Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?

Answer:

72 i think.

Step-by-step explanation:

Answer:

y > 1/3x - 5/3

x-3y < 5

Step-by-step explanation:

We simplify x-3y=5, to y = 1/3x - 5/3

We notice the boundary line is dotted, we know the inequality must be < or > rather than ≤ or ≥.

The shading is above the line which indicates that in y-intercept form we must use >.

y > 1/3x - 5/3

or x-3y < 5

Either of these show the exact same thing.

Answer:270

Step-by-step explanation:180/2=90

90*3=270

Hope this helps :)

Answer:

270

Step-by-step explanation:

You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270

Matt travelled on a bike and cover a distance of 60 miles . If he had gone 6mph faster, he would have arrived 5 hours. Therefore, the actual rate  is 6 mph.

Rate is the ratio between two related quantities in different units.

He went on a bike ride of 60 miles.

He realized if he had gone 6 miles per hour he would have arrived 5 hours earlier.

The speed he actually ride can be calculated as follows:

let

x = speed he actually ride

y = time he arrived

Therefore,

speed = distance / time

x = 60 / y

On, the other hand his permutation is as follows:

x + 6 = 60 / y - 5

(x + 6)(y - 5) = 60

since, x = 60 / y we can substitute it in the equation

(60 / y + 6)(y - 5) = 60

60 - 300 / y + 6y - 30 = 60

- 300 / y + 6y = 60 - 30

- 300 / y + 6y = 30

6y² - 300 = 30y

6y² - 30y - 300 = 0

y² - 5y - 50 = 0

y² + 5y - 10y - 50 = 0

y(y + 5) -10(y + 5) = 0

(y - 10)(y + 5) = 0

y = 10 or -5

we cannot use negative values.

Therefore,

y = 10

x = 60 / y = 60 / 10 = 6 miles per hour

He actually rode 6 miles per hour.

If he went 6 mph faster that would be 6+6 = 12 mph

If he arrived 5 hrs sooner that would be 10 - 5 = 5 hrs

learn more rate here: https://brainly.com/question/14040951

Most common is 7

So

Use distributive law to verify

Verified

GCF is 7

Answer:

$80

Step-by-step explanation

(chart)

             10%         -$10

$140   $126         $130  

$120    $108        $110

$100    $90          $90

$80      $72           $70  

Answer:A

Step-by-step explanation: She will still care for people but spend lesser years qualifying

Answer: NURSE

Step-by-step explanation:

Answer:

x = 1/4

Step-by-step explanation:

To solve, we need to find the constant of proportionality (k) which is defined by the equation:

yx = k

[tex](68)(1/17) = k\\k = 4[/tex]

Therefore when y= 16,

[tex]16x = 4\\x= \frac{1}{4}[/tex]

When y varies inversely with x that means mathematically

  [tex]y = \frac{k}{x}[/tex]

We know for one, that when y = 68 and x = 1/17, that means

  [tex]68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4[/tex]

Therefore we get the equation of the relationship between y and x as

  ⇒ [tex]y = \frac{4}{x}[/tex]

So when y = 16, then

 [tex]16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}[/tex]

Thus the value of x when y = 16 is 1/4 or the third choice.

Hope that helps!

Answer:

500,000,000,000 + 800,000,000 + 2,000,000 + 9,000 + 600 + 10 + 2

Step-by-step explanation:

To write a standard form number into an expanded form, we must look at the amount of numbers at each 'place' in the number.

Hundred-Billions --> 5            Hundred-Thousands --> 0

Ten-Billions --> 0                     Ten-Thousands --> 0

Billions --> 0                             Thousands --> 9

Hundred Millions --> 8             Hundreds --> 6

Ten Millions --> 0                      Tens --> 1

Millions --> 2                              Ones --> 2

Answer: five hundred billion eight hundred two million nine thousand six hundred twelve.  

Step-by-step explanation:

500,000,000,000=five hundred billion

800,000,000=eight hundred million

2,000,000=two million

9,000=nine thousand

600=six hundred

10=ten

2=two

Answer:

[tex] \frac{1}{20} [/tex]

or 5%

Step-by-step explanation:

Explanation:

3/4=15/20

1/5=4/20

So, rest of 'em 1/20

Answer:

1/20.

Step-by-step explanation:

1 - 3/4 - 1/5

= 20/20  - 15/20 - 4/20

= 1/20

Answer:

0.04

Step-by-step explanation:

Have a nice day!

Simply just take 4 divided by 100 -> 4 : 100 = 0.04

Answer:

x=4

Step-by-step explanation:

20x-5x=65-5

15x=60

x=60/15

x=4

Answer:

Step-by-step explanation:

In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.

Solution :

[tex] \longmapsto \: 20x + 5 = 5x +65[/tex]

Step 1 : Subtracting 5 on both sides :

[tex] \longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}[/tex]

On further calculations, we get :

[tex] \longmapsto \: 20x = 5x + 60[/tex]

Step 2 : Subtracting 60 on both sides :

[tex] \longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}[/tex]

On further calculations, we get :

[tex] \longmapsto \:20x - 60 = 5x[/tex]

Step 3 : Transposing 5x to left hand side and -60 to right hand side :

[tex] \longmapsto \:20x - 5x = 60[/tex]

On further calculations , we get :

[tex] \longmapsto \:15x = 60[/tex]

Step 4 : Divide by 15 on both sides :

[tex] \longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ \frac{60}{15} }[/tex]

On further calculations, we get :

[tex] \longmapsto \: \red{ \boxed{x = 4}}[/tex]

Now, we are verifying our answer by substituting value of x in given equation :

Therefore , our answer is correct

Answer:

a. 1710 b. 71.25

Step-by-step explanation:

the formula for simple interest is i=prt

2(9500)(0.09)= 1710

to find the monthly payment, divide by the number of months.

1710/24=71.25

Answer:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

Answer:

Step-by-step explanation:

The domain is the set of x-values in the ordered pairs.

So it is {0, 2, 5}

Yes it is a function as for each x value there is  1 y-value  (its a one-to-one function)

Answer:

i³ = -i

Step-by-step explanation:

i³ can be rewritten as i² · i

i² = -1

-1 · i = -i

Hope this helps!

Answer :-

Step-by-step explanation:

Given :-

To Find :-

Solution :-

According to question,

↠ (x)(x + 2) = 528

↠ x² + 2x = 528

↠ x² + 2x - 528 = 0

↠ x² + 24x - 22x - 528 = 0

↠ x(x + 24) - 22 (x + 24) = 0

↠ (x + 24) (x - 22) = 0

↠ x = -24 or 22

Hence,

Value of two integers are 22 and 24

Step-by-step explanation:

It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.

Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\[/tex]

Subtracting both sides by 528 we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\[/tex]

We have to find two numbers such that,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\[/tex]

The two numbers are 24 and 22. So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ [/tex]

[tex] \: [/tex]

So, The first consecutive even integer is 22.

Now,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ [/tex]

Therefore,

Answer:

I think the answer is 6/40

Step-by-step explanation:

Answer:

Factoring: [tex]x = -\frac{1}{5}, -3[/tex]

Step-by-step explanation:

A) You can factor the expression [tex]5x^2 + 16x + 3[/tex] into [tex](5x+1)(x+3)[/tex].

5x + 1 = 0 and x + 3 = 0

[tex]x = -\frac{1}{5}, -3[/tex]

B) I would use factoring because you can factor this expression, and you don't have to use completing the square

Answer:

(3−5)(+1)

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Answer:

The answer is ( p + 1 ) ( 3p - 5 )

Step-by-step explanation:

Answer:

10: 12 units^2 11: 33 units^2

Step-by-step explanation:

10:

Divide into square and 2 triangles (for simplicity)

square=9

one triangle=3/2

both triangles combined=3

9+3=12

11:

divide into 2 triangles

top triangle: height= 4, base=6

bottom triangle: height= 7, base=6

top=12

bottom=21

Add, 33.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\frac{x}{a}= \frac{y}{b} =\frac{z}{c}[/tex]

[tex]Let \: \frac{x}{a}= \frac{y}{b} =\frac{z}{c}=m[/tex]

(where m is any constant)

[tex]\implies[/tex]

[tex]\frac{x}{a}=m\implies x =am[/tex]

[tex]\frac{y}{b}=m\implies y =bm[/tex]

[tex]\frac{z}{c}=m\implies z =cm[/tex]

To Prove:

[tex]\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}=2[/tex]

LHS [tex]=\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}[/tex]

(Plug the values of x, y and z in the form of am, bm and cm respectively in the LHS)

[tex]=\frac{a(am)-b(bm)}{(a+b)(am-bm)}+\frac{b(bm)-c(cm)}{(b+c)(bm-cm)}[/tex]

[tex]=\frac{a^2m-b^2m}{(a+b)m(a-b)}+\frac{b^2m-c^2m}{(b+c)m(b-c)}[/tex]

[tex]=\frac{m(a^2-b^2)}{m(a+b)(a-b)}+\frac{m(b^2-c^2)}{m(b+c)(b-c)}[/tex]

[tex]=\frac{\cancel{m(a^2-b^2)}}{\cancel{m(a^2-b^2)}}+\frac{\cancel{m(b^2-c^2)}}{\cancel{m(b^2-c^2)}}[/tex]

= 1 + 1

= 2

= RHS

[tex]\implies \purple{\bold{\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}}}=\red{\bold{2}}[/tex]

Thus proved

Step-by-step explanation:

Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.

This means that triangle VWX is similar to triangle YZX.

So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.

120/8 = 15 = WX / 6.

So the width is 90 m.

The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds

The function is given as:

h(t) = -16t^2 + 75

Next, we plot the graph of the function h(t)

From the graph of the function h(t) (see attachment), we have the following highlight:

t = -2.165 and t = 2.165 when h(t) = 0

Time cannot be negative.

So, we have:

t = 2.165

This means that the stick hits the ground at about 2.165 seconds

Read more about quadratic functions at:

https://brainly.com/question/8649555

Answer:

[tex]u^{2n+1}[/tex]

Step-by-step explanation:

Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].

Answer:

[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]

Step-by-step explanation:

This equation can be solved simply by multiplying by the variable to isolate them on one side.

[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]

[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]

Solve.

[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]

Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].

Answer:

0.8 meters

Step-by-step explanation:

1 decimeter is 0.1 meters

so,

[tex]\frac{1}{0.1} = \frac{8}{x}\\x = 8*0.1\\x = 0.8[/tex]

Answer:

Step-by-step explanation:

x is the adjacent side of 30°

Hypotenuse = 22

[tex]Cos \ 30^ \circ = \dfrac{adjacent \ side}{hypotenuse}\\\\\\0.866 = \dfrac{x}{22}\\\\\\0.866*22 = x\\[/tex]

x = 19.1

Answer:

cosθ=Adjacent/ hypotenuse

[tex] \cos(30) = \frac{x}{22} \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \\ 2x = 22 \sqrt{3} \\ \\ x = \frac{22 \sqrt{3} }{2} \\ \\ x = 11 \sqrt{3} = 19.05 = 19.1[/tex]