what are the possible numbers of positive, negative, and complex zeros of f(x)=x^6+x^5+x^4+4x^3-12x^2+12?

The measure of the angles are 105 degrees

The sum of the angles is given as 210 degree

Alternate angles are equal.

So, we have:

x + x = 210

This gives

2x = 210

Divide by 2

x = 105

Hence, the measure of the angles are 105 degrees

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Answer:

Step-by-step explanation:

The attached image shows the figure of rotation generated by rotating a triangular shape about the x-axis.

When the given line is rotated about the x-axis, each point on the line traces a circle in the y-z plane. Those together will make a cone shape. The radius of the circle is the distance of the point from the x-axis.

The base of the cone will be the circle obtained by rotating the y-intercept about the x-axis. As above, the radius of that circular base is the y-value of the y-intercept: 8 units.

The height of the cone will be the x-value of the point where the radius is zero, at x=6.

The cone has a height of 6 units and a radius of 8 units.

Answer:

3. Increase

Step-by-step explanation:

If more people are being born compared to the number of deaths, then you have population growth.

Answer:

3. increase

Explanation:

When birth rate is higher than the death rate, it is called natural increase.

The formula for natural increase is:

[tex]natural \space\ increase = \frac{Crude \space\ Birth \space\ Rate \space\ - \space\ Crude \space\ Death \space\ Rate}{100}[/tex]

Answer:

7 ÷ 15 = 0.46666666666667

Step-by-step explanation:

Answer:

0.47

Step-by-step explanation:

To turn any fraction into a decimal, we must simply divide the numerator by the denominator. 7 divided by 15 is equal to 0.466666...

If we round this number to the nearest hundredth, we get 0.47.

Answer:

can't see anything in this photo because this photo is not clear

The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form

An equation is an expression that shows the relationship between two or more variables and numbers.

A fraction in its simplest terms is given as a/b, where a is the numerator and b is the denominator.

Hence:

0.7 / 8 = 7 / 80

The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form

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In accordance with the definitions of rigid transformation and translation, the correct rule for the translation is defined by (x, y) → (x - 3, y + 4). (Right choice: A)

Mathematically speaking, transformations are rigid transformations that are modelled according to the following formula:

P'(x, y) = P(x, y) + (h, k)     (1)

Where:

Hence, a leftward translation indicates that h < 0. The correct rule for the translation is defined by (x, y) → (x - 3, y + 4).

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Answer:

a

Step-by-step explanation:

the picture

Answer:

x = - [tex]\frac{5}{p}[/tex]

Step-by-step explanation:

px + 17 = 12 ( subtract 17 from both sides )

px = - 5 ( isolate x by dividing both sides by p )

x = [tex]\frac{-5}{p}[/tex] = - [tex]\frac{5}{p}[/tex]

Answer:

276 feet

Step-by-step explanation:

The best way to do this is to complete the square, which puts the quadratic in vertex form. The vertex of a negative parabola, which is what this is, is the highest point of the function...the max value.  The k coordinate of the vertex will tell us that highest value.  To complete the square, we will first set the quadratic equal to 0, then move the constant over to the other side:

The rule for completing the square is that the leading coefficient must be a positive 1.  Ours is a negative 16, so we have to factor out -16:

Now the next thing is to take half the linear term, square it, and then add it to both sides.  Our linear term is 7, half of that is 7/2.  Squaring 7/2 gives you 49/4.  So we add 49/9 into the parenthesis on the left.  However, we can't forget that there is a -16 out front there that refuses to be ignored.  We have to add then (-16)(49/4) onto the right:

The purpose of this is to create a perfect square binomial that serves as the h value of the vertex (h, k).  Stating that perfect square on the left and doing the addition on the right:

Now we finalize by moving the constant back over and setting it back equal to y:

The vertex is

That translates to "at 3.5 seconds the particle is at its max height of 276 feet".

Answer:

y = 2x - 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 4 = 2(x - 3) ← distribute the parenthesis

y + 4 = 2x - 6 ( subtract 4 from both sides )

y = 2x - 10 ← in slope- intercept form

Step-by-step explanation:

We have a dilation because we are multiplying the pre image by some constant,

Since dilations doesn't preserve side length, they are a non rigid motion.

According to the rule, we multiply the x values by 3 and the y values by 2.

So our new points are

A'(9,10)

B'(15,6)

C'(6,4)

Using the Factor Theorem, the inequality that represents the given region is:

[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

The roots are given as follows:

[tex]x_1 = -40, x_2 = 50[/tex]

Hence:

y = a(x + 40)(x - 50)

It includes the point (-55,-75), hence:

-75 = a(-55 + 40)(-55 - 50)

a = 75/(15 x 105)

a = 1/21

Hence the region less than the equation is:

[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]

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Answer:

D

Step-by-step explanation:

Ly has 15 dimes, 12 nickels and 30 quarters given that he has 3 more dime than nickels and twice as many quarters than dimes and the value of these coins is $9.60. This can be obtained by giving variables to each represent the number of each coin and adding the values to equate with the total value of coins.

Let number of dimes be y

Given that,

3 more dime than nickels ⇒ Number of nickel = y - 3

twice as many quarters than dimes ⇒ Number of quarters = 2y

9.60 = 0.1y + 0.05(y-3) + 0.25(2y)

9.60 = 0.1y + 0.05y - 0.15 + 0.5y  

9.60 = 0.1y + 0.05y - 0.15 + 0.5y  

9.60 + 0.15 = 0.65y

y = 9.75/0.65 = 15

y = 15

Therefore the number of each coin,

Hence Ly has 15 dimes, 12 nickels and 30 quarters given that he has 3 more dime than nickels and twice as many quarters than dimes and the value of these coins is $9.60.

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Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

Transformation is a process in which the size and/or orientation of a given figure are/is adjusted. The appropriate answers are:

i. equal to

ii. congruent to

iii. the same distance to

Transformation is the process required to either increase or decrease the size of a given shape, or change the orientation of a given shape. The methods of transformation are dilation, reflection, rotation, and translation.

Thus the required statements to complete the reflection across a line as required in the question are:

i. equal to

ii. congruent to

iii. the same distance to

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Answer:

baahsuslskissisudjxnxnx

Step-by-step explanation:

13.6 is the answer because 1cm is 10 cm

Answer:

13.6 cm

Is the second requested unit mm?  The value is already in mm.

Step-by-step explanation:

Use conversion factors for the metric system.

By definition:  1cm = 10mm

We can write this as a conversion factor.  Either:

 1)  1cm/10mm, or

 2) 10mm/1cm

We are given 136 mm.  Convert that by using either conversion factor.

(136mm)*(1cm/10mm) = 13.6 cm  Note how the mm unit cancels.

To use the other conversion factor, do a division:

(136mm)/(10mm/1cm) = 13.6 cm

====

136 mm is already 136 mm.  

Answer:

3

Step-by-step explanation:

jus took test

Answer:

first one is x = -1

Step-by-step explanation:

if you want me to do all of them ( which I can) then ima need more points then just 5 :)

The value of discriminant [tex]b^{2} -4ac[/tex] of the equation [tex]-2x^{2} -3x+8=0[/tex] is equal to 73.

Given equation [tex]-2x^{2} -3x+8=0[/tex] and we have to find the value of determinant and the number of roots of the equation.

Determinant is the quantity that depends on the coefficients of variables.

To find out the value of determinant we have to put the values in [tex]b^{2} -4ac[/tex] in which b=-3, a=-2 and c=8

[tex]b^{2} -4ac[/tex]=[tex]-3^{2} -4*(-2)*8[/tex]

=9+8*8

=9+64

=73

And because the value of discriminant is one so the number of real solution that [tex]-2x^{2} -3x+8=0[/tex] is 2. If the discriminant is equal to zero then there is exactly one real root.

Hence the value of determinant of the equation [tex]-2x^{2} -3x+8=0[/tex] is 73.

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Answer:

A. y<-1/5x+1

Step-by-step explanation:

First, find the slope of the line

delta y / delta x = slope (delta means "change in", so delta y would the the change in y)

the change in y is 1, and the change in x is -5, so the slope is -1/5

we now know that the equation of the line is
y=-1/5x+1

The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true

Right now, we have:

y[?]-1/5x+1, where "[?]" is either > or <

we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true

plug in:

0[?]-(1/5)*0+1

0[?]1

clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation

y<-1/5x+1 , or "A"

Answer:

approximately 8.5

Step-by-step explanation:

So you can use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex] which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points

Now all you have to do is plug the values in to get

[tex]\sqrt{(-7 - (-4))^2 + (-8 - 0)^2}\\\sqrt{(-3)^2 + (-8)^2}\\\sqrt{9 + 64}\\\sqrt{73}\\distance \approx 8.5[/tex]

Answer:

C

Step-by-step explanation:

because it just make sence

Answer:

McKenna runs all the way home from school ...

Step-by-step explanation:

In this distance v time graph, a negative slope means going from school to home, a positive slope means going from home to school, and a flat section means staying at a particular location without moving.

This shows that the food will only last 1 1/3 meals

Fractions are written as a ratio of two integers. Given the following

Total pounds of food bought = 24 pounds

Amount fed each per meal = 3/4 * 24 pounds = 18 pounds

Remains = 24 - 18

Remaining = 6 pounds

This shows that the food will only last 1 1/3 meals

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Answer:

B) [tex]-5\leq y\leq -1[/tex]

Step-by-step explanation:

The range is the lowest point to the highest point on the graph.

Remember this:

1. domain (x-axis) LEFT –> RIGHT

2. range BOTTOM (y-axis) –> TOP

when this equation is graphed over the domain, it limits the range to being (8,–5) and (–8,–1) and since with range you only look at the y-coordinates that means that the range is [–5,–1]

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

Answer:

(a) x = 0

(b) g(2) = -5

Step-by-step explanation:

Another way of representing g(x) is with the variable "y". In other words, the value of g(x) is the value on the y-axis (vertical axis).

(a) The question is asking you to give the "x" value when the line crosses y = -4. The only value which satisfies this is x = 0.

(b) When 2 is placed inside the parentheses of g(x), it is asking you to find the "y" value of the line at x = 2. The only value which satisfies this is y = -5.