Answer:
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
Step-by-step explanation:
let me write the standard form of a quadratic equation
[tex]a {x}^{2} + bx + c[/tex]
Now let me rewrite the original equation
[tex]3 {x}^{2} + 18x + 32[/tex]
Now we use this simple formula to find the vertex (h, k)
[tex]x = h = - \frac{b}{2a} \\ = - \frac{18}{2(3)} = - \frac{18}{6} = - 3 \\ h = - 3[/tex]
substitute -3 for x back into our original equation to solve for y our k value of our vertex
[tex]y = 3 ({ - 3})^{2} + 18( - 3) + 32 \\ = 3(9) - 54 + 32 \\ = 27 + 32 - 54 \\ = 59 - 54 \\ k = 5[/tex]
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
42 divided by (-7) =
the answer is -6.
the negative 7 turns the answer negative.
v + w at v = 2, w =5
Answer:
7
Step-by-step explanation:
if v=2 and w=5 you add 5 and 2 and get 7
If < is the angle sign
If y varies directly as x and inversely as z, and y=22 when x=4 and z=6, find y when x =10 and z = 25.
I give Brainliest! Please no links
High School
Please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please AND SHOW YOUR WORK
Answer:
Step-by-step explanation:
6) y = 2x² + 6x - 80
1) y = 2*x² + 2*3x - 2*40
y = 2 [ x² + 3x - 40]
2) Sum = 3
Product = -40
Factors = (-5) ; 8 {-5 +8 = 3 ; (-5)*8 = -40}
y = 2 [ x² + 8x - 5x - 40]
= 2 [ x(x + 8) - 5(x + 8) ]
= 2 [ (x +8) (x - 5)]
y = 2(x +8)(x -5)
b) y = 0
2(x + 8)(X - 5) = 0
x + 8 = 0 ; x - 5 = 0
x = -8 ; x = 5
(-8) ; 5 are the zeros.
what is the value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 ?
a. 5/12
b. 7/12
c. 11/12
d. i don’t know
Answer:
B.[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}[/tex]
So B is the correct answer.
Expression is a combination of operators, variables and numbers.. The value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.
What is Expression?Expression is a combination of operators, variables and numbers.
The given expression is one by two times of m minus two by three times n.
1/2 (m-2/3n)
where m and n are two variables with values m equal to three by two 3/2 and n equal to one by two.
1/2 (3/2-2/3(1/2))
Firstly we solve the value in parenthesis.
1/2 (3/2-1/3)
LCM of two, three is six
1/2 ((9-2)/6)
Subtract nine and two we get seven
1/2 (7/6)
Now one by two times of seven by six
7/12
So value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.
To learn more on expressions click:
https://brainly.com/question/14083225
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The picture is where my question is please answer it, thanks.
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.
Given that a group wants to visit a water park over the summer, and tickets cost $ 10 for each child and $ 15 for each adult, and the group has a total of $ 90 to spend on tickets to the water park, to determine how many people from each group went to the park, the following calculation should be made:
10X + 15Y = 90
Thus, there are different correct options:
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.
credit to: francocanacari
find the area
(not to scale)
Answer: no
Step-by-step explanation: no
PLEASE HELP
Absolute Value Inequalities
Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F
Answer:
45, 30, & 105
Step-by-step explanation:
<B=<D by alt. interior <s
180-150=30, so <C=30, <C=<A by alt interior <s
30+45=75
180-75=105
Shaheer takes 4 1/2 minutes to run ONE
PROPER LAP around the School
How many laps can he do in each time
a) 30 minutes
b) 20 minutes
c) 15 minutes
Answer:
Im not
sure but i think its (B) i really hope its right
Step-by-step explanation:
a man is 3 times as old as his son. the sum of their ages is 48 years, how old is the son?
Let the sons age = x
The dads age would be 3x ( 3 times the sons age)
X + 3x = 48
Simplify:
4x = 48
Divide both sides by 4
X = 12
The sons age is 12
1/5 divided by 2/3 help meee loll
Answer:
3/10 or 0.3
Hope this helps
the awnser is 0.3 .......................
Divide 28 bottles of water into two groups so the ratio is 3 to 4. Be sure to show your work.
Answer:
12:16
Step-by-step explanation:
28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.
Robin Bolton earns a monthly gross salary of 3,280 as a medical assistant she is considering a new position as a medical office manager which would pay 14.90 an hour with time and a half per hour for all 40 per week how many of overtime per week would robin need to work to earn the same amount as her current job
The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.
Monthly gross = 3,280 Weekly gross = 3280 / 4 = 820New position :
Pay per hour = 14.90Overtime = 1.5(14.90) = 22.35Let the number of overtime hours required weekly = t
Hence,
(14.90 × 40) + 22.35t = 820
596 + 22.35t = 820
22.35t = 820 - 596
22.35t = 224
t = 224 / 22.35
t = 10
Therefore, he'll need 10 hours of overtime.
Learn more : https://brainly.com/question/18112348
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
1. (3n+2)(n+3)
this is multiplying binomial by a binomial
Using the distributive property with FOIL:
(3n + 2) ( n + 3)
3n² + 9n + 2n + 6
3n² + 11n + 6
HELP ME PLEASE WITH THIS QUESTION! :D
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
(a)
3 × a × 2 × b
= 3 × 2 × a × b
= 6ab
(b)
[tex]c^{5}[/tex] × c
= [tex]c^{(5+1)}[/tex]
= [tex]c^{6}[/tex]
(c)
2[tex]y^{4}[/tex] × 5y³
= 2 × 5 × [tex]y^{4}[/tex] × y³
= 10 × [tex]y^{(4+3)}[/tex]
=10[tex]y^{7}[/tex]
(d)
3gh² × 4g³h³
= 3 × 4 × g × g³ × h² × h³
= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]
= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]
Without using a calulator, find A and B, A^B - B^A = 1.
Answer:
A = 1
B = 0
Step-by-step explanation:
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x <47)?
A. 0.16
B. 0.025
C. 0.975
D. 0.84
Answer: A
0.16
Step-by-step explanation:
just took it
(5,6) and (6,8) equation of line
factor the following equation
1263 + 14b2 + 30b + 35
Answer:
Step-by-step explanation:
2 ( 7 b 2 + 15 b + 649 )
Answer:
1298+28b+30b
1298+58b
2(649+29b)
Can you use mechanical pencils on the PSAT?
Answer:
no
Step-by-step explanation:
only number 2 pencils im pretty sure
3. Solve the following questions.
(a) x +3 = 5
(b) 2x – 3 = 5
4. Solve the following questions.
(a) - 17 = -10
(b) x+7
___ =13
-2
Answer:
3a. x=8 3b. x=4 4a. 7 4b. -13.5
A car is traveling at a rate of 72 miles per hour. What is the car's rate in feet per second? How many feet will the car travel in 2 seconds? In your computations,
use the fact that I mile is equal to 5280 feet. Do not round your answers,
Answer:
The rate of travel is 105.6 feet per second, so 211.2 feet could be travelled in 2 seconds.
Step-by-step explanation:
If you take 5280 times 72 it equals 380160 which is the total amount of feet travelled in an hour so you divide it by 60 giving you 6336 which is the total feet travelled in 1 minute and you divide it 1 more time to get 105.6 which is the total feet travelled in 1 second. Hope this helps!
Ben deposited $500 into a savings account at a local bank that earned 5% interest per
year. How much interest does he earn per year?
Answer:
$25
Step-by-step explanation:
500*0.05=25
Answer:
$25 because 100 is half of 500
an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural
Answer:
2.4hrs or 2hrs 24 minutes
Step-by-step explanation:
3/5 × 4/1 = 12/5
60÷5=12
12×12=144
144÷60=2.4hrs
findthe classification schemes of a fungues
Step-by-step explanation:
The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.
PLSSS HLEPP ME OUTT ITS URGENTTTT