Please help with this math question!

Answer:

  -3, 0, 5

Step-by-step explanation:

You want the zeros of P(x) = x³ − 2x² − 15x using the factored form.

We notice right away that x is a factor of every term. Factoring that out gives us a quadratic to factor:

  P(x) = x(x² -2x -15)

To factor this, we need two factors of -15 that have a sum of -2. The factors -5 and +3 have those properties. That means our factored form is ...

  P(x) = x(x +3)(x -5) . . . . factored form

This product will be zero when any of its factors is zero. Considering them one at a time, we find the zeros of P(x) to be ...

  x = 0

  x +3 = 0   ⇒   x = -3

  x -5 = 0   ⇒   x = 5

The zeros of P(x) are -3, 0, 5.

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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From the given linear function, it is found that:

The density of the substance is of 1.5 grams per milliliter.

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficient m is the relevant coefficient of the linear function in this problem, which is the slope, representing by how much the output (in this case the mass) changes when the input (in this case the volume), increases by 1.

The density is given by the mass divided by volume, that is:

Density = mass/volume.

This graph is a proportional relationship, which is a special case of a linear function(intercept of 0), hence the density is calculated applying the division of the mass by the volume at any point of the graph.

Choosing point (2,3), the density is given as follows:

Density = 3/2 = 1.5 grams per milliliter.

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Answer:

equilateral triangle.

Answer:

124 us cups

Explanation:

Answer:

c

Step-by-step explanation:

at least means >=

n+17 >= 68

so n>=51

The surface area of the given sphere is 764.15 square inches.

Given that, the sphere has diameter = 15.6 inches.

Here, radius = 15.6/2 = 7.8 inches

We know that, surface area of a sphere is 4πr².

Now, surface area = 4×3.14×7.8²

= 764.15 square inches

Therefore, the surface area of the given sphere is 764.15 square inches.

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Answer:

\(m\angle PUQ = 43\textdegree\)

Step-by-step explanation:

\(\angle PUQ\), \(\angle QUR\), \(\angle RUS\), and \(\angle RUT\) all form a straight line, so their measures add up to \(180 \textdegree\). Therefore, \(m\angle PUQ = 180 \textdegree - m\angle QUR - m\angle RUS - m\angle RUT\) \(=180\textdegree - 49\textdegree - 52\textdegree - 36 \textdegree = \bold 4 \bold3\bold\textdegree\). Hope this helps!

Math isn't my best subject, but I beleive its 43.

49+52+36=137

137-180= 43.

Sorry if it's correct, but I believe 43 is the answer.

Answer:

The customer can make 42 different selections

Step-by-step explanation:

Here, we want to know the different selections a customer can make

A customer can request 1 engine size, 1 body style and 1 colour scheme from the available set for his car

Out of 3 engine sizes , he will select 1; that will be 3 C 1

Out of 3 body styles, he will select 1, that will be 3 C 1

Out of 7 color schemes, he will select one and that is 7 C 1

So the number of different selections will be;

3 C 1 * 3 C 1 * 7 C 1

= 3 * 3 * 7 = 42 different selections

Answer:

C

Step-by-step explanation:

i just did that question and got it right!!

Answer:

4

Step-by-step explanation:

Denominator is multiplied by -1, so the same with numerator.

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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The total number of players at the baseball game was 16.

To solve this problem, we can use a proportionality equation.

If we let "p" be the total number of players at the baseball game and "y" be the number of players who chose a bottle of water, we can set up the equation:

y ÷ p = 3 ÷ 4

According to the problem statement, 12 players chose a bottle of water, which is 3/4 of the total number of players.

So we can substitute that in:

12 ÷ p = 3 ÷ 4

To solve for "p", we can cross-multiply and simplify:

12 × 4 = 3 × p

48 = 3 × p

p = 48 ÷ 3

p = 16

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Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

Answer:

In the figure below,

A) x+2y=30

x=30-2y

B) x=8, y=11 and the solutions x and y represent the prices of tickets for students and non students.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x + 3y = 49

x + 2y = 30

A) From eq 2,

x+2y=30

x=30-2y

B) x and y represents the prices of tickets for students and non students.

2(30-y)+3y=49

60-4y+3y=49

y=60-49

y=11

x=30-2y

x=30-2(11)

x=30-22

x=8

The solutions x and y represent the prices of tickets for students and non students.

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16.5 / p = 11 / 18

p = 16.5 × 18 / 11

p = ( 16.5 / 11 ) × 18

p = 1.5 × 18

p = 27

The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96

From the question, we have the following parameters that can be used in our computation:

(-1,8), (5,-4), (7,8), (2,-6)

Using a graphing calculator, we have the following summary:

function value

mean of x 3.25

mean of y 1.5

correlation coefficient r 0.9990171837

A 1.380577428

B -5.769028871

C 0.9553805774

The equation is represented as

y = ax^2 + bx + c

So,, we habe

y = 1.38x^2 - 5.77x + 0.96

Hence, the equation is y = 1.38x^2 - 5.77x + 0.96

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The rational expression (x + 4)/10 - 4 when x = 5 is -3.1 or -31/10

From the question, we have the following parameters that can be used in our computation:

Expression = (x + 4)/10 - 4

The value of x is given as

x = 5

Substitute the known values in the above equation, so, we have the following representation

Expression = (5 + 4)/10 - 4

So, we have

Expression = 9/10 - 4

Divide

Expression = 0.9 - 4

So, we have

Expression = -3.1 or -31/10

Hence, the rational expression when x = 5 is -3.1 or -31/10

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Question

What is the value of the rational expression (x+4)/10 - 4 when x = 5?

The future value is $10,354.72.

The total interest earned is $754.72.

When an amount is compounded quarterly, it means that both the amount deposited and interest already earned increases in value every quarter.

The future value = quarterly deposit x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

Annuity factor = [1.01^16) - 1 ] / 0.01 = 17.26

17.26 x 600 = $10,354.72

Total interest earned = future value - total amount deposited

Total amount deposited  = $600 X 4 X 4 = 9600

$10,354.72 - 9600 = $754.72

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《Answer》

hope the answer helps

Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

The data shown is quantitative and continuous.

The Marcas family has listed distances to attractions in Florida as: (157, 395, 204, 150, 381, 537, 99.4, 289, 231, 246).

The data shown is quantitative and continuous.

It should be displayed in a histogram because it effectively represents the distribution of numerical data, allowing the family to visualize the distances and make an informed decision about their trip.

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Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer:

40

Step-by-step explanation:

\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)

Answer:

Sine Theta is a negative number, Tan Theta is a greater number then zero.

Step-by-step explanation:

If Sine Theta is less then zero, she is a negative number. So 0 - y = -y.

So if Tan Theta is a greater number than zero, her number is not negative. So 0 + y = y

I hope this helped! I didn’t really understand the question though.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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the base timed by the height

Answer:

y-intercept = (0,3)

Step-by-step explanation: