k(x) = 2x²-x-1 find the roots

Answer: 2 3/7

Step-by-step explanation:

Explanation:

Draw a vertical number line as shown below.

Plot -5 on the number line which is 5 units below 0.

Then move up 3 units to arrive at -2

This shows us that -5+3 = -2

Evaluating Algebraic Expressions

We are given the expression:

-6b + 2a

And it's required to find the value of the expression for a=-6.9 and b=1.9

Substituting the values:

-6(-1.9) + 2(-6.9)

= 11.4 - 13.8

Operating:

=-2.4

The value is -2.4

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

to simplify use the rule of radicals

[tex]\frac{\sqrt{x} }{\sqrt{y} }[/tex] ⇔ [tex]\sqrt{\frac{x}{y} }[/tex] , then

[tex]\frac{\sqrt{15} }{\sqrt{3} }[/tex] = [tex]\sqrt{\frac{15}{3} }[/tex] = [tex]\sqrt{5}[/tex]

There is insufficient evidence to conclude that those with the high incomes are the ones that have the more credit scores.

We have the bar x = 705.9

The value of n = 34

mean = 724 . 1

standard deviation = 83.4

the level of significance = 5 percent level

The Hypothesis formulation

The null hypothesis H0 = u 705.9

alternative hypothesis = H1 u > 705.9

The t test is given as x - u / s /√n

= (724.1 - 705.9) / (83.4 / √34)

= 1.2725

The degree of freedom = 34 - 1 = 33

The test that we have here is a right tailed test

The p value for the test is given as probability of p (t33 > t)

= 0.1064

From the solution that we have here, we can see that the p value that has been calculated is greater than the level of significance.

Given that this is the case, the decision rule would be for us not to reject the null hypothesis.

There is insufficient evidence to the claim that the high income persons have the greater credit scores.

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Answer:numbers that are equal to 4/8 would be 2/4 and 1/2 and are you multiplying up?

Step-by-step explanation:

Answer: - 4 /1 x -10

Step-by-step explanation:

the rise is -4

the run is -1

the y intesept is -10

Answer:

Slope:

JK = (1/3)

LK = (-2)

ML = (2/5)

MJ = (-3/2)

Quadrilateral JKLM is not a parallelogram because the slopes don't match.

Step-by-step explanation:

Slope = m

JK = (-4, 1), (2, 3)

       (x₁, y₁)  (x₂, y₂)

        y₂ - y₁         3 - 1               2            2           1

m = ------------ = ------------- = ---------- = --------- = -------

        x₂ - x₁         2 - (-4)         2 + 4         6           3

----------------------------------------------------------------------------------------------------------

LK = (5, -3), (2, 3)

       (x₁, y₁)  (x₂, y₂)

        y₂ - y₁         3 - (-3)        3 + 3          6

m = ------------ = ------------- = ---------- = --------- = -2

        x₂ - x₁         2 - 5              -3           -3

----------------------------------------------------------------------------------------------------------

ML = (0, -5), (5, -3)

       (x₁, y₁)  (x₂, y₂)

        y₂ - y₁        -3 - (-5)      -3 + 5         2

m = ------------ = ------------- = ---------- = ---------

        x₂ - x₁         5 - 0              5            5

----------------------------------------------------------------------------------------------------------

MJ = (0, -5), (-4, 1)

       (x₁, y₁)  (x₂, y₂)

        y₂ - y₁        1 - (-5)         1 + 5          6          -3

m = ------------ = ------------- = ---------- = --------- = -------

        x₂ - x₁         -4 - 0            -4            -4          2

----------------------------------------------------------------------------------------------------------

I hope this helps!

Answer:

see explanation

Step-by-step explanation:

given that V is directly proportional to h³ , then the equation relating them is

V = kh³ ← k is the constant of proportion

to find k use the condition V = 48 when h = 4 , then

48 = k × 4³ = 64k ( divide both sides by 64 )

[tex]\frac{48}{64}[/tex] = k , then k = 0.75

V = 0.75h³ ← equation of proportion

1

when h = 3 , then

V = 0.75 × 3³ = 0.75 × 27 = 20.25 cm³

2

when h = 6 , then

V = 0.75 × 6³ = 0.75 × 216 = 162 cm³

then

162 ÷ 20.25 = 8

the volume will be 8 times bigger

Answer:

  AB, DC, ED, GA

Step-by-step explanation:

You want to identify the segments that are skew to edge FH of cuboid ABCDEFGH.

Two lines are skew when no plane exists that can contain them both. That is, skew lines are not parallel and do not intersect.

Cuboid ABCDEFGH has 12 edges. Of those, 3 are parallel to FH, and 4 intersect FH. The remaining edges are skew to FH:

  AB, DC, ED, GA . . . . . segments skew to FH

Answer:

35

Step-by-step explanation:

90-55= 35 degress

Answer:

sorry i don't know it to should have listened to your teacher

Step-by-step explanation:

Label the points,lines,and planes to show AB and line in perpendicular

to each other in plane R to point B, plane R

Answer:

Complementary angles have a sum of 90°.

(x²-16x)+(3x) = 90

x² -13x - 90 = 0

(x-18)(x+5) = 0

x - 18 = 0 or x + 5 = 0

x = 18 or x = -5 (reject)

Substitute x into the angles.

18²-16(18) = 36

Smaller angle = 36°

3(18) = 54

Larger angle = 54°

Answer:

the slope is 0 and  the equation is y = -2

Step-by-step explanation:

Answer:24

Step-by-step explanation:4+2=6,6+3=9,9+4=13,13+5=18,18+6=24

Answer:

24

Step-by-step explanation:

because in first piggy bank has 4 coins and second has 6 . difference=6-4=2

second has 6 coins and third has 9 . difference= 9 - 6 = 3 third has 9 coins and fourth has 13 . difference=13-9=4

fourth has 13 and fifth has 18 coins difference is 18 -13 =5

then,sixth has 24 because all have 2 3 4 5 difference then six has 6

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= - {x}^{2} +12x - 27[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The values of x where a parabola cuts the x - axis (y = 0) are the roots of the quadratic equation.

I.e 3 and 9 for the given problem.

and the equation can be represented as :

[tex]\qquad\displaystyle \tt \rightarrow \: y = a(x - x1)(x- x2)[/tex]

where, x1 and x2 are the roots of the quadratic equation, a is a constant value (depicting strech in curve)

Now, plug in the values :

[tex]\qquad\displaystyle \tt \rightarrow \: y= a(x- 3)(x - 9)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = a( {x}^{2} -9x - 3x +27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= a( {x}^{2} -12 +27)[/tex]

Now, we need to find the value of a, for that let's use the coordinates of a point lying on the curve (10 , -7)

[tex]\qquad\displaystyle \tt \rightarrow \: - 7= a( {10}^{2} -12(10) +27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 7= a(100- 120+27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 7= a( 7)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: a = ( - 7) \div ( 7)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: a = -1[/tex]

Now, we got all required values. let's plug the value of a in equation, and we will get the required equation of parabola.

[tex]\qquad\displaystyle \tt \rightarrow \: y= -( {x}^{2} -12x +27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= - {x}^{2} +12x - 27[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]y=-x^2+12x-27[/tex]

Step-by-step explanation:

Intercept form of a quadratic equation

[tex]\boxed{y=a(x-p)(x-q)}[/tex]

where:

Given x-intercepts:

Substitute the given x-intercepts into the formula:

[tex]\implies y=a(x-3)(x-9)[/tex]

To find a, substitute the given point (10, -7) into the equation and solve for a:

[tex]\implies a(10-3)(10-9)=-7[/tex]

[tex]\implies a(7)(1)=-7[/tex]

[tex]\implies 7a=-7[/tex]

[tex]\implies a=-1[/tex]

Therefore, the equation of the function in factored form is:

[tex]\implies y=-(x-3)(x-9)[/tex]

Expand the brackets:

[tex]\implies y=-(x^2-9x-3x+27)[/tex]

[tex]\implies y=-(x^2-12x+27)[/tex]

[tex]\implies y=-x^2+12x-27[/tex]

Therefore, the equation of the function in standard form is:

[tex]\boxed{y=-x^2+12x-27}[/tex]

The midpoint of the line segment given is (1, 4.5)

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment equally into two halves.

The formula of midpoint of a line is given as

[tex]M_x_y = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]

Substituting the given values;

[tex]M_x_y = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\\M_x_y = \frac{-2+4}{2}, \frac{7+2}{2} \\M_x_y = 1, \frac{9}{2} \\M_x_y = 1, 4.5[/tex]

The midpoint of the line AB is equal to (1, 4.5)

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Answer: you mom loves your neighbor

Step-by-step explanation: because the do things together

What is your answer?

     Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.

Examples of algebra. Discover the vertex of absolute value. The vertex in this instance for y=|x5|+4 y = | x - 5 | + 4 is (5,4). Set the interior of the absolute value x5 x - 5 equal to 0 0 to determine the vertex's x x coordinate.

Examples of Algebra The degree of variable y in this instance is 1, which means that the degrees of the variables in the equation violate the definition of a linear equation, indicating that the equation is not a linear equation.

Pick a few x values and look for some ordered pairings to graph an absolute value function. Connect the points by plotting them on a coordinate plane. The graph has a V form, as you can see. (1) The graph's vertex is (0,0).

Obtain the equation y = ax2 + bx + c.

Determine -b / 2A. The vertex's x-coordinate is given here.

Simply enter the value of -b / 2a into the equation for x and solve for y to obtain the vertex's y-coordinate. The vertex's y-coordinate is given here.

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The slope of the line shown in the figure having equation x + 2y = 0 is 1/2.

The point A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and Point C is at ( -2 , 2 ).

