What are the binomial factors of the polynomial x^3-x^2-49x+49
a. (x-1),(x-7),(x+7)
b. (x+1),(x-7),(x+7)
c. (x-1),(x-7)
d. (x+1),(x+7)

Answer:

2790 college students

Step-by-step explanation:

30 to 2

15 to 1

186 times 15

equals 2790 students

The box plots show the data accurately is the 3rd box (the one with a median line equal 31).

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong a same number of observations.

To identify the correct box plot it is enough to calculate the median value from the given set of data.

When we arranged the data set of all the numbers, we can easily spot which one is in the middle (median):

19, 23, 26, 31, 39, 43, 44

Here we can see that 31 is the median.

Learn more about median;

https://brainly.com/question/17060266

#SPJ2

Answer:

B) A and D

Step-by-step explanation:

Below sea level already implies negative.

And on a number line, it should be -500

Answer:

x² + (y + 4.3)² = 131

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - -4.3)² = (sqrt131)²

x² + (y + 4.3)² = 131

[tex]\text{The constant term is the term that doesn't have a variable in it}\\\\\text{As you can see in the expression 24xy -5yz + 82z - 62, the only term}\\\text{that doesn't have a variable is -62}\\\\\text{This means that -62 would be your constant term}\\\\\boxed{\text{Constant term: -62}}[/tex]

Answer:

s has an x-coordinate of 4

Step-by-step explanation:

the coordinate is (4,-5)

The missing side length in the triangle with a hypotenuse of 85 and perpendicular of 84 is 13.

To find the missing side length a in the right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, we have:

[tex]\[ \text{hypotenuse}^2 = \text{perpendicular}^2 + \text{base}^2 \][/tex]

Given:

- Hypotenuse ( c ) = 85

- Perpendicular ( b ) = 84

- Base ( a ) = ?

Substituting the given values into the Pythagorean theorem equation:

[tex]\[ 85^2 = 84^2 + a^2 \][/tex]

[tex]\[ 7225 = 7056 + a^2 \][/tex]

Now, subtract 7056 from both sides:

[tex]\[ 169 = a^2 \][/tex]

To solve for a, take the square root of both sides:

[tex]\[ a = \sqrt{169} \][/tex]

a = 13

So, the missing side length ( a ) is 13.

Therefore, the correct answer is option D: 13.

Final answer:

The nth term of the sequence 7, 16, 25, 34, 43 is found using the arithmetic sequence formula and is 9n - 2. The number of small squares in pattern n is expressed as n².

Explanation:

The given sequence 7, 16, 25, 34, 43 is an arithmetic sequence, where each term increases by 9. To find the expression for the nth term, we use the formula for the nth term of an arithmetic sequence, which is an = a₁ + (n-1)d, where a1 is the first term and d is the common difference. In this case, a1 = 7 and d = 9, so the nth term expression would be an = 7 + (n-1)9 = 9n - 2.

For the number of small squares in pattern n, if the expression given is n², it suggests the number of squares grows quadratically with the pattern number. Therefore, the expression for the number of small squares in the nth pattern would be n².

Answer:

9.647×10^7

Step-by-step explanation:

The decimal is moving to the left so the 7 is positive.

Answer:

the answer is benito or 2

Step-by-step explanation:

Answer:

benito

Step-by-step explanation:

100% edge 2020! :)))

Answer:

28.5 units squared

Step-by-step explanation:

8x3 is the bottom rectangle and added 3x3x0.5 cuz it is a triangle. Add the areas and u get 4.5+24 or 28.5 units squared

Answer:

d= r/t

Step-by-step explanation:

i dont know if this is what youre looking for because i cant see the expression options but maybe it would be 6=r/30

First, you find the rate at which Jeffery types.

110 divides by 2.75. This makes 40.

Then to find the amount of words he types in 4.25 minutes,

40 x 4.25. This makes 170.

So Jeffery can type 170 words in 4 1/4 minutes.

Click to let others know, how helpful is it

Answer:

x=9

Step-by-step explanation:

3.5x - 11 = 20.5

Add 11 to each side

3.5x - 11+11 = 20.5+11

3.5x = 31.5

Divide each side by 3.5x

3.5x/3.5 = 31.5/3.5

x =9

Answer:

x=9 (don't look at explanation)

Step-by-step explanation:

Let's solve your equation step-by-step.

3.5x−11=20.5

Step 1: Add 11 to both sides.

3.5x−11+11=20.5+11

3.5x=31.5

Step 2: Divide both sides by 3.5.

3.5x

3.5

=

31.5

3.5

x=9

Answer:

x=9

Answer:

[tex]2^5*5[/tex]

Step-by-step explanation:

Step 1:  Prime Factorization

[tex]160[/tex] → [tex]2 * 2 * 2 * 2 * 2 * 5[/tex]

[tex]2 * 2 * 2 * 2 * 2 * 5[/tex] → [tex]2^5*5[/tex]

Answer:  [tex]2^5*5[/tex]

Answer:

Option A.

Step-by-step explanation:

The given system of equations is

[tex]x-4y-1=0[/tex]

[tex]x+5y-4=0[/tex]

The given equations can be rewritten as

[tex]x=4y+1[/tex]

[tex]x=4-5y[/tex]

Using comparison method, compare the values of x.

[tex]4y+1=4-5y[/tex]

Therefore, the correct option is A.

Answer:

number 1:

4y +1 = 4 - 5y

The interior angle of a regular hexagon is 120°. As two hexagons share a side, [tex]\( x \)[/tex] equals 120°.

In the given diagram, two regular hexagons share a common side, and an interior angle marked as [tex]\( x \)[/tex] is formed by the sum of the interior angles of the two hexagons. The interior angle of a regular hexagon is [tex]\( \frac{{180^\circ \times (n-2)}}{n} \)[/tex], where [tex]\( n \)[/tex] is the number of sides. For a hexagon [tex](\( n = 6 \))[/tex], this angle is [tex]\( \frac{{180^\circ \times (6-2)}}{6} = 120^\circ \)[/tex].

Considering the interior angles of both hexagons and the angle [tex]\( x \)[/tex], the equation [tex]\( 120^\circ + 120^\circ + x = 360^\circ \)[/tex] arises, as the sum of angles around a point is 360°. Solving for [tex]\( x \) yields \( x = 120^\circ \).[/tex] Therefore, the measure of angle [tex]\( x \)[/tex] in the diagram is 120°.

This solution demonstrates the application of the interior angle formula for a regular hexagon and the consideration of the total angle around a point, resulting in the determination that [tex]\( x \) is indeed \( 120^\circ \).[/tex]

For such more questions on hexagon

https://brainly.com/question/30384520

#SPJ6

Answer:

it is 70 on usatestprep.

Step-by-step explanation:

x + 40 = 2x + 10

x = 30

So, ∠5 = 2x + 10 = 2(30) + 10 = 70

Answer:

The answer is C.) 70

Step-by-step explanation:

Corresponding angles are congruent. So, set the angles equal to each other and solve for x.

x + 40 = 2x + 10

x = 30

So, ∠5 = 2x + 10 = 2(30) + 10 = 70°

Replace the variable x with 1 in the expression

f(1)=5(1)−(1)+1

f(1) = 5

Replace the variable x with 1 in the expression.

g(1)=−3⋅1

g(1) = -3

Multiply 5 by −3

.

−15⋅1

Multiply −15

by 1

.

−15

Thus, the answer is -15

I am unsure about this answer, I have doublechecked it several times.  Please take this with a grain of salt

Answer:$14701

Step-by-step explanation:

1) at the end of the first year the account will be 1*(12 000)+0,07*(12 000)=1,07*12 000,

2) at the end of the second year 1*(1.07*12 000) + 0.07*(1.07*12 000) = 1.1449*12 000,

3) at the end of the third year 1*(1,1449*12 000) + 0.07*(1,1449*12 000) = 1.225*12 000 = 14,700.516 = 14701

Answer: $14701

Answer:

The median of a data set is better when you have a term or terms that are not close to the other terms

Step-by-step explanation:

For example:

Say you have the data set

1, 15, 17, 18, 22, 84

The median of these terms would be 17.5

       (it is the exact center of the data group)

17 + 18 = 35

35/2 = 17.5

The mean of these terms would be 26.17  

    (this number is not close to the center because the numbers 1 and 84

      are not close enough to the other terms)

1 + 15 + 17 + 18 + 22 + 84 = 157

157/6 = 26.17

Answer:

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

Answer:

The answer is A)

Step-by-step explanation:

A)-15+1=14

B)0+12=12

C)1+11=12

Answer:

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for explanation

To represent the number of visitors to the Booneville History Museum t years after 1980, the correct function is D-v(t) = 25000(1.025).

To represent the number of visitors to the Booneville History Museum t years after 1980, we can use the formula v(t) = 25000(1 - 0.025)^t. This is because the number of visitors decreases by 2.5% each year. The term (1 - 0.025)^t represents the decay factor where t is the number of years after 1980.

Therefore, the correct function to represent the number of visitors to the Booneville History Museum t years after 1980 is D-v(t) = 25000(1.025).

Answer:

B, C, E are true

Step-by-step explanation:

A = l*w

The original rectangle is 6 by 4  with A = 24

The 1st enlargement = 6*3 by 4*3

                                   18 by 12  with A = 216

The second enlargement is 18*3 by 12*3

                                              54 by36 with A =1944

A.The area of the first enlargement is 72 square inches.

False it is 216

B.The area of the second enlargement is 1,944 square inches.

True

C.The area of the second enlargement is (3 squared) squared times the original area.

216/24 =9  True

D.The area of the second enlargement is 3 times the area of the first enlargement.

1944/24 = 9  False

E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

The scale factor is 3 3^2 =9 216/24 =9

True

If you cut a sphere diagonally or along any of its diameters, you will always get a circle as the plane figure because all diameters of a sphere are of equal length.

In the field of mathematics, specifically in solid geometry, if Jackie created a diagonal cross section cut on a sphere, the plane figure that she would have discovered is a circle.

The concept behind this is that a sphere is a perfectly symmetrical three-dimensional figure. When we make a cross sectional cut along any diameter of the sphere (which is what Jackie did by making a diagonal cross section), we will always reveal a circular plane figure irrespective of the direction of this cut because all diameters of a sphere are of equal length, thus ensuring the cut is always a circle.

https://brainly.com/question/32837733

#SPJ11

A diagonal cross-section cut on a sphere will reveal a circle.

When Jackie made a diagonal cross-section cut on a sphere, she discovered a circle. Regardless of the angle or position of the cut, the intersection of a plane and a sphere always results in a circular shape. This fundamental geometric property arises from the symmetrical nature of spheres, where every cross-section manifests as a circle.

Thus, Jackie's diagonal cut revealed a circular plane figure, showcasing the inherent relationship between spheres and circles in geometry.

Answer:

3.9

Step-by-step explanation:

The total cost of her haircut was 28 dollars

step by step:

(percentage) 15 x 6 = 90

4.20 x 6 =25.2

(perscentage) 15 divided by 3 = 5

4.20 divided by 3 = 1.4

1.4 + 1.4 = 2.8

25.2 + 2.8 =28

Final answer:

The total cost of the haircut before adding the tip was $28.00, found by setting up an equation where 15% of the total cost is equal to the $4.20 tip and solving for the total cost.

Explanation:

To calculate the total cost of the haircut that resulted in a $4.20 tip given at the rate of 15%, we need to set up a proportion where 15% of the total cost equals $4.20.

Step 1: Represent the unknown total cost of the haircut by the variable x.

Step 2: Set up the equation representing the tip as 15% of the total cost (0.15x = $4.20).

Step 3: Solve for x by dividing $4.20 by 0.15.
x = $4.20 / 0.15
x = $28.00

Therefore, the total cost of the haircut before adding the tip was $28.00.