Which binomial is a factor of x^2+2x-24

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.

It is given that:

The pentagon has five sides.

As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.

The angles are 72°.144°,216°, and 288°.

Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ1

Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

To know more about Length .

https://brainly.com/question/30582409

#SPJ8

Answer:

D. 10r7

Explaination:

9 goes into 97 10 times, and has a remainder of 7

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

To know about quadratic equation visit:

https://brainly.com/question/1526946

#SPJ1

Answer:

a

Step-by-step explanation:

Answer:

$108

Step-by-step explanation:

markdown  ​=  percent markdown * selling price

=10%*520

= 0.10*520

=52

Next find the sale price. To find the sale​ price, subtract the markdown from the selling price.

sale/price ​=  selling price - markdown

=520 - 52

=468

Now find the markup.

markup  ​=  sale price - cost

=468 - 360

=108

​Thus, the markup from cost to sale price is ​$108.

Answer:

It doesn't specify so . . .

If its the bottom right it's 90°

If it's the bottom left it's 48°

Step-by-step explanation:

Ok so first, the triangle is a right triangle

meaning there's  a 90° angle

Great, We now know two angles

90° and 42°

All angles of a triangle add up to 180

so we make it into an equation

and solve it.

42 + 90 + 6x = 180

132 + 6x = 180

-132         -132

6x  = 48

Divide by 6 to leave x by itself.

x = 8

Now we can see what 6x actually is

6 ( 8 ) = 48

Note: This is for the bottom left angle. 6x

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

Read more about range at

brainly.com/question/27910766

#SPJ1

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

More can be learned about similar triangles at brainly.com/question/11920446

#SPJ1

Answer:

173 949 pounds

Step-by-step explanation:

radius of the hemisphere = diameter / 2 = 11 feet

Volume of the hemisphere = (2/3  * radius^3 * pi) = = (2/3 * 11^3 * pi) = 2.787,639881 ft^3

Total weight = volume of the hemisphere * 62.4 = 173,948.728592

The number of short sleeves that Maria sold is 819.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.

The number of short sleeves will be:

= Ratio for short sleeve / Total ratio × Total number of clothes

= 9 / (8 + 9) × 1547

= 9/17 × 1547

= 819

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

Read more about domain at

https://brainly.com/question/2264373

#SPJ1

Given that

The objective function is represented as

z = 4x + 6y

And we have to find the maximum and minimum value of the objective function.

Explanation -

The given points on the graph are

A (3, 10)

B (7, 5)

C (8, 3)

D (2, 2)

And we have to find the value of the objective function at A and the maximum and minimum value of the objective function.

So we will find the value of the objective function at all the points.

Hence the maximum value of the objective function is at A i.e 72

and the minimum value of the objective function is at D i.e 20.

Final answer -

As a result, length of a side is around 1347.1 inches to the nearest 10th of an inch.

The Law of Sines, which states that the ratio of the length of a side to the sine of the angle opposite that side is equal for all sides and angles in a triangle, can be used to determine the length of side an in ABC.

The following equation can be created by applying the Law of Sines:

C/sin(31°) = a/sin(74°)

If we are aware that c = 720 inches, we can use a calculator to determine sin(31°):

sin(31°) ≈ 0.51504

As a result, we can find a:

A is equal to sin(74°)*c/sin(31°)

a ≈ 0.96231 * 720 / 0.51504 \sa ≈ 1347.11

With a 10th-inch precision, we obtain:

1354.7 inches

Learn more about triangles here:

brainly.com/question/2773823

#SPJ9

Answer:

its actually 1343.8

Step-by-step explanation:

Answer: B: CAB and GEF

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Did test, is right

The linear function there after 18 minutes of calls, then the credit was = $29

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that,

Slope = -0.16

There linear function is $29.00 in credit remaining on the card after 25 minutes of calls

There after 18 minutes of calls?

Slope m = -0.16

Let us assume,

x = 25 minutes

y = $29.00 in credit

Substitute this values,

So,

We can write,

y = mx + b

$29.00 = (-0.16) (25) + b

$29.00 = -24.84 + b

b = $29.00 + 24.84

b = $53.84

We can substitute b value,

y = mx + b

y = (-0.16) x + $53.84

y = \(-0.16x\) + $53.84

y = (-0.16)(25) + $53.84

y = -24.84 + $53.84

y = $29

Therefore,

The linear function there after 18 minutes of calls, then the credit was = $29

To learn more about Linear function problems visit :

brainly.com/question/21107621

#SPJ4

Step-by-step explanation:

the numbers : x, y

x = 11 + 2y

x + y = 7y - 1

we use the first equation in the second :

11 + 2y + y = 7y - 1

12 + 3y = 7y

12 = 4y

y = 3

x = 11 + 2y = 11 + 2×3 = 11 + 6 = 17

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

Read more on triangle here: brainly.com/question/22891315

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

After 15 years, there will be 3.150 grams of substance.

Step-by-step explanation:

Remember that the general exponential function for decay is:

Where Q(t) is the quantity after t years, and Qo is the initial quantity.

Since we know that there were 10 grams initially and that after 9 years only 5 grams remain, we can say that:

Solving for k,

This way, we'll have that:

We can calculate how much substance is left after 15 years as following:

We can conclude that after 15 years, there will be 3.150 grams of substance.

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

Learn more about Ratios here :

https://brainly.com/question/1706633

#SPJ9

A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a common point. The height of a pyramid is the perpendicular distance from the base to the apex.

A cube is a three-dimensional shape that has six square faces of equal size. All angles of a cube are right angles, and all edges have the same length. The volume of a cube is given by the formula V = s³ where s is the length of one edge.

A rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces are congruent and parallel, and all angles are right angles. The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the lengths of the three perpendicular edges.

A sphere is a three-dimensional shape that is perfectly round and has no edges or corners. It is defined as the set of all points in three-dimensional space that are equidistant from a given point called the center. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Learn more about pyramid on:

https://brainly.com/question/218706

#SPJ1

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

For more questions on Division .

https://brainly.com/question/30340100

#SPJ8

Answer:

x = 19

Step-by-step explanation:

All triangle angles equal 180

3x + 9 + 2x + 4x = 180

9x + 9 = 180

9x = 171

x = 19