Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
The value of a is 36 and b = -6.
What is the quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of: ax² + bx + c = 0.
The given expression is;
[tex]\rm x^2-12x+a=(x+b)^2[/tex]
The solution of the equation is determined in the folllowing steps given below.
[tex]\rm x^2-12x+a=(x+b)^2\\\\x^2-12x+a=x^2+2xb+b^2\\\\2xb + b^2 = a-12x[/tex]
On comparing the equation
[tex]\rm 2b =-12\\\\b =\dfrac{-12}{2}\\\\b=-6[/tex]
The value of a is;
[tex]\rm a=b^2\\\\b=-6\\\\a=(-6)^2\\\\a=36[/tex]
Hence, the value of a is 36 and b = -6.
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A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear equation to find the number of tomatoes sold.
Answer:
16 tomatoes
Step-by-step explanation:
50+3t=98
3t=48
t=16
Question 7 using substitution if you don’t mind. Help please.
y= -2 and x= 1 according to the solution in the picture
Answer:
x = 1
y = -2
Step-by-step explanation:
3x - 2y = 7
4x + y = 2 then y = 2 - 4x
substitute for y:
3x - 2(2 - 4x) = 7
reduce:
3x - 4 + 8x = 7
11x = 11
x = 1
y = -2
What is (4 x 100) + 20.
Answer:
420 is the correct answer
Answer:
420
Step-by-step explanation:
1/tanA-1/tan2A=cosec2A
Answer:
we have to prove it or solve it
A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
Keith paid 8.44 each for 5 lizard toys and got 5 cages for 8.45 each with 5 20 bills . How much change did Keith recive
Answer:
19.51
Step-by-step explanation:
Answer:
15.55
Step-by-step explanation:
First, find the total cost of the items
8.44 * 5= 42.20
8.45 * 5= 42.25
42.20 + 42.25= 84.45
Then the amount of money given
20 * 5= 100
Last, subtract the cost from the amount given
100 - 84.45 =15.55
Kia donated a $20 bill plus 1 of
the balance in her short-term savings
account to a medical fundraiser. If Kia
donated a total of $100, how much was
in her short-term savings account?
$100 - $20 = $80
Understand?
7 cm
4 cm
4 cm
4 cm
area of base
6.9 cm2

Find the total surface area is I’ll mark Brainlest if you answer this and my other 2 questions plzzz
Answer:
AT=48.9
Step-by-step explanation:
Formula:
step 1; Aʟ = P ʙᴀsᴇ × Ap
2
step 2; Aᴛ = Aʟ + Aʙᴀsᴇ
Ap= 7cm
Abase= 6.9cm² P️= a + b+ c
length side️=4cm
AL = (4+4+4) × 7
2
= 12 × 7
2
= 84 ÷2
AL = 42
AT = AL + Abase
= 42 + 6.9
AT = 48.9 cm
Find the inverse of the function, f(x)=5(x-4)^3 +6
trade x and y
Answer:
y=[(x-6)/5]^(1/3)+4
Step-by-step explanation:
f(x)=5(x-4)^3 +6
trade x and y
x=5(y-4)^3 +6
x-6=5(y-4)^3
(x-6)/5=(y-4)^3
[(x-6)/5]^(1/3)=y-4
y=[(x-6)/5]^(1/3)+4
EXAMPLE How many inches are in 6 miles? (1 mile=5280 feet, 1 foot=12 inches)
What property of equality is illustrated by the following statement?
If 3 x = y and y = 4x - 5 then 3x = 4x - 5.
A Distributive property
B Reflexive property
C Transitive property
D Symmetric property
Answer:
A. Distributive Property
Step-by-step explanation:
Both 3x and 4x-5 equal y therfore both expressions equal each other.
What is the input value for which g(x) = 3 khan academy
Answer:
x = 9
Step-by-step explanation:
If g(x) = 3, that means that the output is three.
Outputs are y values.
Look at the graph. When y=3, the x = 9.
So the input value for which g(x) = 3 (aka that gives the output y = 3) is x = 9
Help please!!!
I’m failing math and I need help
Answer:
3.
vertically opposite angles ,
= 30°
4. 50° +30°+2x = 180°
80°+2x=180°
2x=180°-80°
2x=100°
Which point is closest to the x axis. (4, 8) (2, 11) (8, 7) (3, 13)
Answer:
Answer: 8,7
Step-by-step explanation:
sorry I'm 1 year late :((
What is the domain of the function y = log(x + 3)?
O
(-00,00) (-00,00)
(-00, -3)
(0,co)
(-3,0)
DONE
Answer:
the domain for the function y=log(x+3) is (-3,oo).
The domain of the function y = log(x + 3) is (−3, +∞), or in interval notation, (−3, ∞).
The domain of the function y = log(x + 3) is the set of all possible values that x can take without making the expression undefined.
For the logarithmic function y = log(x), the argument of the logarithm (x in this case) must be greater than zero, otherwise the result is undefined.
So, to find the domain of y = log(x + 3), we need to solve the inequality x + 3 > 0, which gives x > -3.
Thus, the function y = log(x + 3) is (−3, +∞), or in interval notation, (−3, ∞) is the answer.
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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is underfilling the bags. A 23 bag sample had a mean of 400 grams with a variance of 900. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ ≥ 402
H1 : μ < 402
Test statistic :
n = 23
Sample Mean, x = 400
Variance = 900
σ = sqrt(900) = 30
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (400 - 402) ÷ 30/sqrt(23)
Test statistic = - 2 / 6.2554324
Test statistic = - 0.3197221
Test statistic = - 0.3197
Critical value :
Using the Tcritical value calculator
Tcrit; α = 0.025, df = n - 1 = 23 - 1 = 22
Tcritical = 2.074
Reject Null : if Test statistic ≤ Tcritical (left tail test)
Since ;
Test statistic ≤ Tcritical ; We reject the Null
Smallest number to the largest number 0.078,0.78,0.87,0.708
Answer:
Smallest: 0.078, 0.708, 0.78, 0.87 :Largest
Step-by-step explanation:
4
2
Tyrone mixed quart of red paint with quart of yellow paint
16
16
How much paint does Tyrone have in the mbuture?
Tyrone has
quart
Answer:2 quarts
Step-by-step explanation:
You randomly choose one game piece. Find the theoretical probability of each event. Reduce the fraction in lowest terms and
indicate the percentage rounded to the nearest hundredth, if necessary.
Answer:
Yellow= 1/2 or 50%chance
Red= 1/5 or 20% chance
Blue= 1/5 or 20% chance
Green= 1/10 or 10% chance
Step-by-step explanation:
There are 10 game pieces
5 are yellow
2 are red
2 are blue
And 1 is green
5/10=1/2=50%
2/10=1/5=20%
2/10=1/5=20%
1/10=10%
Add these up and you get 10/10 or 100%
Hope this helps and don't forget to follow!
Can you help A B C Or D image is here
Answer:
c
Step-by-step explanation:
3x3=9
6x3=18
10x3=30
12x3=36
Divide the given polynomial by the given monomial.
Answer:
Here is the answer. Solved
Ahh help!!
The paper water cups near the water jug are cones of radius 2 inches and height 4 inches if a water bottle of cylindrical shape has a radius of 2 inches and a height of 8 inches how many full paper cups of water are required to fill one water bottle?
Answer:
I think its 678.24
Hope it helps!
5th grade math. correct answer will be marked brainliest, answer the question please!
I put the work and answer in the picture attached!
For some reason Brainly thought I had swear words in here so I took a picture of my answer instead. :)
Prove that if a^x=b^y=ab^xy then x+y=1
Answer:
Below.
Step-by-step explanation:
Prove that if
a^x = b^y = (ab)^(xy) then x + y = 1.
From the second equation:
y = 1 - x
So we have:
a^x = b^y = b^(1-x)
Taking logs:
x ln a = (1-x)ln b
x ln a + x ln b = ln b
x = ln b / ( ln a + ln b)
x = ln b / ln ab.
This is true if x + y = 1.
Now consider b^y = (ab)^(xy):
b^(1 - x) = (ab)^(x(1- x)
ln b - x ln b = x(1 - x)ln ab
ln b - x ln b = x ln ab - x^2 ln ab
Now we substitute for x = ln b / ln ab in this expression.
If left side = right side then we have proved this identity and therefore the original one.
Left side = ln b - (ln b / ln ab) * ln b = ln b - (ln b)^2 / ln ab.
Right side = (ln b / ln ab) * ln ab - [(ln b)^2 / (ln ab)^2] * ln ab
= ln b - (ln b)^2 / ln ab.
Left side = right side so this identity is true, and so the original one
( x + y = 1) is true also.
In the figure, m dbe=50. WHAT IS x
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
which pair of terms has 4a as the greatest common factor ? 8a and 18a , 8b and 16a , 12a and 16ab , 20a and 27a
Answer:
12a and 16ab
Step-by-step explanation:
What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)
Answer:
1:2
Step-by-step explanation:
18 inches to 1 yard
We need to convert 1 yard to 36 inches
18 inches : 36 inches
Divide each side by 18
18/18 : 36/18
1:2
In a half-time skills contest Addison received $5 for each free throw she made and $10 for each 3- point shot. She earned a total of $140. The amount of free throws she made was four less than twice the amount of three pointers. How many of each did she make?
Answer:
o.o
Step-by-step explanation:
The price of a car was Rs.1,50,000 last year. It has decreased by 10% this
year. The new price is
Answer:
$135000
Step-by-step explanation:
150000*(1-0.1)=150000*0.9=135000
