Answer:
5/6
Step-by-step explanation:
The slope of a line is the number being multiplied by x.
we are looking to factor $23x^2 kx - 5.$ some values of $k$ allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of $k?$
There are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.
To find the values of k that allow us to factor the quadratic expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients, let's analyze the expression.
The quadratic expression is of the form \(ax^2 + bx + c\) where a = 13, b = 13k, and c = -8
For factoring it as a product of linear binomials, we need to find two integers m and n such that (mx + n)(px + q) is equal to the given expression.
Expanding the product (mx + n)(px + q), we have:
\((mx + n)(px + q) = mpx^2 + (mq + np)x + nq\)
Comparing this with the given expression \(13x^2 kx - 8,\) we can deduce that mp = 13, mq + np = 13k, and nq = -8.
To find the values of k, we need to determine which values satisfy these conditions and allow us to find integer values for m, n, p, and q.
Considering the prime factorization of 13 and -8, we have \(13 = 13 \cdot 1\) and \(-8 = -1 \cdot 2^3\)
Case 1: m = 13 and p = 1
In this case, the condition nq = -8 becomes 13q = -8.
Since 13 is a prime number, there are no integer solutions for q.
Thus, this case does not allow us to factor the expression with integer coefficients.
Case 2: m = 1 and p = 13
In this case, the condition nq = -8 becomes q = -8 and n = 1.
Therefore, we have mq + np = 13k, which simplifies to -8 + 13n = 13k. Solving for n, we get \(n = \frac{8 + 13k}{13}.\)
For the expression to be factored with integer coefficients, n must be an integer.
Hence, 8 + 13k must be divisible by 13.
It means 8 must be divisible by 13, which is not possible.
Therefore, there are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.
In summary, no values of k satisfy the conditions for factoring the expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients.
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The complete question may be like: Consider the quadratic expression \($13x^2 kx -8.\)
We want to find values of k that allow us to factor it as a product of linear binomials with integer coefficients.
Determine all such values of k.
Find the measure of the missing angles. 34° b . c b = ° c = °
The sum of all the internal angle is \($180^{\circ}$\).
What is Internal angles?The internal angle formed by a closed polygon's sides inside of itself. A shape's interior can contain angles. The closed, side-and-vertex-containing shapes are known as polygons. All of the internal angles of a regular polygon are equal. For instance, the inner angles of a square are all exactly 90 degrees, or the right angle. Triangles always have three inner angles that add up to 180 degrees. Because the other two angles (180°+0°+0°) would not be present, a triangle cannot have an individual angle of 180°.The sum of all the internal angle is \($180^{\circ}$\).
\($$\angle A+\angle B+\angle C=180^{\circ}$$\)
1. 34 and 88
\(34+88+\angle C=180 \\\)
\(122+\angle C=180 \\\)
\(\angle C=180-122 \\\)
\(\angle C=58^{\circ}\)
2. 45 and 90
\(45+90+\angle C=180 \\\)
\(135+\angle C=180 \\\)
\(\angle C=180-135 \\\)
\(\angle C=45^{\circ}\)
3. 10 and 102
\(10+102+\angle C=180 \\\)
\(112+\angle C=180\)
\(\angle C=180-112 \\\)
\(\angle C=68^{\circ}\)
4. \($\boldsymbol{x}$\)and 50
\(x+50+\angle C=180 \\\)
\(\angle C=180-50-x \\\)
\(\angle C=(130-x)^{\circ}\)
The complete question is,
Find the measure of the third angle of a triangle given the measures of two angles.
1. 34 and 88
2. 45 and 90
3. 10 and 102
4. x and 50
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calcula el interés simple sobre un préstamo de 5000 al 9% en 36 meses interés simple = principal X tasa interés X tiempo).
$16,200
1) Coletando los datos
Valor presente: 5,000
rate: 9%
Tiempo: 36 meses
2) Escribindo la formula y despues aplicando los datos, tienemos:
\(\begin{gathered} A=P(1+r\cdot n) \\ A=5000(1+0.09\times36) \\ A=5000(1\text{ +3.24)} \\ A=\text{ 21,200} \\ I=21,200-5000 \\ I=16200 \end{gathered}\)Mira que subtraemos de lo Valor Futuro, el Principal. A -P = i
3) Entonces el interés simple és $16,200
A shelf is built on a wall, as shown below. What is the value of x?
Answer:
X=25
Step-by-step explanation:
All angles of a triangle add up for 180
We know that there is a 90 degree right angle.
So (x+25)+(2x-10)=180-90
Remove parenthesis since they don't matter in this problem.
x+25+2x-10=90
Combine similar terms
3x+15=90
Subtract 15 from both sides
3x=75
Divide both sides by 3
x=25
Is Figure B a scale copy of Figure A?
Answer:
No.
Step-by-step explanation:
Solution set for -8y<72
Answer:
y < -9
Step-by-step explanation:
-8y < 72
~Divide -8 to both sides
y < -9
Best of Luck!
Find the number of positive divisors of 1470.
Answer:
1, 3, 17, 29, 51, 87, 493, 1479
Step-by-step explanation:
Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479
Number of divisors: 8
Sum of its divisors: 2160
Answer: plz mark as brainliest
Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.
First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:
Dividend / Divisor = Quotient
Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:
1470 / Divisor = Quotient
To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:
1470 / 1 = 1470
1470 / 2 = 735
1470 / 3 = 490
1470 / 4 = 367.5
etc...
Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.
The Divisors of 1470 are as follows:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.
Solve for x
A 15
B 16
C 2.4
D 12
Answer: bd=8 dc=2 and ae=4 so value of ab=16
Step-by-step explanation:
Determining the location of a terminal point given the signs of Determine the quadrant in which the terminal side of 0 lies. (a)sine < 0 and cot 0 < 0 (Choose one) (b) cos > 0 and esce < 0 (Choose one) quadrant I quadrant II quadrant III quadrant IV ?
Based on the given information, the terminal side of angle 0 lies in quadrant III.
To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:
(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:
Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.
Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.
In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.
(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.
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what is an equation of a line that is perpendicular to the line whos equation is
2y+3x=1
\(\text{First, simplify the equation into slope intercept form:}\\\\2y+3x=1\\\\2y=-3x+1\\\\\text{Divide by 2}\\\\y=-\frac{3}{2}x+1\\\\\text{Now, the perpendicular line is the opposite of the slope, and the opposite}\\\text{value}\\\\\text{Since our original equation is negative, the perpendicular lien will be positive}\\\\\text{And then you would just flip the fraction}\\\\\text{Your perpendicular line should be:}\\\\\boxed{y=\frac{2}{3}x+1}\)
The height of an object at any time can be found with the polynomial - 16t ^ 2 + 550 where t is the time in seconds. How high is the object after 3.5 seconds?
Answer:
354 m
Step-by-step explanation:
to find the height substitute t = 3.5 into the height polynomial
height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354
Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.
56.85
56.809
Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.
56.85
56.809
56.749
56.08
56.795
56.832
Drag all of the values to the box that round to 56.8 when rounded to the nearest tenth.
56.85
56.809
56.749
56.08
56.795
56.832
56.72
Numbers that round to 56.8
The numbers round to 56.8 when rounded to the nearest tenth are 56.809, 56.795, and 56.832 respectively.
What is rounding decimals?
The term "rounding decimals" describes the accurate rounding of decimal figures. To the nearest whole, tenth, or hundredth, we can round decimals.
The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenth position if the number is 5 or above.
We need to find the value that rounds to the nearest tenth which results in 56.8
Now, we check all options one by one and rounded them to the nearest tenth
56.85 = 56.9 (rounded to the nearest tenth)
56.809 = 56.8 (rounded to the nearest tenth)
56.749 = 56.7 (rounded to the nearest tenth)
56.08 = 56.1 (rounded to the nearest tenth)
56.795 = 56.8 (rounded to the nearest tenth)
56.832 = 56.8 (rounded to the nearest tenth)
56.72 = 56.7 (rounded to the nearest tenth)
Hence, the required answers are 56.809, 56.795, and 56.832.
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PLZZ HELP FOR BRAINLIEST
What is the y-intercept of the graph?
Answer:
-5
Step-by-step explanation:
7. Both is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make?
Answer:
Step-by-step explanation:
5
A hyperbola centered at the origin has vertices at (0,±sqrt(19)) and foci at (0,±sqrt(55)).
Write the equation of this hyperbola.
Answer:
y²/19 -x²/36 = 1
Step-by-step explanation:
You want the equation of a hyperbola centered at the origin with vertices at (0,±sqrt(19)) and foci at (0,±sqrt(55)).
Equation of a hyperbolaIf a, f are the distances from center (the origin) of the vertices and foci, the equation of the hyperbola with vertices on the y-axis can be written as ...
y²/a² -x²/(f²-a²) = 1
For a=√19 and f=√55, the equation is ...
y²/19 -x²/36 = 1
<95141404393>
Help Plssssssssssssss
Answer:
Correct option is C
Thanks
Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue marbles to purple marbles gets to go first.
Number of Marbles
Name
Blue Marbles
Purple Marbles
Rosa
10
12
Chi
5
6
Alberto
5
12
Pedro
10
6
Which player gets to go first?
Answer: Rosa would go first
Step-by-step explanation: since Rosa has 10 and 12 marbles when you add those two you get 22
A structural break occurs when we see A. an unexpected shift in time-series data. B. a number of outliers in cross-section data. C. a general upward trend over time in time-series data. D. an independent variable is correlated with the dependent variable but there is no theoretical justification on for the relationship.
A structural break occurs when we see A. an unexpected shift in time-series data.
It is the change in a time series's data-generating mechanism, it is a phenomenon that occurs when a significant event or structural shift in the economy alters the underlying data-generating mechanism. A structural break can happen for several reasons, including natural catastrophes, changes in economic policy, new inventions, and other reasons that alter the way the data is generated.
In the presence of a structural break, we can't assume that the relationships between variables before and after the break are the same. The primary objective of identifying structural breaks in the time-series is to detect changes in the behavior of the series over time, such as changes in the variance of the series, changes in the mean of the series, and changes in the covariance of the series. So therefore the correct answer is A. an unexpected shift in time-series data, the structural break occurs.
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The solve by substitution calculator allows to find the solution to a system of two or three equations in both a point form and an equation form .of the answer.true or false
Given statement is True.
A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.
The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.
In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.
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The formula a = vf - vi / t is used to calculate acceleration as the change in velocity over the period of time. solve the formula for the final velocity, vf, in terms of initial velocity, vi, acceleration, a, and time, t
The formula for the final velocity,\(v_{f}\) , in terms of initial velocity, vi, acceleration, a, and time, t is given by \(V_{f}=at+V_{i}\)
A =\((V_{f}-V_{i} )/t\) You can put \(1\) under A and then cross multiply.
\(at =V_{f} -V_{i}\)
Get \(V_{f}\) by adding \(V_{i}\) in both sides of the equation.
\(at+V_{i} =V_{f}\)
OR
The final speed \(V_{f}\) in terms of other parameters is given by the relation \(V_{f}\)\(=at+V_{i}\)
How to calculate the acceleration of an object?
Mathematically, acceleration is calculated using this formula:
\(a=(V_{f}-V_{i} )/t\)
Where:
Vf is the final velocity.Vi is the initial velocity.t is time measured in seconds.Making \(V_{f}\) the subject of the formula, we have:
\(at =V_{f} -V_{i}\)
\(V_{f} =V_{i} +at\)
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PLEASE HELP ASAP!!!!
I could really use some help. I am trying to solve this for a friend, and I am completely stuck.
Answer:
-x2 + -x3 =x
there ya go
fill in the missing term in the equation.
(1+2i)(2+i)+ (_)= 5(2+i)
Answer: 10
Step-by-step explanation: I got this correct on Edmentum.
Please help me desperate......
Answer:
m
Step-by-step explanation:
An oatmeal cookie calls for 1/2 cup of butter to make 6 dozen cookies. Hilda needs to make 15 dozen cookies for the bake sale. How many cups of butter will she need
1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:
\(undefined\)help me pleasee, my brain won't work
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
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what is 9×4−(2×1/2)
(1/2 Is a fraction btw)
Answer:
35
Step-by-step explanation:
I used Symbolab here's the screenshot
what is the slope of -3/2 (3,1)
Answer:
y= -3/2
Step-by-step explanation:
formula: y-y1=m(x-x1)
y-1=-3/2(x-3)
y-1=-3/2x+9/2
y= -3/2x+11/2
this is now in y=mx+b form. m=slope /
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
272
Step-by-step explanation:
\(240(1+0.025)^{5} \approx 272\)
Ted tried to evaluate the expression 21 divided by 3 plus 5 times 3 is his work correct
Ted's work to evaluate the expression 21 ÷ 3 + 5* 3 is incorrect, as he evaluated the division before the multiplication. He follow the wrong order of operations. The correct answer is 22, not 36.
Ted's work is incorrect. In step 1, he evaluated the division before the multiplication, which is incorrect according to the order of operations (PEMDAS). According to the order of operations, multiplication and division should be done before addition and subtraction. Therefore, the correct way to evaluate the expression is as follows:
21 ÷ 3 + 5 * 3
= 7 + 15 (evaluating multiplication before addition)
= 22
Thus, the correct answer is 22, not 36 as Ted calculated. It is important to follow the order of operations in order to arrive at the correct answer.
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_____The given question is incomplete, the complete question is given below:
Ted tried to evaluate the expression 21 ÷ 3 + 5* 3. Here, is his work:
21 ÷ 3 + 5* 3
= 7 + 5 * 3 step 1
= 12 * 3 step 2
= 36
Is his work correct?