Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.

Answer:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Step-by-step explanation:

Given

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Required

The equivalent expression

We have:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Open bracket

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]

Collect like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]

Evaluate like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Answer:

Aaron has no nickels

Step-by-step explanation:

eg

Answer:

15/10 and 21/14

Step-by-step explanation:

Simplify:

9/5 and 19/10

Simplified; not proportional.

Simplify:

4/6 and 10/16

2/3 and 5/8

Simplified; not proportional.

Simplify:

25/35 and 20/24

5/7 and 5/6

Simplified; not proportional.

Simplify:

15/10 and 21/14

3/2 and 3/2

Simplified; proportional.

Answer:

[tex]1\frac{4}{11}[/tex]

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \frac{15}{11} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺[tex] \frac{10}{11} \div \frac{2}{3} [/tex]

➺[tex] \: \frac{10}{11} \times \frac{3}{2} [/tex]

➺[tex] \: \frac{10 \times 3}{11 \times 2} [/tex]

➺[tex] \: \frac{30}{22} [/tex]

➺[tex] \: \frac{15}{11} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer: if its decimal and it wants you to round to next place to the tenths place

Step-by-step explanation: if it means to look at the hundredth's place to find your answer  if its bigger than five your second number will add up if its lower than five it stays the same

Answer:

I think you mean the equation is

[tex]2 {x}^{2} - 2x - 1 = 0[/tex]

And you must find

[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]

Answer:

2/3 mi

Step-by-step explanation:

Multiply the length of one side of a square by 4 to find the perimeter.

(1/6)(4) = 4/6

Simplify. The common factor is 2.

4/6 = 2/3

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

Answer:

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles should be equal.

2). Corresponding sides of two triangles should be proportional.

By applying second property in the given triangles RTY and CVB,

[tex]\frac{CV}{RT}=\frac{TY}{VB}=\frac{CB}{RY}[/tex]

[tex]\frac{15}{10}= \frac{9}{6}= \frac{CB}{RY}[/tex]

[tex]1.5= 1.5= \frac{CB}{RY}[/tex]

Ratio of sides CB and RY should be 1.5 for the similarity of two triangles.

Therefore, additional information required for the similarity of two triangles is "the measure of third sides of both the triangles should be known"

Answer:

7 1/4 cookies per minute

Step-by-step explanation:

29/4 = 7 1/4

Answer:

7.25

Step-by-step explanation:

29/4

Answer:

top line third option with shaded above.

Step-by-step explanation:

it's the third option because it's a

dotted line because it's not included (since it doesn't say greater than or equal to). Also, greater than is shaded above the line.

The third graph is the correct representation of the given inequality.

Linear inequalities are defined as a mathematical expression that compares two expressions using the inequality symbol.

The given inequality is 2y > x-2.

i.e y > (x-2)/2

Since the inequality sign does not contain an equals sign,  the line is drawn as a dashed line.

The upper region satisfies the inequality.

Hence, the upper shaded portion with the dashed line is the correct graph for the given inequality.

To learn more about linear inequality, use the link given below:

https://brainly.com/question/11897796

#SPJ2

Answer:

68%

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

calculate the two deposits add them and take them away from the total. find the percentage of the remaining.

Answer:

1/21

Step-by-step explanation:

1/3 / 7 = 1/3 / 7/1 = 1/3 * 1/7 = 1/21

Answer:

21

Step-by-step explanation:

1/3 x 7/1 you flip the 7 and you will have 1/3x1/7 and then u 7x3 and u will get 21

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

Problem 17

Focus on one of the triangles. It has legs of 8 and 15. Use the pythagorean theorem to find the hypotenuse is 17.

Basically you're solving for c in a^2+b^2 = c^2. Use a = 8 and b = 15.

The diameter is 17 and the circumference is

C = pi*d = pi*17 = 17pi

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

Problem 18

This figure has four faces, so this is a tetrahedron. The "tetra" is greek that translates to "four".

Another possible name for this figure is triangular pyramid because we have a pyramid with a triangular base.

Answer:

(x-20) (x+3)

Step-by-step explanation:

x^2 - 17x - 60

What two numbers multiply to -60 and add to -17

-20 * 3 = -60

-20 +3 = -17

(x-20) (x+3)

Answer:

option A is correct

Step-by-step explanation:

x^2 - 17 - 60

using middle term break method

x^2 - (20 - 3)x - 60

x^2 - 20x + 3x - 60

x(x - 20) + 3(x - 20)

(x + 3)(x - 20)

Answer: $31.00

Step-by-step explanation:

The cost of the items bought will be:

2 packages of chicken priced at $13.26 per package = 2 × $13.26 = $26.52

1/2 pound of broccoli priced at $ 1.88 per pound = 1/2 × $1.88 = $0.94

1 gallon of milk priced at $3.49 per gallons = 1 × $3.49 = $3.49

Since Susan pays for the items and receives $ 0.05 in change, the the amount of money that Susan use to pay for the items will be:

= $26.52 + $0.94 + $3.49 + $0.05

= $31.00

The amount Susan uses in paying is $31.00.

Answer:

1. TRUE

2. TRUE

3. TRUE

4. TRUE

5. FALSE

6. TRUE

Step-by-step explanation:

1. From the diagram, we have that m∠2 and m∠7 are alternate interior angles

If m∠2 = 70° and m∠7 = 70°, then we have;

m∠2 = 70° = m∠7

m∠2 = m∠7

Therefore, the alternate interior angles of the lines l₁, and l₂ are equal, and therefore, the lines l₁ and l₂ are parallel, l₁ ║ l₂

TRUE

2. If m∠3 = 90° and m∠7 = 90°, therefore, the angle formed by the intersection of l₃ and l₂ = 90°

Therefore l₃ ⊥ l₂

TRUE

3. m∠5 and m∠7 are corresponding angles

If m∠5 = 85° and m∠7 = 85°, then, m∠5 = m∠7

Therefore, the corresponding angles formed by the lines l₁ and l₂ are equal, therefore;

l₁ ║ l₂

TRUE

4. Whereby we have, m∠1 = m∠5, we get;

m∠1 + m∠5 = 180° by sum of angles on a straight line

∴ m∠1 + m∠5 = m∠1 + m∠1 = 2·m∠1 = 180°

m∠1 = 180°/2 = 90°

∴ m∠1 = 90° = m∠5, and l₃ ⊥ l₁

TRUE

5. m∠1 and m∠8 are alternate exterior angles

If m∠1 = 98° and m∠8 = 82°

∴ m∠1 ≠ m∠8 and l₁ ∦ l₈

FALSE

6. Given that l₁║ l₂, then the angle formed between l₁ and l₃ will be equal to th angle formed between l₂ and l₃

Therefore;

If l₁║ l₂, and l₃ ⊥ l₁, then l₃ ⊥ l₂

(If l₁║ l₂, and l₃ is perpendicular to l₁, then l₃ is also perpendicular to l₂)

TRUE

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

[tex]x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}[/tex]

Formulas:

y=x-2

y=-1x+6

You'll basically just graph these which you said you can do, and if you don't want to, just input these formulas in Desmos Graphing Calculator, and the point that they intersect is your answer for the point of intersection

Answer:

3lbs 9 ounces

Step-by-step explanation:

16 ounces in a pound

9514 1404 393

Answer:

  3 lb 9 oz

Step-by-step explanation:

Sometimes, addition is easier than subtraction when it comes to finding the difference.

There are 16 ounces in a pound.

  8 lb 11 oz + 5 oz = 9 lb

  9 lb + 3 lb 4 oz = 12 lb 4 oz

To get from 8 lb 11 oz to 12 lb 4 oz, we have added ...

  5 oz + 3 lb 4 oz

  = 3 lb 9 oz . . . . weight of packing materials

__

Or, you can do the subtraction in the usual way.

  total weight = gift weight + packing weight

  packing weight = total weight - gift weight

  = (12 lb 4 oz) - (8 lb 11 oz)

  = (12 lb -8 lb) + (4 oz -11 oz)

  = 4 lb - 7 oz

  packing weight = 3 lb 9 oz

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

[tex]2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8[/tex]

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

[tex]2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12[/tex]

When y is 0 x is 12 giving us the coordinate (12, 0)

Step-by-step explanation:

Begin by solving for y

3y = -2x + 24 divide by 3

y =-(2/3)x + 24

Choose x so that it is divisible by 3

Let x = 6 which 3 can divide into evenly

y = -(2/3)*6 + 24 3 into 6 is 2 so you are left with

y = - 2 * 2 + 24

y = - 4 +24

y = 20

By a similar mthed, let x = 15

y = -2/3 x + 24

y = -2/3 * 15 +24

y = -2 * 5 + 24

y = -10 + 24

y = 14

So your two solutions are

(6,20)

(15,14)

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

Answer:

JL = 7

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL? ​

From the diagram given in tbe question,

JK + KL = JL

4 + 3x = 7x

Collect like terms

4 = 7x - 3x

4 = 4x

4x = 4

x = 4/4

x = 1

Since JL from the diagram = 7x

Hence:

7 × 1 = 7

JL = 7

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

C = 40n + 210

Where C is the cost of a phone plan for n number of months.

After 2 months; C = 40(2) + 210 = 290

After 12 months; C = 40(12) + 210 = 690

After 24 months; C = 40(24) + 210 = 1170

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

if I'm not wrong it should be A

Answer: D. P, Q and R.

Step-by-step explanation:

The vertices of the triangle PQR - it is P, Q and R.