Polynomial: 2x3 +7x²-15x

Linear Factor. x+5

Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the** linear function **equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

The graph of a linear **function **is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the **independent **and dependent variables, respectively.

Given, equation

[tex]f(x)=2x^3+7x^2-15x[/tex]

putting x=-5 in above equation

[tex]f(-5)=2*(-5)^3+7*(-5)^2-15*(-5)\\f(-5)=0[/tex]

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Since, f(0)=0, hence the given x-5 is the factor of given function.The **slope-intercept** form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

The **graph **of a linear function is a **straight **line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation:

f(x) = 2x³ + 7x² - 15x

Putting x = -5 in above equation:

f(-5) = 2 * (-5)³ + 7 * (-5)² - 15 * (-5)

f(-5) = 0

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2

Given the coordinates, classify AQRT by by its sides. Q(-2, -1), R(1, 5), T(-8,-4)

If necessary, round to the tenths place.

QR

Classify:

RT=

QT

To classify a quadrilateral by its sides, we need to calculate the distance between each pair of its vertices.

The distance between Q and R is the square root of ((1-(-2))^2 + (5-(-1))^2) = square root of (3^2 + 6^2) = square root of (9+36) = square root of 45 = 6.7

The distance between R and T is the square root of ((-8-1)^2 + (-4-5)^2) = square root of (9+81) = square root of 90 = 9.5

The distance between Q and T is the square root of ((-8+2)^2 + (-4+1)^2) = square root of (10+5) = square root of 15 = 3.87

If the quadrilateral is a rectangle, two sides of it have to be equal, so in this case, AQRT is not a rectangle.

If the quadrilateral is a rhombus, all four sides have to be equal, so in this case, AQRT is not a rhombus.

If the quadrilateral is a square, all four sides have to be equal, so in this case, AQRT is not a square.

If the quadrilateral is a trapezoid, two adjacent sides are parallel, so in this case, AQRT is not a trapezoid.

If the quadrilateral is a parallelogram, two pairs of opposite sides are parallel, so in this case, AQRT is not a parallelogram.

If the quadrilateral is a kite, two pairs of sides have the same length, so in this case, AQRT is not a kite.

So the only possible classification is that AQRT is a general quadrilateral.

so we have:

QR = 6.7

RT = 9.5

QT = 3.87

Francesca and her family traveled out of state to visit family members. The first day they drove 238 miles. The second day they drove 55 more miles than the first day. Francesca wants to find the number of miles, m, they drove ok the second day. What equation could francesca use?

The **equation **that Francesca could use will be T = 238 + 55. And the number of miles on the **second day **will be 293 **miles**.

**Algebra **is the study of abstract symbols, while logic is the **manipulation **of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This **approach **is used to answer the problem **correctly **and completely.

Francesca and her family made a trip out of state to see relatives. On a **primary **day, they traveled 238 miles. On the **second **day, they traveled 55 **additional miles **than the principal day.

Let 'T' be the **travel miles **in a day. Then the equation is given as,

T = 238 + 55

T = 293 miles

The **equation **that Francesca could use will be T = 238 + 55. And the number of miles on the **second day **will be 293 **miles**.

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Use the diagram and the Exterior Angle Theorem to solve for y.

Y= ______

Hello there!

**Answer:**

15

**Step-by-step explanation:**

According to Exterior Angle Theorem for ∠С in ∆ ABC:

∠BAC + ∠ABC = ∠ACD

(5y + 3)° + (4y + 8)° = 146°

5y + 3 + 4y + 8 = 146

9y + 11 = 146

9y + 11 - 11 = 146 - 11

9y = 135

y = 15

what is a division problem that has a quotient of 17

**Answer: 85 ÷ 5 = 17**

**Step-by-step explanation: We can simply find whatever division problem that has a quotient of 17 by multiplying 17 by something. So, I chose to do 17 * 5. That equals 85. Now to turn this into a division problem, we just take the product and divide it by a number other than 17 (5 in our case) so, it would look like 85 ÷ 5. That is 17. The way to check is by taking the 17 and multiplying it by the number in the middle (5). We get 85, making this statement true. I hope this helped!**

Select all figures for which at least one cross section is a circle.

1.) cylinder

2.) cone

3.) triangular pyramid

4.) sphere

5.) cube

6.) rectangular pyramid

7.) square pyramid

all answers but the pyramids

**Answer: Cylinder, Cone, and Sphere**

**Step-by-step explanation:**

Which of the following is the discriminant of the quadratic equation 2x² 6x 3 0?

**Answer: **

**The discriminant of a quadratic equation ax² + bx + c = 0, is the value of b² - 4ac.**

**Given the equation 2x² + 6x + 3 = 0, the discriminant is:**

**b² - 4ac = (6)² - 4(2)(3) = 36 - 24 = 12**

**So the discriminant is 12.**

**Step-by-step explanation:**

A local bank is advertising that you can double your money in eight years if you invest with them. Suppose you have $1,000 to invest. What interest rate is the bank offering? Show both compound and simple.

a) The **compound **interest rate is 75%

b) The **simple **interest rate is 12.5%

**What is the interest?**

We know that the interest is the money that accrues to an **investment **that have been made. We know that we can be able to determine the simple **interest **by the use of the formula.

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = Number of times compounded

Then we have;

2(1000) = 1000(1 + r)^8

Where n = 1

2 = (1 + r)^8

0.693 = 8 ln(1 + r)

e^0.693/8= (1 + r)

r = 1 - e^0.693/8

r = 0.75 or 75%

For the simple interest rate;

I = PRT/100

I = A - P

I = 2000 - 1000 = 1000

1000 = 1000 * R * 8/100

R = 1 * 100/8

R = 12.5%

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PLS PLS HELP PLSSSSSSSSSSSSSSSSSSS

Answer:One minute let me find a answer

Step-by-step explanation:

ANSWER: 9.42, 70.65, 80.07

To find volume of the cone:

The equation is V = πr^2h/3

Lets start with h/3. The height is 4m so we divide that by 3 to get 1.33333333333

Next lets square the radius. The radius is 1.5 so 1.5^2 = 2.25

Then we multiply 1.33333333333 by 2.25 to get 3

Then we multiple that by pi, 3 x 3.14 = 9.42

To find volume of the cylinder:

The equation is V = πr^2h

First lets square the radius. 1.5^2 = 2.25

Then lets multiply that by the height. 2.25 x 10 = 22.5

Lastly why multiply it by pi, 22.5 x 3.14 = 70.65

To find the rockets total volume:

Just add the previous volumes

9.42 + 70.65 = 80.07

To find volume of the cone:

The equation is V = πr^2h/3

Lets start with h/3. The height is 4m so we divide that by 3 to get 1.33333333333

Next lets square the radius. The radius is 1.5 so 1.5^2 = 2.25

Then we multiply 1.33333333333 by 2.25 to get 3

Then we multiple that by pi, 3 x 3.14 = 9.42

To find volume of the cylinder:

The equation is V = πr^2h

First lets square the radius. 1.5^2 = 2.25

Then lets multiply that by the height. 2.25 x 10 = 22.5

Lastly why multiply it by pi, 22.5 x 3.14 = 70.65

To find the rockets total volume:

Just add the previous volumes

9.42 + 70.65 = 80.07

Which is the correct first step in solving the inequality –4(2x – 1) > 5 – 3xanswers are?ADistribute–4 to get –8x + 4 > 5 – 3x.BDistribute –4to get –8x – 1 > 5 – 3x.CSubtract2xfrom both sides of the inequality.DAdd 1to both sides of the inequality

The correct **first step** in solving the** inequality** –4(2x – 1) > 5 – 3x is option **A:** Distribute –4 to get –8x + 4 > 5 – 3x.

This is because we are trying to solve for x, so we need to get x on one side of the **inequality** and all the other terms on the other side. In order to do this, we need to apply **distributive property** of multiplication over addition, which means we need to multiply the -4 with the 2x-1. By doing this we get -8x + 4 > 5 - 3x. This can help us to move forward in solving the** inequality**. This is the correct first step as it gets us closer to** isolating **the variable x on one side of the** inequality.**

After this step, we can further simplify the **inequality** by adding or subtracting similar terms to get the final solution.

It is important to remember that when solving **inequalities** we need to be careful with the signs, specially when dividing or multiplying by a negative number, as it might change the direction of the** inequality.**

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find the length of the hypotenuse if both legs of the right triangle are 3

**Answer:**

h = 3[tex]\sqrt{2}[/tex]

**Step-by-step explanation:**

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 legs.

let h represent the hypotenuse , then

h² = 3² + 3² = 9 + 9 = 18 ( take square root of both sides )

h = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] ← exact value

or h ≈ 4.24 ( to 2 decimal places )

5

Give the coordinates of the point obtained from each reflection.

(a) Reflect the point (0, 3) across the X-axis:

(b) Reflect the point (0, 3) across the y-axis:

0-D

OD

X

Reflect the **X-axis** at the position (0, 3): ( 0 , - 3 ) , Reverse the y-axis at the position (0, 3): ( 0 , 3 )

In order to determine a point's coordinates in a **coordinate **system, you must do the opposite. Start at the point and move in a vertical line in either an upwards or downwards direction to the x-axis. Here is the x-coordinate for you. Next, repeat the process while following a horizontal line to determine the y-coordinate.

A group of values that exhibit precise positioning On **graphs**, it is typically represented by a pair of numbers: the first number indicates the length along, while the second number indicates the length up or down. The point (12,5), for instance, is 12 units down and 5 units up. a pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane.

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dentify the function shown in this graph

A. y = −x + 3

B. y=-3x-3

C. y = 3x - 3

D. y=-3x+3

**Answer:**

B

**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 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-0}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 3x - 3 ← equation of line

What are solutions 3 properties?

A solution is a **homogeneous** mixture of two or more components in which the size of particle is smaller than 1 nm.

Normal examples of solutions are sugar in water and salt in water **solutions**, soda water, etc. In a solution, all the **components** emerge as a single phase. There is particle similarity i.e., particles are evenly allocated.

This is why a whole bottle of soft drink has the same **flavors** throughout.

Following are the property of solution:

1. It is a homogeneous mixture.

2. Its **particles** are too small and have a diameter of less than 1 nm.

3. Particles do not scatter a beam of light passing through it and so, the path of the light is not visible.

4. Solutes are indissoluble from the mixture and do not **sediment**.

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What is linear equation Class 8 example?

such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

Can triangle be constructed with 2cm 3cm 4.5 cm measurements of sides give reason?

It is possible to **construct a triangle** whose sides are 2 cm 3 cm and 4.5 cm because the sum of two sides are smaller than third sides.

In the given question, we have to check that it is possible to **construct a triangle **whose sides are 2 cm 3 cm and 4.5 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always **greater than** the third side.

To check this we firstly add the 2 and 3

2 + 3 > 4.5

5 > 4.5

Now we add 2 and 4.5

2 + 4.5 > 3

6.5 > 3

Now we add 3 and 4.5

3 + 4.5 > 2

7.5 > 2

It is possible to construct a triangle whose sides are 2 cm 3 cm and 4.5 cm because the sum of two sides are smaller than **third sides**.

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Mr. Eng brought different kinds of fruit drinks to his class picnic.

How many more orange drinks than apple and grape drinks did Mr. Eng bring?

(A) 4

(B) 5

(C) 9

(D) 11

(E) 15

**Answer:**

Simply add apple and grape together you get 10, and orange is 14, so 14 - 10 = 4, answer is a

**Step-by-step explanation:**

what is the slope of the line represented by the equation 10x + 5y=4

**Answer:**

10x

**Step-by-step explanation:**

**Answer: The slop is -2 and the y-intercept is (0,4/5)**

**Step-by-step explanation:**

Here is the graph, I hope this helps, have a great school day! :D

A small farm has sheep and chickens, there are chickens as many as twice the sheep and there are 104 legs. What is the count of chickens?.

**Answer:**

**56 chickens or 112 legs**

What is the exponential of 1?

**Exponential** of 1 is equal to the number itself which means **1.**

**Exponent** is usually described as the method of demonstrating large numbers in terms of **powers**. It means, exponent refers to the count, that how many times a number is multiplied to itself to calculate that exponent.

In accordance with the **exponent rule**, any number raised to power of 1 would always be equal to 1 that is because it doesn't matter how many times we multiply 1 to itself. It is going to yield 1. For example, multiplying 1 hundred times i.e. 1^100 also results in 1.

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A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the

situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.

Amount Used for Payment $50

Change Received

$16.25

An equation that represents this situation is

The customer buys sandwiches.what is an equation that represents this situation? How many sandwiches did the customer buy?

The** equation** that represent the situation is 16.25 = 50 - 6.75x.

The number of **sandwich** bought by the customer is 5.

A roast beef sandwich **costs** $6.75. A customer buys multiple roast beef sandwiches. Let x represent the number of roast beef sandwiches.

Then we will find the how many sandwiches the customer buys when the amount Used for Payment is $50 and change received is $16.25.

Therefore, using **equation**,

16.25 = 50 - 6.75x

where

x = the number of roast beef sandwichesTherefore, let's find the number of sandwich bought using the equation.

16.25 = 50 - 6.75x

16.25 - 50 = - 6.75x

-33.75 = -6.75x

divide both sides by -6.75

x = -33.75 / -6.75

x = 5

Hence,

number o**f roasted beef sandwich** bought = 5

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roberto is building a rainbow for the set of the school play. he draws the sketch shown to find the amount of paint he needs to make the rainbow. he says he needs to buy enough green paint to cover at least 15.7 square feet.

**Answer:**

what is the question

**Step-by-step explanation:**

How much will you pay for a hat that costs $24.99 if tax is 7.5%?

answer 26.8 7.5% of 24.99 is 1.87

**Answer: It would be 29.01**

Use multiplication to find 1/4

If the two fractions are 1/4 and 1/6, then the two **equivalent **fractions are 2/8 and 2/12, respectively.

The **numerator**, which is found at the top of the fraction number, and the denominator, which is found at the bottom of the **fraction **number, are its two constituent parts.

The percentage is= 1/4

In both the denominator and the numerator, multiply it by two= 2/8

A fractional equivalent of 2/8 is 1/4.

Similarly,

For 1/6= 2/12

The fraction 2/12 is equivalent to 1/6.

Therefore, if the two fractions are 1/4 and 1/6, the two equivalent fractions are 2/8 and 2/12, respectively.

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What is fifth formula?

**Answer: It is not clear what you are asking for when you say "fifth formula". There are many formulas in mathematics, and it could be referring to different things in different context.**

**Formulas can be found in different branches of mathematics and science, such as geometry, algebra, physics, chemistry, etc. Can you please provide more context or specify what area of mathematics or science you are interested in?**

**It is important to note that any formula needs to be referenced in order to understand what it represents and how to use it.**

**Step-by-step explanation:**

Match the reasons to the statements. ( 50 POINTS PER PERSON + BRAINLIEST )

[ Please look at the photos below! Must match ALL the statements to the reasons ]

**Answer:**

a) Reflexive Property => 7

b) Angle Congruence Postulate => 8

c) Definition of Supplementary => 4

d) Segment Addition Postulate => 5

e) Definition of Right Angle => 6

f) Symmetric Property => 11

g) Substitution Property of Equality => 2

h) Definition of Complementary => 1

i) Segment Congruence Postulate => 9

j) Angle Addition Postulate => 3

k) Linear Pair Postulate (maybe 10)

**Step-by-step explanation:**

Hope this helps and sorry for taking so long!

A blue whale can weigh up to 400,000 pounds. A standard school bus has a gross weight of 25,000 pounds. How many school buses are equivalent to the weight of a blue whale?

**Answer:**

16 school buses

**Step-by-step explanation:**

400,000/25,000 = 16

25,000*16 = 400,000

At target you will pay $32.00 for 20 packages of travel kleenex, how much will 1 package cost?

A. $2.00

B.$1.60

C.$1.00

D.$2.60

32/20 = x/1

32(1)=20x

32/20=20/20x

1.6=x

B

32(1)=20x

32/20=20/20x

1.6=x

B

At target** **you will pay **$32.00 for 20 packages** of travel Kleenex. The correct answer is **(option B)**

We see here that we have** 32 **and **20** we are going to **divide** those **numbers** to get are answer:

→ 32/20

→ = ?

What does 32/20 equal?→ 32/20

→ = 1.6

→ 1 **package **will cost $1.60.

Therefore, at target** **you will pay **$32.00 for 20 packages** of travel Kleenex. The correct answer is **(option B)**

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Octagon Towers is an octagon-shaped condominium building in Miami, Florida. Assuming the base of Octagon Towers is a regular octagon, find the measure of each interior angle of the base of Octagon Towers.

Each interior angle measures ?

**Answer: The measure of each interior angle of a regular octagon can be found using the formula:**

**(n-2) x 180 / n**

**Where n is the number of sides in the polygon.**

**For Octagon, n=8**

**So we can substitute 8 for n in the formula:**

**(8-2) x 180 / 8 = 6 x 180 / 8**

**Therefore, each interior angle of the base of Octagon Towers measures 135 degrees.**

**Step-by-step explanation:**

6/4+3/6+2/3=????????

These would all add up to 8/3 and 8/3 would be turned into a mixed number which would be 2 2/3

On the first play of a game, the Eagles

26. Brett and Max are diving. Brett is 34 feet

running back lost three yards. On their next

below the surface and Max is 25 feet below

play, the quarterback was sacked for a loss the surface. How many feet above Brett is of fourteen yards. Find the total yards in

Max?

these two plays.

**9 feet** above Brett is Max.

**Surface** in math is a two-dimensional object that can be defined by a set of points in three-dimensional space. It may have a single boundary or multiple boundaries, and can have curved, straight or **irregular edges**. Surfaces can be used to represent physical objects in mathematics, such as a sphere or a torus, and also to represent abstract objects such as a surface of revolution or a Riemann surface.

9 feet above Brett is Max. Since Brett is 34 feet below the surface and Max is 25 feet below the surface,

The difference is 9 feet.

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derive Sinxy = x + 2xy
5 years ago, john was half the age he will be in 8 years. How old is he?
...............
Suppose you are buying apples and bananas. The price of apples is $0.40 each andthe price of bananas is $0.25 each. Which equation models the number of apples andbananas you can buy for $2?a. 40x + 25y = 200b. 40x 25y = 2C. 5x + 8y = 200d. 5x + 8y = 2
One eighth of 4 equals
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7x< 21 Im on khan academy so i need help
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Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long.?
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