises 15 meters. So her final depth is 29 − 15 = 14 meters.
B. Melissa starts at 40 meters deep, then rises 2 m/min for 8 minutes. That means she rises a total distance of 2 × 8 = 16 meters. So her final depth is 40 − 16 = 24 meters.
Answer:
At one point, Mellisa is 29 meters below the surface of the water.
A.
As she swims around for the fish, she swims for 12 mins and rises upward by 15 meters.
So, her final depth at the end of the 12 minutes = [tex]29-15=14[/tex] meters
B.
Mellisa is at a depth of 40 meters. Every minute, she rises 2 meters.
So, in 8 minutes she will rise [tex]2\times8=16[/tex] meters
Her depth will be = [tex]40-16=24[/tex] meters
A Large school wants to put a clock in each of its 224 classrooms
The clocks are sold in packs of 14.
How many packs of clocks should the school buy?
Answer:
16 packs
Step-by-step explanation:
u just have to divide 224 by 14 to get 16
the school wants to get 224 clocks, they clocks come in packs of 14, so each pack has 14 clocks, how many packs are needed?
well, how many times does 14 go into 224? 224 ÷ 14, and you know what that is.
For 1-Z; the local craft store charges a
registration fee of $10 and $5.50 per
class.
1. Which expression can be used to
determine the total charge, in
dollars, to participate inx number
of classes?
[tex]\huge{\boxed{5.5x+10}}[/tex]
We multiply the class fee by the number of classes. [tex]\bf{5.5x}[/tex]
A registration is a one-time fee, so it is simply added. [tex]5.5x \bf{+10}[/tex]
Which function describes this graph?
—
10
А. y = (х – 4 )(х - 4)
В. у = х2 - 2x +6
оооо
ос. у = х2 + 8х +12
D. у = (х-2)(х – 6).
Answer:
C. y = x2 + 8x + 12
Step-by-step explanation:
To find x intercept/zero, substitute y = 0
0 = x^2 + 8x + 12
x^2 += 8x + 12 = 0
x^2 + 8x + 12 = 0
Solve the quadratic equation
ax^2 + bx + c = 0 using x = -b±[tex]\sqrt{b^2 -4ac[/tex] / 2ax = -8±[tex]\sqrt{8^2 -4(1)(12)[/tex] / 2(1)x = -8±[tex]\sqrt{8^2 -4(12)[/tex] / 2(1)
any expression multiplied by 1 remains the same
x= -8±[tex]\sqrt{8^2 - 4(12)[/tex] / 2(1)
Evaluate the power
8^2
write the exponentiation as a multiplication
8(8)
multiply the numbers
64
x = -8±[tex]\sqrt{64 - 4(12)[/tex] / 2(1)
multiply the numbers
x = -8±[tex]\sqrt{64 - 48[/tex] / 2(1)
any expression multiplied by q remains the same
x = -8±[tex]\sqrt{64-48[/tex] /2
subtract the numbers
x = -8±[tex]\sqrt{16[/tex] / 2
calculate the square root
x= -8± 4 / 2
x= -8 + 4 / 2
x= -8 - 4 / 2
simplify the expression
x = -2
x = -8 - 4 / 2
x = -2
x = -6
final solutions are
x1 = -6, x 2 = -2
What is the truth value for the following conditional statement?
If the grass is red, then the snow is white.
T T → F
F T → T
F T → F
T F → T
Answer: the correct option is
(B) F T → T.
Step-by-step explanation: We are given to find the truth value of he following conditional statement :
"If the grass is red, then the snow is white."
Let us consider that
p : the grass is red. This is a false statement
and
q : the snow is white. This is a true statement.
So, we get
p → q
F → T, which is true (T).
Thus, the required answer is F T → T
Option (B) is CORRECT.
A classroom floor has an area of
(30x3 + 8x2) ft, with a width of 2x feet.
What is the length of the floor?
Answer:
The length of the floor is [tex](15x^{2}+4x)\ ft[/tex]
Step-by-step explanation:
we know that
The area of a rectangle ( classroom floor) is equal to
[tex]A=LW[/tex]
in this problem we have
[tex]A=(30x^{3}+8x^{2})\ ft^{2}[/tex]
[tex]W=2x\ ft[/tex]
substitute in the formula and solve for L
[tex](30x^{3}+8x^{2})=2x(L)[/tex]
Divide by 2x both sides
[tex]L=(15x^{2}+4x)\ ft[/tex]
14. Solve this system of equations:
4x + 2y = 22
3x – 2y = 13
Answer:
(x,y)= (5,1)
Step-by-step explanation:
4x+2y=22
3x-2y=13
2y=22-4x
3x-2y=13
3x-(22-4x)=13
x=5
3·5-2y=13
y=1
(x,y)= (5,1)
Answer:
(5, 1); x = 5 and y = 1.
Step-by-step explanation:
Step 1: Add the system of equations
4x + 2y = 22
3x - 2y = 13
-----------------------------
7x = 35
Step 2: Solve for x
x = 5
Step 3: Substitute the value of x in one of the original equations
4(5) + 2y = 22
Step 4: Solve for y
20 + 2y = 22
2y = 2
y = 1
Step 5: Write your answer as an ordered pair
(5, 1)
In the number 2010, the value represented by the digit 1 is what fraction of the value represented by the digit 2?
Answer:
Step-by-step explanation:
The two represents 2000
The one represents 10
The fraction you want is 10/2000 = 1/200 or 0.005
The value represented by the digit 1 in the number 2010 is 1/200 of the value represented by the digit 2. This is determined by comparing their place values, with 1 in the tens place and 2 in the thousands place.
To determine the value represented by the digit 1 in the number 2010, we need to understand place value.
→ The digit 1 is in the tens place, so its value is 10 (1 × 10).
→ The digit 2 is in the thousands place, so its value is 2000 (2 × 1000).
The fraction of the value represented by the digit 1 to the value represented by the digit 2 is calculated as follows:
→ Fraction = Value of digit 1 / Value of digit 2
= 10 / 2000
= 1/200
Therefore, the value represented by the digit 1 is 1/200 of the value represented by the digit 2 in the number 2010.
Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank offers a monthly compounded interest rate of 0.14%, while Sunrise Banking offers 1.6% interest compounded annually. Which is the better plan? Explain.
(SHOW WORK)
Answer:
The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.
Step-by-step explanation:
Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.
Monthly compound interest rate = P(1+r/n)^nxt
n=12 (number of months in a year)
t=1 (number of years)
Annually compound interest rate = P(1+r/n)^nxt
n=1 (because it is for 1 year only)
t=1 (number of years=1)
Step 2 : Lets assume that P is $100 in both banks and time is 1 year.
Step 3 : Lets substitute the values to find out which one is better.
Monthly compound interest rate = P(1+r/n)^nxt
Monthly compound interest rate = 100(1+0.14/12)^12x1
Monthly compound interest rate = 114.93
114.93 - 100 = $14.93 per month
14.93 x 12 = $179.16 for 12 months or 1 year
Annually compound interest rate = P(1+r/n)^nxt
Annually compound interest rate = 100(1+1.6/1)^1x1
Annually compound interest rate = 260
260-100 = $160 for 1 year
Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.
!!
Answer:
The Unity Bank is offering a good plan.
Step-by-step explanation:
Unity Bank offers a monthly compounded interest rate of 0.14%
So, yearly rate will be = [tex]0.14\times12=1.68[/tex]% or 0.0168
Sunrise Banking offers 1.6% or 0.016 interest compounded annually.
Lets check an example with these two rates.
The compound interest formula is = [tex]A=P(1+r/n)^{nt}[/tex]
Lets take P = $1000 and t = 1 year
Case 1: when r = 1.68% and n = 12
Putting the values in formula we get
A = [tex]1000(1+0.0168/12)^{12}[/tex]
= [tex]1000(1.0014)^{12}[/tex]
A = $1016.92
Case 2: when r = 1.6% and n = 1
Putting the values in formula we get
A = [tex]1000(1+0.016/1)^{1}[/tex]
= [tex]1000(1.016)^{1}[/tex]
A = $1016.00
So, we can see that the first case gives more return than second one.
Therefore, the Unity Bank is offering a good plan.
Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?
Answer:
-9-3/1-(-7)
Step-by-step explanation:
Answer:
The slope of given line = -3/2
Step-by-step explanation:
Points to remember
slope of the line with end points (x1, y1) and (x2, y2) is given by,
Slope = (y2 - y1)/(x2 - x1)
To find the slope of the line
Here (x1, y1) = (-7, 3) and (x2, y2) = (1, -9)
Slope = (y2 - y1)/(x2 - x1)
= (-9 - 3)/(1 - -7)
= (-12)/8
= -3/2
Therefore the slope of given line = -3/2
what is the range of y=log_8 x
The answer is:
Range: All the real numbers or (-∞,+∞)
Why?To solve the problem, we need to rewrite the variable "x" as "y" and the variable "y" as "x", and then, isolate "y". Then, we need to look if there is any restriction to the resulting value of "y".
We are given the function:
[tex]y=log_8(x)[/tex]
Now, rewriting we have:
[tex]x=log_8(y)[/tex]
Then, isolating we have:
[tex]8^{x} =8^{(log_8(y))}\\\\8^{x}=y[/tex]
Therefore, we can see that the resultant function is a quadratic or polynomial function, we need to remember that there is no restriction for this type of functions, it means that the range of the function is equal to the Real numbers where the values of "x" exist.
Hence, the answer is:
Range: All the real numbers or (-∞,+∞)
Have a nice day!
Note: I have attached a picture for better understanding.
Sure would help a lot
Hello There!
X = 6
First, we would add 5 to both sides so adding 5 to -5 is 0 and adding 5 to 7 is 12 so we would get the equation 2x = 12
Next, we would divide 2x by 2 and divide 12 by 2 and we would get a quotient of 6.
Our final answer is x = 6
Answer:
x=6
Step-by-step explanation:
2x - 5 = 7
Add 5 to each side
2x-5+5= 7+5
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
The radius of a cylinder construction pipe is 1.5ft . If the pipe is 13ft long what is it’s volume? Use value 3.14 for pi
Answer:
V =91.845 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi (1.5)^2 *13
Letting pi = 3.14
V = 3.14 (1.5)^2 * 13
V =91.845 ft^3
Answer:
V=91.89
Step-by-step explanation:
Given:
radius, r= 1.5 ft
height, h=13 ft
volume of cylinder= pi *r^2 *h
V=3.14 *(1.5)^2 *13
V=91.89 ft^3 !
What does it mean to simplify?
Answer:
To make something as small as possible or easier for something in particular.
Hope I helped!
7 days left until the launch of our new product and we have $668.00 left in our promotion budget we need to spend 85.00 on the last day how many dollars can we spend on the remaining days
Answer:
$97.16 per day
Step-by-step explanation:
Total amount you have = $668.00
You have to spent $85.00 on the last day.
$668.00-85.00
=$583
It means you have $583 for the remaining 6 days in the week.
If you spend equal amount of money each day , you can calculate it by dividing remaining amount and number of days
=583/6
=$97.16
It means you can spend $97.16 per day....
6. Solve the following equation for x. Show each step.
5x + 2 = 3x + 4(2x - 1)
Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
The value of x is 1 for equation 5x + 2 = 3x + 4(2x - 1).
A statement that affirms the equivalence of two expressions joined by the equals symbol "=" is known as an equation.
Given,
[tex]5x+2=3x+4(2x-1)\\[/tex]
[tex]5x+2=3x+8x-4[/tex]
On transposing like terms on one side of the equation.
[tex]5x-3x-8x=-4-2\\-6x=-6[/tex]
On multiplying -1 on both sides,
[tex]-6x\times(-1)=-6(-1)\\6x=6[/tex]
On dividing by 6 on both sides,
[tex]\frac{6x}{6}=\frac{6}{6}\\x=1[/tex]
Hence, the value of x is 1.
Learn more about equations, here:
https://brainly.com/question/1441065
#SPJ6
Divide (10m^8+4m^6+10m^5) / 2m^2
Answer:
5m^6 + 2m^4 + 5m^3
hope this works!!!!
To divide (10m⁸ + 4m⁶ + 10m⁵) by 2m², simplify each term by subtracting 2 from the exponents. The result is 5m⁶ + 2m⁴ + 5m³. The correct answer is D).
To divide (10m⁸ + 4m⁶ + 10m⁵) by 2m², follow these steps
Write the given expression: (10m⁸ + 4m⁶ + 10m⁵) / 2m².
Divide each term in the numerator by 2m² separately:
(10m⁸ / 2m²) + (4m⁶ / 2m²) + (10m⁵ / 2m²).
Simplify each term:
5m⁶ + 2m⁴ + 5m³.
The final result is 5m⁶ + 2m⁴ + 5m³.
The correct option is D).
In this division, we use the rule of exponents: when dividing terms with the same base, subtract the exponents.
The division by 2m² reduces the power of 'm' in each term by 2. So, 10m⁸ becomes 10m⁶, 4m⁶ becomes 2m⁴, and 10m⁵ becomes 5m³. The constants 10 and 4 remain unchanged. The simplified expression is the final result.
To know more about divide:
https://brainly.com/question/15381501
#SPJ2
Dimensions for an office floor plan is 15ft. By 15ft and 28ft. By 28ft. Tile runs $1 per square foot and carpeting $5 per square foot. What is the estimated total cost for the floor coverings installed
Answer:
$2520
Step-by-step explanation:
Taking the dimensions of the office floor from the plan to be;
[tex]15ft*28ft[/tex]
Area of the floor to be covered will be the product of the sides dimensions
[tex]=15*28=420ft^{2}[/tex]
Cost of putting tile on the floor
1ft²=$1
420ft²=?
=[tex]\frac{420*1}{1} =420[/tex]
=$420
Cost of putting a carpet on the floor
1ft²=$5
420ft²=?
[tex]=\frac{420*5}{1} =2100[/tex]
=$2100
Estimated cost
Total estimated cost =cost for putting tiles+cost for putting carpet
=$420+$2100=$2520
Two consecutive positive integers have a
product of 6. What are the integer?
Answer:
They are 2 and 3.
Step-by-step explanation:
2 * 3 = 6
Simplyify t^12/t^6 *PLEASE HELP*
Answer:
C
Step-by-step explanation:
In division when bases are same you do top exponent minus bottom exponent.
So here you do t^(12-6) which is t^6.
which of the following binomials below is a factor of this trinomial x(x)-13x+36
Answer:
(
x
+
4
)
(
x
+
9
)
=
0
Your answer would be x=-4 and x=-9.
Explanation::
(
x
+
4
)
(
x
+
9
)
x
times
x
=
x
2
x
(
9
)
+
x
(
4
)
=
13
x
4
times
9
=
36
=
x
2
+
13
x
+
36
Answer:
So the factors of the given are:
(x-4) and (x-9).
The factored form of the given expression is (x-4)(x-9).
Step-by-step explanation:
To factore the given quadratic with leading coefficient one, you must find two numbers that add to be and multiply to be c.
a=1
b=-13
c=36
So we need two numbers that multiply to be 36 and add to be -13.
These numbers are -4 and -9 since
(-4)(-9)=36 and -4+-9=-13.
So the factors of the given are:
(x-4) and (x-9).
The factored form of the given expression is (x-4)(x-9).
Which of the following describes a triangle?
A. One-dimensional
B. Two-dimensional
C. Zero-dimensional
D. Three-dimensional
Answer:
B
Step-by-step explanation:
A triangle has both x and y values making it 2D. A 1D object is a point, a 3D object is a cube or something, and a 0D object is nothing.
Jane and Jill want their mom to ride the rollercoaster with them, but she thinks it will be too fast. She asks the girls to find out how fast the rollercoaster will be travelling. They find out that the speed of the rollercoaster, in miles per hour, is modeled by the function g(x) = x4 - 4x2 + 7x - 8, where x is time measured in
seconds. How fast is the rollercoaster travelling at 2 seconds?
6 miles per hour
22 miles per hour
26 miles per hour
54 miles per hour
Answer:
Given that the function is a model of miles per hour with x being representative of time in seconds, you simply have to plug 2 into the equation for each x.
Therefore,
g(x) = x^4 - 4x^2 + 7x - 8
becomes
g(x) = 16 - 16 + 14 - 8 = 6 miles per hour.
So, 6 mph is your answer!!
At rate of 6 miles per hour the rollercoaster travelling at 2 seconds.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
g(x) = [tex]x^4[/tex] - 4x² + 7x - 8
where x is time measured in seconds.
Now, the speed of roller-coaster for t= 2 seconds
g(2) = [tex]x^4[/tex] - 4x² + 7x - 8
g(2) = [tex]2^4[/tex] - 4(2)² + 7(2) - 8
g(2)= 16 - 16 + 14 - 8
g(2) = 6 miles per hour.
Hence, the speed 6 miles per hour.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ5