Answer:
C. [tex](5-\frac{1}{2})^6[/tex]
Step-by-step explanation:
Given
[tex]15(5)^2(-\frac{1}{2})^4[/tex]
Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;
[tex]Sum = 2 + 4[/tex]
[tex]Sum = 6[/tex]
Each term of a binomial expansion are always of the form:
[tex](a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......[/tex]
Where n = the sum above
[tex]n = 6[/tex]
Compare [tex]15(5)^2(-\frac{1}{2})^4[/tex] to the above general form of binomial expansion
[tex](a+b)^n = ......+15(5)^2(-\frac{1}{2})^4+.......[/tex]
Substitute 6 for n
[tex](a+b)^6 = ......+15(5)^2(-\frac{1}{2})^4+.......[/tex]
[Next is to solve for a and b]
From the above expression, the power of (5) is 2
Express 2 as 6 - 4
[tex](a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......[/tex]
By direct comparison of
[tex](a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......[/tex]
and
[tex](a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......[/tex]
We have;
[tex]^nC_ra^{n-r}b^r= 15(5)^{6-4}(-\frac{1}{2})^4[/tex]
Further comparison gives
[tex]^nC_r = 15[/tex]
[tex]a^{n-r} =(5)^{6-4}[/tex]
[tex]b^r= (-\frac{1}{2})^4[/tex]
[Solving for a]
By direct comparison of [tex]a^{n-r} =(5)^{6-4}[/tex]
[tex]a = 5[/tex]
[tex]n = 6[/tex]
[tex]r = 4[/tex]
[Solving for b]
By direct comparison of [tex]b^r= (-\frac{1}{2})^4[/tex]
[tex]r = 4[/tex]
[tex]b = \frac{-1}{2}[/tex]
Substitute values for a, b, n and r in
[tex](a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......[/tex]
[tex](5+\frac{-1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
Solve for [tex]^6C_4[/tex]
[tex](5-\frac{1}{2})^6 = ......+ \frac{6!}{(6-4)!4!)}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+ \frac{6!}{2!!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+ \frac{6*5*4!}{2*1*!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+ \frac{6*5}{2*1}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+ \frac{30}{2}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+15*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+15(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]
[tex](5-\frac{1}{2})^6 = ......+15(5)^2(\frac{-1}{2})^4+.......[/tex]
Check the list of options for the expression on the left hand side
The correct answer is [tex](5-\frac{1}{2})^6[/tex]
Make a 3-by-3 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Tina, Jewel, and Amy have three different pets (dog, goldfish, and ferret).
• Tina is allergic to dogs.
• Jewel does not have the ferret.
• The dog belongs to Amy.
Who owns the ferret?
Answer:
Tina
Step-by-step explanation:
Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
Only 8 servings can be made with the available spice.
Rice to spice ratio = 15 : 1
Number of grams per serving = 75 grams
Grams of spice available = 40 grams
Grams of rice, r required for available spice :
15 grams of rice = 1 gram of spice
r grams of rice = 40 grams of spice
Cross multiply :
r = (40 × 15)
r = 600 grams
The grams of rice which can go with the available spice :
Number of servings = grams of rice / grams per serving
Number of serving = 600 grams / 75 grams
Number of grams per serving = 8
Hence, The number of servings which can be made with the available spice is 8 servings
Learn more : https://brainly.com/question/18796573
Simplify each expression using the proper order of operations. please help thank you so much :)
[tex]\frac{41-3^2}{\sqrt{36}*3-26 }[/tex]= ?
12 +[tex]\sqrt[3]{8}[/tex] *(9-2)= ?
[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?
[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]*2^3= ?
7^2 - 5* 8+1= ?
(2*[tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]*[tex]\sqrt{81}[/tex] ) + 7= ?
