g(x) is a polynomial that has a leading coefficient of 3, and the following roots -1,1,2. Write g(x) in standard form

Answer:

35 is a reasonable amount

Step-by-step explanation:

Since all of the books cost around $7 and there are 5 books

when you multiply 7x5=35

Answer:

b. 4ft

Step-by-step explanation:

thank you for the points, have an amazing day! :)

Answer:

C.

Step-by-step explanation:

We need to use the Pythagorean theorem to complete this problem. We are given the hypotenuse and the base of the triangle in the middle. The hypotenuse is 5 and the base is 3.[tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]a^{2}[/tex] is what we will complete.

[tex]5^{2} +3^{2} = a^{2}[/tex]

[tex]25 + 9 = 34[/tex]

[tex]34 = a^{2}[/tex]

[tex]\sqrt{34} =a[/tex]

Therefore, the answer is C.

Answer:

A. 25in.³

Step-by-step explanation:

Volume of a prism = area of base × height

Answer:

[tex](-9.5,2.63)[/tex]

Step-by-step explanation:

In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.

Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.

Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,

[tex]a(x-k)^2+h[/tex]

(k, h) is the vertex of the parabola.

The quadratic equation in standard form,

[tex]2x^2+19x+42.5[/tex]

Group the quadratic and linear terms,

[tex](2x^2+19x)+42.5[/tex]

Factor out the coefficient of the quadratic term,

[tex]2(x^2+9.5x)+42.5[/tex]

Add a term to make the grouped part a perfect square trinomial, then balance the equation,

[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]

Simplify,

[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]

[tex]2(x+9.5)^2+2.625[/tex]

The vertex of the equation is the following,

[tex](-9.5,2.625)[/tex]

Rounded,

[tex](-9.5,2.63)[/tex]

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

Given

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Required

Express as [tex]ax + b[/tex]

We have:

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Open brackets

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]

Evaluate all multiplications

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]

Collect like terms

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]

Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]

Answer:

7+2√10

Step-by-step explanation:

Answer:

7+2√10

Step-by-step explanation:

Answer:

Step-by-step explanation:

From (-5,-4) to (-8, -7) is left 3 and down 3. In arrow notation: <-3 \/3

figure out what the x and y components of the translation are and then write the arrow to show the direction'

Answer:

15x

Step-by-step explanation:

5x-20x+30x=15x

Answer:

Step-by-step explanation:

x is one-half the value of its intercepted arc. Therefore, x is 110/2 which is 55. Second choice down is the one you want.

Answer:

12.5% of the day

Step-by-step explanation:

There are 24 hours in 1 day

3/24 = 1/8

.125 = 12.5%

Answer:

12.5%

Step-by-step explanation:

Answer:

22 + x ≤ 40

x ≤ 18 pounds

Step-by-step explanation:

Maximum weight = 40 pounds

Initial weight = 22 pounds

Let Maximum weight that can be added = x

Mathematically, this means :

Initial weight + additional weight ≤ 40

That is ;

22 + x ≤ 40

Additional weight, x :

x ≤ 40 - 22

x ≤ 18 pounds

Answer:

V=56.5

Step-by-step explanation:

Formula for finding volume of a cylinder is  V=pi r^2h, substitute h for the height and r for radius. V=pi 3^2 2

Step-by-step explanation:

2

57

65

566

77788

66777

66788

67899

6789

78899

789999

88889

8888888

788889

888888999999999

Answer:

0.9412

Step-by-step explanation:

Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.

Answer:

Step-by-step explanation:

i think you have to multiply then divide

AThe chosen topic is not meant for use with this type of problem. Try the examples below.

f (x) = 7x − 2, x = 6

f (x) = 3x − 2, x = 9

f (x) = x^2, x = 12

Answer:

I believe it is 2.2

Step-by-step explanation:

5 goes into 11. 2 times. 2times5= 10 and 11-10=1- 5 goes into 10 2 times- 2 times 5=10; 10-10=0. Therefore it would be 2.2. Hope this helps you. :)

Answer:

B if its right i better get brainly list or a follow on ig

Step-by-step explanation:

1nspired_jay

Answer:

Correct answer is A

Step-by-step explanation:

When solving the inital problem you get 1405

Solved problems:

A: 1405

B: 1466

C: 3145

D: 3410

Therefore the correct answer is A

Answer:

10

Step-by-step explanation:

1, 1, 4, 6, 6, 12, 12, 13, 15

[tex]LQ=\frac{9+1}{4} =2.5 term= \frac{1+4}{2}=\frac{5}{2}=2.5\\UQ= 3(\frac{9+1}{4}) =7.5 term= \frac{12+13}{2}=\frac{25}{2}=12.5\\IQR=UQ-LQ=12.5-2.5=10[/tex]

Answer:

A. contract

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

You can change it to multiplication then solve

(2/6)*(3/2)=3/6=1/2

Step-by-step explanation:

You mean

╭☞2/6/2/3?

[tex]╭☞ \sf \: \dfrac{2}{ \dfrac{6}{ \dfrac{2}{3} } } \\ ╭☞ \sf \: \frac{2}{6} \times \frac{3}{2} \\ ╭☞ \sf \: \frac{3}{6} \\ ╭☞ \bf \: \frac{1}{2} [/tex]

Answer:

what do you mean

Step-by-step explanation:

can we see step 43

Answer: 32 ft.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4 feet per minute times 8 minutes equals 32

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

-----------------------------------

(b)

[tex]\frac{x+2}{3}[/tex] - [tex]\frac{2}{15}[/tex] = [tex]\frac{x-2}{5}[/tex] ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

--------------------------------------------

(c) Assuming lg means log then using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

Answer:

3750

Step-by-step explanation:

Let the tank contain x gallons of water.

when pumping is done, then tank 1 contain x-2500 gallons

and tank 2 contain x+2500 gallons.

according to question,

5(x - 2500) = x + 2500

or, 5x -12500 =x+ 2500

or, 5x - x =2500+12500

or, 4x =15000

or, x= 3750

hence each tank contains 3750 gallons.

Answer:

2 people left more than 15%.

Answer:

-12

Step-by-step explanation:

4y=4*(-3) 4*(-3)=-12

Answer:

It’s -12

Step-by-step explanation: