Answer:
29 is the correct answer. Hope you like my answer.
Solve the following quadratic by
completing the square.
y = x2 – 8x + 5
Answer:
x = 4 ± √11
Step-by-step explanation:
hello :
x²-8x+5= x² -2(4 )(x)+5
x²-8x+5= x² -2(4 )(x)+5 = ( x² -2(4 )(x) +4²) -4²+5
= (x-4)²-11 .....( completing the square )
x²-8x+5= 0 means : (x-4)²-11 = 0
(x-4)²=11 but : 11 = (√11)² = ( - √11)²
x-4 =√11 or x-4 = -√11
x = 4 ± √11
Answer:
x = 4 ± [tex]\sqrt{11}[/tex]
Step-by-step explanation:
To solve the equation let y = 0 , that is
x² - 8x + 5 = 0 ( subtract 5 from both sides )
x² - 8x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 5 + 16
(x - 4)² = 11 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{11}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{11}[/tex]
Rosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.
Answer:
23
Step-by-step explanation:
Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)
Adam won $49 in a contest with 3 of his friends. How much money will each person get if they split the money evenly?
LCM of 4, 6, 10, and 12
Answer:
360 is the LCM of 4,6,10 and 12
Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?
Someone help PLZ make sure it’s right if it is will mark brainiest
Answer:
The measure of the indicated angle to the nearest degree is 68°
Step-by-step explanation:
hope it helps
A company's flexible budget for 12,500 units of production showed sales, $50,000; variable costs, $20,000; and fixed costs, $15,000. The operating income expected if the company produces and sells 15,000 units is:
Answer: $21000
Step-by-step explanation:
First, we calculate the contribution margin which will be:
=Sales - Variable cost
= $50,000 - $20,000
= $30,000
Therefore, the contribution margin per unit will then be:
= $30,000 / 12500
= $2.4 per unit
The operating income will be the difference between the total contribution margin and the fixed cost. This will be:
The total Contribution margin will be:
= $2.4 × 15000
= $36000
Fixed costs = $15000
Operating income = $36000 - $15000
= $21,000
If the triangle is reflected over the y axis what coordinate pair would be contained within the triangle
Answer:
(-4,-4)
Step-by-step explanation:
The reflected triangle will be in the third quadrant. Option 2 is in the first quadrant, option 3 is in the first quadrant as well, and option 4 is in the second quadrant. That leaves option 1, which you can see is in the third quadrant. Option 1, (-4,-4), is the only plausible solution.
Someone help plz make sure it’s right no websites plz if right will mark brainiest
Answer:
Step-by-step explanation:
tangent is oppisite over adjacent so 24/32 which simplifies to 3/4
Answer:
3/4
Step-by-step explanation:
Tan A= Opp/ Adj
Tan A= 24/ 32
Tan A= 3/4
I need help asap
PLEASE HELP
Answer:
f(2) = -3
f(0) = -5
f(-1) = -6
f(1) = -4
f(8) = 3
f(5) = 0
Step-by-step explanation:
us the f value and substitute for x.
1) f(1)= 1 - 5 = -4
2) f(-1) = -1 -5 = -6
3) f(2) = 2 - 5 = -3
4) f(0) = 0 - 5 = -5
5) f(5) = 5 - 5 = 0
6) f(8) = 8 - 5 = 3
then match the f value with the correct answer
A westbound train travels 16 miles per hour slower than the eastbound train. If two trains are 800 miles apart after 5 hours what is the rate of the westbound train?
Answer:
6
Step-by-step explanation:
The rate can be calculated as follows
x + x -16
2x-16
(2x-16)×5
10x - 80= 800
10x = 300-80
10x, = 220
x = 220/10
= 22
22-16
= 6 mph
Hence the rate of the west bound tsin is 6mph
76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)
Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
1) Find the perimeter
[tex]P=5l[/tex] where l is the side length
Plug in the side length 7.6 cm
[tex]P=5(7.6)\\P=38[/tex]
Therefore, the perimeter of the pentagon is 38 cm.
2) Find the area
[tex]A=\frac{1}{2} Pa[/tex]
Plug in the perimeter (38) and the apothem (5.2)
[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]
Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!
given the function w(t) = 15t - 1, w(-1/3)=?
Answer:
-6
Step-by-step explanation:
Plug in -1/3for t
W(-1/3)=15(-1/3)-1=-5-1=-6
Answer:
-6
Step-by-step explanation:
substitute -1/3 into w(t) = 15t - 1
=> w(-1/3) = 15(-1/3) - 1
=> w(-1/3) = -6
Determine the intercepts of the line.
Answer:
-8,-6
Step-by-step explanation:
It’s a graph please help
Answer:
(2;6)
Step-by-step explanation:
it will be in first quarter
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
i will need the answer for this
Answer:
Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4
Step-by-step explanation:
Find the upper bound for the following length:
A) 18.7cm correct to 1 decimal place.
B) 58.37cm correct to 2 decimal places.
Please help.
Part A
Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"
Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8
So this means that the largest we can measure is 18.74 and it is the upper bound we're after.
Answer: 18.74 cm=========================================================
Part B
We use the same idea as part A, but now we're extending out one more decimal place.
We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374
By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm
Answer: 58.374 cm
Hi how do I do this ❤️
Answer:
51
Step-by-step explanation:
Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?
Answer:
The answer is 50.24
Step-by-step explanation:
Equation is: 3.14 times 4²
Radius is 1/2 the diameter
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer:
x = price of adult tickets = $7
y = price of students tickets = $6
Step-by-step explanation:
Let
x = price of adult tickets
y = price of students tickets
7x + 7y = 91 (1)
14x + 12y = 170 (2)
Multiply (1) by 2 to
14x + 14y = 182 (3)
14x + 12y = 170 (2)
Subtract (2) from (3) to eliminate x
14y - 12y = 182 - 170
2y = 12
y = 12/2
y = 6
Substitute y = 6 into (1)
7x + 7y = 91 (1)
7x + 7(6) = 91
7x + 42 = 91
7x = 91 - 42
7x = 49
x = 49/7
x = 7
x = price of adult tickets = $7
y = price of students tickets = $6
Shirlee cleans house as a side job, this weekend she made $425. If she puts 15% towards her savings how much will she put in her savings account?
Answer:
$63.75
Step-by-step explanation:
Find how much she will put in her savings account by finding 15% of 425
Multiply 425 by 0.15:
425(0.15)
= 63.75
So, Shirlee will put $63.75
Answer:
$63.75
Step-by-step explanation:
Since percent is out of 100. 15% divided by 100%, multiplied by 425.
Resultado de esta cuenta Explicada cuenta completa:
(6+3)²=
81 is the correct answer
hope it helps you have a good day
ANSWER FOR BRAINLIEST:
The mean of Tom’s scores on 5 tests was 77.4%. The scores on his first four tests were 88, 77, 70, and 72. What was Tom’s score on his fifth test?
Answer:
Tom got 80% on his fifth test
Please answer question attatched thanks :)
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
PEOPLE YOU ARE SMARTER THAN ME HELP
Answer:
1/2
Step-by-step explanation:
Answer: 1/2
length of A is 6 units
length of B is 3 units
dilated / original
3/6 simplified is 1/2
Write an equivalent expression using Distributive property.
28 + 42
( How did you solve)
Answer:
the answer is 7(4 +6)
Step-by-step explanation:
24 + 42
7(4 + 6)
Answer quickly please
Answer:
d is the answer
Step-by-step explanation:
ILJ and JKI
HELP!!!
A ratio is a comparison between two quantities with different kinds of units. True Or False
Answer:
False
Step-by-step explanation:
A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.
Which is the number name for 32.611? thirty-two and ciy bundrom
Answer:
Winnipeg.
Step-by-step explanation:
