Answer:
first option
Step-by-step explanation:
3x² - 18x + 5 = 47 ( subtract 5 from both sides )
3x² - 18x = 42 ( divide through by 3 )
x² - 6x = 14
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 14 + 9
(x - 3)² = 23 ( take square root of both sides )
x - 3 = ± [tex]\sqrt{23}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{23}[/tex]
Answer:
a
Step-by-step explanation:
show the solution for 3x-2 ≥ x-1
Answer:
3
x
2
+
x
−
2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x \geq \frac{1}{2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]3x - 2 \geq x-1\\\rule{150}{0.5}\\\rightarrow 3x -2 + 2 \geq x - 1 + 2\\\\\rightarrow 3x \geq x + 1\\\\\rightarrow 3x -x \geq x - x + 1\\\\\rightarrow 2x \geq 1\\\\\rightarrow \frac{2x \geq 1}{2}\\\\\rightarrow \boxed{x \geq \frac{1}{2}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a) Her mother has breast cancer but she doesn't. O b) She has breast cancer. c) Her sister has breast cancer but she doesn't. d) Health insurers can never discriminate based on genetic information in this way.
Answer:
i think all can be corrected. and all r right
You get paid $10 an hour. How many hours do you gotta work till you make $5000
Answer:
500 hrs equal to 5000 dollars
a. At 9am, the temperature was 34 degrees be
At 8pm, it dropped 6 degrees. What was the ending temperature?
b. At 6am, the temperature was 65 degrees above zero, by 2pm it dropped 17
degrees. At 6pm it dropped another 10 degrees. What is the ending
temperature?
Answer:
hi I need help
Step-by-step explanation:
9x + 15 > 3- 3x what’s the solution and steps
A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)
3.14 inches
3.15 inches
3.16 inches
3.17 inches
Answer:
3.16 is the answer
Hope it helps!
Step-by-step explanation:
The approximate length of one side of the piece of cheese is 3.16 inches so option (C) will be correct.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Area of square = Side²
The perimeter of the square = 4× side
Length of diagonal of square = √(2) × side
Let's say the length of the side of the piece is x
Then,
Area = x²
Since it covers 10 inches² so it means it has an area of 10 inches²
So,
x² = 10 ⇒ x = 3.16 inches.
Hence "The approximate length of one side of the piece of cheese is 3.16 inches".
For more about a square,
https://brainly.com/question/2189895
#SPJ2
Which number is a perfect cube?
03
O 15
064
0 567
please help this is for my study guide thanks!
Answer:
-23/40, 9/24, 20/32, 7/8, 10
Step-by-step explanation:
Create and solve another problem about jeremiah and his lemonade stand which requires multiplying decimals
Answer:
Step-by-step explanation:
Laser Kingdom charges an $80 flat fee to rent out their laser tag room for birthday parties, and an additional $9 per person (p). The maximum amount Kaylee will spend on her daughter’s birthday party is $250. How many friends is her daughter allowed to ask to the birthday party?
f(x)=4x^2+2x-6.find the range of function f(x).
Answer:
y ≥ 6.25
Step-by-step explanation:
f(x)=4x²+2x-6
positive (4) leading coefficient, curve is left up and right up
x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4 (-0.25)
y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4 (-6.25) ... extreme
range: y ≥ - 6.25 [-6.25,∞)
Tickets for a raffle cost
$6. There were 743 tickets sold. One ticket will be randomly selected as the winner, and that person wins
$1100 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Answer:
Tickets for a raffle cost $14. There were 834 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1200 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
-----
Random "winning" value::.....1214....... -14
Probabilities:::::............1/834.... 833/834
----------
Expected Value = (1*1214 -14*833)/834 = -$12.53
Step-by-step explanation:
Fourteen less children's meals were served
than adult meals at a barbecue. Children's
plates were $1.50 each and adults' plates
were $2.00 each. If the total amount of
money collected was $441, how many of
each type of plate was served?
solve pls brainliest
Step-by-step explanation:
17/6 = 2⅚
hope this helps you.
Answer:
[tex] \frac{17}{6} = 2 \frac{5}{6} [/tex]
Step-by-step explanation:
[tex] \frac{17}{6} = \frac{12 + 5}{6} = \frac{12}{6} + \frac{5}{6} = 2 + \frac{5}{6} = 2 \frac{5}{6} [/tex]
───────────── ೄྀ࿐ ˊˎ-
PRELIMINARY
Fractions are part of a whole. For example, if an object is divided into two equal parts, the value of each part is half or one-half of the total number of objects. Fractions can be expressed in the form: a/b
a is the numeratorb is the denominatorDISCUSSION
Fractions also have fractions in different forms but have the same value which are called equivalent fractions. Fractions can also be simplified. To find a fraction equal to a fraction, we can multiply (×) or divide (÷) the numerator and denominator of the fraction by the same number. And to simplify fractions, we can divide (÷) the numerator and denominator of the fraction with the same number.
