find the zero of the following function: f(×)=(×-1)/(×-3)​

Answer:

x = 1/5 ,  and   x = - 1/5

Step-by-step explanation:

25x² – 1 = 0

5²x² - 1² = 0

(5x - 1)(5x + 1) = 0

5x -1 = 0,  5x + 1 = 0

x = 1/5 ,     x = - 1/5

Answer:

B (1)

Step-by-step explanation:

Answer:

3x^2(3+x)

Step-by-step explanation:

Answer: 3x^2(3+1)

Because it is divisible by 3 and x^2

Answer:

first one is the right one

Step-by-step explanation:

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

0.20833333333 or 5/24

Step-by-step explanation:

Hope this helps UwU <33

Answer:

-5/24

Step-by-step explanation:

-5/3×(-1/8)

= -5/24

Answer: D) -4/3

Step-by-step explanation:

Slop can be represented as [tex]\frac{rise}{run}[/tex].  This equation rises -24 units then runs 18.  Thus, the slope is -24/18, or -4/3.

Hope it helps <3

Answer:

-4/3.

Step-by-step explanation:

To get the slope, you do the rise over the run.

In this case, the rise is going to be -24, since the track is falling. The run will be 18.

-24 / 18 = -12 / 9 = -4/3

Hope this helps!

Given :   E=3, B=7 AND A=4  BASE +  BALL = GAMES

To find :   Other Digits  S , L G M

Solution:

 BASE

 BALL

GAMES

  74S3

  74LL

G 4M3S

if L = 0  then S = 3  but E = 3 ( hence not possible)

=> only possible solution

 3 + L = S

 & S + L  = 13

=> S + S - 3 = 13

=> S = 8

=> L = 5

  7483

  7455

 14938

L = 5

S = 8

M = 9

G = 1

ii) When a polynomial f(x) is divided by (x-1) and (x+2) it leaves remainder 5 and 17 respectively. find the remainder when f(x) is divided by (x-1) (x+2)

14) The remainder when the expression  ax³ + bx² + 2x + c is divided by x-1

is twice of that when it is divided by  x + 1. Show that c = 3a - b + 6.

Answer:

ii) R(x) = -4x + 9

14) c = 3a - b + 6 ( Proved)

Step-by-step explanation:

14) The correct expression is [tex]ax^3 + bx^2 + 2x + c[/tex]

To get the remainder when the expression  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by

x - 1, let x - 1 = 0; x = 1

Remainder:

[tex]R_1(x) = a(1)^3 + b(1)^2 + 2(1) + c\\R_1(x) = a + b + 2 + c[/tex]

When  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by x + 1

Let x + 1 = 0; x = -1

Remainder:

[tex]R_2(x) = a(-1)^3 + b(-1)^2 + 2(-1) + c\\R_1(x) = -a + b - 2 + c[/tex]

According to the question, R₁(x) = 2R₂(x)

a + b + 2 + c = 2(-a + b - 2 + c)

a + 2a +b - 2b + 2 + 4 = 2c - c

c = 3a - b + 6 ( Proved)

ii)

The dividend is f(x)

(x - 1)(x + 2) is the divisor, i.e. D(x) = (x - 1)(x + 2)

Let the quotient = A(x)

Let the Remainder, R(x) = ax + b..............(1)

Therefore, f(x)  = A(x)D(x) + R(x)

f(x) = A(x)(x - 1)(x + 2) + R(x)...................(2)

When f(x) is divided by x - 1, x = 1

Put x = 1 into equation (2) knowing that R(1) = 5

f(1) = R(1) = 5

R(1) = a(1) + b = 5

a + b = 5....................(3)

When f(x) is divided by x + 2, x = -2

Put x = -2 into equation (2) knowing that R(-2) = 17

f(-2) = R(-2) = 17

R(-2) = a(-2) + b = 17

-2a + b = 17..................(4)

Subtracting equation (1) from (2)

-3a = 12

a = -12/3

a = -4

Substitute the value of "a" into equation (4)

-2(-4) + b = 17

8 + b = 17

b = 9

Since R(x) = ax + b

R(x) = -4x + 9

Answer:

A

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given

g(x) = f(x) + 5

Thus the graph of g(x) is the graph of f(x) shifted 5 units up → A

Answer: V+100

Step-by-step explanation: If your trying to get 0 then there is your answer

Answer:

 V-100 = 0 + 10i

so 0 and 10

Step-by-step explanation:

Answer:

The solution ( 12,6) is correct, Lizette's solution

Answer:

[tex]x=12,\:y=6[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\frac{2}{3}x+3y=26\\ 2x+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\frac{2}{3}x+3y=26[/tex]

[tex]\frac{2}{3}x+3y-3y=26-3y[/tex]

[tex]\frac{2}{3}x=26-3y[/tex]

[tex]3\cdot \frac{2}{3}x=3\cdot \:26-3\cdot \:3y[/tex]

[tex]2x=78-9y[/tex]

[tex]\frac{2x}{2}=\frac{78}{2}-\frac{9y}{2}[/tex]

[tex]x=\frac{78-9y}{2}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{78-9y}{2}+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}78-\frac{17}{2}y=27\end{bmatrix}[/tex]

[tex]78-\frac{17}{2}y=27[/tex]

[tex]78-\frac{17}{2}y-78=27-78[/tex]

[tex]-\frac{17}{2}y=-51[/tex]

[tex]2\left(-\frac{17}{2}y\right)=2\left(-51\right)[/tex]

[tex]-17y=-102[/tex]

[tex]\frac{-17y}{-17}=\frac{-102}{-17}[/tex]

[tex]y=6[/tex]

[tex]x=\frac{78-9\cdot \:6}{2}[/tex]

[tex]x=12[/tex]

[tex]x=12,\:y=6[/tex]

Answer:

7x^5+2x^2+6

Step-by-step explanation:

7x^5+2x^2+6

6x^7-x^4+5

6x^5+x^4+7

7x^6-6x^4+5

5th degree polynomial means the the term with highest degree has degree 5.

7x^5+2x^2+6

6x^7-x^4+5

6x^5+x^4+7

7x^6-6x^4+5

Leading coefficient is the coefficient of the term with highest degree.

Constant is the number with no variable.

7x^5+2x^2+6

Answer:

y = -5x + 12

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write given line in slope-intercept form

2y = -2 - 10x

y = -1 - 5x

A parallel line has the same slope but different y-intercept. Therefore, our answer is the 1st Option.

Answer:

A. y = -5x + 12.

Step-by-step explanation:

10x + 2y = -2

2y = -10x - 2

y = -5x - 1

If there is a line parallel to the one listed above, the slope of the second line will be the same as the first.

That means that the line would have a slope of -5.

Since the question asks us to leave the answer in slope-intercept form, we will find an answer that has a slope of -5 in the form of y = mx + b.

Hope this helps!

Answer:

its 1260°.

as by the formulae,

(n-2)×180°

we get,

sum of interior angle =(9-2)×180°

=1260°.....is anwer.

Answer:

108cm[tex]^{3}[/tex]  (B)

Step-by-step explanation:

Find the area of the triangle first.

6 * 4  = 24/2 = 12

Multiply by the width.

12 * 9 = 108

Hey there! :)

Answer:

B. V = 108 cm³.

Step-by-step explanation:

Find the volume of the triangular prism using the formula:

V = 1/2(bh) where b = l × w

Solve for the base:

b = 4 × 9

b = 36 cm²

Plug this into the formula for the volume:

V = 1/2(36 · 6)

V = 1/2(216)

V = 108 cm³. The correct answer is B.

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

----------------------------------------------------

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

Answer:

x=-14 and y = 9

Step-by-step explanation:

hello

4x + 8y = 8 <=>  divide by 4 both parts

(1) x + 2y = 4

(2) x + 3y = 13

(2) - (1) gives

x + 3y -x - 2y = 13 - 4 = 9

<=> y = 9

we replace in (1) x + 2*9 = 4

<=> x = 4 - 18 = -14

so x = -14

hope this helps

→Answer:

[tex]50.3cm^2[/tex]

→Step-by-step explanation:

Well the formula for the area of a circle is [tex]\pi r^2[/tex].

→Given information

Pi is 3.142

radius is 4 cm

answer must be rounded to the nearest tenth

____________________________________________________________

So now we have to plug in the given information into the following formula [tex]\pi r^2[/tex].

(3.142)(4)^2

So now we have to solve this formula using PEMDAS.

So 4 squared is 16 and 16*3.142 is 50.272cm^2.

The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.

__________________I do hope this helps!__________________________

Answer:

[tex]\boxed{Area = 130 units^2}[/tex]

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex]

Where a = 7, b = 19 and h = 10

Area = [tex]\frac{7+19}{2} (10)[/tex]

Area = (26)(5)

Area = 130 units²

Answer:

P = 0.3

Step-by-step explanation:

Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet

When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes

In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved

So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes

From the table that would be; 0.1 + 0.2 = 0.3

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b:  general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b.  Then b must be 8, and the desired equation is

y = 5x + 8

Answer:

22.12feet

Step-by-step explanation:

the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer

Answer:

x≥5

Step-by-step explanation:

The function f(x)=2*sqrt(x-5) is transformed from the parent function f(x)=sqrt(x) by:

vertically stretched by a factor of 2

right 5 units

a parent rational equation has a domain of [0,+∞)

this certain equation is moved 5 units to the right, so the domain is:

[0+5,+∞)⇒[5,+∞)

So the domain of f(x)=2*sqrt(x-5) is [5,+∞)

which as an inequality is x≥5

Answer:

2

Step-by-step explanation:

thanks! i will do it too!

Answer:

35 combinations

Step-by-step explanation:

The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).

If the first digit is 4, there is 1 possibility:

(4, 5, 6)

If the first digit is 3, there are 3 possibilities:

(3, 4, 5) (3, 4, 6) (3, 5, 6)

If the first digit is 2, there are 6 possibilities:

(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)

If the first digit is 1, there are 10 possibilities :

(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)

If the first digit is 0, there are 15 possibilities:

(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)

Therefore, he would need to try at most 35 combinations.

Answer:

2/5x

Step-by-step explanation:

x% of 40= x/100×40

= 40/100x = 2/5x

Answer:

0.4

Step-by-step explanation:

Answer: 0.4

Step-by-step explanation: