Answer:
a) (-3, 0) and (7, 0)
b) If x = 7 then (7 - 7) = 0
If x = -3 then (-3 + 3) = 0
c) f(x) = x² - 4x - 21
y-intercept (0, -21)
Step-by-step explanation:
a)
x-intercepts are when f(x) = 0
Therefore, if f(x) = (x - 7)(x + 3) then (x - 7)(x + 3) = 0
⇒ x - 7 = 0
⇒ x = 7
and
⇒ x + 3 = 0
⇒ x = -3
So x-intercepts are (-3, 0) and (7, 0)
b) If x = 7 then (7 - 7) = 0
If x = -3 then (-3 + 3) = 0
c) Expand f(x) = (x - 7)(x + 3)
⇒ f(x) = x² + 3x - 7x - 21
⇒ f(x) = x² - 4x - 21
The y-intercept is when x = 0 ⇒ (0, -21)
HELP PLS 50 POINTS!!
We know that:
[tex]1. \space\ r + s + t = 180 + 180 + 180 - (Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle)\\ \\ 2. \space\ Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle = 180[/tex]
This means that:
[tex]1. \space\ r + s + t = 180 + 180 + 180 - (180)[/tex]
Let's simplify the equation to find r + s + t.
Simplifying the equation:
[tex]r + s + t = 180 + 180 + 180 - (180) \\ \\ r + s + t = 180 + 180 + 180 - 180 \\ \\ r + s + t = 180 + 180 \\ \\ r + s + t = 360[/tex]
Thus, the sum of r, s and t is 360°
Answer: the sum of r, s and t is 360°
I hope i helped you out.
19.The sum of two numbers is 22, and their difference is 12. What are the numbers?
There are 230 ounces in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?
Answer:
Find the unit rate;
230 calories 57.5 calories_____________ = _____________
4 ounces 1 ounceWe multiply those 57.5 calories with 6 ounces
57.5(6) = 345, there are 345 calories in 6 ounces.
(note that you formatted the question wrong, it was supposed to be):
There are 230 calories in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?
(9x+6)° and (6x+9)°
What is the answer
Answer:
15x+15 ?
Step-by-step explanation:
Claire flips a coin 4 times. Using the table, what is the probability that the coin will show tails at least once?
A 2-column table with 5 rows. Column 1 is labeled number of tails with entries 0, 1, 2, 3, 4. Column 2 is labeled probability with entries 0. 06, 0. 25, question mark, 0. 25, 0. 6.
0. 06
0. 25
0. 69
0. 94
Answer: 0.94
Step-by-step explanation:
The required probability of getting at least one tail is given as 0.94. Option D is correct.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The probability of getting tails at least one time is given as,
P(T) = 1 - P(T)'
From the given table.
P(T) = 1 - 0.06
P(T) = 0.94
Thus, the required probability of getting at least one tail is given as 0.94. Option D is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
what is the inequality shown
Answer:
-4 ≤ x ≤ 3
Step-by-step explanation:
A closed circle (●) means 'greater than or equal to' or 'less than or equal to'.
An open circle (○) means 'greater than' or 'less than'
Answer:
3[tex]\geq[/tex]-4
Step-by-step explanation:
[tex]\leq, \geq[/tex]° <,>
if f(n) = n² - n, then f(-4) is ______.
A. -12
B. -20
C. 20
D. 12
Help???
Will reward brainliest.
HELP
Graph the system of equations.
f(x)=x^2+x−2
g(x)=−x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
A. An ordered pair that is a solution to the system of equations lies in Quadrant II.
B. An ordered pair that is a solution to the system of equations lies in Quadrant III.
C. The x-coordinate of a solution to the system of equations is −3.
D. The x-coordinate of a solution to the system of equation is 2.
E. The y-coordinate of a solution to the system of equations is 4.
F. An ordered pair that is a solution to the system of equations lies on the x-axis.
Answer:
An ordered pair that is the solution to the system of equations lies on the y-axis.
The y-coordinate of a solution to the system of equations is 4.
EXPLANATION
The given system has equations:
We equate both equations to get:
This implies that,
When x=0, y=-(0)+4=4
When x=-3, y=-(-3)+4=7
The solutions are: (0,4) and (-3,7)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
How do you get 23 using the numbers 2, 3, 5 and 6?
You can insert any operations such as x, -, +, /
3×5+6+2 because
3×5=15+6=21+2=23
The L.C.M of 4 and 6 is what?
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]the \: lcm \: of \: 4 \: and \: 6 \: is \: 12[/tex]
at this rate how much hay will a cow eat over 90 days? iready
Answer:
775 lbs.
Step-by-step explanation:
Answer:
2250 pounds of hay
Step-by-step explanation:
hope this helps!
Two similar triangles have a pair of
corresponding sides of length 12 meters and 8
meters. The larger triangle has an area of 180
square meters. Find the area of the smaller triangle.
Answer:
The area of the smaller triangle is 80m²
Step-by-step explanation:
Find the scale factor to get the dimensions of the smaller triangle from the larger triangle using the given information:
[tex]\frac{\text{Large Triangle Length}}{\text{Small Triangle Length}}=\frac{12}{8}=\frac{3}{2}[/tex]
When scaling the area of similar shapes, we will square the scale factor for the lengths. We do this because area is a 2-dimensional measurement.
[tex](\frac{3}{2})^2=\frac{9}{4}[/tex]
Let x represent the area of the smaller triangle. So, we have:
[tex]\frac{9}{4}=\frac{180}{x}[/tex]
Cross multiply:
[tex]9x=4(180)[/tex]
[tex]9x=270[/tex]
Divide by 9:
[tex]x=\frac{720}{9}[/tex]
[tex]x=80[/tex]
Therefore, the area of the smaller triangle is [tex]80m^2[/tex].
Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym's opportunity cost rate is 6 percent compounded monthly, how much will she have in the account in five years? (b) How much will be in the account if the deposits are made at the beginning of each month?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Interest rate= 0.06/12= 0.005
Number of periods= 12*5= 60 months
a)
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^60) - 1]} / 0.005
FV= $6,977
b) If the deposit is at the beginning of the month, the interest is compounded one more period. We need to use the following formula:
FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}
FV= 6,977 + {[100*(1.005^60)] - 100}
FV= 6,977 + 35
FV= $7,012
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
please help
VZ = 2WY
s + 52 = 14s
13s = 52
s = 52/13 = 4
What is an equation of the line that passes through the points (-1, 4) and (1, -6)?
Answer: y=-5x-1
Step-by-step explanation:
The two given points are (-1,4) and (1.-6)
We can then use the slope formula (Y2-Y1)/(X2-X1) to find the slope
4-(-6)/ -1-1 = 10/-2 = -5
Slope is -5
We then plug the slope in a set of points to find the y intercept
-5*-1+x = 4
5+x=4
x=-1
Then just add these two together to form the equation of y=mx+b
y=-5x-1
Often, there is more than one set of sequences that will take a preimage to an image. Determine one or two other sequences to create FGHIJ from ABCDE.
Hello.
The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).
A rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D
Have a nice day
Answer:
FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.
FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.
100 POINTS!!!
Is y = x^3 a Linear Function?
A. Yes
B. No
EXPLAIN
Answer:
No
Step-by-step explanation:
From the having it a cubic function instead of a linear function which explains the position that shows not being parallels like others or horizontal another explanation is linear functions will never have anything to the power of anything.
Answer:
B
Step-by-step explanation:
y=x^3 is a cubic function due to the "x^3"
ANSWER ASAP!! (100 POINTS, WILL MARK BRAINLIEST.)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth.
7.07 units
5.1 units
2 units
2.83 units
5.39 units
13.15 units
12.5 units
(3, -1) and (5, 4)
arrowRight
(2, 3) and (4, 5)
arrowRight
(-5, 7) and (8, 5)
arrowRight
(-2, 4) and (3, -1)
arrowRight
To find the distance between any points, we must use the equation
--> [tex]\sqrt{(y2-y1)^2+(x2-x1)^2}[/tex]
For the first question (3,-1) and (5,4), if we plug in the numbers, we get:
--> [tex]\sqrt{(4--1)^2+(5-3)^2} =\sqrt{5^2 + 2^2} =5.39 units[/tex]
For the second question (2,3) and (4,5), if we plug in the numbers, we get
--> [tex]\sqrt{(5-3)^2+(4-2)^2} =\sqrt{2^2+2^2} =2.83units[/tex]
For the third question (-5,7) and (8,5), if we plug in the numbers, we get
--> [tex]\sqrt{(5-7)^2+(8--5)^2} =\sqrt{(-2)^2+(13)^2} =13.15units[/tex]
For the fourth question (-2,4) and (3,-1), if we plug in the numbers, we get
--> [tex]\sqrt{(-1-4)^2+(3--2)^2} =\sqrt{(-5)^2+5^2} =7.07units[/tex]
Hope it helped!
Answer:
Bro above me is correct.
(3,-1) and (5,4) = 5.39
(2,3) and (4,5) = 2.83
(-5,7) and (8,5) = 13.15
(-2,4) and (3,-1) = 7.07
You're planning to place an order from an online boutique. Leggings cost $12 each and shipping is a flat rate of $5. If your total was $41, how many pairs of leggings did you buy?
The pairs of legging purchased is 3
How to determine the number of leggings?Let the number of leggings be x.
