If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.
[ Using Factor Theorem ]​

Answers

Answer 1

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x  = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11


Related Questions

Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2

Answers

Answer:

3x=10

Step-by-step explanation:

x=10-3

x=7

i hope this answer will help u

Answer:

4x = 47x+2

Step-by-step explanation:

Using the one–to–one property, you can set x = 7x + 2.

Find the length of AC

Answers

Answer:

B. 9.35

Hope this helps...Have a good day!!

Find the 5th term of each geometric sequence. 32,80, 200

Answers

Answer:

12.8

Step-by-step explanation:

Find the surface area of each figure. Round to the nearest tenth if necessary.​

Answers

Answer:

365.7 km²

hopefully this answer can help you to answer the next question.

The graph shows the function f(x) = 2*
What is the value of x when f(x) = 8?
Ay
10-
A. 3
B. 2
C. 0
D. 1

Answers

Answer:

A

Step-by-step explanation:

Equate f(x) to 8 , that is

[tex]2^{x}[/tex] = 8 = 2³

Since bases on both sides are equal, both 2, then equate exponents

x = 3

The value of the x when the exponential function shown in the graph f(x) = 2ˣ is 8 is when x = 3, which is option A.

Here, given the graph of the function,

f(x) = 2ˣ

We have to find the value of x when f(x) = 8.

In order to find the value of x, when f(x) = 8, we have to write as,

f(x) = 8

2ˣ = 8

Now write 8 as an exponent with base 2.

2ˣ = 2³

Hence the value of x = 3

Learn more about Exponential Functions here :

https://brainly.com/question/9919887

#SPJ7

The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.

Answers

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

factorise [tex]x^{2} - 121[/tex]

Answers

Answer:

(x+11)(x-11)

Step-by-step explanation:

Hello!

We are given the expression x²-121, and we want to factor it

The expression is a difference of squares expression.

The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)

121 is 11 squared, and x² is x squared

So that means that a=x, and b=11 in this case

Now substitute those values into the formula

a²-b²=x²-121=(x+11)(x-11)

Hope this helps!

Answer:

(x-11)(x+11)

Step-by-step explanation:

x^2 -121

x^2 -11^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(x-11)(x+11)

Drag an answer to each box to complete this paragraph proof. can u tell me what is this for

Answers

Answer: its for an assignment

Step-by-step explanation:

find the values of the sine,cosine and tangent of the following angles.
a.153°
b.204°
c.320°​

Answers

Answer:

a)sin153°=0.454

cos153°=   -0.891

tan153°=   -0.510

b)sin 204°=  -0.407

cos204°=    -0.914

tan204° =   0.445

c)sin320°=   -0.643

cos320° =  0.766

tan320°=  -0.839

Step-by-step explanation:

solve for F ------- 2/3 + f = 1/5
A= 13/15
B= 7/15
C= - !3/15
D= - 7/15

Answers

[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]

Answer:

D. -7/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

f+ 2/3-2/3= 1/5-2/3

Step 2: Subtract 2/3 from both sides.

f= -7/15

6 ^ 2 equals to 6 ^ 10​

Answers

No it doesn’t man 6^2 is 36 and 6^10 is 60466176.

Geometry, please answer question ASAP

Answers

Answer:

144.5 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where the b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 9.7+24.3) * 8.5

  = 1/2 ( 34)*8.5

   =144.5

multiply the monomials :
a) a³ , -6 a² b and 2 b³
b) 16 x⁶ , -10 xy² and 3/5 x² y²
c) -4 p² q² and 3/8 pq²

Answers

here we want to multiply different monomials, the particular important thing about this problem is learning how to simplify these multiplications.

Here we need to remember the property:

[tex]a^n*a^m = a^{n + m}[/tex]

Now we want to directly multiply the monomials:

a) a³ , -6 a² b and 2 b³

Here we just have:

[tex]a^3*(-6*a^2*b)*(2*b^3)[/tex]

Let's reorder that, so we can separate the variables and the coefficients, so then we can use the above property to solve this:

[tex]a^3*(-6*a^2*b)*(2*b^3) = (-6*2)*(a^3*a^2)*(b*b^3) = -12*a^5*b^4[/tex]

b) 16 x⁶ , -10 xy² and 3/5 x² y²

Like before, we want to simplify:

[tex](16*x^6)*(-10*x*y^2)*(\frac{3}{5}*x^2*y^2)[/tex]

Again, reordering that we get:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2)[/tex]

Now solving each parenthesis:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2) = -96*x^{6 +1 + 2}*y^{2 + 2}[/tex]

Simplifying the last expression we get:

[tex]-96*x^{6 +1 + 2}*y^{2 + 2} = -96*x^9*y^4[/tex]

c)  -4 p² q² and 3/8 pq²

Here we want to simplify:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2)[/tex]

Using the same approach as before, we will get:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2) = (-4*\frac{3}{8})*(p^2*p)*(q^2*q^2) = \frac{-3}{2}*p^3*q^4[/tex]

If you want to learn more, you can read:

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Instructions: Find the missing side. Round your answer to the nearest tenth.
х
28°
25

Answers

Ans : 22

if my ans wrong im srry

Answer:

25 +28+x=180

53+x=180

x=180_53

x=127


Yesenia drove 45.3 miles on Monday and 3.8
miles more on Tuesday. How many miles did she
drive in all?

