Answers
Answer:
A.
Step-by-step explanation:
Factor out x^2-3x-40. Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3). The two numbers that do that are -5 and 8. Recall that to be zeroes, at least one of the x-values must make the equation equal 0. So if x=-5, (x+5) is the term that would be 0.
You could also multiply the factored forms that are given to find the correct one.
Related Questions
Learning Task 2
Solve the following problems. (Show your complete solutions.)
1.) What is the sum of the interior angles of a polygon having 8 sides?
2.) Find the measure of the exterior angle of a regular decagon.
3.) Find the number of diagonals of a nonagon.
4.) What is the measure of each angle of a regular nonagon?
5.) if the sum of the measures of the angles of a regular polygon is 900, then
what is the number of sides?
Answers
1. 1080°
2. 36°
3. 27 diagonals
4. 140°
5. 7 sides
Step-by-step explanation:1. The sum S of the interior angles of a polygon is given by;
S = (n-2) x 180°
Where;
n = number of sides of the polygon.
Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;
S = (8 - 2) x 180°
S = 6 x 180°
S = 1080°
Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°
2. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a regular decagon where the number of sides n = 10, the sum is;
S = (10 - 2) x 180°
S = 8 x 180°
S = 1440°
Since the decagon is regular, then each of its interior angles is given by;
1440° / 10
=> 144°
Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;
The exterior angle of a regular decagon is;
180° - 144° = 36°
Therefore, the exterior angle of a regular decagon is 36°
3. The number of diagonals N of a polygon with n sides is given by;
N = [tex]\frac{1}{2} n(n-3)[/tex]
So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;
N = [tex]\frac{1}{2}*9(9-3)[/tex]
N = [tex]\frac{1}{2}*9(6)[/tex]
N = 9(3)
N = 27
Therefore, a nonagon has 27 diagonals.
4. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a nonagon where the number of sides n = 9, the sum is;
S = (9 - 2) x 180°
S = 7 x 180°
S = 1260°
Since the nonagon is regular, then each of its interior angles is given by;
1260° / 9
=> 140°
Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°
5. The sum of the interior angles of a polygon is given by;
S = (n - 2) x 180°
So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;
900° = (n - 2) x 180°
Divide through by 180°
5 = (n - 2)
Solve for n;
n = 5 + 2
n = 7
Therefore, the regular polygon has 7 sides.
A retail store served 923 customers in October, and there were 45 complaints during that mo
What is the experimental probability that a customer complains?
Let's try that again
Answers
Answer:
Experimental probability [Customer complains] = 45 / 923
Step-by-step explanation:
Given:
Total number of customer in store = 923 customers
Total number of complaints in October = 45 Find:
Find;
Experimental probability [Customer complains]
Computation:
Probability of an event = Number of favorable outcomes / Total number of outcomes
Experimental probability [Customer complains] = Total number of complaints in October / Total number of customer in store
Experimental probability [Customer complains] = 45 / 923
Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?
Answers
Answer:
The lemonade costs 1.4.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a cookie.
y is the cost of a lemonade.
Total cost for cookie and lemonade is 1.80.
This means that [tex]x + y = 1.8[/tex].
As we want y, we have that [tex]x = 1.8 - y[/tex]
Lemonade costs 1.00 more than the cookie?
This means that:
[tex]y = x + 1[/tex]
So
[tex]y = 1.8 - y + 1[/tex]
[tex]2y = 2.8[/tex]
[tex]y = \frac{2.8}{2}[/tex]
[tex]y = 1.4[/tex]
The lemonade costs 1.4.
answer?? please answer
Answers
Answer:
The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2
Step-by-step explanation:
✔️Find the equation of Function A:
To do this, find the y-intercept (b) and slope (m):
Slope (m) = change in y/change in x
Using (4, 13) and (5, 17),
Slope (m) = (17 - 13)/(5 - 4) = 4/1
m = 4
To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b
13 = 4(4) + b
13 = 16 + b
13 - 16 = b
b = -3
To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b
Thus:
y = 4x - 3
Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3
Thus:
y = 4(2) - 3
y = 8 - 3
y = 5
✅The y-value of Function A when x = 2 is 5
✔️Equation for Function B is given as,
y = ½x + 1
Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1
Thus:
y = ½(2) + 1
y = 1 + 1
y = 2
✅The y-value of Function B when x = 2 is 2
Therefore, the correct statement is:
The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2
I'll give you more points but you have to answer all the parts to the question. I need this plsssss ty lol. Show all work too plssss.
Answers
Answer:
a) 34mi
b) 10mi
c) 44mi
d) by Calculating the amount of miles it would take John to go to school plus the amount of miles it would take Sara to go to school. Then add the sum of the amount of miles it took for both to go to school.
Step-by-step explanation:
a) explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]16^2+30^2=c^2[/tex]
[tex]256 + 900 = c^2[/tex]
[tex]c^2=1156[/tex]
[tex]\sqrt{1156}=34mi[/tex]
b) explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]6^2+8^2=c^2[/tex]
[tex]36+64=c^2[/tex]
[tex]c^2=100[/tex]
[tex]\sqrt{100} =10mi[/tex]
c) explanation: we already have all the data from John's house to Sara's House.
John's House to Sara's House = John's House to School + Sara's House to School.
Sara's House to School (Question #1) = 34mi
John's House to School (Question #2) = 10mi
34(mi) + 10(mi) = 44(mi)
d) explanation: explanation is on the answer
Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?
Answers
6250 is 5% of 125000
For the image below, state the line of reflection:
Answer choices:
y = -2
x-axis
y-axis
x = -1
Answers
Answer:20
Billions
Step-by-step explanation:
Answer:
Kjxiycdafgousdgkuafveligfasa
Please Help me. I get so confused doing these questions.
Answers
Answer:
It should be -24
Step-by-step explanation:
I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)
please help confused tyy
Answers
You want to set the angles equal to 90°
So it would look like this
(6d+8)+(3x+1)=90
then you would solve
Hope this helps ;)
(3d+1)+(6d+8)=90
3d+1+6d+8=90
9d+9=90
-9 -9
9d=81
divide by 9 on both sides
d=9
Explanation: In order to solve for d, you will need to remove the parentheses, then combine like variables. Then, subtract 9 from both sides. Finally, divide by 9 on both sides. You should get d=9.
Gerald wants to buy a sweater that is $41.60 because it is on sale for 20% off
Answers
Answer: $33.28
Step-by-step explanation: 41.60x .20 = 8.32
41.60 - 8.32 = 33.28
Write the equation of a line that has a slope of 1/2 and passing through the point (-8, 5).
Answers
Answer:
[tex]y=\frac{1}{2}x+9[/tex]
Step-by-step explanation:
Slope-Intercept Form:
[tex]y=mx+b[/tex]
Plug in the slope:
[tex]y=\frac{1}{2}x+b[/tex]
Solve for b, the y-intercept, given the point (-8,5):
[tex]5=\frac{1}{2}(-8)+b[/tex]
[tex]5=-4+b[/tex]
[tex]9=b[/tex]
Therefore, the equation [tex]y=\frac{1}{2}x+9[/tex] produces a line with a slope of [tex]m=\frac{1}{2}[/tex] and passes through the point [tex](-8,5)[/tex]
Answer:
hbbvhghvbvvgvb
_ gfjjg
Step-by-step explanation:
yfjjgnkgckitfv
Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?
Answers
Answer:
Time when both earnings are equal = 5:00 Pm
Step-by-step explanation:
Given:
Total earning of Deanne = 6.50x
Total earning of Stephanie = 9.10(x -2)
Work started at 10:00 am
Find:
Time when both earnings are equal
Computation:
Total earning of Deanne = Total earning of Stephanie
6.50x = 9.10(x - 2)
6.5x = 9.1(x-2)
6.5x = 9.1x - 18.2
9.1x - 6.5x = 18.2
2.6x = 18.2
x = 18.2 / 2.6
x = 7 hour
So,
Time when both earnings are equal = Work started at 10:00 am + 7 hour
Time when both earnings are equal = 5:00 Pm
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.
Answers
Answer:
1/4 of the cost
Step-by-step explanation:
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?
Discounted price = 3/4 the original price
Each girl agreed = 1/3 of the cost
Amount each girl paid = 3/4 * 1/3
= (3 * 1) / (4 * 3)
= 3 / 12
= 1/4 of the cost
Amount each girl paid = 1/4 of the cost
HELP ASAP
Distinguish whether the following expression has like terms and identify them. If it does, separate the like terms from the rest of the terms and organize the expression so that you can combine the like terms. Combine the like terms and write the word in simplest form. Show all of your work.
-3x3z2 + 2xz + 4x3z2 − 2x2z3
Answers
Answer:
sdfgfgav
Step-by-step explanation:
The choices are
A. 2/13
B. 3/13
C. 5/13
D. 8/13
Answers
Step-by-step explanation:
The answer is A
(6 - i)(6 + i) multiplying complex numbers
Answers
Answer:
[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]
Please help me solve my problem!!!
Answers
360-(100+120+65)= 75 degrees
Kaylee and her children went into a movie theater and will buy drinks and candies.
She must buy no less than 15 drinks and candies altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of candies purchased, c.
Answers
Answer:
c+d>15
Step-by-step explanation:
Usually there's more to the question.. the inequality doesn't look too right, but it could be.
Answer:
c+d>15
Step-by-step explanation:
how do u find volume of a rectangle
Answers
Not mistaken
Answer:
the length of the rectangle times the wedth of the rectangele by 2
Find the value of x and y. NEED HELP ASAP
Answers
Answer:
11) 2√3
12) 4√3
Step-by-step explanation:
11)
tg60 = 6/x
x= 6/tg60
x= 6/ √3
x= 2√3
12)
a2= (b)2 + (c)2
a2= (6)2 + (√3)2
a2= 36 + 12 = 48
a= √48
a= 4√3
I hope this helps you :)
Make x the subject xa = xb + c
Answers
Step-by-step explanation:
xa - xb = c
x (a - b) = c
× = c / (a -b)
Solve: 36(x + 4)= 36
Answers
Answer:
x = -3
Step-by-step explanation:
36(x + 4) = 36
Divide both sides by 36
x + 4 = 1
Subtraact 4 from both sides
x = -3
Answer:
-3
Step-by-step explanation:
10. A trapezold has a base of x and a helght of 3 units. If there is also a square with sides measuring x,
what formula would be used to calculate the total area of both figures (the ^sign represents the
exponent or power of the number): *
09x
Ox2
4x + x3
1x 2 + 3
Answers
Answer:
I Think 0x2 Or 4x + x3 I'm not 100% Sure
Step-by-step explanation:
I Tried..
if there are twelve apples and someone takes -24 how many apples will there be left
Answers
Equation = 12 - -24 = ?
After keep, change, flip: 12 + 24 = ?
Answer = 36
Wait someone takes negative 24 or just 24?
If negative then it would be 36
If positive then it would be -12
Hope this helps! :)
simplify 3(2x+4y-y) i need help with that please
Answers
3 (2x+3y)
Now multiply 3 by 2x then 3 by 3y
6x + 9y
And that is the final answer
A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower
Answers
Answer:
CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH
Step-by-step explanation:
sorry po
Chỗ hình chóp S.ABCD có đáy ABCD là hình vuông .SA=AB=2 SA vuông góc với đáy.Gọi T là điểm thoả mãn vector ST=1/2 vectơ AB tính thể tích khối đa diện ABCDST
Answers
Answer:
Step-by-step explanation:
Danielle purchased a picture frame with an area of 120 cm^2. She measured the length to be 10 cm. What is the width? Danielle has another picture frame with an area of 288 cm^2 and the same width. What is the length of the second frame?
Answers
Answer:
Step-by-step explanation:
the width of the first frame is 12cm because 120/10 = 12
the length of the second frame is 24cm because 288/12 = 24
If John had 9 apples and doubles them 5000 times how many apples would he have
Answers
He would have 45000 apples, right?
A=755y/t^2
Solve for y.
Answers
Answer:
y = At²/755
Step-by-step explanation:
A = 755y/t²
multiply both sides by t²
At² = 755y
Divide both sides by 755
At²/755 = y
Flip
y = At²/755