Answer:
Step-by-step explanation:
This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:
[tex]-4p(y-k)=(x-h)^2[/tex]
The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:
[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:
[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:
[tex]-4y-8+16=(x^2+8x+16)[/tex]
The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:
[tex]-4y+8=(x+4)^2[/tex]
We're getting close. Now we need to just factor out the -4 on the left to get:
[tex]-4(y-2)=(x+4)^2[/tex]
If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).
Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...
Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
Pls tell me I really need help
Answer:
The answer is C or 44/12
Step-by-step explanation:
1/2 is equivalent to 3/6
1 4/6 is equivalent to 1 4/6 or 10/6
1 2/4 is equivalent to 1 3/6 or 9/6
When you add all of these together you get 22/6
Then you multiply 22/6 by 2 to get 44/12
Susan answered 60% of the test questions correctly. She answered
21 questions correctly. How many questions were on the test?
A. 12.6
B. 56
C. 35
D. 21
i need these answers!!! will give branliest
5/6 divided by 1/4
1/2 divided by 3/5
15 1/2 divided by 3/4
4 2/7 divided by 1 2/3
Please help. I will brainliest!!
Answer:
12. 20 ft
13. 4.5
Step-by-step explanation:
12. (29x29)-(21x21)=400
sq root 400= 20
13. (2x2)+(4x4)= 20
sq root 20= 4.5
so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc
is 3?
Answer:
The answer is C=4. Hope it helps :)
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
Bob wants to make a profit of $1.25 on each fish. How much should he sell each fish for to make this profit? Show your calculation.
note that each fish costs 2.14
Bob would have to sell each fish at $3.39 in order to make a profit of $1.25 on each fish sold
What is the selling price per fish?
The selling price per fish can be determined as the sum of the cost price of $2.14 and the profit per fish which is $1.25, in essence, the selling price in this case is the sum of the cost and profit or alternatively, we can model the profit as the selling price minus the cost price as shown below:
profit per fish=selling price-cost price
profit per fish=$1.25
selling price=unknown
cost price=$2.14
By making the selling price the subject of the formula, we can determine the selling price using the formula above
$1.25=selling price-$2.14
selling price=$2.14+$1.25
selling price=$3.39
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an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
evaluate -5 - 15 + 4 + 15
Answer:
Step-by-step explanation:
-5+-15= -20
4+15= 19
-20+19
-1
Answer:
-1
Step-by-step explanation:
-5 - 15 + 4 + 15
-20 + 19
-1
plzzzzz mark me brainliest
Write the fraction as a decimal.
16/5
Answer:
3.2
Step-by-step explanation:
Whoever answers gets brainlist!
Answer:
21 over 6 (21/6)
26 over 6 (26/6) =47 over 6 (47/6)
your final answer is 7 5/6
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]
Which simplifies to:
[tex] \frac{21}{6} + \frac{30}{6} [/tex]
When added is:
[tex] \frac{51}{6} [/tex]
When transformed back into a Mixed Fraction:
[tex]8 \frac{3}{6} [/tex]
A stray dog ate 30 of your muffins. That was 5/7 of all of them! How many are left?
Answer:
42
Step-by-step explanation:
5/7x=30
x=42
Answer:
40
Step-by-step explanation:
What is the value of x in the equation 3/4(1/4x+8) - (1/2x+2)=3/8(4-x)-1/4x
Answer:
value of x is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?
0.45
0.46
0.54
0.59
Answer:
.54
Step-by-step explanation:
The probability is 33%.
what is probability?The probability is the measure of the likelihood of an event to happen.
Given:
Random student to studies for test is 0.6, and to does not study for test is 0.4.
Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45.
Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
P(A) =55%
P(B)= 20%
60% of the students study.
So, the probability that a student studies, and gets B or higher is:
Probability =P(A) * 0.6
P= 55* 0.6
Probability = 33%
Hence, the probability is 33%
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Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter of 100 yd. What is the length of each side?
yd
Answer:
25 yds
Step-by-step explanation:
Since it is a square all sides are equal and there are 4 sides so you divide the perimeter, 100, by 4 to get 25 yds.
Solve the inequality. 2(4x – 3)-3(3x) + + 5x?
Answer:
2 (2 x - 3)
Step-by-step explanation:
Simplify the following:
2 (4 x - 3) - 3×3 x + 5 x
-3×3 = -9:
2 (4 x - 3) + -9 x + 5 x
Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):
2 (4 x - 3) + (5 x - 9 x)
5 x - 9 x = -4 x:
2 (4 x - 3) + -4 x
2 (4 x - 3) = 8 x - 6:
8 x - 6 - 4 x
Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:
(8 x - 4 x) - 6
8 x - 4 x = 4 x:
4 x - 6
Factor 2 out of 4 x - 6:
Answer: 2 (2 x - 3)
d=1/2at^2+s, solve for a
Step-by-step explanation:
Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.
help in the next 2 mins!!! -4+7-3
Answer:
0
Step-by-step explanation:
-4+7-3=0
-4+7=3
3-3=0
Answer is 0
Shamus owes his parents $162 he pays them 60% of the $45 he earns as a soccer referee each week. how many weeks will it take shamus to pay all of the money he owes his parents?
Answer:
24
Step-by-step explanation:
so knnd
Answer: 24 is wrong
Step-by-step explanation:
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
k=10/8
ggggggggggggggggggg
Express 44 copies in 4 minutes as a unit rate.
Answer:
11:1
Step-by-step explanation:
For every 11 copies, 1 minute passes. Four minutes passed in this case and thus 11*4 would equal 44 and 1*4 would equal 4.
PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?
Question 1 options:
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
The answer would be:
8 and -1/8
1 and -1
And could be 0 and undefined, but I'm not 100% sure
solve. -1/2 + (3/4 x 4/9) =
A. 1/9
B. -1/5
C. 5/6
D -1/6
Answer:
D, -1/6
Step-by-step explanation:
-1/2+(3/4*4/9)
Multiply equation inside the parentheses
3/4*4/9=12/36=1/3
Substitute 1/3 into original equation
-1/2+1/3=1/3-1/2
Make denominators the same
2/6-3/6
Simplify
-1/6, D
twelve increased by a number
Answer:
12+# OR 12+x
Step-by-step explanation:
Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.
what is the slope for (1,3) and (1,-2)
Answer:
-6
Step-by-step explanation:
-2-3/1-1
HELP PLEASE I NEED HELP ASAP!!
Solve for x. (Simplify)
Answer:
x = 8.75
Step-by-step explanation:
the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]
x = 8.75
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3
Answers above on the picture^ thank you:)
Answer:
#3
Step-by-step explanation: