The polynomial function f(x)=x3−x2−4x+9 has one negative zero.

Between what integers does this negative zero occur?

The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]

First, subtract [tex]\frac{1}{3}x[/tex]  on both sides.

[tex]y=-\frac{1}{3}x+4[/tex]

You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex]  is your answer.

pth term of an AP = q

qth term = p

nth term of A.P. is (p+q-n). ​

We know that,

nth term of an AP (an) = a + (n - 1)d

Hence,

⟹ a + (p - 1)d = q

⟹ a + pd - d = q

⟹ a = q - pd + d -- equation (1)

Similarly,

⟹ a + (q - 1)d = p

Substitute the value of a from equation (1).

⟹ q - pd + d + qd - d = p

⟹ qd - pd = p - q

⟹ - d(p - q) = p - q

⟹ - d = 1

⟹ d = - 1

Substitute the value of d in equation (1).

⟹ a = q - p( - 1) + ( - 1)

⟹ a = q + p - 1

Now,

an = q + p - 1 + (n - 1)( - 1)

⟹ an = q + p - 1 - n + 1

⟹ an = p + q - n

Hence, Proved.

I hope it will help you.

Regards.

Step-by-step explanation:

ANSWER

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

Solving these equations, we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)

Answer:

1. 20/90 ----- GCF is 10 ----- 2/9

2. 15/240 ----- GCF is 15 ----- 1/16

3. 9/100 ----- GCF is 1 ----- 9/100

4. 25/192 ----- GCF is 1 ----- 25/192

5. 451/96 ----- GCF is 1 ----- 4 67/96

6. 725/180 ----- GCF is 5 ----- 4 1/36

Answer:

4x^2−4x−15

Split using the sum and difference of the formula, the simplify

Answer:

285

Step-by-step explanation:

300-15=285

Answer:

285

Step-by-step explanation:

3 x 100 = 300

3 x 5 = 15

300 - 15 = 285

Hope This Helps!

Answer:

a. 6 1/2

Step-by-step explanation:

If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5

6.5 as a fraction is 6 1/2. So, the answer is a.

Have an amazing day!! Good luck on your test C:

Answer:

40k per hour is faster

mark me as branliest plz

Answer: 108

Step-by-step explanation:

Answer: 2x= 40 so 2x20=40

Step-by-step explanation:every triangle has to add up to 180 digrees

65+75+40=180

Answer:

127 degrees

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

Answer:

y=3.54m

Step-by-step explanation:

it is pretty self explanatory

An algebraic expression for the statement could be as; y = 3.54m

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

Thus which can also be used to indicate the logical syntax's order of operations and other features.

We need to write an algebraic expression for the statement.

Given that The cost of m pounds of meat when the cost per pound is $3.54.

Therefore, the expression could be as;

y = 3.54m

hence, An algebraic expression for the statement could be as; y = 3.54m

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.

Step-by-step explanation:

Answer:

Love is something you have to take care of figuratively.

Love is life, but love is sometimes not the thing to have sometimes

Love could be great, Love could be bad.

Step-by-step explanation:

Answer:

y=x+6

Step-by-step explanation:

175

Hi there !

25 = 5²

35 = 5×7

Lcm = multiply together each of the prime numbers with the highest power

Lcm(25 ; 35) = 5²×7 = 25×7 = 175

Good luck !

Answer:

4 because everything is multiplied by 2

Step-by-step explanation:

3.5 × 2 = 7, do the same thing to the amount of oz used to make the cube.

2 × 2 = 4, so 4 oz of clay should be enough. PLZ MARK BRAINLIEST

Answer: The estimated number of robins in the population is 550

Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:

1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;

2) After a period of time, catch another group and count the ones who have the mark;

3) Estimate the population using:

[tex]N=\frac{M*C}{R}[/tex]

where

N is the estimate of individuals in the population

M number of individuals marked

C is the total number of individuals captured the second time

R is the number of individuals with the mark recaptured

For the population of robins:

[tex]N=\frac{55*300}{30}[/tex]

[tex]N=\frac{16500}{30}[/tex]

N = 550

The best estimate for the robin population is 550.

Step-by-step explanation:

the answer is because AP is not congruent to PB

Answer: they aren’t

Step-by-step explanation:

The angles and lengths are not proportional so they are not similar.

Answer:

They are not similar

Explanation:

Even though they would look very similar if they were turned the same way the back of one of them is at a 90 degree angle while the other is at a more acute angle so no they are not similar.

Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

slope is y2-y1/x2-x1

20-10/7-7

10/0

denominator can't be 0

Answer:

D

Step-by-step explanation:

cause i said so

Answer:

It’s it shows that Reece could work around his disadvantages

Step-by-step explanation:

Answer:

36 is the lcm of this question

Step-by-step explanation:

please state the amount and the times he's supposed to work rephrase the question please

Answer:

$41.10

Step-by-step explanation:

1 hour of mowing=$7.10

5 hours of baby sitting= $6.80×5=$34

TOTAL=$7.10+$34=$41.10

Answer:

Step-by-step explanation:

X<2

Answer:

30

26

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Because it increased and it also went up by 20%