What is the factor of 2x³ 3x² 17x 30?

Answers

Answer 1

Therefore, the solution to this problem is  (x - 2)(x + 3) are the factors of p(x) (2x - 5).

Examine the equation.

An equation is a mathematical statement that is created by connecting two expressions using the equivalent sign. An example of an equation is 2x - 5 = 15. By resolving this equation, we may ascertain that the variable x has a value of 5.

Here,

Given, the polynomial in this case is 2x3 - 3x2 - 17x + 30.

It is necessary to factor the polynomial.

Let p(x) equal 2x3, 3x2, 17x, and 30.

P(xconstant )'s term is 30.

Factors of 30 are equal to 1, 2, 3, 5, 6, 10, 15, and 30.

Consider x = 2.

Replace x = 2 in p. (x),

2(2)³ - 3(2)² - 17(2) + 30 =p(2)

=> 2(8) - 34 - 3(4) + 30

= >16 - 16

= 0

So, x - 2 is a factor of 2x³ - 3x² - 17x + 30.

Now splitting the x² and x terms,

2x³ - 4x² + x² - 2x - 15x + 30= 2x³ - 3x² - 17x + 30

=> x(x - 2) - 15(x - 2) +  2x²(x - 2)

= > (x - 2)  *  (2x² + x - 15)

factoring  2[tex]x^{2}[/tex] + x - 15

= 2[tex]x^{2}[/tex] + 6x - 5x - 15

= - 5(x + 3)  +  2x(x + 3)

= (x + 3)(2x - 5)

Therefore, the solution to this problem is  (x - 2)(x + 3) are the factors of p(x) (2x - 5).

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Related Questions

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Part F: 100% of 22.5 = Part G: 10% of 22.5 = Part H: 50% of 45.7 =

Answers

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  [tex]\frac{25}{100} *50[/tex] = [tex]\frac{1}{4}*50[/tex] = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  [tex]\frac{25}{100} *60[/tex] = [tex]\frac{1}{4}*60[/tex] = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  [tex]\frac{50}{100} *60[/tex] = [tex]\frac{1}{2}*60[/tex] = 30

⇒50% of 60 = 30

Part D :

75% of 60 = [tex]\frac{75}{100} *60[/tex] = [tex]\frac{75}{10}*6[/tex] = 45

⇒75% of 60 = 45

Part E :

75% of 30 = [tex]\frac{75}{100} *30[/tex] = [tex]\frac{75}{10}*3[/tex] = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = [tex]\frac{100}{100} *22.5[/tex] = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = [tex]\frac{10}{100} *22.5[/tex] = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  [tex]\frac{50}{100} *45.7[/tex] = [tex]\frac{1}{2}*45.7[/tex] = 22.85

⇒50% of 45.7 = 22.85

Round to the nearest tenth.
7.61577310586

Answers

Answer:

7.6

Step-by-step explanation:

1is less than 5 so let it rest

Please help me I am having a hard time with this activity

Answers

Answer:

Step-by-step explanation:

b.

[tex]\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3[/tex]

d.

[tex]\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}[/tex]

e.

[tex]\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2[/tex]

k.

[tex]\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}[/tex]

Included picture
Question is not hard so please answer correctly

Answers

Answer:

Sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational.

Answer:

sometimes

Step-by-step explanation:

The following examples to illustrate

[tex]\sqrt{2}[/tex] is irrational

[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 ← which is rational

[tex]\sqrt{3}[/tex] is irrational and

[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] ← which is irrational

Result is therefore sometimes

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum​

Answers

Answer:

Step-by-step explanation:

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum​

The formula for Simple Interest = PRT

From above question, we have to find the Principal

The simple interest on a certain sum for 5years at 8% per annum is Rs200

Hence,

R = 8%

T = 5 years

Rs 200 = P × 8% × 5

P = 200/8% × 5

P = Rs500

The principal = Rs 500

The simple interest on the same sum for 3years and 4months at 18% per annum.