The cost per legging is given as:
$12
So, the total amount is:
Total = 12x
The flat rate is given as:
Flat rate = 5
So, we have:
Total = 12x + 5
Your total is $41
So, we have:
12x + 5 = 41
Subtract 5 from both sides
12x = 36
Divide through by 12
x = 3
Hence, the pairs of legging purchased is 3
Read more about linear equations at:https://brainly.com/question/14323743
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(Pleaseeeeeee helpp me)
Your going on vacation for 7 days
What’s the total amount you will spend on food and lodging each day? $700
What's the total amount you will spend on luggage for everybody? $600
Now use the amount you spend on Daily expenses to make an equation that will give you the expenses (y) for any given amount of days (x).
Total Expense equation:
Answer:
4207
Step-by-step explanation:hope that helped you
Answer: They report paying an average of about $87 per night for lodging on their domestic trips, and just a dollar or two more per night when traveling abroad. Overall, Americans spend an average of $33 per day on food when on a vacation within the U.S. In aggregate, more than 80% of that amount is spent in restaurants.
Step-by-step explanation: An estimate of what the average person spends on vacation is approximately $205-$305 per day plus transportation costs. This is based on spending $150-$250 a night on your accommodations and $60 a day on meals.
Which equation has the solution x = 3?
Select each correct answer
09 - 31 = 0
0 +5=6
2x + 4 = 10
09-1=4
51 - 7 = 1
3x + 1 = 9
Answer:
2x + 4 = 10 = x =3
Step-by-step explanation:
09 - 31 = 0 (the variable x is not present in the given system)
0 +5=6 (the variable x is not present in the given system)
2x + 4 = 10 = x = 3
09-1=4 (the variable x is not present in the given system)
51 - 7 = 1 (the variable x is not present in the given system)
3x + 1 = 9 = x = 8/3
At an arcade, there is a machine that accepts game tokens and returns tickets
that can be redeemed for prizes. Inserting 5 tokens returns 3 tickets and
inserting 10 tokens returns 8 tickets. You must insert tokens in multiples of 5 or
10, and you have a total of 20 tokens. Identify the domain in this situation?
*
Answer: 5, 10, 15, 20
Step-by-step explanation:
Domain is all possible values that can be used as inputs in a function.
The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.
The multiples of 5 are:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Answer:
The car will be worth £2516.22 in 5 years
Step-by-step explanation:
The rule of depreciating is
[tex]A=P(1-r)^{t}[/tex], where
A is the new valueP is the original valuer is the rate in decimalt is the time in years∵ Dan buys a car for £2700
∴ P = 2700
∵ It depreciates at a rate of 1.4% per year
∴ r = 1.4% = 1.4/100 = 0.014
∵ We need to find how much it will be worth in 5 years
∴ t = 5
→ Substitute all of these values in the rule above to find A
∵ [tex]A=2700(1-0.014)^{5}[/tex]
→ Use your calculator to find the answer
∴ A = 2516.22
∴ The car will be worth £2516.22 in 5 years
find the value of x
Answer:
What is the other information attached to the question?
Step-by-step explanation:
While running for class president, Amanda handed out a campaign button. The catalog from which the button was ordered states that it has a circumference of 12.56 inches. What is the button's area?
Answer:
A = 12.554 square inches
Step-by-step explanation:
Let's start with the formulas:
Circumference = [tex]2\pi r[/tex]; Area = [tex]\pi r^{2}[/tex]
We can use the circumference to find the radius, r, which we need for the area
12.56 = [tex]2\pi r[/tex]
Isolating r gives us [tex]\frac{12.56}{2\pi } = r[/tex]
A = [tex]\pi (\frac{12.56}{2\pi })^{2}[/tex]
Solving gives us 12.554, which you can further round if necessary.
Brainliest tomorrow !!
Answer:
6
There are 3 dots on the line, so in that case, it must be 3.
Add +3 people to the data to represent the, "at least" part.
Each space in the following grid can be filled in with integers. The product of each row and column is displayed in blue. Solve the puzzle. ( need this answered before 11:59 am )
Answer:
5 1 3
2 16 0
2 1 9
What is the value of x?
O 1
O 5
O 25
0 37
Answer:
37
Step-by-step explanation:
when you plug in 37 for X which is 96 degrees. which is technically an obtuse angle
Answer:
It’s 25
Step-by-step explanation:
You look good today
Please help me!
Gabriella sold half of her comic books and then bought fifteen more. She now has 34. How many comic books
did she have in the beginning?
Answer: i believe 38
Step-by-step explanation:
i’ll try my best to explain... 34-15=19 which means that times 2 is 38
if this was right it would make sense because half of 38 is 19 and 19+15 is 34