**
There are various forms of fractions, including:
Common Fractions are fractions that consist of a numerator and denominator. Mixed fractions are fractions that consist of whole numbers and fractions. If the numerator of a fraction is greater than the denominator, the fraction can be converted into a mixed number. To get the mixed number form of a common fraction, divide the numerator of the fraction by the denominator. A decimal fraction is a fraction of tenths, hundredths, thousandths, and so on written using a comma (,).Percents are another form of fraction with a denominator of one hundred. Percent is written with the symbol %.**
Now from the discussion above, it turns out that ordinary fractions still have two more types, namely =
Pure Fraction➳ A pure fraction is a fraction whose numerator is smaller than the denominator.
Impure fractions➳ An impure fraction is a fraction whose numerator is greater than its denominator.
**
The arithmetic operations also apply to fractions, including:
Addition (+)Subtraction (-)Multiplication (×)Division (÷)................................
Answer Details:Subject: Mathematics
Grade: 5
Question Code: 2
Material : Chapter 5 - Fractions
Categorization Code : 5.2.5
Keywords: Definition of Fractions, Types of Fractions
10(2x - 5) = -60
Pls
Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.
(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?
Answer:
7 gal/min * 14 min = 98 gallons
Step-by-step explanation:
solve pls brainliest
Answer: 8>a
Step-by-step explanation:
If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.
3+2-1+[(5+2-3+10-4)+(2+7-6):(5+2-8)+3]
Answer:
= 14/1
= 14
Step-by-step explanation:
write six multiples of 2/5
Two baseball teams are playing each other twice. Enter the values to complete the possible outcomes for one team. Use W for a win and L for a loss. Then enter the number of outcomes in the sample space.
Answer:
2+2+2 x 2 so 12
Step-by-step explanation:
well since there’s two teams either of thme could win or lose or tie I think I’m I wrong though I’m really tired so
at what ordered pair do the lines x=4 and y=-3 intersect?
I NEEDD HELP PLS AND THANK YOU
What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom.
Answer:
Step-by-step explanation:
Face perimeter is
7.5 + 4(1.5) + 3(2.5) = 21 ft
Perimeter wall area
21(1.5) = 31.5 ft²
Face area (x2 for front and back)
2(7.5(1.5) + 2.5(1.5)) = 30 ft²
Total surface area
31.5 + 30 = 61.5 ft²
Hey ! Can anyone help with this question please and thanks
Answer:
x=9
Therefore angles 7x-4 = 6x-4 = 59 degree
Step-by-step explanation:
7x-4 = 6x-4 Findings; alternate angles
Although any coefficient angles can be set = to each other.
7x-6x-4 = +5 Subtract 6x from both sides
x -4 = 5
x = 5+4 Add 4 to each side
x = 9
Find the angle degree
6(x) + 5 = 7(x) - 4 Plug 9 in to x
6(9) + 5 = 7 (9) - 4
54 + 5 = 63-4
59 = 59
x = 59 degree.
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answer:
To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
hope its right
7. A caterer knows there is one broken egg in every 3 cartons. A carton contains 12 eggs.
A caterer plans to serve 1200 eggs. What is the best estimate the number of cartons the caterer should buy?
9514 1404 393
Answer:
103
Step-by-step explanation:
For 1200 eggs, the caterer needs ...
(1200 eggs)/(12 eggs/carton) = 100 cartons
of unbroken eggs.
The rate of broken eggs is 1 in 3×12 = 1 in 36, so the caterer must buy 36 eggs for each 35 unbroken eggs delivered.
Then the number of cartons that must be purchased is ...
(100 cartons)(36/35) = 102 6/7 cartons
The caterer should buy 103 cartons of eggs.
Rodney and Josiah each bought a package of the same kind of cookies at
the store. Rodney ate 1/2 package of cookies on Monday and 1/3 of the same package
on Tuesday. Josiah 5/12 ate of his package on Monday and 1/2 of the package on
Tuesday. Who ate more? How much more?
9514 1404 393
Answer:
Josiah ate 1/12 package more
Step-by-step explanation:
Each of them ate 1/2 package on one of the days. On the other day, Rodney ate 1/3 = 4/12 of the package, and Josiah ate 5/12 of the package.
Josiah ate 5/12 -4/12 = 1/12 more of the package of cookies.
A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments
Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k
Write the equation of the line that passes through the points (3,-2) and (-2,8).
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope (m) of line passing through points (3 , -2) and (-2 , 8) :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{ - 2 - 8}{3 - ( - 2)} [/tex][tex] \dfrac{ - 10}{5} [/tex][tex] - 2[/tex]slope (m) = -2
now, let's plug the value of slope (m) and coordinates of point (3 , -2) to find c (y - intercept)
[tex]y = mx + c[/tex]
[tex] - 2 = (3 \times - 2) + c[/tex][tex] - 2 = - 6 + c[/tex][tex]c = - 2 + 6[/tex][tex]c = 4[/tex]Y - intercept of the given line is 4, so the required equation will be :
[tex]y = - 2x + 4[/tex]Write an equation in standard form of the line that passes through (-4,-4) and has the slope -3/2
Answer:
y=-1.5x-10
Step-by-step explanation:
standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4
y=-1.5x-10