find the x- and y- intercepts of the following polynomial functions:

2. P(x) = x⁴ - 2x² + 1

3. P(x) = x (x- 1/2) (x + 4) (x - 1)

4. P(x) = x3 - 2x² - 4x + 8

5. P(x) = (x + 2) (x + 5) (x - 3) (x - 4)​

Answer: 5 hours

Step-by-step explanation:

The car has already travelled 25 miles into the 200 miles that it is meant to travel.

The distance left is therefore:

= 200 - 25

= 175 miles

The car is travelling at 35 miles per hour.

The time left for travel is:

= Distance /  Speed

= 175 / 35

= 5 hours

Answer:

The solution to the system of equations will be: (-6, 24)

Step-by-step explanation:

Given the system of equations

y = -3x+6

x = -6

substituting x = -6 in the equation y = -3x+6

y = -3x+6

y = -3(-6) + 6

y = 18+6

y = 24

Therefore, the solution to the system of equations will be: (-6, 24)

Note: it seems you have not mentioned the correct option in the answer choice as the correct choice is (-6, 24).

Answer:

50

Step-by-step explanation:

180-130=50

Answer:

105

Step-by-step explanation:

Answer:

The height of the triangle is: h = 6.4 cm

Step-by-step explanation:

Given

Area of the triangle A = 40 cm²

The Base of the triangle b = 12.5 cm

To determine

height of triangle h = ?

We know that the area A of a triangle is:

A = 1/2 bh

where

so

A = 1/2 bh

substituting A = 40 and b = 12.5

40 = 1/2 (12.5) h

40 × 2 = 12.5 h

12.5 h = 80

divide both sides by 12.5

12.5h/12.5 = 80/12.5

h = 6.4 cm

Thus, the height of the triangle is: h = 6.4 cm

Answer:

if you are simplify its 3.6b+8.3

Step-by-step explanation:

8.3+(7.2b-3.6b) : Group like terms together

8.3+3.6b : Combine each group

3.6b+8.3 : Rearrange the expression

Step-by-step explanation:

as we know

law of cosine

[tex]c = \sqrt{ {a}^{2} + {b}^{2} - 2ab. \cos(c) } [/tex]

[tex]c = \sqrt{ {14}^{2} + {18}^{2} - 2.14.18 - \cos( {35}^{o} ) } [/tex]

[tex]c = 10.35[/tex]

using the law of cosine

[tex]cos(a) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]

[tex] \cos(a) = \frac{ {18}^{2} + {10.35 }^{2} - {14}^{2} }{2.18.(10.35)} [/tex]

[tex]a = {50.87}^{o} [/tex]

b=87.13°

Answer:  It takes 3 seconds to do one of both i think

Step-by-step explanation:

19 and 6 was 75 and 18 and 6 was 72 which means 1 push up is 3 seconds multiply 3 by 18 that is 54 then subtract 72 by 54 which gives you 18 then divide 18 by 6 which is 3

Answer:

123

Step-by-step explanation:

(6^2+5)*3= 41*3= 123

Answer:

Step-by-step explanation:

take away the parenthesis

9 - 3 = 6

6² + 5 ÷ ⅓

take away the exponents

6 * 6 = 36

36 + 5 ÷ ⅓

36 + 5 = 41

41 ÷ ⅓

( 41 ÷ 1 ) ÷ 3

41 ÷ 3

13.66666666666667

Round it up, and u get

13.7 or 14 depends on how much u want to round it up to.

Hope this helped!

Have a supercalifragilisticexpialidociuos day!

Answer:

48.02 or 48 1/50 cubic feet and 3193.33 or 3193 33/100 LB ( I do rsm too )

Step-by-step explanation:

The width is 3.5

The length is 3.5*7/5 which is 4.9

The height is 4/5 of 3.5 which is 2.8

So, the volume in cubic feet is 3.5*4.9*2.8 which is 48.02 or 48 1/50

So, the amount in Lb is 66.5*48.02 which is 3193.33 or 3193 33/100

A tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.

A rectangular prism is a three-dimensional solid object that has six rectangle-shaped faces.

Length of a rectangular prism [tex](l)=3.5[/tex] feet

Width of a rectangular prism [tex](w)=\frac{5}{7}(3.5)[/tex]

                                               [tex]=2.5[/tex] feet

Height of a rectangular prism [tex](h)=\frac{4}{5}(3.5)[/tex]

                                                  [tex]=2.8[/tex] feet

Volume of a milk tank [tex]=lwh[/tex]

                                     [tex]=3.5(2.5)(2.8)[/tex]

                                     [tex]=\boldsymbol{24.5}[/tex] cubic feet

                                    [tex]=24.5(66.5)[/tex] pounds

                                    [tex]=\boldsymbol{1629.25}[/tex] pounds

So, a tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.

Find out more information about rectangular prism here:          

https://brainly.com/question/21308574?referrer=searchResults            

Answer:

11

Step-by-step explanation:

1. fill in the variables

3(7)- 5(2)

2. Multiply

21- 10

3. Subtract

21-10=11

Answer:

No, X=7

Step-by-step explanation:

Answer:

Yes, both equations will always work, but yes, at times it is more logical to use one over the other. for instance:

x-4y=6

x+4y=12

we see here that elimination would best fit:

x+x+4y-4y=6+12

or:

x=2y-3

7x+3y-81=23

substitute (2y-3) for x.

Also, once you have a single placeholder, put it ito quadratic form (ax^2+bx+c=0)

and use the quadratic formula:

x=(-b±sqrt(b^2-4ac))/2a

Answer:

Step-by-step explanation:

Step Statement                                                  ⇒  Reason

1    RSTU is a parallelogram                              ⇒  Given

2   Side RS || Side TU and Side RU || Side TS  ⇒ definition of a parallelogram

3    ∠RSU≅∠TUS and ∠RUS≅∠TSU                 ⇒ alternate interior angles are congruent

4     Side SU ≅ Side US                                      ⇒ reflexive property

5    ΔRSU≅ΔTUS                                                 ⇒ ASA postulate

6    Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ corresponding parts of congruent triangles are congruent

Answer:

X is parent 1

z is parent 2

y is parent 3

Answer:

B - 1/9

Step-by-step explanation:

I don't really know how to explain how I got it because I'm only in middle school in pre-algebra, but I did teach this to myself online haha, so here we go. Daneille rolled the dice 90 times, it only landed on 6 10 times. That is 10/90 which, simplified, is 1/9.

Answer:

4

Step-by-step explanation:

-2 x 4 is -8 plus one is -7.

Answer:

uhm x > 5. I hope that helps pls lmk

Answer:

X^158

Step-by-step explanation:

X^60xX^-18x(    )=X^200

X^42x(   )=X^200

x^158

Answer:

b

Step-by-step explanation:

Answer:

1 1/9

Step-by-step explanation:

5/6 ÷ 3/4 = ?

5/6 x 4/3

5 x 4

-------   =   20/18 = 1 2/18 = 1 1/9

6 x 3

Answer:

The answer is True! Just had this on a test.

Step-by-step explanation:

Answer:   =25.35

im sure its right

Answer:

Giant Candy Bar: 2$

Small Bags of Jawbreakers: .50$

Step-by-step explanation:

First you make out the equations, with the variables of c for giant candy bars and j for the small bags of jaw breakers.

First equation we make is 6c+2j=13

The second equation is 4c+6j=11.

You can then make one of the equations a negative and equal to the other. What I mean is we can use the elimination method. So I choose to do -18c+-6j=-39 (Multiplied by -3) so we can eliminate the 2 6js and get 4c=11 and -18c=-39. You then add the remaining equations together to get -14c=-28, so     c=2. Using that we can then chose an equation to substitute c with. Ill choose the first one, so you get 6(2)+2j=13. 12+2j=13; 2j=1. By simplifying, you get the jawbreakers as .50 dollars.

Answer:

a)B)9π

b)G)16π in²

Step-by-step explanation:

according to the question

[tex]64 \times \frac{\pi}{4} [/tex]

[tex]16\pi \: {in}^{2} [/tex]

as we know

C/d=π

C=dπ

Therefore

C=9π

Answer: -1>4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Given:

The given system of equation is:

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

[tex]4x+2y=-3[/tex]

To find:

The solution of given system of equations using subtraction.

Solution:

We have,

[tex]y=-2x+1[/tex]             ...(i)

[tex]4x+2y=-3[/tex]         ...(ii)

First equation can be rewritten as

[tex]2x+y=1[/tex]             (Adding 2x on both sides)

[tex]4x+2y=2[/tex]       ...(iii)        (Multiplying both sides by 2)

After subtracting (ii) from (iii), we get

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

[tex]4x+2y-4x-2y=2+3[/tex]

[tex]0=5[/tex]

This statement is false because [tex]0\neq 5[/tex]. It means, there is no value of x and y for which the given system of equations are true.

Therefore, the given system of equations has no solution and the correct option is b.

Answer: 6

Step-by-step explanation:

F(-3), you will find out by replacing the x with -3

f(-3)=(-3)^2+(-3)=9-3=6

Answer:

I think b, but I may be wrong

Answer:

I think c

Step-by-step explanation:

They are increasing more and more each time by 10%

Answer:

12.68

Step-by-step explanation:

With reference angle 45°

perpendicular (p) = 9

hypotenuse (h) = c

Now

sin 45 ° = p/ h

0.71 = 9 / c

c = 9 / 0.71

c = 12.68

Hope it will help :)