Let point D be at ( -4 , 1 ).

Now the new triangle is ΔBDA and the corner points are A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and  point D is at ( -4 , 1 ).

The equation of line passing through two points  is given by:

[tex](y-y_{1} ) = (\frac{y_{2}-y_{1} }{x_{2} - x_{1} })(x - x_{1} )[/tex]

The equation of line passing through two points A( -2 , 1 ) and B( -4 , 2 ) IS

y - 1 = ((2-1)/(-4-(-2)))  (x-(-2))

y - 1 = (1/(-2)) (x+2)

2y -2 = -x -2

x + 2y = 0

The equation of straight line is x + 2y = 0

The equation in slope intercept form can be written as,

y = x/2 + 0

Slope = m = 1/2

Intercept = c = 0

So, we can conclude that 1/2 is the slope of the line .

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Answer:

The Point of symmetry is (5, 6) and not (-5, -6).

least common mutiple of...

6 and 8: 24

8 and 12: 24

12 and 9: 36

6 and 9: 18

To make a mixed number from an improper fraction, divide the numerator by the denominator then there exists eight twelfths in two-thirds.

Multiply the full number by the denominator to convert a mixed number to an improper fraction. Include it in the numerator. Add that total to the denominator from the beginning.

To make a mixed number from an improper fraction, divide the numerator by the denominator. After division, the mixed number is produced in such a way that the obtained quotient becomes the entire number, the remainder becomes the new numerator, and the denominator remains constant.

Let the value be [tex]$3 \frac{2}{3}$[/tex].

Convert mixed numbers to improper fraction:

[tex]$a \frac{b}{c}=\frac{a \cdot c+b}{c}$[/tex]

substitute the values in the above equation, we get

[tex]$&3 \frac{2}{3}=\frac{3 \cdot 3+2}{3}=\frac{11}{3} \\[/tex]

Therefore, there exists eight twelfths in two-thirds.

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Delilah is correct; it is

Here, we want to check who was right

Mathematically, we can dilate a figure by reduction or enlargement by the use of a specific scale factor

When the scale factor is less than 1, it is a reduction

However, if the scale factor is greater than 1, it is an enlargement

The original point is (x,y)

From the image coordinates given, we see that the scale factor is 6/5 which is greater than 1

Thus, the dilation is an enlargement and Delilah was right

The equation representing the pool draining in slope-intercept form is y = -12x + 38000 and the time for the pool to fully drain is 3167 minutes.

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

As we know,

The standard form of the straight line is:

y = mx + b

The slope in this case is m, and the y-intercept is b.

From the data given:

y = -12x + 38000

Plug y = 0 to find how long it will take for the pool to fully drain:

0 = -12x + 38000

x = 3167 minutes

To fill it back up, the y-intercept is 0.

The slope is given M = 16

y = 16x

Now plug y = 38000 to find how long it will take for the pool to fill back up

38000 = 16x

x = 2375 minutes

Thus, the equation representing the pool draining in slope-intercept form is y = -12x + 38000 and the time for the pool to fully drain is 3167 minutes.

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The width of the rectangle with area 70y⁸+ 30y⁶ is; 10y⁶.

Then the length of the rectangle with area 70y⁸+ 30y⁶ is; (7y² + 3).

The area of a rectangle is given by;

Area = Length× width

Given that;

The area of the rectangle = 70y⁸ + 30y⁶

Now, 70y⁸ can be broken down to; 7×5×2×y×y×y×y×y×y×y×y

And 30y⁶ can be broken down to; 5×3×2×y×y×y×y×y×y

The common factors of 70y⁸ and 30y⁶ are = 5,2,y,y,y,y,y,y

Thus, the greatest common factor of 70y⁸ and 30y⁶ is;

5×2×y×y×y×y×y×y = 10y⁶

Therefore our area 70y⁸+ 30y⁶ can be factorized to get;

A = 10y⁶(7y² + 3)

The greatest common monomial of 70y⁸+ 30y⁶ is 10y⁶ which is the width of the rectangle.

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The calculated answer after simplification in which Ryan has number of baseball cards is: 357 cards

How to simplify statement problems?

In mathematics, the statement based problems can be solved by forming the equations. And later, simplify those equation by equating to each other. This method is very common for the complicated problems to make the calculation easy.

According to the question, Ryan collected 2650 cards. In which, he has more baseball cards compared to football cards.

Now, let us assume, baseball cards be 'B'; football cards be 'F' and hockey cards be 'H'.

As per the question, the formed equation from the statement for the simplification is:

B + F + H = 2650

3B = F and H + 150 = F

Substituting above values in the formed equation to get the simplify answer,

B + 3B + 3B - 150 = 2650 ⇒ 7B = 2500 ⇒ B = 357

Now, the value of football cards is: F = 3(357) = 1071

And, the value of hockey cards is: H = 1071 - 150 = 921

Hence, after simplification Ryan has number of baseball cards is: 357 cards

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