Simple Interest = PRT

R = 18%

T = 3 years and 4 months

Converted to years

T = 3 + (4 months/12 months)

T = 3.33 years

Hence,

Simple Interest = Rs 500 × 18% × 3.33 years

= Rs 299.7

Help me please , will mark

Answers

40 percent you were right

Rewrite the expression with a rational (fraction) exponent:

7Vz

PLEASE HELP ASAP

Answers

Answer:

z^1/7

Step-by-step explanation:

trust me

what fraction has the greatest value? ​

Answers

Answer:

5/6

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation: 1 whole would be 6/6 and 5/6 is very close to 1 whole

Find the coordinates of the point for the reflection.
(-8,5) across the x-axis

Answers

Answer:

(-8, -5)

Step-by-step explanation:

If (-8, 5) is reflected across the x-axis, the x-coordinate stays the same (-8), but the y coordinate becomes -5.  Hence the coordinates of the reflection are (-8, -5).

If point (-8, 5) is reflected across the x axis, the new point is (-8, -5)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

If point (-8, 5) is reflected across the x axis, the new point is (-8, -5)

Find out more on transformation at: https://brainly.com/question/4289712

7y+5y-3y= How would I simplify this?

Answers

Answer:

9y

Step-by-step explanation:

Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong


Let's simplify step-by-step.
7
y
+
5
y

3
y
=
7
y
+
5
y
+

3
y
Combine Like Terms:
=
7
y
+
5
y
+

3
y
=
(
7
y
+
5
y
+

3
y
)
=
9
y

Write the equation of this graph.

Answers

it’s has to be (8,1) because it shows there x, and y

If y varies directly with x. and y=10 when x=5.6, find the value of y when
X=3

Answers

Answer: 5.3571

Step-by-step explanation:

The formula used to calculate direct proportion is: y = kx

We will find the constant of proportionality when y=10 and x=5.6. This will be:

y = kx

10 = 5.6k

k = 10/5.6

k = 1.7857143

The value of y when X=3 will be:

y = kx

y = 1.7857143 × 3

y = 5.3571

SOMEONE HELPP PLSS QUICK
In what direction is the line containing the point (3, 3) and (1,3) going?

Answers

Answer:

Horizontal (Braniest pls)

Step-by-step explanation:

Since (3,3) and (1,3) is on the same line, it is moving horizaontally (Braniest pls)

The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
number only)
Help I need big brains for it and I need it fast please help please

Answers

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

The measures of the other seven angles are evaluated as:

[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]

What are supplementary angles?

Two angels whose sum is 180° are called supplementary angles.

When they are added together graphically, they form a straight line.

What are vertical angles?

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. They are of same measurement.

What are corresponding angles?

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

For this case, we have:

Angle 1,2,3 and 4 corresponding to 5,6,7 and 8 angle respectively.  It is because the two lines A and B are parallel and the traversing line intersects both of them. When single line intersect two parallel lines, it makes same corresponding angles on both of the sides. That means

[tex]m\angle 1 = m\angle 5\\m\angle 2 = m\angle 6\\m\angle 3 = m\angle 7\\m\angle 4 = m\angle 8[/tex]

where that small 'm' denotes that we're taking about their measurements.

Thus, we will only find 1,2,3,and angle 4's measurements and rest four would be found.

Since angle 1 and angle 4 are vertical angles, they are same measurement. Since angle 1 is of 65 degrees, thus:

[tex]m\angle 1 = 65^\circ = m\angle 4[/tex]

Now, since angle angle 3 is supplementary to angle 1 and so as angle 2 to angle 4, thus:

[tex]m\angle 2 + m\angle 4 = 180^\circ\\m\angle 2 = 180-m\angle 4= 115^\circ\\\\m\angle 3 + m\angle 1 = 180^\circ\\m\angle 3 = 180-m\angle 1= 115^\circ[/tex]

Thus, we get the measurement of all angles as:

[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]

Learn more about corresponding angles here:

https://brainly.com/question/23134162

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!

Answers

Answer:

I think the answer is 7x+ 6a

Step-by-step explanation:

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)

3 (-6x) + 5 (1a) -2 (6x)

3x + 6a + 4x

= 7x+ 6a answer!

please answer asap!
which inequality matches this graph?

Answers

Answer:

D

Step-by-step explanation:

The point on the Number line is a closed( shaded circle) So it will include a greater than or equal sign.  Since the arrow is pointing right it will be B is greater than/ equal to 135. if the arrow was pointing the opposite way it would be less than or equal to  symbol.

Complete both and will give brainliest

Answers

Answer:

1)12 people voted

2)60mph

Step-by-step explanation:

Answer:

1. 12 members voted because 25% of 48 is 12

2. 60 miles because 420 divided by 7 is 60

Amiera has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last?

Answers

Answer:

Step-by-step explanation:  lets say the fod is chicken 3/4 is 75 out of 100 1/10 out of 100 is 10 lets see how many times we can take 10 out of 75 .

you can do it 7 time because 7 rimes 10 is 70 meaning that you have 7 weeks

and half a week hope this helps B)

Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X

Answers

Answer:

x = 13

Step-by-step explanation:

When we say side AB is congruent to Side AC it means both side are the same.

This is written Mathematically as:

AB = AC

We are asked to find x

angle B = 5x +9 , angle C = 8x-30

5x + 9 = 8x - 30

Collect like terms

9 + 30 = 8x - 5x

8x - 5x = 30 + 9

3x = 39

Divide both sides by 3

x = 39/3

x = 13

 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

Answers

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

We know that,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

Using the trigonometric ratios, we get

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Hence, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Fill in the table using this function rule.
Y = -5x + 1

Answers

Answer:

55 or 53.

Step-by-step explanation:

STOP SCROLLING HELP ME PLSSSSSS!

Answers

Answer:

use proportions??

Step-by-step explanation:

i

d

k

h

o

w

t

o

do

this i am only in 5th grade yikes

The radius of a circle is 5 m. Find its circumference in terms of \piπ.

Answers

Answer:  C≈ 31.42m

C=2πr=2·π·5≈31.41593m

Step-by-step explanation: hope this helps

help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

-2 = 2 + v/4
-2 - 2 = v/4
-4 = v/4
-4•4 = v
v = -16

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

Kosey needs to get 80% of his
questions correct on his math test
to get a B for the quarter. If his
test has 60 questions, how many
questions will he need to get right?

Answers

Answer:

48 questions

Step-by-step explanation:

There are 60 questions on the test

to see how many questions he needs to solve to get 80% we multiply 60 with 80 and divide it by 100

60 x 80 ÷ 100 = 48

Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?

thousands
tens
tenths
thousandths

Answers

It’s the tenths
Hope it’s right
I think the answer is tenth and the reason why is because

Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.

Answers

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

f(x) = -2x^2 + 8x -1 Evaluate f(6)​

Answers

Step-by-step explanation:

f(x) = 2x²+ 8x -1

f(6) = 2(6) + 8(6)-1

= 13 + 48 - 1

= 61-1

= 60.

In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?

Answers

Answer:8/15

Step-by-step explanation:

Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]

Further, the sides can be written as,

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]

Now, the Tan(∠H) can be written as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

Substituting the value for the ∠H in ΔHJG,

[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]

As the ratio is already known, therefore,

[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]

Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Plzzz help me asappp I’m begging you
I don’t know I need help

Answers

Answer:

[B] 9.8 Cubic Feet

Explanation:

Formula: πr²ʰ⁄₃

Radius: 1.9

Height: 2.6

π: 3.14

Formula: V = 1.9²ʰ⁄₃ = 3.14 · 1.9² · 2.6 / 3 = 9.829

Round: 9.8

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