Given that p(x) is a polynomial in 2 and a € R. If (x – a) is a factor of p(I), then p(a) must be
Select one:
a. negative
b. irrational
C. Zero
d. positive

Answer:

y= 5/6x -6

Step-by-step explanation:

[tex]m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\[/tex]

Substitute values into point slope form

[tex]y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6[/tex]

The equation of the line that has a slope of 5/6 and passes through (12, 4) will be y = 5/6) x - 6.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is 5/6. Then the equation of the line will be

y = (5/6)x + c

The equation of the line is passing through (12, 4), then the value of c will be

4 = (5/6) 12 + c

4 = 10 + c

c = -6

Then the equation of the line will be y = (5/6)x - 6.

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Answer:

ok but thx for the points

Step-by-step explanation:

The remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).

Given the polynomial; f(x) = x² + 3x + 7, since it is divided by x + 2, hence:

x + 2 = 0

x = -2

f(-2) = (-2)² + 3(-2) + 7 = 5

Hence the remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.

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Step-by-step explanation:

In response to this question,

When solving a linear equality, one difference that we must keep in mind other than replacement of = sign with some equality sign is that when we do multiplication or division with a negative number, we are then required as a must to change the direction of the inequality sign.

Answer:

$18, $9, $9

Step-by-step explanation:

First get the sum of all the ratios 2+1+1 =4

Divide $36 by the sum of the ratios $36/4 =$9

Multiply each ratio by $9 to get each of the amount.

I. 2x$9= $18

ii. 1x$9= $9

Iii. 1x $9 = $9

Answer:

the answer is 12.08

Step-by-step explanation:

Use the distance between point formula

Answer:

acute

Step-by-step explanation:

Answer:

u can use desmos

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x - 4)(-3x -4)

-6x^2 - 8x + 12x + 16

-6x^2 + 4x + 16

Answer:

No solutions

Step-by-step explanation:

5x^3 + 2 + 7x^2 = 7x^2 + 5x^3 +2

125x + 2 + 49x = 49x + 125x + 2

-125x                             -125x

2 + 49x = 49x + 2

-2 -49x    -49x  -2

0 = 0

Hope this helped :)

Answer: 6

Step-by-step explanation:

Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.

6x+4x=10                 [add]

10x=10                      [divide both sides by 10]

x=1

Now that we know x=1, we can plug that into DE.

6(1)=6

Now, we know that DE is 6.

Answer:

f(3)= -3

g(-4)=2*(-4 ) -1 =-9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 3x5=15

2. 2x5=10 and 3x3=9

3 10/15 + 9/15= 19/15 or 1 and .3 so they need approx .2 more pounds

X-6y<-12 in slope intercept form is y > 1/6X + 2

Answer:

[tex](g\cdot f)(0)=4[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=5x-4\text{ and } g(x)=x^2-1[/tex]

And we want to find:

[tex](g\cdot f)(0)[/tex]

This is the same as:

[tex]=g(0)\cdot f(0)[/tex]

So, find g(0) and f(0):

g(0):

Substitute 0 into g(x):

[tex]g(0)=(0)^2-1[/tex]

Square:

[tex]g(0)=0-1[/tex]

Subtract:

[tex]g(0)=-1[/tex]

And f(0):

Substitute 0 into f(x):

[tex]f(0)=5(0)-4[/tex]

Multiply:

[tex]f(0)=0-4[/tex]

Subtract:

[tex]f(0)=-4[/tex]

So, our equation is now:

[tex](g\cdot f)(0)=g(0)\cdot f(0)=(-1)\cdot(-4)[/tex]

Multiply:

[tex]=4[/tex]

So, our answer is 4.

And we're done!

$162.50 because if you add the percentages together, you get 35%

If you subtract 35% off of 250, you get 162.50

Answer:

x=-3/2

y=3

Step-by-step explanation:

i hope this helps

Answer:

x=2x+3 Improper question not enough details The only answer can be found right now is 3x+3

Step-by-step explanation:

Combine like terms and give me brainliest please

[tex]\text {Hi There! The answer to your problem is}[/tex]

[tex]\fbox {x=-3/13}[/tex]

[tex]\text {Your 1st Step will be to Simplify the Equation}[/tex]

[tex]\text {-5x+3=8x+9+-3}[/tex]

[tex]\text {-5x+3=(8x)+(9+-3) (Combine Like Terms)}[/tex]

[tex]\text {-5x+3=8x+6}[/tex]

[tex]\text {The Next Step is to Subtract 8x}[/tex]

[tex]\text {-13x+3-3=6-3}[/tex]

[tex]\text {-13x=3}[/tex]

[tex]\text {The Final Step is to Divide by -13}[/tex]

[tex]\text {-13x/13=3/-13}[/tex]

[tex]\text {x=-3/13}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

210 feet  To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:

42feet/9.4 feet= 4.468

That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468=  210 feet.

Answer:

Price of 1 hotdog= $0.50

Price of 12 hotdogs=12x$0.50= $6.0

Hope it helps :)

12 hot dogs will cost $6

12*0.5=6

Answer:

a = 31°

b = 66°

Step-by-step explanation:

Reason for the answer to a:

It is an alternate angle. So, a = 31°.

Reason for the answer to b:

It is also an alternate angle. So, b = 35° + 31° = 66°.

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

Answer:

n > -2

Step-by-step explanation:

Distribution property:

7 - 14n < 33 - n

Bring n over:

7 - 13n < 33

Bring 7 over:

-13n < 26

n > -2

Answer:

13,200

Step-by-step explanation:

6000/100=60

60x8=480

480x15=7,200

6,000+7,200=13,200

If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.

Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.

We have been given that the deposit is $6000,rate is 8% which is compounded monthly.

So effective rate of interest will be 8/1200=0.0067.

n will be 15*12=180

The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]

S=6000[tex](1+0.0067)^{180}[/tex]

Take log both sides.

log S=log 6000[tex](1+0.0067)^{180}[/tex]

log S=log 6000+log [tex](1+0.0067)^{180}[/tex]

log S=log 6000+180 log (1.0067)

log S=3.7781+180*0.0029

log S=3.7781+0.522

log S=4.3001

S=AL (4.3001)

S=19957.218

Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.

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Answer:

= 37

Step-by-step explanation:

(8+4+3) + (6+5+11)

= 15 + 22

= 37

I think it's the third choice :)) the one you currently have

Answer: 1935825

Step-by-step explanation: