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2 years ago

Type the equation for the graph below.

Mathematics

1 answer:

trasher [3.6K]2 years ago

5 0

Answer:

y=log(pi divide by 2)exponent ×

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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

A car is traveling at a rate of 55 miles per hour . Let x=time in hours and y=number of miles . What is the equation that models

Orlov [11]

Givens

The equation is miles = rate of travel * hours.

Let the rate of travel = k

Let the miles = y

Let the number of hours = x

Equation

y = k*x Is the answer that you seek <<<<<Answer

5 0

3 years ago

Help it’s literally 2AM

MariettaO [177]

Answer:

Step-by-step explanation:

4x+8+3x+12=90

x=10

this is the solution hope it's helpful

4 0

3 years ago

A school goes through 10 gallons of milk in 3 days.

Akimi4 [234]

G = gallons d = days
10g = 3d
?g = 1d
1g = ?d
-------------
for gallons in a day, divide 10g = 3d by 3
d = 10/3 gallons
3 and 1/3 gallons in a day
---------------
for days per gallon, divide 10g = 3d by 10
g = 3/10 days
1 gallon lasts 3/10 of a day

3 0

3 years ago

A college professor reports that students who finish exams early tend to get better grades than students who hold on to exams un

s344n2d4d5 [400]

Answer:

The correlation between exam score and amount of time spent on the exam is an example of a negative correlation.

Step-by-step explanation:

Consider the provided statement.

College professor reports that students who finish exams early tend to get better grades than students who hold on to exams until the last possible moment.

That means the student who finish the exam early will get the highest marks. One who finish after the first student will get second highest mark and the one who finish in the end will get the least marks.

Now consider time as first variable and marks as second variable.

That means as the first variable increase the second variable decreases.

According to the definition of Negative correlation: It is a relationship between two variables in which one variable increases as the other decreases, and vice versa.

Hence, the correct answer is negative correlation.

7 0

3 years ago