Answers

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

Select the correct answer from each drop-down menu.
The table shows certain values of a cubic function.

Answers

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

If sec^2 teta (1+sin teta) (1-sin teta) = k, find k

Pls help no spamming

Answers

Identities to be used :-

[tex]\boxed{\sf 1-sin^2\theta=cos^2theta}[/tex]

[tex]\boxed{\sf cos^2\theta=\dfrac{1}{sec^2\theta}}[/tex]

Solution:-

Let's do

[tex]\\ \sf\longmapsto k=sec^2\theta(1+sin\theta)(1-sin\theta)[/tex]

[tex]\\ \sf\longmapsto k=sec^2\theta(1-sin^2\theta)[/tex]

[tex]\\ \sf\longmapsto k= sec^2\theta(cos^2\theta)[/tex]

[tex]\\ \sf\longmapsto k=sec^2\theta\times \dfrac{1}{sec^2\theta}[/tex]

[tex]\\ \sf\longmapsto k=1[/tex]

[tex]\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

[tex] \sec^{2} θ(1 + \sinθ)(1 - \sinθ) = k[/tex]

[tex] \sec^{2} θ \: (1 - { \sin}^{2} θ) = k[/tex]

[tex] { \sec }^{2} θ \cos^{2} θ = k[/tex]

[tex] \sec ^{2} θ. \frac{1}{ {sec}^{2}θ } = k[/tex]

[tex]1 = k[/tex]

Therefore:

[tex] \color{red}k = 1[/tex]

Find the value of x to the nearest tenth.

Answers

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Find the measure of the missing angle.
156°
a =

Answers

Answer:

Below!

Step-by-step explanation:

A straight line = 180 degrees, so all you need to do to find angle a is to subtract 156 from 180!

180 - 156 = 24 degrees

Hope this helped!

What is the domain of g(x)
X is a real number

Answers

Answer:

The doing would be x

Step-by-step explanation:

since you are calculating domain for a specific value it would be the corresponding g(x) value which is the domain

What is the price after taking 25% off $62?​

Answers

Answer:

46.5 DOLLARS WILL BE YOUR ANSWER .

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

What is the HCF for 20 40 35

Answers

Answer:

5

Step-by-step explanation:

Prime factorize 20 , 40 , 35

20 = 2 * 2 * 5

40 = 2 * 2 * 2 * 5

35 = 5 * 7

HCF = 5  

HCF is the common factor found in 20 , 40 and 35  

Answer:

Below

Step-by-step explanation:

The HCF or GCF of these number would be 5!

5 x 4 = 20

5 x 8 = 40

5 x 7 = 35

Hope this helps!

Help me solve for t please

Answers

Look at the answer down here please

Answer:

[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]

Step-by-step explanation:

[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]

C. Write an equation for the situation.

2. The equation y = 7x gives the cost y of x pounds of chicken at the grocery store. Complete the table for the given weights of chicken ​

Answers

Equation representing the relation between the cost and the weight of the chicken has been given as,

y = 7x

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

Learn more about the proportional relation,

https://brainly.com/question/11903729

PLS TELL ME HOW TO FIND THIS ANGLE

Answers

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70

Solve, using the substitution method.

y = 3x + 5
4x – y = 5


10, 35)



(15, 10)



There are an infinite number of solutions.



There is no solution.

Answers

Answer:

the answer is (10,35)

Step-by-step explanation:

i took the quiz and im 100% sure

ty have a great day :)

Let 0° < a < 90°
Given: cos a=7/25
Find: sin a and cot a

Answers

The solutions are:

sin(a)  = 24/25

tan(a) = 24/7

For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.

Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.

So we have:

x = adjacent cathetus

y = opposite cathetus

h = hypotenuse = √(x^2 + y^2)

Then the trigonometric relations become:

cos(a) = x/√(x^2 + y^2)

sin(a) = y/√(x^2 + y^2)

tan(a) = y/x

Now, we know that we have:

cos(a) = 7/25

then we can see that:

x = 7

and

h = 25 = √(7^2 + y^2)

We can solve the above equation for y:

25 = √(7^2 + y^2)

25 = √(49 + y^2)

25^2 = 49 + y^2

625 - 49 = y^2

√576 = y = 24

Then we have:

x = 7

y = 24

h = 25

Now we can return to our known trigonometric relations and get:

sin(a) = y/√(x^2 + y^2) = 24/25

tan(a) = y/x = 24/7

If you want to learn more about trigonometry, you can read:

https://brainly.com/question/14746686

A body recieves impluse of 24Ns and 35Ns inclined 55° to each other.Calculate the total impulse​

Answers

Answer:

Se determina mediante al auxilio del cálculo integral.

Supongamos una fuerza variable con el tiempo. Entonces el impulso es:

J = ∫F(t) dt, para t entre t y to

Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.

Step-by-step explanation:

could I have some help, please! Thank you so much

Answers

Answer:

a.125.89..............

what is the area of the figure below?

Answers

Answer:

15x^9

Step-by-step explanation:

A=l x w

5x^4 times 3x^5 is basically 3*5*x^4*x^5

when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9

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