1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fantom [35]
3 years ago
10

HELP WITH ANY OR ALL THESE PROBLEMS ASAP PLEASE LIKE NOW PLEASECAN SOMEONE PLEASE HELP 

Mathematics
1 answer:
LiRa [457]3 years ago
5 0

Ques 8:

The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)= x^{3}+2x^{2}-13x+10

a) We have to explain that why x =4 is not a possible rational zero.

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

For this , we will substitute the value of x in the given function.

V(x)=x^{3}+2x^{2}-13x+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=54 which is not equal to zero.

Therefore, x=4 is not a possible rational zero.

(b) To show that (x-1) is a factor of V(x).

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

Let (x-1)=0

So, x=1.

Substituting x=1 in the given function.

V(1)=1^{3}+2(1)^{2}-13(1)+10

V(1)= -10+10

V(1) = 0

Therefore, (x-1) is a factor of V(x).

Now we will factorize the given function.

Dividing the given function by (x-1).

On dividing, we get quotient as x^{2}+3x-10

So, factored form is = (x-1)(x^{2}+3x-10)

= (x-1)(x^{2}+5x-2x-10)

= (x-1)(x(x+5)-2(x+5))

=(x-1)(x+5)(x-2)

(c) So, the dimensions are 1,2 and -5.

You might be interested in
Given the arithmetic sequence with the following two
kondor19780726 [428]

Answer:

aₙ = -15 + 10 * (n-1)

Step-by-step explanation:

aₙ = a₁ + (n-1)*d       a₁: first term     d: common difference

a₅  a₁ + 4d =25 .... (1)

a₁₁  a₁ + 10d = 85   ...(2)

(2) - (1)     6d = 60

d = 10

a₁ = -15

Formula: aₙ = -15 + 10 * (n-1)

8 0
3 years ago
X/5 = 15 (Solving Linear Equations)
tiny-mole [99]
\dfrac{x}{5}=15\\
x=75
3 0
3 years ago
What items did she buy
ipn [44]

Answer:

Cap, purse, and dress

Step-by-step explanation:

235+490+95= 820

Hope that helps :D

<u><em>-Jazz</em></u>

4 0
2 years ago
Tomas and Tasha were hiking at a speed of 3.5 mph. On their way back, they were tired and their speed was 2 mph. How long was th
Anna35 [415]

 To get the length of the route use the expression for speed,

Distance = Speed × Time

Length of the route is 7 miles.

It's given in the question,

 Speed of Tomas and Tasha initially = 3.5 mph

Therefore, distance travelled by both with the speed of 2 mph one way will be,

 Distance = 3.5t [Here, t = time ]

Speed of both while coming back = 2 mph

And the time taken = t + (1 hour 30 minutes)

                                 = (t + 1.5) hours

Therefore, distance travelled while coming back = Speed × Time

                                                                                  = 2(t + 1.5)

Since, length of the route is same both ways,

3.5t = 2(t + 1.5)

3.5t = 2t + 3

3.5t - 2t = 3

1.5t = 3

t = 2 hours

Now substitute the value of t in the expression to get the distance of the route,

Distance = 3.5t

               = 3.5 × 2

               = 7 miles

 Therefore, route was 7 miles long.

Learn more,

brainly.com/question/1955818

7 0
2 years ago
Read 2 more answers
If the area of a circle is 64 square meters then what is the radius
s2008m [1.1K]

Answer:

Radius = 4.51

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Several properties are used to evaluate this expression. Identify the property used in each step.
    7·2 answers
  • What is the is for in the math problem ..<br> The value of 3 in _is _ times the value of 3 in
    13·1 answer
  • Slope = 5, passing through (-2,5)
    10·1 answer
  • Write 9x+3x2-4x5+x3+2x4 in standard form.
    8·2 answers
  • How to change 7.25% into a decimal?
    14·2 answers
  • What is the sum of the first four composite numbers?
    7·2 answers
  • an unopened can of iced tea contains 350 cubic centimeters of liquid. if the van is 5 inches long and has a .8 inch diameter, wh
    11·1 answer
  • Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given informa
    14·1 answer
  • What is the slope of the line that contains these points? x=9,13,17,21 and y =-24,-21,-18,-15
    9·1 answer
  • Combine like terms: c + c + c <br> what do you get?<br> A- 3c<br> B- c3
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!