what are the zeros of the quadratic function f x equals 2x ^ 2 + 15x - 9​

let's reword this a bit differently, since it looks jumbled

let's find the equation of a line that is perpendicular to y = -5x + 5, and it also passes through (10 , 7), well, keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -5 \implies \cfrac{-5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-5} \implies \cfrac{1}{ 5 }}}[/tex]

so we're really looking for the equation of a line with a slope of 1/5 and that it passes through (10 , 7)

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{10}) \\\\\\ y-7=\cfrac{1}{5}x-2\implies {\Large \begin{array}{llll} y=\cfrac{1}{5}x+5 \end{array}}[/tex]

Answer:

im pretty sure a b g

Step-by-step explanation:

There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.

For n/(8+9+10), where n is an integer <27

 Ali : Ben : Cathy

   8 : 9 : 10

Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.

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Its equation in the slope-intercept form will be y = -3 because the y coordinates of both points are equal.

Given points in terms of coordinates so let's try to understand what are coordinates.

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis(vertical) are the two axes that make up a coordinate plane. (Telling children that the x-axis crosses because "x" is a cross helps them remember which of these is which.)

We have total 4 coordinates

First Coordinate both x and y are positive.

Second Coordinate x is negative and y is positive.

Third Coordinate both x and y are negative.

Fourth Coordinate x is positive and y is negative.

Point A is (14, -3)

Point B is (-10, -3) both have the same y coordinate.

So line AB is parallel to the x-axis.

The formula for the equation in the slope-intercept formula is

y = mx + c.

m is the slope of the line and c is the intercept on the y-axis.

Line AB is parallel to the x-axis the equation is y = -3.

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Answer:

8/12

hope this helps

have a good day :)

Step-by-step explanation:

The equation for the linear model in the scatter plot is Y = -2x + 56.

To calculate this equation, we need to find the slope (m) and the y-intercept (b). The slope is calculated with the formula m = (y2 - y1) / (x2 - x1), where x and y represent the coordinates of two points on the graph.

The two points closest to the line in the scatter plot are (2, 48) and (4, 52). Substituting these values into the formula gives us m = (52 - 48) / (4 - 2) = 4/2 = 2.

The y-intercept is the point where the line crosses the y-axis. To find it, we need to substitute the slope and one point's coordinates into the equation y = mx + b. For our equation, we will use the coordinates (2, 48). Substituting these values into the equation gives us 48 = 2x + b, and solving for b gives us b = 48 - 2(2) = 44.

Therefore, the equation for the linear model in the scatter plot is Y = -2x + 56.

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On solving the provided question, we got to know that -  to plot the graph, required equation is 3x +y -8 = 0

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value. To plot the graph,we need to find the equation first.

and to find the equation -

(y - y1) = m( x - x1)

y1 = -4

x1 = -2

y = 3

x = -5)

equation  -

(-3)(x-1) = y-5

-3x + 3 = y-5

3x - 3 = 5-y

3x +y -8 = 0

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To solve x easily, shift the variables to one side, and shift all the other values including constants to the other side.

Solve for x means finding the value of x in an equation involving one variable that is x or with different variables like finding x in terms of y. Whatever the case is you are required to find  the value of x, for which the given equation holds true.

For example, if the equation is given as: 2x - 50 = 4

Now solve the tjis equation for x by keeping the term with variable x to one side, and shifting all the other values such as constants to the other side.

now

2x = 4 + 50

2x = 54

x = 54/2

x= 27

This is the required value of x which is obtained after solving the equation for x.

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Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helped :) If you need a explantion step by step then tell me.

Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(4)(20)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{20})}}\implies 80+50\implies \text{\LARGE 130}~m^2[/tex]

$0, He earned $8798 in net taxable income the previous year. He has a negative amount of taxable income since the exemption and the allowed deduction are larger than his annual gross income.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.

In finance and economics, compound interest is common.

In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.

The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.

According to our question-

Last year, a part-time housekeeper earned $8798.

He claimed he was exempt, costing $365.

$570.00 is the standard deduction.

Gross income less the standard deduction and all exemptions equals taxable income.

= 8798 - 3650 - 5700 = $-552

There is a negative number, which indicates that he owes no taxes.

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Answer:

C. 19.47°

Step-by-step explanation:

The triangle's angles are 90°, 70.53°, and 19.47°.

The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.

What is mean ?

mean can be defined as the ratio of sum of the total observations and the number of total observations.

Given set of data

11,13,17,20,22,25,27,31,31,33

Mean  =  11 +13+17+20+22+25+27+31+31+33/10

= 230/10

 =23

Hence  mean = 23

The (n/2)th term= the 5th term

                       =22

The  (n/2+1) term = The  6th term

= 25

The median = 22+25/2

                  =23.5

Range = Highest term - lowest term

          =33- 11

           =22

Here lower half {11,13,17,20,22}

The middle number of lower half is first quartile.

Q₁ = 17

And lower half is{25,27,31,31,33}

The middle number of upper half is third quartile.

Q₃=31

Interquartile Range =Q₃-Q₁

                               =31-17

                                =14

Hence, The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.

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Answer:

Step-by-step explanation:

                                                             !:}

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

0     1/9            2/9                   3/9     4/9        5/9   6/9   7/9   8/9  9/9

The addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be [tex]5x+y^4+y^6[/tex]

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Simply add the coefficients of each phrase to add polynomials.

You may remove polynomials by subtracting the coefficients.

To add polynomials, just combine any like terms.

Step 1: Arrange each polynomial in decreasing order of degree, starting with the term with the highest degree.

Step 2: Sort the words that are similar. Similar phrases have the same variables and exponents.

So, the addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be (2x+3x) (As here both are only the like terms, so they will be added together)

So, the sum will be: [tex]5x+y^4+y^6[/tex]

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The correct question should be:

What is the result of adding the system of equations:

[tex]2x+y^4[/tex] and [tex]3x+y^6[/tex]

The value of x is 15 units and the value of y is 12 units from the given figure.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the figure, AB is parallel to CD.

∠AOB=∠COD (Vertically opposite angles)

∠OAB=∠ODC (Alternate angles)

By AA similarity ΔAOB similar to ΔCOD

Now, 9/x =y/20 =3/5

9/x=3/5

x=15 units

y/20=3/5

y/4=3/1

y=12 units

Therefore, the value of x is 15 units and the value of y is 12 units from the given figure.

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Answer:

1 4/5 or 1.8 pints are white

Step-by-step explanation:

1/4 of 7 1/5 = 1/4 x 36/5 = 36/20 or 9/5, which is 1 4/5

The point at a graph where the graph cuts the x-axis is known as the x-intercept. Therefore, the x-intercept is a point.

A graph is made up of four quadrants in which two are positive and two are negative quadrant.

There are two types of axis which are x-axis and y-axis two negative and two positive.

The y-intercept is the point where the graph cuts the y-axis .Graph Theory is the study of graphs which comes under discrete mathematics.

It is defined as a mathematical structure that connects a group of points to express a specific function.

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Answer:

[tex]6x^4-13-5x^2[/tex]

[tex]given[/tex]

[tex]x^2(6x^2-13x-5)[/tex]

[tex]Factor ~ out ~the~common~Factor~of ~x^2[/tex]

[tex]x^2(3x+1)(2x-5)[/tex]

[tex]Factor ~the ~quadratic~equation[/tex]

[tex]x^2,3x+1,2x-5[/tex]

[tex]These ~factors ~can ~ be ~ the ~dimenions~of ~the ~prism~because~they ~will \\yield~the~ correct ~volume.[/tex]

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

hope it helps...

have a great day!!

Answer:

y = 34x + 3

Step-by-step explanation:

we want to write a parallel line equation for;

y = 34x-5

The general equation of a straight line is;

y = mx + b

where m is slope and b is y intercept

from what we have above, 34 is the slope

When two lines are parallel, the slope value is equal irrespective of the y intercept value

since slope is equal, we can have ;

y = 34x + 3

$1553.91

Step-by-step explanation:

839.95 ×.85 = 713.96

839.95 + 713.96 = 1553.91

Answer:

254.47 (exact)

Step-by-step explanation:

Answer:

R = 144400000/59 [this is a fraction]

Answer:

x=-12/5

Step-by-step explanation:

2x-7=7x+5

2x-7x=5-(-7)

-5x=5+7

x=12/-5

x=-12/5

Step-by-step explanation:

A form of reasoning called induction is the process of forming general ideas and rules based on your experiences and observations.

The process of welcoming newly hired employees and assisting them in adjusting to their new positions and working surroundings is known as induction. Beginning a new work can be stressful, so new hires require assistance adjusting to their new environment.

The action or process of inducting someone to a position or organization.

We have given that,

A form of reasoning called is the process of forming general ideas and rules based on your experiences and observations.

As a result, the process of formulating general hypotheses and rules based on your observations and experiences is known as induction.

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Answer:The answer to your question is 5

The degree of the polynomial x4 x3 5x 3 is 4, since it is the highest degree of the polynomial.

A polynomial is an expression that consists of variables, coefficients, and operators such as addition, subtraction, multiplication, and division. It is used to represent a mathematical relationship between variables. The degree of a polynomial is the highest power that appears in the expression, and it indicates the number of terms that make up the polynomial. Polynomials are usually written in descending order of powers, and the highest power is the leading term.

The highest degree of any polynomial is considered its degree. It is also referred to as the degree of the polynomial's leading term, since it is the highest power of x. In this case, the leading term is x4.

The degree of a polynomial can be used to classify the type of polynomial it is. For example, if the degree of a polynomial is 2, it is a quadratic polynomial. Similarly, if the degree of a polynomial is 3, it is a cubic polynomial.

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The inequality is solved as x < 5 and it is plotted on the number line.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality is −8 + x < −3.

It can be solved as follows,

⇒ −8 + x < −3

Add 8 both sides as,

⇒ 8 + −8 + x < −3 + 8

⇒ x < 5

It can be plotted on the number line as follows,

Hence, the solution is given as x < 5 and it is represented on the number line with clarity.

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