What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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The least amount possible is $25 and the number of miles is 25 miles

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

Yellow Taxi service charges a $15 flat fee plus $2.50

This means that

Yellow Taxi: y = 15 + 2.5x

For the graph, we have

y-intercept = 10

(x, y) = (0, 10) and (2, 16)

So, the slope is

slope = (y₂ - y₁)/(x₂ - x₁) = (16 - 10)/(2 - 0) = 3

So, we have

Black and White Taxi service: y = 10 + 3x

Yellow Taxi: y = 15 + 2.5x

When he travels for 5 miles, we have

Black and White Taxi service: y = 10 + 3 * 5 = 25

Yellow Taxi: y = 15 + 2.5 * 5 = 27.5

Hence, the least amount possible is $25

This means that we equate the above equations

So, we have

15 + 2.5x = 10 + 3x

Evaluate the like terms

0.5x = 5

Divide

x = 25

Hence, the distance is 25 miles

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Answer:

168 adult tickets

Step-by-step explanation:

3.75(82) (82 students)

307.5

2071.5 - 307.5 ( you subtract since you only need to know the number of adults)

1764

1764/10.5 (you divide since each adult is 10.5$)

168

The number of adult tickets sold was 168.

Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.

Total number of students =82

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

a is the number of adult tickets sold and b is the number of student tickets sold.

Now, 10.50a+3.75b=2071.50

Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.

10.50a+3.75×82 =2071.50

⇒10.50a+3.75×82 =2071.50

⇒10.50a+307.5 =2071.50

⇒10.50a=1,764

⇒a=168

Therefore, the number of adult tickets sold was 168.

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Answer:

it not

Step-by-step explanation:

Answer:

it is 74389

Step-by-step explanation:

you do 74 + 094904

Answer:

D. 10 units

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

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

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

0.001 (one thousandth)

Step-by-step explanation:

hope this helps

Answer:

1 thousandth

Step-by-step explanation:

2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.

Hope it helps!

Answer:

4, -4, 36

Step-by-step explanation:

a) a*2 = -2*-2 = 4

b) a^2 = -2^2 = -4

c) a*3^2= 3*-2^2 = -36

Answer:

5/4 + -x/3

Step-by-step explanation:

Operations on how to solve this problem:

1. Multiply the numbers.

2. Combine multiplied terms into a single fraction

3. Add the numbers

(To guide you to the answer, look at the file I uploaded)

Answer:

A)

Step-by-step explanation:

To complete the square, we need to find such p and q that:

r^2 - 12r - 27 = (r - p)^2 - q =  r^2 - 2pr + h^2 - q

Because we know that 2pr = 12r, then p = 6

(r - p)^2 - q = (r - 6)^2 - q = r^2 - 12r + 36 - q

We know that 36 - q = -27, so q = 36+27 = 63

Now we can solve for = 0

(r - 6)^2 - 63 = 0

(r - 6)^2 = 63

r - 6 = √63   or     r - 6 = -√63

r = 6 + √63 = 6 + 3√7      or    r = 6 - √63 = 6 - 3√7

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer:

ok good job

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

assuming you require problem 3

using the Sine Rule in Δ ABC and the exact values

sin45° = \(\frac{1}{\sqrt{2} }\) , sin30° = \(\frac{1}{2}\)

\(\frac{AB}{sin45}\) = \(\frac{BC}{sin30}\) , that is

\(\frac{8}{sin45}\) = \(\frac{BC}{sin30}\) ( cross- multiply )

BC sin45° = 8 sin30°

BC × \(\frac{1}{\sqrt{2} }\) = 8 × \(\frac{1}{2}\) = 4 ( multiply both sides by \(\sqrt{2}\) to clear the fraction )

BC = 4\(\sqrt{2}\)

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

6 is the first quartile

Step-by-step explanation:

hope it helps!

The value of the first quartile is = 6

The first quartile can be calculated arranging the data and finding the median of the first lower figures.

The given set of numbers arranged from smallest to the highest number is:

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The first lower data are,

3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

The median of the given data are two numbers which is 6+6/2 = 6.

Therefore, the value of the first quartile is = 6

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The measure and shape of the angle will not change when you translate it, only its location in space.

When you translate an angle, you are moving its position in space without changing its size or shape. The angle will maintain its measure, and the relationship between its sides and vertex will remain the same.

If you translate an angle by a certain distance in a specific direction, the new location of the angle will be a specified distance away from the original location in that direction. However, the angle itself remains the same, and it will not be affected by the translation process.

In other words, the measure and shape of the angle will not change when you translate it, only its location in space.

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Answer:

The answer is 75.

Step-by-step explanation:

First, we apply the rule of PEMDAS (or whatever order of operations rule you have learned). In this equation, we first solve inside the parentheses.

8 x 9 = 72

18/3 = 6

Now, our equation has become 9 + 72 - 6. We can solve this left to right:

9 + 72 = 81

81 - 6 = 75

The value of x in the expression is 35

The expression is written as

1/5x - 4 = 3

collect the like terms of both sides to get the value of x

1/5x = 3 + 4

1/5x= 7

Divide both sides by the coefficient of x which is 1.5

1/5x ÷ 1/5 = 7 ÷ 1/5

x= 7 ÷ 1/5

x= 7 × 5/1

x= 35

Hence the value of x in the expression is 35

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The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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Answer:

Y=x^2-2x-8

Step-by-step explanation:

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The standard form of the equation y=(x-1)²-9 is y=x²-2x-8

Two or more expressions with an Equal sign is called as Equation.

y=(x-1)²-9 equation is in the form of a quadratic equation

where y is the unknown variable and x is the known variable.

The equation can be written in standard form by expanding the (x-1)² term and combining like terms.

y=(x-1)²-9

y=x²+1-2x-9

Combine the like terms

y=x²-2x-8

The expanded form of the equation is y=x²-2x-8

Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8

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The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

= 8.24 × 10³

(scientific notation)

= 8.24e3

(scientific e notation)

= 8.24 × 103

(engineering notation)

(thousand; prefix kilo- (k))

= 8240

(real number)

How do you convert from scientific notation to standard form?

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates.