PLEASE ANSWER LAST QUESTION I NEED PLEASE LIKE PLEASE. ILL GIVE BRAINLIEST TOO

The expression that is a factor of the polynomial x³ + 2x² - 9x - 18 is (x + 2).

Factoring of a polynomial is the method of breaking the polynomial into a product of its factors.

For example x² - 4 can be broken as (x - 2) and (x + 2).

Therefore, the expression that factor the polynomial x³ + 2x² - 9x - 18 is as follows:

Therefore,

x³ + 2x² - 9x - 18 = (x - 3)(x² + 5x + 6)

Let's break (x² + 5x + 6) down

x² + 5x + 6

x² + 2x + 3x + 6

x(x + 2) + 3(x + 2)

(x + 3)(x + 2)

Therefore, the factors are (x + 3)(x + 2) and (x - 3)

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Answer:

The answer is C, (x+2).

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

=1400/160

=8.75

Step-by-step explanation:

=

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

this question got asked three times =)

Answer:

52 is the answer

Step-by-step explanation:

You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.

3(7)=21

Subtract the numbers in the paratheses once you have found the number with the variable.

21 - 8 = 13

Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.

4 * 13 = 54 or 13 * 4 = 54

I hope this helps u! :D

Answer:

So lets isolate y

we have

-2x+3y=9

2/3x +2y=0

Im gonna do the first equation

so -2x + 3y = 9

Add 2x on both sides

3y= 9+ 2x

Now divide by 3 to isolate y

y= 3+ 2/3x

Now we can subsitute y into any eqaution (I’m gonna do the second one) to solve.

2/3x+ 2(3+ 2/3x)= 0

Solve:

2/3x+ 6 + 4/3x = 0

6/3x +6= 0

2x+6=0

2x= -4

x= -2

Now we can subsitute this for any equation.

so I’m gonna do the first equation

-2(-2)+3y=9

4+3y=9

3y= 5

y= 5/3

y= 1 2/3

Final answer:

x=-2

y= 1 2/3

Answer:

(a)14 seats

(b)1,050 seats

Explanation:

The theater has 10 seats in the first row and 30 seats in the 6th row.

We can model this as an arithmetic progression problem where:

• The first term, a = 10

• The last term, l = 30 when n=6

We know that for an arithmetic progression:

Therefore, the number of seats in the 11th row will be:

(b)The theater has a total of 21 rows.

To determine the total number of seats, we use the formula for the sum of an arithmetic progression.

We define the variables:

• Since the theatre has a total of 21 rows, therefore n=21

• The first term, a = 10

• Common difference, d = 4

We substitute into the formula above:

There are a total of 1,050 seats in the theater.

Answer: Choice D is correct

You use the HL (hypotenuse leg) theorem here.

The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.

The other choices don't have enough information to be able to say if the triangles are congruent or not.

The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.

The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.

Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

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Answer:

sqroot(111) is irrational.

Step-by-step explanation:

Natural are 1, 2, 3, 4...

Whole are 0, 1, 2, 3...

Irrational are decimals that don't end or repeat. Sqroot(111) is 10.535653752...

Nonreal have an i, the imaginary number.

Rational are fractions (or can be written as a fraction) or decimals that end or repeat.

Answer:

7

Step-by-step explanation:

Sorry if my answer is wrong

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

Step 2

1 2/3 was converted as 5/2 instead of 5/3

Step-by-step explanation:

Number of batches

Solution by Janice:

Error made at step 2:

1 2/3 was converted as 5/2 instead of 5/3

Answer:

A

Step-by-step explanation:

The calculated length of the segment MN in the triangle is 20

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

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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Answer:

Slope: -69

Y-intercept: -346 or (0, -346)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -69x - 346

    m = -69

    b = -346

Answer:  The − sign here means subtraction. However, recall that 4 − 7 can be rewritten as 4 + (−7), since subtracting a number is the same as adding its opposite.

Step-by-step explanation:

Yes, 3 + (-4) is the same as -4 + 3, and this is due to the Commutative Property of Addition

The Commutative Property of Addition states that the order in which numbers are added does not change the result. In other words, when adding two or more numbers, we can change the order of the numbers without affecting the final sum.

So, in the case of 3 + (-4) and -4 + 3:

3 + (-4) = -1

-4 + 3 = -1

Both expressions have the same result of -1, which confirms that they are equal, and it's because of the Commutative Property of Addition.

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Answer:

=======================

Equation of circle:

The center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.

So the coordinates of the center are:

The equation is:

Answer:

\((x+8)^2+(y-8)^2=64\)

Step-by-step explanation:

Required conditions:

If the circle is tangent to both axes, its center will be the same distance from both axes.  That distance is its radius.

If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).

Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.

If the radius is 8 units, then the center is (-8, 8).

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:

\(\implies (x-(-8))^2+(y-8)^2=8^2\)

\(\implies (x+8)^2+(y-8)^2=64\)

Answer:

comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Step-by-step explanation:

Based on the modern method of archeological findings used, it is the view of some scientists that the best plan to test the hypothesis (assumption) that early tetrapods might have evolved from lobe-finned fishes involves comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Answer:

The cost of any number of 8*10 photos is twice the cost of the same number of 5*7 photos.

Explanation:

Given that the cost of 5 inch by 7 inch photo is $1 and the cost of 8 inch by 10 inch photo is $2.

This means that the cost of each 8 inch by 10 inch photo is twice the cost of 5 inch by 7 inch photo.

According to the table, it follows the same trend for other corresponding numbers of photos.

Therefore;

The cost of any number of 8*10 photos is twice the cost of the same number of 5*7 photos.

Answer:

C. 12π

Step-by-step explanation:

C = π2r
C = π*2*6
C = π*12
C = 12π

Hope this helps :)

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To find out how long it will take for the arrow to hit the enemy on the bridge, we need to find the time when the height of the arrow is 45 feet (the height of the enemy's head above the ground).

So, we can set h(t) equal to 45 and solve for t:

h(t) = − 16t²+60t + 9.5

45 = −16t² + 60t + 9.5

Rearranging the equation, we get:

16t² - 60t - 35.5 = 0

To solve for t, we can use the quadratic formula:

t = (-b ± sqrt(b² - 4ac)) / 2a

where a = 16, b = -60, and c = -35.5

Plugging in the values, we get:

t = (-(-60) ± sqrt((-60)² - 4(16)(-35.5))) / 2(16)

Simplifying the expression inside the square root, we get:

t = (60 ± sqrt(3600 + 2272)) / 32

t = (60 ± sqrt(5872)) / 32

t ≈ 0.81 or t ≈ 3.69

Since we're looking for the time when the arrow hits the enemy, we need to choose the positive solution: t ≈ 3.69 seconds.

Therefore, it will take approximately 3.69 seconds for the arrow to hit the enemy on the bridge with a perfect headshot.

Answer:

55

Step-by-step explanation:

plug in the numbers to the equation

7(5)+5(4)=55

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

y = 2.5x

Step-by-step explanation:

Note where all the points are.

When x = 0, y = 0

When x = 2, y = 5

When x = 8, y = 20

You simply need to find how much "y" is for each "x". Divide y with x:

5/2 = 2.5

Check. Plug in the x, and obtain the y:

y = 2.5x

y = 2.5(4) = 10 (True).

y = 2.5(8) = 20 (True).

~

Answer:

(8x9)^4

Step-by-step explanation: i am 99% sure

Answer:

72^4=26873856

Step-by-step explanation:

Answer: ( 2,12 )

Step-by-step explanation:

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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Clearer image, please!

Answer:

39

Step-by-step explanation:

Argon is the gas who would work best for something that needs a steady, nonreactive gas. (Ar).

When a neutral environment is required, argon is frequently used. In this manner, titanium and other volatile metals are produced. Additionally, it is used in the manufacture of incandescent bulbs to prevent air from corroding their filaments and by welders to safeguard the weld region.

A chemical substance in the periodic table's 18th group is argon. It is an expensive gas and the third most common gas in the atmosphere of the planet. Aside from nitrogen and oxygen, argon is the most prevalent gas in the atmosphere.

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