Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
What is the angle relationship between c and d?
Also what is the relationship between c and f?
(could be Vertical, alternate exterior, alternate interior, corresponding, same-side interior, same-side exterior, or linear pair.)
Answer:
1. linear pair (c and d)
2. alternate interior angles (c and f)
Step-by-step explanation:
Here, we want to get the relationship between angles
From what we have , we can see that angle d and angle c lie on a straight line
Thus, we have that angle c and angle d are supplementary angles since they will add up to give 180 degrees . So we can call the two a linear pair
For c and f, we can notice a z-like angle between the two
In this case, when we have a z-like angle, the relationship that exists between the two angles is that they are alternate interior angles
I need & answer ASAP due in 10 minutes :,)
Pls and thank you but make sure to include a explanation & No Links pls & thxs again
Answer:
84 m³
Step-by-step explanation:
Area of base: 1/2 × 6 × 4= 1/2 ×24 = 12
Volume: area of base × height = 12 × 7= 84 m³
please help me
i wanna sleep :(
Answer:
what langue is that
Step-by-step explanation:
help pls i need help on this last math area equation. and explain also.
Answer:
c
Step-by-step explanation:c
There are seven quarters in the bottom of a tote bag. Three of those quarters were minted in 2019, two were minted in 2001, and two were minted in 2008. What is the probability of selecting two quarters that were both minted in years other than 2019 if the first was not replaced before the second was selected?
Answer:
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Step-by-step explanation:
Given
[tex]n(2019)= 3[/tex]
[tex]n(2001)= 2\\[/tex]
[tex]n(2008)= 2[/tex]
[tex]n = 7[/tex] --- total
Required
[tex]P(Not\ 2019)[/tex]
When two quarters not minted in 2019 are selected, the sample space is:
[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]
So, the probability is:
[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(2001,2001) = P(2001) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2001) = \frac{1}{21}[/tex]
[tex]P(2001,2008) = P(2001) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2008) = \frac{2}{21}[/tex]
[tex]P(2008,2001) = P(2008) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2001) = \frac{2}{21}[/tex]
[tex]P(2008,2008) = P(2008) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2008) = \frac{1}{21}[/tex]
So:
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]
Take LCM
[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]
[tex]P(Not\ 2019) = \frac{6}{21}[/tex]
Simplify
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Can you help me solve this question
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?
____________________Solution :-Given Information :-Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00To Find :-Total cost of the mirror Austen needs to buy.Formula Used :-Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot Calculation :-Area of mirror :-Substituting the values given in the 1st formula, We get,
⇒ Area of mirror = ( 3 × 2 ) ft²
⇒ Area of mirror = 6 ft²
Now finding the total cost of mirror,Substituting the values calculated above in the 2nd formula, We get
⇒ Total Cost of mirror = $ ( 6 × 5.00 )
⇒ Total Cost of mirror = $30
___________________Final Answer :-Total cost of the mirror Austen needs to buy will be $30____________________Tenzing sold two watches at rs1200 andrs1350 respectively if he gained 20 percent on the first and 2percent on the whole what percent did he loss in second watch
9514 1404 393
Answer:
10% loss
Step-by-step explanation:
If Tenzing sold the first watch at 20% profit, his cost c can be found from ...
1200 = 1.20c
1000 = c
If Tenzing sold both watches together for 1200 +1350 = 2550, then his total cost can be found from ...
2550 = 1.02t
t = 2550/1.02 = 2500
Then his cost for the second watch was ...
2500 -1000 = 1500
The sale price of 1350 for that watch represents a multiplier m on the watch cost of ...
1500m = 1350
m = 1350/1500 = 0.90 = 1 - 0.10
Tenzing lost 10% of its cost on the second watch.
Find the length of the segment that joins the points (4, -2) and (1, -3).
Answer: square root of __
Answer:
Your answer would be √10, or square root of 10.
2. Desarrolla el cuadrado de los siguientes binomios. a) (2 + 5√) 2 = b) (√3 − √5) 2 = c) (√ + 3 − √ − 3) 2 =
Answer:
Cuando tenemos un binomio como:
(a + b)^2
El desarrollo es:
a^2 + 2*a*b + b^2
Si en cambio, el binomio es de la forma:
(a - b)^2
El desarrollo es:
a^2 - 2*a*b + b^2
Ahora simplemente usemos esas formulas en cada caso:
a) (2 + 5√)^2
(hay una raiz cuadrada ahi que no aplica a nada, asi que supongo que es un error de tipeo)
entonces tenemos que expandir:
(2 + 5)^2 = 2^2 + 2*(2)*(5) + 5^2 = 4 + 20 + 25 = 49
b) (√3 − √5)^2
= (√3)^2 - 2*(√3)*(√5) + (√5)^2
= 3 - 2*√(3*5) + 5
= 3 - 2*√15 + 5
= 8 - 2*√15
c) (√( + 3) − √( − 3))^2
Acá hago el reemplazo:
√(-3) = i*√3
Recordar que i^2 = -1
Entonces tendremos:
(√( + 3) − √( − 3))^2 = (√( 3) − i√( 3))^2
= (√3)^2 - 2*i* (√3)(√3) + (i* (√3))^2
= 3 - 2*3*i + (i^2*3)
= 3 - 6*i - 3
= - 6i
find the solution of given expression !!
[tex] \sqrt{36 \times 4} [/tex]
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \sqrt{36 \times 4} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex][tex]2 \times 3 \times 2[/tex][tex]12[/tex]Therefore, the correct answer is 12
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Evaluate the expression (35+ 7) {6 – 5).
Answer:
The answer is 41
Step-by-step explanation:
(35 + 7) (6 - 5)
(42) × (1) = 41
Thus, The answer is 41
-TheUnknownScientist
Need help ASAP! Will give brainliest;) No links please, will report.
The area of a triangle is 55x^3+15x^2-25. The length of the triangle is 5x. What is the width?
Answer:
The area of a triangle =55x^3+15x^2-25
1/2×length×width=55x^3+15x^2-25
5x/2×width=55x^3+15x^2-25
width=[55x^3+15x^2-25]×2/5x
width=22x²+6x-10/x is your answer
volume of composite figures
✍️Answer:
The volume of the figure is 381 cubic in✄ ---------------[tex]v=L*W*H[/tex][tex]v=(16)(7)(3)+1/2(3)(5)(6)[/tex][tex]v=336+45[/tex][tex]v=381 in^3[/tex]✮✮✮✮✮✮✮✮✮
hope it helps...
have a great day!!
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
The radius of a circle is 12 centimeters. Calculate the area of the circle?
Answer:
A≈452.39cm²
Step-by-step explanation:
Solution
A=πr2=π·122≈452.38934cm²
Answer:
452.389
Step-by-step explanation:
hope this help
what are the outliers for 0,5,6,7,8,13
Given:
The date set is:
0,5,6,7,8,13
To find:
The outliers for the given data set.
Solution:
We have,
0,5,6,7,8,13
Divide the data in two equal parts.
(0,5,6),(7,8,13)
Divide each parenthesis in two equal parts.
(0),5,(6),(7),8,(13)
Here, first quartile is [tex]Q_1=5[/tex] and the third quartile is [tex]Q_3=8[/tex].
The interquartile range (IQR) is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=8-5[/tex]
[tex]IQR=3[/tex]
The data lie outside the range [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] is called outliers.
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[5-1.5(3),8+1.5(3)][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[5-4.5,8+4.5][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[0.5,12.5][/tex]
The data values 0 and 13 lie outside the range [0.5,12.5].
Therefore, 0 and 13 are outliers of the given data set.
Answer please and thank you
Answer:
s = 11.97
Step-by-step explanation:
please help!! i really need to answer this so i pass!
Answer:
450 LITERS
(Answer may not be correct, to solve for the right answer see below)
Step-by-step explanation:
(Convert 450 LITERS to meters to find the answer the question is asking)
1.2 m x 0.5 m x 3/4 m =
1. Convert the 3/4 meters into a decimal, you can use an online calculator for that part
2. 3/4 = ______
______ m x 1.2 m x 0.5 m = (ANSWER)
What’s the answer
Need help don’t get it give u 100 bucks
Answer:
complementary
Step-by-step explanation:
because if r=s and the angles dont have a 90 degree angle it would be complement
someone, please help me with this, if you can explain it fully that'll be great. I have been sick and missed all the classes and idek the name of this topic
send help
thank you in advance
Step-by-step explanation:
i don't know how to do 1b and 2a hope these two helps :))
a rectangle has a lenght of 8cm. its area is 72 cm squared. calculate the perimeter of the rectangle
answer is 576 is your answer
Ms. Salgado needs to have her car repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget?
Answer:
The mechanic will need to finish in 4 hours.
Step-by-step explanation:
100+40=140
40+40=80
40+40=80
40
140 +80 + 80+ 40= 340
If any of you are good with math and Science especially algebra can you PLEASE HELP ME
Answer:
ok what do i do 1st
Step-by-step explanation:
Answer:
how can i help?
Step-by-step explanation:
PLS ANSWER PHOTO ATTACHED
Answer:
its 12
Step-by-step explanation:
Based on a $400 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR)
Answer:
Step-by-step explanation:
A = 40* (365/5)= 29.2%
B = 50*(365/12) = 15.2%
C= 80*(365/15)=19.46%
D = 100*(365/20)=18.25%
so best is B, then D , then C then A .
B,D,C,A in lowest to highest APR
As per the given data, with a base of $400 for loan amount, the ranking of all the given companies from the lowest to highest annual percentage rate is B,D,C, and A.
What is the annual percentage rate?Annual borrowing costs, including fees, are stated as a percentage and are known as the annual percentage rate, or APR. The APR is a more comprehensive indicator of how much borrowing money will cost because it includes both interest rates and application fees.
Instead of just a monthly fee or rate, the term annual percentage rate of charge refers to the interest rate for the entire year as applied to a loan, home loan, credit card, and many more. It can also be referred to as a nominal APR or an effective APR. It is a financial fee that is calculated at an annual rate.
Required calculations are as follow:
A = 40 × (365/5)= 29.2%
B = 50 × (365/12) = 15.2%
C= 80 × (365/15)=19.46%
D = 100 × (365/20)=18.25%
Therefore, the ranking of all the companies with the lowest to highest annual percentage rate are B,D,C, and A.
Learn more about annual percentage rate from here:
https://brainly.com/question/17613825
#SPJ2
Find the area of a square
Answer:
Step-by-step explanation:
area =l^2
=7^2
=49 km^2
radio station KLUV broadcasts in all directions to a distance of 50 mi. How many square miles are in the stations broadcast area?
Answer:
7850 mi
Step-by-step explanation:
Area of a circle is:
A = (pi)r²
A = (3.14) (50²)
A = (3.14) (2500)
A = 7850 square miles
GIVING BRAINLIEST!!!!
Select the properties that both rectangles and parallelograms always share (u can select more than one answer)
A) four sides of equal length
B) 4 right angles
C) 2 pairs of parallel sides
D) 2 pairs of sides with equal length
E) 2 acute angles and 2 obtuse angles