Answer:
Jackie is 32
Step-by-step explanation:
48 / 3 = 16
16 * 2 = 32
32 years old
Write the equation x2 + 6x + y2 – 8y = 19 in standard form.
Question 11 options:
1)
(x + 3)2 + (y – 4)2 = 44
2)
(x + 3)2 + (y – 4)2 =
3)
(x – 3)2 + (y – 4)2 =
4)
(x + 3)2 + (y + 4)2 = 44
Answer:
i think its 2
Step-by-step explanation:
The equation of x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given the equation as;
x² + 6x + y² - 8y = 19
We need to find the standard form of the equation.
Thus, we have,
(x² + 6x )+(y²- 8y) = 19
We shall complete the square for the term;
(x² + 6x + 9 - 9 ) + (y² + 4y + 16 - 16) = 19
Simplifying, we get,
(x² + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19
(x² + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16
Formula used :
x²+2xy+y² = (x+y)²
x²-2xy+y² = (x-y)²
Simplifying, we get,
(x + 3)² + ( y - 4)² = 44
Thus, the equation of x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.
Hence, Option A is the correct answer.
Learn more about equations here;
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Given that R= 6x + 5y
Find y when x = 8 and R =20
Give your answer as an improper fraction in its simplest form
Answer:
-28/5=y
Step-by-step explanation:
20=6(8)+5y
20=48+5y
-28=5y
-28/5=y
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
how many times can 200 go into 487
Solve for x.
9 - 2x = 4x - 9
Answer: x = 3
Step-by-step explanation:
9 - 2x = 4x - 9
18 -2x = 4x
18 = 6x
x = 3
Answer:
1/3
Step-by-step explanation:
you add the 2x onto the 4x to get 6x on one side on the other side you add on the nine so now you have 18=6x then you divide by 18 to get 6/18 or simplified 1/3 also 33.3 as a decimal
What is the missing number in this pattern?
2.704 * 10 = 27,04
2.704 * 100 = 270,4
2.704 * 1,000 = ???
Answer:
Step-by-step explain:
2.704 * 10 = 27,04
2.704 * 100 = 270,4
2.704 * 1,000 = 2,704
There are a total of 168 hockey games in the season and 7 are played at night. The season is played for 14 months. How many games were played each month if each month has the same number of games?
Answer: 8
Step-by-step explanation: I added 7+14 then whatever i got i divied that by 168 so 168 by 21 which equals 8 but don’t hate if it’s wrong i’m only in the grade 5
Max has 42 baseball cards. Jordan has b baseball cards. Max has 6 times as many baseball cards as Jordan Decide if each statement is correct. Choose Yes or No for each statement
Answer:
where are the statement?
Step-by-step explanation:
In equation form. What goes through the points (0, 4) and (2, 7)?
Answer:y=1.5x+4
Step-by-step explanation:
A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances that someone lives in their home for 40 years or more?
Answer:
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002
Step-by-step explanation:
Explanation:-
Given mean of the Population = 20 years
The standard deviation of the Population = 5.7 years
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]
= 1 - P( Z< 3.50)
= 1 - ( 0.5 + A(3.50)
= 0.5 - 0.4998 ( from normal table )
= 0.0002
Click on the measure that is equivalent to 3 kilometers!
Answer:
3000
Step-by-step explanation:
Answer:3000
Step-by-step explanation:
Solve for x.
13(x-3) = 39
X=1
X=4
x=6
x=10
60 is it rocking horse has a weight limit of 60 pounds what percentage of the weight limit is 114 pounds
Answer:
86.4
Step-by-step explanation:
2 + (3 + 5)2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Answer:
2 + (3 + 5)2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Step-by-step explanation:
Answer:
nauini
Step-by-step explanation:
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/15 for blue, 1/25 for green, 1/5 for pink, and 1/20 for black. What is the probability of pulling a black or pink card, written as a reduced fraction?
Answer:
Step-by-step explanation:
DAM I JUST STARTED LEARNING ABOut that
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.
The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
What is the area of the region bounded by the lines x= 1 and y= 0 and the curve y=xe^x^2?
Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
what linear equation in slope intercept from does this graph represent?
Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
simplify:
[tex] \frac{ \sqrt{4} }{ \sqrt[3]{4} } [/tex]
choices:
[tex]4 \frac{5}{6} [/tex]
[tex]4 \frac{1}{6} [/tex]
[tex]4 \frac{3}{2} [/tex]
[tex]4 \frac{1}{3} [/tex]
Step-by-step explanation:
= 4^1/2 /4^1/3
=4^1/2-1/3
=4^1/6
i got 90.50. does that seem right?
Step-by-step explanation:
90.50. as money if it is it would be $90.50
if as a number 9,050
A basketball player makes 145 out of 180 free throws. We would estimate the probability that the player makes the next throw to be
help please. Find the measure of each angle
1. 139
2. 41
3. 139
4. 139
5. 41
6. 139
7. 41
Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
Which of the ratios below has a unit rate of 8? Select all that apply.
A) 40:5
B) 24:16
C) 96:12
D) 48:6
E) 2:24
A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in slope intercept form for this line.
Answer:
y = ¾x + 1
Step-by-step explanation:
Point-slope equation for line of slope ¾ that passes through (-8,-5):
y+5 = ¾(x+8)
Put into slope-intercept form:
y = ¾(x+8) - 5 = ¾x + 6 - 5 = ¾x + 1
A bag of marbles contains 2 white, 3 black, 1 red and 4 blue marbles. Cate draws one marble from the bag, looks at it and then replaces it. What is the probability that she will draw a black marble and then a black marble?
A) 9/10
B) 9/100
C) 3/5
D) 1/25
Step-by-step explanation:
Number of black marbles = 3
Total number of marbles = 2 + 3 + 1 + 4 = 10
P(Drawing a black marble) = 3/10
Since the drawing is replaced,
they are considered independent events.
=> P(Black marble, following by black)
= [P(Drawing a black marble)]²
= (3/10)²
= 9/100. (B)
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show the frequency and relative frequency distributions.
Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Solve 3a – 8= 5a + 12
Show your work. (please)
Answer:
a = - 10
Step-by-step explanation:
3a – 8 = 5a + 12
3a – 8 + 8 = 5a + 12 + 8
3a = 5a + 20
3a - 5a = 5a + 20 - 5a
- 2a = 20
[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]
a = - 10
A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula,, where Volume and length, width, and height.
For a rectangular shaped box with a maximum capacity of 2.25 · 104 cubic meters, a length of 25 meters, a width of 2x meters and height of 1.5·102 meters, x =
meters.
Answer:B. C. D.
Step-by-step explanation: