Which of the number(s) below are potential roots of the function? q(x) = 6x3 + 19x2 – 15x – 28

Answer:

Equations with one solution: [tex]-2(x-3) = 2x-6[/tex]

Equations with no solution:

[tex]6(x+5) = 6x+11\\5(x-2) = 5x-7[/tex]

Equations with infinite many solutions: [tex]-3(x-4) = -3x+12[/tex]

Step-by-step explanation:

We will solve each equation to see if it has one solution, no solution or infinite many solutions.

An equation where the value of variable can be found has one solution.

An equation with no solution has both sides different.

An equation with infinite solution will have both sides equal after solution(number)

So,

Equation 1:

5(x-2) = 5x-7

[tex]5(x-2) = 5x-7\\5x-10 = 5x-7\\5x-5x = -7+10\\0 = 3[/tex]

As both sides are not equal, equation has no solution.

Equation 2:

[tex]-3(x-4) = -3x+12\\-3x+12 = -3x+12\\-3x+3x = -12+12\\0=0\\[/tex]

As both sides are equal the equation has infinite many solutions.

Equation 3:

[tex]-2(x-3) = 2x-6\\-2x+6 = 2x-6\\-2x-2x = -6-6\\-4x = -12\\\frac{-4x}{-4} = \frac{-12}{-4}\\x = 3[/tex]

As x=3, the equation has only one solution.

Equation 4:

[tex]6(x+5) = 6x+11\\6x+30 = 6x+11\\6x-6x+30 = 11\\30 =11[/tex]

The equation has no solution.

Hence,

Equations with one solution: [tex]-2(x-3) = 2x-6[/tex]

Equations with no solution:

[tex]6(x+5) = 6x+11\\5(x-2) = 5x-7[/tex]

Equations with infinite many solutions: [tex]-3(x-4) = -3x+12[/tex]

Answer:

Step-by-step explanation:

city A

city B

difference between the two cities = $281.25 - $246.713

                                                        = $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.

City                Cost ($)             Tax rate

A                     $250                12.50%  

B                     $215                  14.75%

Then the difference in cost between the two cities for a weekend trip will be given as,

⇒ $250 × 1.1250 - $215 × 1.1475

⇒ $281.25 - $246.71

⇒ $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

More about the percentage link is given below.

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Answer:

Step-by-step explanation:

Step one:

Given data

Force F= 10N

the distance is described by the coordinate =  (0,0) to (15,0)

hence the distance = 15m in the x-direction.

Step two:

Required is the work done

we know that work done is expressed as

Wd= Force* Distance

Wd= 10*15

Wd= 150 Joules

Answer:

38.82

Step-by-step explanation:

See Explanation

Step-by-step explanation:

1. By interior angle sum Postulate of a triangle.

[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\

m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\

m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]

Hence proved

2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.

Therefore, by remote interior angle theorem, we have:

[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\

x + m\angle PQS= 2x\\\\

m\angle PQS= 2x-x\\\\

m\angle PQS = x.... (1)\\\\

m\angle QPS = x.... (given).... (2)\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle PQS = m\angle QPS\\\\

\therefore \angle PQS \cong \angle QPS\\\\

\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]

[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.

Thus proved.

Answer:

loolooloolool

Step-by-step explanation:

Answer:

3x = 40 * 3

40= x

120 juice

40 C

Answer:

D

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

pretty sure

Answer:

x = 55

Step-by-step explanation:

to find angle BPR you would do:

180 - 120 = 60

so BPR is 60°

now to find x you do this:

65 + 60 + x = 180

125 + x = 180

x = 55

Answer:

Hello. y=1/2x-2

Step-by-step explanation:

The line that is perpendicular to this line ،its slope must be 1/2

So:

[tex]y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2[/tex]

Answer:

8.75 feet

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the area and length, and solve for w:

A = lw

140 = 16w

8.75 = w

So, the width is 8.75 feet

Answer:

8.75 ft

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the area and length, and solve for w:

A = lw

140 = 16w

8.75 = w

So, the width is 8.75 feet

Answer:

0.09433962264

Step-by-step explanation:

answer: basketball c;

Answer:

1

Step-by-step explanation:

because it is a linear equation

Answer:

G = [tex]\frac{C(2)}{k}[/tex]

Step-by-step explanation:

C = 1/2gk

First you want to multiple both sides by 2 to get rid of that fraction and you get

C (2) = gk then you divide both sides by k to isolate the g and your left with

G= [tex]\frac{C(2)}{k}[/tex]

Hope this helps

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

Answer:

x = 12 m

Step-by-step explanation:

Length = x m

Width = 3⅔ = 11/3

Area = 44 m²

Area of rectangle = length × width

Plug in the values into the equation

[tex] 44 = x \times \frac{11}{3} [/tex]

[tex] 44 = \frac{11x}{3} [/tex]

Multiply both sides by 3

[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]

[tex] 132 = 11x [/tex]

Divide both sides by 11

[tex] 12 = x [/tex]

x = 12

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

Answer:

No, the first ten perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

Answer:

Step-by-step explanation:

[tex]4y+5-4.2-5y^{2}+z[/tex]

constant terms: 5 and -4.2 equals 0.8

No matching variable terms.

[tex]-5y^{2} + 4y+z+0.8[/tex]

4 total terms

Answer:

6=2(y+2)

distributive property

6=2(y)+2(2)

6=2y+4

-4      -4

2=2y

--   --

2   2

divide two in both sides to get y by itself

y=1

Answer:

y = 1

Step-by-step explanation:

6 = 2 (y + 2)

Distribuite:

2 * y = 2y

2 * 2 = 4

2y + 4 = 6

Use additive inverses. The additive inverse of addition is subtraction.

Subtract 4 from both sides:

2y + 4 - 4 = 6 - 4

6 - 4 = 2

2y ÷ 2 = 2 ÷ 2

2y ÷ 2 = y

2 ÷ 2 = 1

To check our answer we multiply how much y is (which is 1) by 2.

2(1) + 4 = 6

2 * 1 = 2

2 + 4 = 6.

Answer:

Step-by-step explanation:

Answer:

...........................................

Answer:

A= 63.6$

B= 51$

C= 54.6

D= ??? (sorry)

Step-by-step explanation:

hope this helps!

The answers to each part is given below.

In mathematics →

Given is that you buy a watch for $60.

Total cost of watch -

{C} = ${60 + (6% of 60)}

{C} = ${60 + (6/100 x 60)}

{C} = $(60 + 3.6}

{C} = $63.6

New sale price -

{D} = 60 - (15% of 60)

{D} = 60 - (15/100 x 60)

{D} = 60 - 9

{D} = $51

Total cost of watch including tax -

{CT} = 51 + (6% of 51)

{CT} = 51 + 3.06

{CT} = 54.06

Therefore, the answers to each part is given above.

To solve more questions on percentage, visit the link below -

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Answer:

since she subtracted 15 5 time a total of 5 rafts are needed

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2

14^2+48^2=50^2

196+2304=2500

2500=2500

Answer:

A. [tex] \overline{OC} \perp \overline{AB} [/tex]

Step-by-step explanation:

According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.

Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:

[tex] \overline{OC} \perp \overline{AB} [/tex].

This means the radius of the circle is perpendicular to the tangent formed at point C.

Answer:

the full form of math is mathematics

hope it helps

Answer:

full form of mathematics. Explanation: M-miracle of nature. A-art of arithmetic. T-tool of knowledge.

Hope this helps, have a great day/night, and stay safe!

Answer:

A

Step-by-step explanation:.................