Answer:
a) [tex]\boxed{-4}[/tex]
b) [tex]\boxed{26}[/tex]
c) [tex]\boxed{-12}[/tex]
d) [tex]\boxed{-9}[/tex]
e) [tex]\boxed{10}[/tex]
f) [tex]\boxed{-12}[/tex]
Step-by-step explanation:
1) [tex]\frac{41 - 3^2}{\sqrt{36}* 3-26 }[/tex]
=> [tex]\frac{41-9}{6*3-26}[/tex]
=> [tex]\frac{32}{18-26}[/tex]
=> [tex]\frac{32}{-8}[/tex]
=> -4
2) [tex]12+\sqrt[3]{8} * (9-2)[/tex] ∴ [tex]\sqrt[3]{8} = 2[/tex]
=> [tex]12+2*(7)[/tex]
=> 12 + 14
=> 26
3) [tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]
=> [tex]\frac{28-(49+3)}{-13+15}[/tex]
=> [tex]\frac{28-52}{2}[/tex]
=> [tex]\frac{-24}{2}[/tex]
=> -12
4) [tex]\frac{28}{4} - \sqrt[3]{8} * 2^3[/tex]
=> 7 - 2 * 8
=> 7 - 16
=> -9
5) [tex]7^2-5*8+1[/tex]
=> 49 - 40 + 1
=> 9 + 1
=> 10
6) [tex](2 * \sqrt{16} ) - (\sqrt[3]{27} * \sqrt{81} ) + 7[/tex]
∴ [tex]\sqrt{16} = 4, \sqrt[3]{27} = 3 , \sqrt{81} = 9[/tex]
=> (2 * 4) - (3 * 9) + 7
=> 8 - 27 + 7
=> -19 + 7
=> -12
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Apply order of operations to solve each expression.
[tex]\frac{41-9}{6 \times 3-26}[/tex]
[tex]\frac{41-9}{18-26}[/tex]
[tex]\frac{32}{-8}=-4[/tex]
[tex]12+2\times 7[/tex]
[tex]12+14=26[/tex]
[tex]\frac{28-(49+3)}{-13+15}[/tex]
[tex]\frac{28-52}{2}[/tex]
[tex]\frac{-24}{2} =-12[/tex]
[tex]7-2 \times 8[/tex]
[tex]7-16=-9[/tex]
[tex]49-40+1[/tex]
[tex]=10[/tex]
[tex](2 \times 4)-(3 \times 9) +7[/tex]
[tex]8-27+7[/tex]
[tex]=-12[/tex]
Solve on the interval [0,2pi)
4 CSC x + 1 = -3
Answer:
[tex]$\frac{3\pi }{2}$[/tex]
Step-by-step explanation:
Solve for the interval: [tex][0, 2\pi)[/tex]
[tex]4 \csc(\theta)+1=-3[/tex]
[tex]4 \csc(\theta)=-4[/tex]
[tex]\csc(\theta)=-1[/tex]
[tex]$\frac{1}{\sin(\theta)} =-1 \Rightarrow \sin(\theta)=-1$[/tex]
We have [tex]\sin(\theta)=-1[/tex] for coterminal angles [tex]$\frac{3\pi }{2}+2\pi n$[/tex]
Once we just want the interval [tex][0, 2\pi)[/tex]
The solution is [tex]$\frac{3\pi }{2}$[/tex]
Graph the equation y = 4/5x - 1
Answer: The answer is the picture shown below
Step-by-step explanation:
To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.
Answer:
In the attachment.Step-by-step explanation:
[tex]y=\dfrac{4}{5}x-1[/tex]
This is an equation for a line in the slope-intercept form.
For the straight line we only need two points on the coordinate plane.
Choose two x values. Place them in the equation and calculate the y values.
For x = 0:
[tex]y=\dfrac{4}{5}(0)-1=0-1=-1\to(0,\ -1)[/tex]
For x = 5:
[tex]y=\dfrac{4}{5}(5)-1=4-1=3\to(5;\ 3)[/tex]
Mark points on the coordinate plane and draw a line through these points.
15 POINTS!!!!!!!!!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. "Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1. "
a.) 2
b.) 3
c.) 4
d.) 5
Answer: B.
k=3
Step-by-step explanation:
g(x) is 3 units higher than f(x)
so k must be equal to 3
Answer:
it is b i think
k=3
Step-by-step explanation:
What is the function rule represented by the following table? x y 0 0 1 -2 -2 4 y = -x - 1 y = -2x y = x - 3 y = -3x + 2
Answer:
[tex]y = -2x[/tex]
Step-by-step explanation:
Given
x || 0 || 1 || -2
y || 0 || -2 || 4
Required
Determine the function rule
First, we have to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where x and y represent any two corresponding values of x and y
When x = 0; y = 0 [tex](x_1,y_1)[/tex]
When x = 1; y = -2 [tex](x_2,y_2)[/tex]
Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]
[tex]m = \frac{0 +2}{0 - 1}[/tex]
[tex]m = \frac{2}{- 1}[/tex]
[tex]m = -2[/tex]
Next, is to determine the function rule; using slope intercept form as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Take any corresponding values of x and y as x1 and x2
When x = -2; y = 4
[tex]y - y_1 = m(x - x_1)[/tex] becomes
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
Open the bracket
[tex]y - 4 = -2x -4[/tex]
Add 4 to both sides
[tex]y - 4 + 4 = -2x - 4 + 4[/tex]
[tex]y = -2x[/tex]
Hence, the function rule is [tex]y = -2x[/tex]
Answer:
y = -2 x - 1
Step-by-step explanation:
Hillary has to drive 225 miles in four and a half hours. What should her average speed be in order to arrive on time? 56 mph 45 mph 50 mph 48 mph
Answer:
50 mph
Step-by-step explanation:
225 in 4.5 Hours
1 Hour - 50 miles
(225 ÷ 4.5 = 50)
Hope this helps.
Answer:
50mph
Step-by-step explanation:
To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.
You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is spent on rent?
Answer:
3/10
Step-by-step explanation:
1/5 of total income - spent on car
remainder income = 4/5
3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)
the word "of" means you can find it by multiplication
e.g. 2 of 1/2 means 2 × 1/2 which is 1
Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?
Answer:
c. (x-3) is not a factor.
Step-by-step explanation:
Which of the following equations have exactly one solution? Choose all answers that apply: A.6x-15=6x+15 B.6x-6=6x+15 C.6x+15=6x+15 D.6x-6=15x+15
Answer: D
Step-by-step explanation:
In every other solution, x gets canceled out, so it has no impact on the equation. Thus, A, B, and C all have either infinite or no solution, because they have 6x on both sides of the equation.
Further proof:
6x-6=15x+15
Add(6)
6x=15x+21
Subtract(15x)
-9x=21
Divide(-9)
x = -2 3/9
Hope it helps <3
Answer:
d) 6x - 6 = 15x + 15
Step-by-step explanation:
Well let’s solve.
a)
6x - 15 = 6x + 15
Lets use the communicative property which is the moving of numbers.
We can start with -15, so we do +15,
6x = 6x + 30
Then we can do -6x
0 = 30
This is a false statement meaning there is no solution.
b)
6x - 6 = 6x + 15
We can start by doing +6
6x = 6x + 21
-6x
0 = 21
Again, this is a false statement meaning this has no solutions.
c)
6x + 15 = 6x + 15
So we do -15
6x = 6x
If this is the case then there is infinitely many solutions.
d)
6x - 6 = 15x + 15
So we can start by doing +5p6
6x = 15x + 21
Then we can do -15x
-9x = 21
then we can do 21 / -9 which is -2 1/3.
x = -2 1/3
So this has one solution.
Which an equation of a line that has a y-intercept at (0,0) (create your own slope)
Answer:
y = 3x
Step-by-step explanation:
Assume a slope of 3
The y intercept is 0
The slope intercept form of the equation is
y= mx+b where m is the slope and b is the y intercept
y =3x+0
y = 3x
Jordan weighs twice as much as
Sam. Togcther, they weigh 180
pounds. How much do each of
them weigh?
Answer:
Jordan weighs 120 pounds, Sam weighs 60 pounds
Step-by-step explanation:
We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.
Answer: Jordan=120. Sam=60
Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation
2x+x=180
3x=180
x=60
Then we can substitute x in Jordan and sams values to get our final answe;
Jordan=120. Sam=60
If the perimeter of a square is 32 meters, then what is
the area of the square, in square meters?
Answer:
The awnser is 64
Step-by-step explanation:
It is 64 because you devide the perimiter (32) by 4, to get all sides, and then multiply 1 side by the other to get 64
THIS METHOD ONLY WORKS FOR A SQUARE
(03.03) Match the number with its opposite.
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
Step-by-step explanation:
If your value is a positive, make it a negative
Ex. 3-->-3
If your answer is a negative, make it a positive
Ex. -3-->3
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
is 3x+4y=12 linear or nonlinear......is y=1/2x+6 linear or nonlinear......is y=4x to the power of 2 linear or nonlinear......is y+2=|4| linear or nonlinear......is y+6=4x linear or nonlinear......
3x+4y=12 is Linear.
y-1/2x+6 is Linear.
y=4x^2 is nonlinear.
y+2=|4| is linear.
y+6=4x is linear.
In order to tell whether an equation is linear or not, you have to first see if there is any variable^2 or more than ^1. If that is the case, it isn't linear. For example the equation x^2=4 or y^5=100 isn't linear. It also isn't linear if the equation is divided by X or Y.For example the equation 1/x=1 isn't linear or 1/y^2=5 isn't linear.
A question is also linear if you can write it in the form y=mx+b , 'm' meaning the slope of the equation and 'b' meaning the y-intercept of the equation.
please help me immediately
PLEASE PLEASE HELP WILL MARK BRAINLY
Answer:
The second option (see attached image)
Step-by-step explanation:
You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.
The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.
Find the measure of y.
In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?
Answer:
HIG=28°
Step-by-step explanation:
HI is a diameter therefore it's measure is 180°
HI-IG=HG
180-128=HG
52°=HG
HIG=1/2HG
HIG=1/2(56°)
HIG=28°
Does the function ƒ(x) = 7x + 3 represent exponential growth, decay, or neither?
Answer:
Neither
Step-by-step explanation:
This is a linear function as opposed to an exponential function as there are no x terms in higher powers.
Answer:
I graphed the function and its exponential growth
Step-by-step explanation:
Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?
Step-by-step explanation:
the inverse of the inverse of a function is the function itself
It's like going and coming back
f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41Answer:
9
Step-by-step explanation:
The inverse of the inverse is the input
f^-1 (f^-1(9)) = 9
As a proof
f(x) = 4x+5
y = 4x+5
Exchange x and y
x = 4y+5
Solve for y
(x+5) = 4y
(x+5)/4 = y
f^-1 (x) = ( x-5)/4
Then find the inverse of this function
y = ( x-5) /4
Exchange x and y
x = (y-5)/4
4x = y-5
4x+5 = y
Which gives us the original function back
f^-1( input) = 4x+5
Using the value given
f^-1 (9) = ( 9-5)/4=4/4 =1
Using the 1 from the previous part as the input
f^-1( 1) = 4*1+5 = 4+5 = 9
this is algebra 1, the answers are on the bottom help please
Answer:
c. x ≤ 6
Step-by-step explanation:
Well we can tell the line is solid so we can cross out answers,
b.
And it is 6 units to the right where x is less than or equal to 6.
Thus,
the answer is c. x ≤ 6.
Hope this helps :)
Answer:
C
Step-by-step explanation:
x less than or equal to 6
If there had been a dashed vertical line at 6, it would have just been less than
s25=625, s13=169 find an
Answer:what!?
Step-by-step explanation:
please I need help please
Answer:
x=25
Step-by-step explanation:
To find x (hypotenuse), it is a^2+b^2=c^2
24^2+7^2=625
[tex]\sqrt{625}[/tex]=25
x=25
Hope this helps!!
[tex]solve for x if 4 x+1-9(2 ^{2} +2=0[/tex]
Answer:
mark my answer as the brainliest
Step-by-step explanation:
x = 53/4
Answer:
4×+1-9 (2^)+2)=0
4×+1-9 (4+2)=0
4×+1(-36-18)=0
4×+1 (-54)=0
4×-54=0
4×=54
×=54÷4
×=13.5
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.
Answer:
The rhombus ABCD has an area of 22 square units.
Step-by-step explanation:
The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:
[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]
[tex]AC = 15.620[/tex]
[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]
[tex]BD \approx 2.828[/tex]
The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])
[tex]A = \frac{AC\cdot BD}{2}[/tex]
[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]
[tex]A = 22.087[/tex]
The rhombus ABCD has an area of 22 square units.
Answer:
22 units
Step-by-step explanation:
What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?
Answer:
62.5°
Hope this helps :)
what is the average rate of change of f over the interval [-3,9]
Answer:
According to the graph, f(−3)=3 and f(9)=-7
-7-3/9-(-3)= −10/12
Therefore the answer is -5/6
From Khan
The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.
What is Polynomial? What are exponents? What is the general equation of a straight line? A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power. Tis expression means that -[tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
The general equation of a straight line is : y = mx + cwhere : [m] → is slope of line and [c] → is the y - intercept
We have the following function -
f(x) = x³ - 9
The average rate of change would be -
r = {720 - (- 36)}/{9 - (- 3)}
r = 756/12
r = 63
Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.
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[ Complete question -
what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]
Which are the roots of the quadratic function f(q) = q? - 125? Select two options.
Oq=515
Oq=-575
Oq=3/5
Oq=-375
Oq=25/5
Answer:
A and C
Step-by-step explanation:
The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).
Now,
To find the roots, we set the function equal to zero and solve for q:
So,
q² - 125 = 0
(q - 5)(q + 5) = 0
q - 5 = 0 or q + 5 = 0
q = 5 or q = -5
Therefore,
The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.
Learn more about functions here:
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