Answer:
(xy - 4)(xy + 4).
Step-by-step explanation:
The is the difference of 2 squares.
a^2 - b^2 = (a - b)(a + b: so we have:
x^2y^2 - 16 = (xy - 4)(xy + 4)
inverse of f(x)=50000(0.8)^x
Answer:
Step-by-step explanation:
Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.
Answer: 49.5 and -0.5
Step-by-step explanation:
a + b =49
a - b = 0.5
a= 49.5
b= -0.5
The two numbers are approximately 24.25 and 24.75.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
Let's call the two numbers x and y.
According to the problem, we have two equations:
x + y = 49 (since their sum is 49)
x - y = 1/2 (since their difference is 1/2)
We can solve this system of equations using the method of substitution.
First, we can rearrange the second equation to solve for one of the variables in terms of the other:
x - y = 1/2
x = y + 1/2
Now we can substitute this expression for x into the first equation:
(y + 1/2) + y = 49
2y + 1/2 = 49
2y = 48.5
y = 24.25
Now we can use this value of y to solve for x:
x = y + 1/2 = 24.25 + 1/2 = 24.75
Therefore, the two numbers are approximately 24.25 and 24.75.
Learn more about algebra here:
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A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?
4x + 2y = 84
3x + 5y = 126
Answer:
1. cost of each car
2. cost of each SUV
3. (12,18)
4. $30
5. $132
Step-by-step explanation:
In the system of equations,x represents the cost of each car and y represents the cost of each SUV
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)
The total cost of 1 car and 1 SUV is $30
The total earnings for hour 3 are $132
The graph of the function, f(x) = - x2 - 3x + 1, opens and has a, value.
Answer:
downward, maximum value
Step-by-step explanation:
f(x) = - x^2 - 3x + 1
The negative in front of the x^2 means the graph opens downwards
The y intercept is 1
Because it opens downward it has a maximum value
Answer:
Opens downwards and has a maximum value
Step-by-step explanation:
f(x) = -x² - 3x + 1
a is the coefficient of x², which is -1
Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point
Add or subtract by first changing the mixed numbers to improper fractions.
A: 3 1/3 + 5 3/4
Answer:
10/3 and 23/4
Step-by-step explanation:
Answer:
9 1/12
Step-by-step explanation:
3 1/3 + 5 3/4
Get a common denominator of 12
3 1/3*4/4 + 5 3/4 *3/3
3 4/12 + 5 9/12
8 13/12
8 + 12/12 + 1/12
8+1+1/12
9+1/12
9 1/12
Changing to improper fraction
3 1/3 = ( 3*3+1)/3 =10/3
5 3/4 = ( 4*5+3)/5 =23/4
Getting a common denominator
10/3 * 4/4 = 40/12
23/4 *3/3 =69/12
-------------
109/12
12 goes into 109 9 times
9*12 = 108 and that leaves 1 left over
9 1/12
I need to know this right now :(
Answer:
40000
400
Step-by-step explanation:
40000 because 4000 * 10 = 40000
400 because 1 / 10 of 4000 = 400
Answer:
ok so 1/2 is your answer 1/4 divide = 1//2 !
Step-by-step explanation:
i just need this question
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)
Answer:
n+1
Step-by-step explanation:
h(n) = 4n + 5
g(n) = 3n +4
(h - g)(n) = 4n + 5 - (3n +4 )
distribute the minus sign
= 4n +5 - 3n -4
Combine like terms
= 4n -3n +5-4
= n +1
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30
Step-by-step explanation:
150/100 = 1.5
1.5 is 1% of 150
20% of moviegoers recommend the movie
1.5 times 20 = 30
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?
If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.
Answer:
1. 18 girls
2. 5 girls will be added to maintain the same ratio of boys and girls
Step-by-step explanation:
1. Boys : Girls = 14 : 12
14 + 12 = 26, 39/26 = 1.5
Boys: 14 x 1.5 = 21
Girls: 12 x 1.5 = 18
21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.
2. Boys : Girls = 14 : 12
14 : 12
7 : ?
14 - 7 = 12 - ?
7 = 12 - ?
12 - 7
= 5
If there is any wrong, Please correct me or reply to me!
Please solve for x. I need this answered.
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
Answer: Any x is a solution.
Answer:
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
number 19 very much need the answer please
Answer:
D not possible.........
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
Find the area of the shaded regions:
The pink is the shaded region.
40π
You dont need paper hw since we're in quarantine
Answer:40
Step-by-step explanation:
Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answer:
one
Step-by-step explanation:
Explain the Pythagorean theorem.
A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps you out!
Answer:
Step-by-step explanation:
c
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices
Parallelogram
Square
Rhombus
Rectangle
Answer:D is a rectangle
Step-by-step explanation:
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?
Answer:
-3/2
Step-by-step explanation:
We can find the slope between two points using
m = (y2-y1)/(x2-x1)
= (-7 - -1)/(5 - 1)
(-7+1(/(5-1)
-6/4
-3/2
Answer:
4
Step-by-step explanation:
i did khan :)
Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine
Answer:
8/9
Step-by-step explanation:
The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9
Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus
Answer:
a, c, and e
Step-by-step explanation:
quadrilateral= a four-sided figure
square= a plane figure with four equal straight sides and four right angles
parallelogram= a four-sided plane rectilinear figure with opposite sides parallel
rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square
rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides
Answer:
A,B,D
Step-by-step explanation:
I had this question on a test and these were the correct answers. So this is guaranteed correct!
Please help meeeee
What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?
Answer:
the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.
Step-by-step explanation:
Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?
Answer:
2,578 = 6X
Step-by-step explanation:
Given:
Total weight of honey collected = 2,578 ounce
Each jar hold honey = 6 ounce
Find:
Expression to estimate number of jars can fill :
Computation:
Assume ,
Total number of jars can fill = X
So,
Total weight of honey collected = Total number of jars × Each jar hold honey
2,578 = 6 × X
2,578 = 6X
Drag each capacity to match it to an equivalent capacity.
8L
80 mL
0.08 L
800 mL
Capacity
Equivalent Capacity
0.08 L
8,000 mL
0.8 L
80 mL
