Answer:
D) f(x) = 2(x + 5)(x − 12)----------------------
Given options:
A) f(x) = 2x² + 5x − 12,
this is a standard form of quadratic function.B) f(x) = 2x + 5,
this is a linear function, not quadratic.C) f(x) = 2(x + 5)² − 12,
this is vertex form of a quadratic function.D) f(x) = 2(x + 5)(x − 12),
this is a factored form of a quadratic function.There were 680 gallons of water ALREADY in a 1600-gallon pool. Water is being pumped into the pool at the rate of 320 gallons per hour. Let x represents the number of hours. Find how many hours it will take to fill the pool.
Answer:
2 7/8 hours
Step-by-step explanation:
Answer:
2hrs 12 mins
Step-by-step explanation:
5hrs = 5x = 1600 question asks us to find 680
2 1/2x + 680-640 =-x + 2.8hrs
2x + 40 = x + 2.8hrs
2x + 40 = 680
Then use the 2.8 to convert into hrs : minutes ie) 0.8 x 60
0.8 * 60 = 48 minutes
Then go back to x + 2.8hrs = x + 2hrs 48mins
2x + 48 = 60
2x + 48 = 60
2x+ 60 - 48
x = 2:12 hours
Find the value of x. Show your work of a piece of paper
Answer:
3
Step-by-step explanation:
x/1= 9/3
solve to get 3
Answer:
X = 3
Step-by-step explanation:
1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3
2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3
Hope that helps
Let me know if it is confusing
Let x=−1−5i
and y=5−i
. Find x−y
.
A. 6−4i
B. −12i
C. −6−4i
D. −6−6i
On the first january 2014 carol invested some money in a bank account the account payes 2.5% compound interest per year on 1st jan 2015 carol withdrew £1000 from the account on 1st jan 2026 sge had £23517.60 in the account work out how much carol originally invested in the account
Answer:
$23,360
Step-by-step explanation:
Calculation to determine how much carol originally invested in the account
First step is to divide £23517.60 by 1.025
= (23,517.60)/(1+.025)
= (23,517.60)/1.025
=$22,944
Second step is to add back the $1,000 withdrew
=$22,944+$1,000
=$23,944
Now let calculate how much carol originally invested in the account
$23,944=1.025P
Divide both side by 1.025
P=$23,944/1.025
P=$23,360
Therefore the amount that carol originally invested in the account is $23,360
Which figure is described below?
The locus of points in a plane 10
units from the line y = 4.
A ray
B. 2 parallel lines
C. circle
D. plane
Answer: 2 parallel lines
solve for x.
please help.
Please find the attached photograph for your answer
sorry guys i really hate geometry
Answer:
54.3
Step-by-step explanation:
4/3 x pi x 2.35^3
At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?
Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
Simultaneous Equations - 5p-2q=9 3p+2q=7
Apnswer:
p = 1
q = -2
Step-by-step explanation:
5p - 2q = 9 eqn 1
3p + 2q = 7 eqn 2
subtract equation 2 from 1
2p = 2
p = 1
Substitute for p in equation 1
5(1) - 2q = 9
5 - 2q = 9
-2q = 4
q = -2
What is the length of a in this triangle?
a^2 = 37^2 - 35^2
a^2 = 1369 - 1225
a^2 = 144
___
a = /144
a = 12
if a person walks 2.4 miles in 1.5 hours how far can you walk in 6 hours
Answer: 9.6
Step-by-step explanation: I did a proportion, 2.4/1.5=?/6 so 6/1.5= 4 so 2.4*4= 9.6
So a person can walk 9.6 miles in 6 hours.
Hope this helps!
Chloe's bookshelf has 6 books by Smith and 8 books by Jones. If she removes 4 books at random, what is the probability of removing 2 by each author?
Answer:
7%
Step-by-step explanation:
I added 8 and 6 then divided by 2
I'm taking probability and stats next year so ¡dk if its right
Answer:
42%
Step-by-step explanation:
Which expression is equivalent to 5 (a + b)
is searching online for airline tickets. Two weeks ago, the cost to fly from to was 250$. Now the cost is 330 $. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
Cost increases to $330.
The percent increase here would be:
= (New price - Old price )/ Old price
= (330 - 250) / 250
= 0.32
= 32%
Cost increases to $330 and charges $50 baggage fee
= (New price - Old price )/ Old price
= (330 + 50 - 250) / 250
= 0.52
= 52%
7n-4=31
what does n stand for?
Answer:
it is the number you are trying to solve for which would be 5
Step-by-step explanation:
PLEASE HELP! I really really need help. If you can please help me with the answer.
Answer:
I believe it's 960
Step-by-step explanation:
Rect. Prism volume = 12 * 10 * 7 = 840
Pyramid = (12 * 10 * 3) / 3 = 120
Total = 840 + 120 = 960
Find a and b if
2^a×3^b=12
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
find the value of a²+b when a =-2 and b=5
Answer:
4+5=9
Step-by-step explanation:
a2+b=9
Two negatives equal a positive you multiply 2, 2 times because of the power 2.
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]
Step-by-step explanation:
Given,
a = - 2
b = 5
Our expression is,
a² + b.
To solve this, we need to substitute the values of a & b in the given expresssion. So,
a² + b
= (-2)² + 5
= 4 + 5 (2 negatives when mutilpied gives a positive number)
= [tex]\boxed{\sf{9}}[/tex]
___________________________
[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]
solve for x radical forms
Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
Answer me this please!
Knowing the absolute value of the numbers will help you determine which is closest to ________
Answer:
0
Step-by-step explanation:
absolute value disregards -/+
I need this done by tomorrow 4.
Boy Scout camp and walk 6 km due east he then turns and walks 9 km due south what is his distance away from the camp at this point
If the following triangles are similar solve for x
Answer:
x = 16
Step-by-step explanation:
Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.
Thus:
EG/AC = EF/AB
EG = 756
AC = (45x - 76)
EF = 1107
AB = 943
Plug in the values into the equation
756/(45x - 76) = 1107/943
Cross Multiply
756*943 = (45x - 76)*1107
712,908 = 49,815x - 84,132
712,908 + 84,132 = 49,815x
797,040 = 49,815x
797,040/49,815 = x
16 = x
x = 16
Please help me out :)
Answer:
96 cm^3
Step-by-step explanation:
you just multiply all the numbers :)
please help meee
a. square root of 4 and 3
b. square root of 2
c. 4
d. square root of 8 and 3
Answer:
a) 4sqrt3
Step-by-step explanation:
8/2=4
4*sqrt3=4sqrt3
look up 30 60 90 triangle
1/2y=13
Solve for y.
Answer:
The correct answer is Y = 26
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]
[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]
[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]
[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]
[tex]\mathsf{2\times13=\bf y}[/tex]
[tex]\mathsf{2\times13 = \bf 26}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the value of x in the picture below.
Please give me the answer nothing else
Answer:
h = 45.5 ÷ 7
Step-by-step explanation:
Expresa en forma algebraica. ⦁ El cuadrado de un número aumentado en 1. ⦁ Cinco veces un número menos 8. ⦁ El número siguiente a un múltiplo de 5. ⦁ Un número impar.
Answer:
1) N^2 + 1
2) 5*N - 9
3) n*5 + 1 (con n entero)
4) n*2 + 1 (con n entero)
Step-by-step explanation:
1) El cuadrado de un número aumentado en 1.
Podemos definir a N como el número.
El cuadrado de N es:
N^2
Y a esto lo tenemos que aumentar en 1, entonces tenemos:
N^2 + 1
Esto es el cuadrado de un número aumentado en 1.
2) Cinco veces un número menos 8.
Esto es:
5*N (5 veces un número)
Y a esto le restamos 8, para obtener:
5*N - 8
3) El número siguiente a un múltiplo de 5
Un multiplo de 5 se escribe como:
n*5
Donde n es un número entero.
El numero siguiente es:
n*5 + 1
4) Un número impar.
Bien, sabemos que un número par es un multiplo de 2.
Entonces:
n*2 es un número par.
Entonces, n*2 + 1 tiene que ser un numero impar.
En este caso la expresión algebraica es:
n*2 + 1
Help me please. I don't understand this.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.
It seems to be a good idea to start with the formula for the volume.
Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).
Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.
Evaluating it gives the volume in cubic units.
_____
Additional comment
If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).
However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.