Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
Simplify the expression completely.
Answer: B
Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:
2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]
Hope this helps.
Rewrite in standard form.
4y = 3 - 4/5x
Answer:
−17x+10y=3
Step-by-step explanation:
The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.
Answer:
0.00714285 less per foot
Step-by-step explanation:
Solve for x.
х/12=3/2
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a black picture card.
Answer: 1 in 51
Step-by-step explanation:
Answer:
23/26
Step-by-step explanation:
A standard deck of cards has 52 cards.
The cards are divided into 13 cards of each of 4 suits.
2 suits are black and 2 suits are red.
Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.
The total number of cards in a deck is 52.
52 - 6 = 46
There are 46 cards that are not black suit cards out of 52 total cards.
p(not black face card) = 46/52 = 23/26
i need help on this asap pls help??
Answer:
Step-by-step explanation:
Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.
WILL MARK BRAINLIEST IF ANSWER IS CORRECT
Solve
20÷4+2•5
Answer: the answer is 8
Step-by-step explanation:
Hope this helped.
hi have a nice day
20
4
+(2)(5)
=15
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3
Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)
Answer:
B
Step-by-step explanation:
Given equation is 4x+3y = 12
(3,0) is a solution because
LHS =
⇛ 4(3)+3(0)
⇛ 12+0
⇛ 12
⇛ RHS
LHS = RHS
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Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....
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help please its overdue
Answer:
B) 4cm
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Suppose the regression line for the number of runs scored in a season, y , is given by ˆy=−790+5400x , where x is the team's batting average. For a team with a batting average of 0.235, find the expected number of runs scored in a season. Round your answer to the nearest whole number. If we can expect the number of runs scored in a season is 400, then what is the assumed team's batting average? Round your answer to three decimal places.
Answer:
479 = expected runs
0.220 = assumed batting average
Step-by-step explanation:
ˆy=−790+5400x
For an x value of 0.235, we have to calculate ˆy, or the predicted value. Plugging 0.235 in for x, we get
-790 + 5400 * 0.235 = 479
If ˆy = 400, we have to calculate x. Plug 400 in for y in our equation to get
400 = -790 + 5400x
add 790 to both sides to isolate the x and its coefficient
1190 = 5400x
divide both sides by 5400 to solve for x
x= 0.220
X^3+3x^2-19/x-2
Find the quotient and remainder using synthetic division:
The quotient is
The remainder is
Submit Question
Step-by-step explanation:
x³ + 3x² - 19 ÷ x - 2 = x² + 5x + 10 rem 1
x³ - 2x²
5x² - 19
5x² - 10x
10x - 19
10x - 20
1
The quotient is ⇒ x² + 5x + 10 The remainder is ⇒ 1Answer:
quickly:
x-2=0 x^3+3x^2-19
x=0+2 = 2^3+3(2)^2-19
x=2 = 8+6^2-19
=8+36-19
=42-19
=23
The remainder is 23
What will be the average of the first five
consecutive numbers starting from 11
Answer:
13
Step-by-step explanation:
The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.
The average of {11, 12, 13, 14, 15} is 13.
Solve for t
The equation is in the photo
Answer:
[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]
Step-by-step explanation:
[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]
How do I do this? It's a modulus question.
Help please, I attached a screenshot
[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]
Answer:
[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.
Answer:
25.024 mi/gal
Step-by-step explanation:
To find miles per gallon, divide miles by gallons.
(312.8 mi)/(12.5 gal) = 25.024 mi/gal
NEED NOW PLEASE..........
Answer: C. -12 - 3 + 9
Step-by-step explanation:
-12 because the fish are 12 m below the ocean.
-3 because the fish swim down.
+9 because the fish swim up.
The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.
[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]
Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)
[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]25 + {x}^{2} = 64[/tex]
Subtract both sides 25
[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]
[tex] {x}^{2} = 39[/tex]
Thus :
[tex]x = \sqrt{39} [/tex]
[tex]x = 6.245[/tex]
These are so random? I don’t know why I have to put these? Ignore them
state whether each of the following equations represent growth or decay.
Answer:
answer below
Step-by-step explanation:
f(x) = a* bˣ
if a>0 and b>1 : growth
if a>0 and 0<b<1 : decay
5) 7) 9) : growth
6) 8) 10) : decay
When analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.
When determining whether an equation represents growth or decay, we need to examine the relationship between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.
Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents decay. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.
To know more about equations here
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An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory
Answer:
It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.
Step-by-step explanation:
The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.
So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.
The answer has to be "about 21,900,000."
Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}
Step 1
Step 2
Step 3
Step 4
Step 5
93
×51
3
90
150
+4,500
4,743
1×3 ones
1×9 tens
50×3 ones
50×9 tens
Since molly's solution tally's with the given solution, hence Molly's solution is correct.
Given the working on a partial product of 93 and 51 carried out by Molly as shown:
[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}[/tex]
This partial product can also be solved as shown below:
[tex]93 \times 51 = (90+3)\times (50+1)[/tex]
Applying the distributive law:
[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]
Since molly's solution tally's with the given solution, hence Molly solution is correct.
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Not graded help please
Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.
According to the information provided the statement of both people is incorrect (option D)
Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:
0.50 x 1000 = 500
On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:
1 ÷ 50 = 0.02
According to the above, none of the statements of the characters is true.
Learn more about mathematics in: https://brainly.com/question/19003099
Answer:
Neither statement is correct
Step-by-step explanation:
Got it right on Khan Academy
Select the best estimate for the quotient.75.1÷9=
Answer:
8.3 44444 is the answer
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 77 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 104 kilograms. How much does each type of box weigh?
Renee worked a total of 16 1/5 hours last week. She spent 1/3 of that time reviewing reports. How many hours did she spend reviewing reports?
Answer:
Step-by-step explanation:
First 1 ÷ 5 ×16
= 3.2
Then 3.2 × 1 ÷ 3
= 1.06
Which function has a greater rate of change?
Answer:
A
Step-by-step explanation:
Because
Answer:
Step-by-step explanation:
it’s a
