Answer:
\(option \: (b) \: is \: ur \: answer\)
To know the answer with Proove.See Above Attachment..
Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!The polynomial whole zeros are α+β and αβ is x^2 + x - 12
Given the quadratic equation x^2 - 3x - 4 = 0
From the equation, a = 1, b = -3 and c = -4
The sum of the equation α+β = -b/a
α+β = 3/1 = 3
The product of the equation αβ = c/a
αβ = -4/1 = -4
Get the polynomial equation with zeros of 3 and -4
f(x) = (x-3)(x+4)
f(x)= x^2 + 4x - 3x - 12
f(x) = x^2 + x - 12
Hence the polynomial whole zeros are α+β and αβ is x^2 + x - 12
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describe and correct the error in solving the equations below
9514 1404 393
Answer:
19. wrong multiplier was used, and used incorrectly; x = -324
20. wrong multiplier was used, and used incorrectly; y = 5
Step-by-step explanation:
In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).
__
19) As described above.
(-36)(9) = (x/9)(9)
-324 = x
__
20) In addition to the errors described above, the variable was changed from y to x.
15/3 = (3y)/3
5 = y
Help! I need some help over here!
Answer:
The Answer is 3 4/7
Step-by-step explanation:
Answer:
3 4/7
Step-by-step explanation:
-1
W
Which is the correct graph of y = x2?
a.
c.
5
4.
2
3
1-
2
+
1
-S
4
-2
1
--
2
3
4
S
1
3
X
-3
tor
-S
b.
5
d.
Ty
4
3
Answer:
Step-by-step explanation:
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.
If UV = 3.6 and TV = 6.2, what is TU?T TUVWrite your answer as a decimal or integer.
In order to find TU we need to add the values together, that is because
\(TV+UV=TU\)Then,
\(\begin{gathered} TU=3.6+6.2 \\ TU=9.8 \end{gathered}\)If 3 � 3x – 7 = 2, then x equals? –12 9 12 18 27
The value of x with difference operations are 1/9, 2, -2, and 1.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
3 __ 3x - 7 = 2
If we use the operation ÷, -, + x .
3 ÷ 3x - 7 = 2
3/3x - 7 = 2
1/x - 7 = 2
1/x = 2 + 7
1/x = 9
x = 1/9
3 + 3x - 7 = 2
3x - 4 = 2
3x = 4 + 2
3x = 6
x = 2
3 - 3x - 7 = 2
-3x - 4 = 2
-3x = 6
x = -2
3 x 3x - 7 = 2
9x - 7 = 2
9x = 7 + 2
9x = 9
x = 1
Thus,
The value of x with difference operations are 1/9, 2, -2, and 1.
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(8/9) divided by (2/3) times (4 1/2)
The value of (8/9) divided by (2/3) times (4 1/2) is 6.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Based on the information given, it should be noted that when dividing fractions, it'll turn to the multiplication of the reciprocal.
This will be illustrated thus:
In this case, (8/9) divided by (2/3) times (4 1/2) will be:
= (8/9) ÷ (2/3) × (4 1/2)
In the above situation, 2/3 will simply become 3/2 during the multiplication. This will be:
= 8/9 ÷ 2/3 × 9/2
= 8/9 × 3/2 × 9/2
= 216/36
= 6
In conclusion, the value is 6.
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Find B: 6mi 9mi 5.3mi 8mi 10mi
The value of B by the given data is 8 mi.
We are given that;
Measurements= 6mi 9mi 5.3mi 8mi 10mi
Now,
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
To find B, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 10 mi and the other two sides are 6 mi and B. We can write:
10^2 = 6^2 + B^2
Simplifying, we get:
100 = 36 + B^2
Subtracting 36 from both sides, we get:
64 = B^2
Taking the square root of both sides, we get:
8 = B
Therefore, by Pythagoras theorem the answer will be 8 mi.
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A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 22 days. However, if no sewage is added, waste removal will empty the pool in 37 days. How long will it take the two inlet pipes to fill an empty pool? ___________ days
Answer:
i-09 vhcgcdg hdc
Step-by-step explanation:
T value and degrees of freedom for this data step by step
Answer:
resposta é 400
Step-by-step explanation:
não sei a explicação para isso
If there are 1600 meters in one mile, how fast is 5 meters per second in
miles per hour?
Answer:
40 meters per second.
Step-by-step explanation:
If there are 1600 meters in one mile, there are 144,000 meters in 90 miles meaning 90 mph is 144,000 meters per hour.
There are 3,600 seconds in an hour so there would be
144,000 meters ÷ 3,600 seconds = 40 meters per second.
Juanita borrowed $600 to purchase a new computer. She
was charged 7% interest for two years. She used the
simple interest formula to find the interest.
|=600(7)(2)
What error did Juanita make and how will her error affect
the interest she calculates? Explain.
Answer:
Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)
Answer:
Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.
Step-by-step explanation:
This is a sample response, be sure to change the wording up a bit.
1.Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18, find the number.
2. sketch the parabola y=x^2 + 4x + 96, show all intercept, the axis symmetry and vertex
The solution is
a) The number is 6
b) The equation of the parabola is y = x² + 4x + 96 with vertex ( -2 , 92 ) and the y intercept is ( 0 , 96 ) and the axis of symmetry is x = -2
What is a Parabola?
A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
a)
Let the equation be represented as A
Now , the value of A is
Let the number be = n
A = Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18
Substituting the values in the equation , we get
2/5 ( n + 24 ) = 5n - 18
On simplifying the equation , we get
Multiply by 5 on both sides of the equation , we get
2 ( n + 24 ) = 25n - 90
2n + 48 = 25n - 90
Subtracting 2n on both sides of the equation , we get
23n - 90 = 48
Adding 90 on both sides of the equation , we get
23n = 138
Divide by 23 on both sides of the equation , we get
n = 6
Therefore , the number is 6
b)
The equation of parabola is given as
y = x² + 4x + 96
Now , the equation can be simplified as
y = (x + 2)² + 92
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
Substituting the values in the equation , we get
The vertex of the parabola is P ( -2 , 92 )
The y intercept of the parabola is ( 0 , 96 )
The axis of symmetry of parabola is x = -2
Hence , the equation of parabola is y = (x + 2)² + 92
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a 1,200 watt water heater is plugged into a 120 volt outlet and used for 1.5 hours. How much current runs through the water heater
Answer:
The measure of the current running through the heater is: 10 Amps
Step-by-step explanation:
Since power (which is measured in watts) is defined as the product of the voltage applied times the current that runs the device, we can use this formula to solve for the unknown current (I) in the problem. Also since the units of power given are "watts", and the voltage is given in "volts", the current will also result in SI units, that is Amperes (Amps):
\(Power = Voltage \,*\, Current\\1200 = 120\,*\,I\\I=1200/120\, Amps\\I=10 \,Amps\)
Write an inequality for the following problem. Use X as your variable. 10 less than 7 times a number is greater then 56.
Answer:
7x -10 > 56
Step-by-step explanation:
For this you simply write what the sentence states. Ten less means you are subtracting 10 from 7 times a number, x. So, 7x -10. The statement also says this is greater than 56, so put >56, for 7x-10>56.
2c-10<3c-9 solve the following inequality
Answer:
\(c > -1\)
Step-by-step explanation:
\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)
What is the value of x?
07
0 7√2
O
O 14
O 14√/2
45°
7√2
The value of the side length x is equal to 14 using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin45 = 7√2/x {opposite/hypotenuse}
√2/2 = 7√2/x {sin45 = √2/2}
x = 7√2 × 2/√2 {cross multiplication}
x = 7 × 2
x = 14
Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.
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Can someone help me with this question?
Answer:
A
Step-by-step explanation:
PLS HELP ME WITH THIS QUESTION PLS SHOW YOUR WORKING OUT
The maximum volume of the cylinder is approximately 1257 cubic centimeters.
What is the maximum volume of the cylinder?The volume V of a right circular cylinder with radius r and height h is given by:
V = πr²h
Substituting the given expressions for the radius and height of the cylinder, we get:
V = πx²(800/πx - x)
Simplifying the expression, we get:
V = 800x - πx³
To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:
dV/dx = 800 - 3πx² = 0
3πx² = 800
x² = 800/3π
x ≈ 6.43
Substituting this value of x back into the expression for V, we get:
V ≈ 1257
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The total cost of 5 kg rice and 6 kg sugar is Rs 940. If the
rate of rice increases by 20% and the rate of sugar decreases
by 10%, the total cost of 4 kg rice and 3 kg sugar will be
Rs 627. By what percent the cost of 1 kg rice is more or less
than the cost of 1 kg sugar. Find it.
The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
What is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.
Let the cost price of rice is R and cost price of sugar is S.
Case 1 : total cost of 5 kg rice and 6 kg sugar is Rs. 940.
5R + 6S = 940 ...(1)
Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.
The new cost price of rice = R + 20% of R = 1.2R
The new cost price of sugar = S - 10% of S = 0.9S
So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.
Thus,
4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)
From equations (1) and (2) we have,
(5R + 6S)/(4.8R + 2.7R) = 940/627
R/S = 8/9
Hence, if the price of rice is 8 then the price of sugar is 9.
It is clear that the price of sugar is more than that of rice.
The percent cost by which cost of rice is less than sugar is:
(9 - 8)/ 9 (100) = 11 1/9%.
Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
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Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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explain why the answers are different.
The first question shows how the value of x is bigger than the value of -3 while the second question shows how the value of x is smaller than the value of -3.
Hope this helps!
What is the quotient of 2 3/4 divided by 4 1/2
The quotient of 2 3/4 divided by 4 1/2 is approximately 0.622222222.
What do you mean by Quotient?The outcome of dividing two numbers is referred to mathematically as the quotient. It is the amount produced when a numerator is divided by a denominator.
For example, consider the expression "10 ÷ 2". 10 is the numerator, and 2 is the denominator. The quotient of this expression is 5. This has the following notation in mathematics:
10 ÷ 2 = 5
The quotient can also be a fraction, in which case it represents a ratio of two numbers. For instance, the fraction representation of the equation "5 2" is as follows:
5 ÷ 2 = 5/2
In this case, the quotient represents the ratio of 5 to 2.
The quotient is an important concept in mathematics, as it is used in many areas, including arithmetic, algebra, and calculus. It is used to solve problems involving division and ratios, and it is a basic building block for more advanced mathematical concepts.
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Write two numbers that multiply to the value on top and add to the value on bottom.
50
15
Answer:
Step-by-step explanation:
a * b = 50
a + b = 15.....a = 15- b
(15- b)*b= 50
15b- b^2-50 = 0
-b^2+15b-50=0
(−b+5)(b−10)=0
−b+5=0 or b−10=0
b=5 or b=10
your numbers are 10 and 5
10 * 5 = 50
10 + 5 = 15
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Davita jogs 2000 feet in four minutes. At this rate, how many feet can she jog in eight minutes?
Answer:
In 8 minutes, she can jog 4000 feet.
Step-by-step explanation:
Davita jogs 2000 feet in 4 minutes.
Her rate is 2000/4 or 500 feet per minute.
500*8 = 4000
The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answer:
x is -1/b yw
Step-by-step explanation:
Find the odds of an event occurring, given the probability 1/2
Find the slope of the line shown below
The slope of the line which passes through points (-2, 1) and (0, -3) is calculated as: m = -2.
How to Find the Slope of a Line?In order to find the slope of the line given in the graph, pick two points on the line, then plug in their coordinates into the slope formula given as:
Slope (m) = change in y / change in x = y2 - y1 / x2 - x1
We have:
(-2, 1) = (x1, y1)
(0, -3) = (x2, y2)
Plug in the values:
Slope (m) = (-3 - 1) / (0 - (-2))
m = -4 / 2
Slope of the line (m) = -2
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The slope of the line represented by the graph is equal to -2.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (-3 - 3)/(0 + 3)
Slope (m) = (-6)/(3)
Slope (m) = -2.
Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to -2.
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The slope of the line which passes through points (-2, 1) and (0, -3) is calculated as: m = -2.
How to Find the Slope of a Line?In order to find the slope of the line given in the graph, pick two points on the line, then plug in their coordinates into the slope formula given as:
Slope (m) = change in y / change in x = y2 - y1 / x2 - x1
We have:
(-2, 1) = (x1, y1)
(0, -3) = (x2, y2)
Plug in the values:
Slope (m) = (-3 - 1) / (0 - (-2))
m = -4 / 2
Slope of the line (m) = -2
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The slope of the line represented by the graph is equal to -2.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (-3 - 3)/(0 + 3)
Slope (m) = (-6)/(3)
Slope (m) = -2.
Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to -2.
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A point in the table for the transformed function is
Answer:
linear function
Step-by-step explanation:
straight line then add up
What is the value of x?
answer is 4. 4 times 4 is twelve and 2 tomes 4 is 8 and 8 pkus 4 is 12.. so its 4
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.