Given a polynomial f(x), if (x − 6) is a factor, what else must be true?

f(0) = −6
f(0) = 6
f(−6) = 0
f(6) = 0

Answers

Answer 1

Answer:

below.

Step-by-step explanation:

f(6) = 0    because (x - 6) ---> (6 - 6) = 0


Related Questions

[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]

Answers

Factor√x²+5x+3+2x²+10x-15=0√x²+2x²+5x+10x+3-15=0√3x²+15x-12=0√3x²+(3(5x)+3×-4=0√3(x²+5x)+3×-4=0√3(x²+5x-4)=0

please mark this answer as brainlist

You can
Figure A to map it onto Figure Din a single transformation."

1.answers
2.rotate
3.reflect
4.translate
5.dilate

Answers

Answer: a

Step-by-step explanation:

which of the following are remote interior angles of 5 ?

Answers

Answer:

The answer is B and C.

Answer: B AND C

Step-by-step explanation:

Remote interior angles are angles that are opposite from the exterior angles (5 in this case).

Write the equation of the graph shown below in factored form.

f(x) = (x − 2)2(x + 1)(x − 4)
f(x) = (x + 2)2(x − 1)(x + 4)
f(x) = (x + 2)2(x + 1)(x + 4)
f(x) = (x − 2)2(x − 1)(x − 4)

Answers

Answer:

(x+2)2(x+1)(x+4)

Because

x=-4. x=2. x=-1

(x+4). (x+2). (x+1)

I need help ASAP!! Please help me

Answers

Answer:

Step-by-step explanation:

Answer:

angle 1 = 80

angle 2 = 80

Step-by-step explanation:

in rhombus all sides are equal and also diagonals bisects each other

so

Please help solve this. 10points worth it

Answers

Answer:

The function is a growth function so I guess A, B and D

suggest a growth curve

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

I suggest getting this app called photo math, it will help you soo much.

Answer:

x = 3

Step-by-step explanation:

4 (x - 1 ) + 4x -1 = 19

solve the brackets first

4x - 4 + 4x -1 = 19

4x + 4x -4 -1 = 19

8x -5 = 19

8x = 19+5

8x = 24

x = 24/8

x = 3

HELPPP

Solve: r = -5 + 19. r =____?
-24
14
-14
24

Answers

Answer:

14

Step-by-step explanation:

19 - 5 = 14

Answer:

r = 15

Step-by-step explanation:

r = -5 + 19

Add 5 to -5 then subtract 5 from 19

r = 15

Express -5/8 as a rational number with -24 as the denominator​

Answers

Answer:

Step-by-step explanation:

Hello!

-5/8 = (-5*-3)/ (8*-3) = 15/-24

Solve for x. Enter your answer using digits. 4x−14+6=12 x=

Answers

Answer:

x = 5

Step-by-step explanation:

Given

4x - 14 + 6 = 12 , that is

4x - 8 = 12 ( add 8 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

4x-8=12 (-8= -14+6)
4x= 12+8
4x=20
x=5

here u go and please give me brainliest if you can :)

If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )​

Answers

[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]

[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]

[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]

[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]

[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]

[tex]\\ \sf\longmapsto x-y=0[/tex]

Now

[tex]\\ \sf\longmapsto 4x-4y-4[/tex]

take 4common

[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]

Put the value

[tex]\\ \sf\longmapsto 4(0-4)[/tex]

[tex]\\ \sf\longmapsto 4(-4)[/tex]

[tex]\\ \sf\longmapsto -16[/tex]

A board is 10.17 feet long. Sandy needs
to cut the board into 3 equal sections.
How long will each section be?

Answers

Answer:

3.39

Step-by-step explanation:

divide 10.17 by 3 to get the size of each section

Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?

Answers

Answer:

3 road bikes and 2 tandems

7 people

Step-by-step explanation:

25b + 40t = 155

b=3   and t = 2

Check

25*3  + 40*2 = 155

75+80 = 155

Assuming 1 person per road bike and 2 people per tandem

3*1 + 2*2 = 3+4 = 7

Find the nth term of 4,8,14,22

Answers

Answer:

2n+2

Step-by-step explanation:

the common difference is 4,6,8

again the common difference of 4,6,8 is 2,2

hence its common difference is 2

now, nth term,=a+(n-1) *d

4+(n-1)*2

4+2n-2

2n+2

x + x(x + y) + y; use x = 4, and y = 1

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x + x(x + y) + y}[/tex]

[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]

[tex]\huge\text{= 4 + 4(5) + 1}[/tex]

[tex]\huge\text{= 4 + 20 + 1}[/tex]

[tex]\huge\text{= 24 + 1}[/tex]

[tex]\huge\text{= 25}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Hi,

we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1

equation: X + X (X + Y) + Y

equation after substituting the numbers: 1 + 1 (1 + 4) + 1

Bidmas rules apply.

expand the bracket first. 1 (1 + 4)=

1 X 1= 1

1 X 4= 4

1 + 4 = 5

then the equation becomes: 1 + 5 + 1= 7

your answer is 7 if you want to evaluate it.

your answer is 1 + 1 (1 + 4) + 1 if you need the equation.

, hope that helps :)

Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above​

Answers

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]

[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]

[tex]y+12.82=0.025(x-0.80)[/tex]

[tex]y+12.82=0.025x-0.02[/tex]

[tex]y=0.025x-0.02-12.82[/tex]

[tex]y=0.025x-12.84[/tex]

[tex]y=-12.84+0.025x[/tex]

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.

Solve by factoring
6x^2 +13x -28 =0

Answers

Answer:

x=-7/2, x=4/3

Step-by-step explanation:

[tex]6x^2+13x-28=0[/tex]

Multiply 6 and -28 to get -168

Find 2 numbers that multiply to 168 but add to 13

They are 21 & -8

Rewrite the equation into:

[tex]6x^2+21x-8x-28=0[/tex]

Factor

[tex]3x(2x+7)-4(2x+7)=0[/tex]

(3x-4)(2x+7)=0

3x=4

x=4/3

2x=-7

x=-7/2

Mark all the statements that are true please help

Answers

Step-by-step explanation:

the correct answer is option c

Use substitution to solve the following system of equations. What is the value of y?

Answers

Answer:

y = 6

Step-by-step explanation:

Use the second equation:

2x - y = 2 ⇒ y = 2x - 2

Substitute this into first equation:

3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4

Now find y:

y = 2*4 - 2 y = 8 - 2y = 6

It is given that,

→ 2x - y = 2

Convert the equation as,

→ y = 2x - 2

First we should,

find the required value of x.

→ 3x + 4(2x - 2) = 36

→ 3x + 8x - 8 = 36

→ 11x = 44

→ [x = 4]

Let's find the required value of y,

→ y = 2x - 2

→ y = (2 × 4) - 2

→ y = 8 - 2

→ [y = 6]

Therefore, the value of y is 6.

Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____

Answers

Answer:

-2

(0, 1)

Step-by-step explanation:

Giveb the function :

F(x) = 3^x + 1 – 2

To obtain the asymptote, take the limit of f(x) as x as tends to ∞

3^(∞+1) - 2 = 0 - 2

Hence,

y = 0 - 2.

y = - 2

The y intercept, this is the value of y when x = 0

Hence, put x = 0

F(0) = 3^(0 + 1) – 2

f(0) = 3^1 - 2

f(0) = 3 - 2

f(0) = 1

Y - intercept = (0, 1)

Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]

Answers

Answer:

X is 11.8

Step-by-step explanation:

You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.

HURRY PLEASEEEEE!!!!!!

Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.

Answers

Answer:

24+p=t

Step-by-step explanation:

If he scored 24 points in the first half, and p in the next half, he scored a total of t points.

I just need to find that last box guys please help me solve this

Answers

Answer:

Step-by-step explanation:

y = 600 * (1.04)¹⁵

= 600 * 1.80094351

= $ 1080.57

At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon

Answers

Answer:

The salon would've made $1,240.

Step-by-step explanation:

Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:

Revenue = 100(first visit) + 30(second visit) + 10(third visit)

And now, we just solve:

r = 100(10) + 30(6) + 10(6)

r = 1,000 + 180 + 60

r = $1,240

A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?

Answers

Answer:

$28.5

Step-by-step explanation:

997.50 divided by 35 = $28.50 is their hourly rate of pay.

simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2

Answers

Answer:

I did this same answer on another app

hope this help☺️

What is the equation of the graph?

Answers

Answer:

[tex]y=2x^2+1[/tex]

Step-by-step explanation:

The general equation for a parabola in vertex form is the following:

[tex]y=a(x-h)^2+k[/tex]

Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,

[tex]y=a(x-h)^2+k[/tex]

Vertex: (0, 1)

[tex]y=a(x-0)^2+1[/tex]

A point on the parabola: (1, 3)

[tex]3=a(1-0)^2+1[/tex]

[tex]3=a1+1\\3 = a + 1\\[/tex]

Inverse operations,

[tex]3=a+1[/tex]

[tex]2 = a[/tex]

Substitute back into the original expression:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=2(x-0)^2+1[/tex]

Simplify to put in standard form:

[tex]y=2(x-0)^2+1[/tex]

[tex]y=2(x)^2+1[/tex]

[tex]y=2x^2+1[/tex]


What is the equation of the line?

Answers

X=3 is the equation of the line

What is the trigonometric ratio for sin C?

Enter your answer, as a simplified fraction,
In the boxes.

Answers

Answer:  9/41

==========================================================

Explanation:

We have a triangle with these three sides.

a = 80b = unknownc = 82

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41


Show working please

Answers

Answer:

Step-by-step explanation:

       1.159 R (remainder) 42

     | ------------------------

73  | 84.649

      -73

       116 (brought 6 down)

       -73

         434 (brought 4 down)

         -365

          699 (brought 9 down)

         -657

             42 is the remainder

↪[tex] \: \: \: \: \: \: \: \: \: \: \huge \rm{answer:} \boxed{ \purple{42}}[/tex]

[tex] \huge \red {\boxed{\sf{armed \: account}}}[/tex]

[tex] \huge\frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm1159r42}{ \: 73) \: \:84649} \\ \huge \frac{ - 73}{ \: \: \: \: \: \: 116} \\ \huge \frac{ \: \: \: \: - 73}{ \: \: \: \: \: \: \: \: \: 434} \\ \huge \frac{ \: \: \: \: \: \: - 365}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 699} \\ \huge\frac{ \: \: \: \: \: \: \: \: \: \: - 657}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{42} }[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

And that's it! Hope it wasn't too hard to understand✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Step-by-step explanation:

[tex] \huge \rm{Hope \: this \: helps}[/tex]

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