Will someone please help me

There are rational roots for [tex]c = \frac{100}{3}[/tex].

For second order polynomials of the form [tex]a\cdot x^{2} + b\cdot x + c = 0[/tex], where [tex]a, b,c \in \mathbb{R}[/tex]. roots are real if [tex]b^{2}-4\cdot a\cdot c \ge 0[/tex]. In addition, roots are rational if [tex]b^{2}-4\cdot a \cdot c = 0[/tex].

If we know that [tex]a = 3[/tex], [tex]b = 20[/tex] and [tex]c < 100[/tex], then the discriminant must be [tex]400-12\cdot c \ge 0[/tex]. We must consider the following case:

[tex]400 - 12\cdot c = 0[/tex]

[tex]c = \frac{100}{3}[/tex]

There are rational roots for [tex]c = \frac{100}{3}[/tex]. [tex]\blacksquare[/tex]

To learn more on second order polynomials, we kindly invite to check this verified question: https://brainly.com/question/4119784

Answer:

2369

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

If you want to add a positive integer, jump right side and if you want to add negative number, then jump left side.

-3 + 5 = 2

2 +(-7) = -5

Answer:

[tex]\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex]

Step-by-step explanation:

The Binomial Theorem states that:

[tex]\displaystyle{(x+y)^n = \binom{n}{0}x^ny^0 + \binom{n}{1}x^{n-1}y^1+\binom{n}{2}x^{n-2}y^2 + \dots + \binom{n}{n}x^{n-n}y^n}[/tex]

Note that:

[tex]\displaystyle{_n C _r = \binom{n}{r} = \dfrac{_n P _r}{r!} = \dfrac{n!}{(n-r)!r!}}[/tex]

Therefore, first, we will write the expansion:

[tex]\displaystyle{(d+5b)^3 = \binom{3}{0}d^3(5b)^0 + \binom{3}{1}d^2(5b)^1+\binom{3}{2}d^1(5b)^2 + \binom{3}{3}d^0(5b)^3}[/tex]

Evaluate each terms:

[tex]\displaystyle{(d+5b)^3=\dfrac{3!}{3!0!}d^3 + \dfrac{3!}{2!1!}d^25b+\dfrac{3!}{1!2!}25b^2d + \dfrac{3!}{0!3!}125b^3}\\\\\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex]

Henceforth, [tex]\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex] is the expansion.

Answer: 20

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

10 into 20 is 2.

Multiply 2 x 4

Answer:

m=33.7g

Step-by-step explanation:

See attachment

Answer:

false false true and false

Step-by-step explanation:

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want are given a line with a slope of 2, that passes through the point (9, 10)

We want to find the equation of this line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately plug it in as m in the formula.

y=2x+b

Now we need to find b, which is the value of the y intercept

As the equation passes through the point (9, 10), it is a solution to the equation, meaning that if we plug it into the equation of the line, it will create a true statement.

So we can use its values of x and y to help us solve for b.
Substitute 9 as x and 10 as y in the equation.

10=2(9) + b

multiply

10=18+b

Subtract 18 from both sides to isolate b on one side

-8=b
Substitute -8 as b into the equation

y=2x-8
Hope this helps!

If you would like additional problems to practice, here are two of them, both with explanations (n.b., the solution to the first link included uses a different method from the one in this answer.)
https://brainly.com/question/18112053
https://brainly.com/question/25508767

Answer:

the next number is 729

Step-by-step explanation:

Each number is multiplied by 3 to get the next number,

[tex]3*3=9\\9*3=27\\27*3=81\\81*3=243\\[/tex]

so if we follow this pattern, the next number should be.....

[tex]243 *3= 729[/tex]

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

Ratio in length : width  =  16 : 7

Step-by-step explanation:

Length : Width = 64 : 28             .............start simplifying it

                          = 32 : 14

                           = 16 : 7

Answer:

All box dimensions are written as length x width x height. For example, 14" x 11" x 4" means 14" (L) x 11" (W) x 4" (H)"

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(3x+4) = 32 show work please

2 * (3x + 4) = 32

6x + 8 = 32

6x = 24

x = 24 : 6

x = 4

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

check

2 * (3 * 4 + 4) = 32

2 * 12 + 8 = 32

32 = 32

the answer is good

Answer:

The value of x is 4.

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation, we'll use this given concept :

[tex]\begin{gathered}\qquad{\twoheadrightarrow{\sf{2(3x + 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(2 \times 3x) + (2 \times 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(6x) + (8) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x + 8 = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 32 - 8}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 24}}}\\\\\qquad{\twoheadrightarrow{\sf{x = \dfrac{24}{6}}}}\\\\\qquad{\twoheadrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\boxed{\sf{\purple{x = 4}}}}}\end{gathered}[/tex]

Hence, the value of x is 4.

[tex]\rule{300}{2.5}[/tex]

Answer:

9

Step-by-step explanation:

7, 17, 27, 37, 47, 57, 67, 77,

mark me as brainliest pls

Answer:

18

Step-by-step explanation:

7,17,27,37,47,57,67,70,71,72,73,74,75,76,77,78,79

Answer:

A

Step-by-step explanation:

1 oboe in every 7 clarinets so there would be 2 in 14 and 3 in 21

Answer:

[tex]3b^{4}[/tex]

Step-by-step explanation:

[tex]36a^{4} b^{7} / 12a^4b^3\\[/tex]

Break it down step by step.

[tex]36/12=3\\a^4-a^4=0\\b^7-b^3=4[/tex]

Answer:

he is right

Step-by-step explanation:

Answer:

F. -5

Step-by-step explanation:

2x + 1 its x < 4 not x ≤ 4 so theres no function for f(4) on the first inequality

Answer:

C. 3x=21

x=7

Step-by-step explanation:

Answer:

Number A

Because he want to now the number of people the van is carrying

Step-by-step explanation:

Answer:

The area of the envelope is 60 in²

Step-by-step explanation:

Area = Length x Width

So, let's substitute in the numbers!

Area = 10 in x 6 in

Area = 60 in²

Answer:

The answer is what you have selected: (1, -5)

Step-by-step explanation:

To solve a system of equations by graphing, all you have to do is graph the equations and see where they intersect. It's pretty simple, especially if you use a website like Desmos. Here's a photo of my graph with the solution. (the point of intersection).

I hope this helps! Feel free to give me Brainliest if you feel like this helped. Best of luck with your assignment. :)

Answer:

49

Step-by-step explanation:

Answer:

98/2=49

Hence, 49 is doubled to get 98.

Step-by-step explanation:

Step-by-step explanation:

3.2

hope it helps .

stay safe healthy and happy.

[tex]\huge\text{Answer:}[/tex]

[tex]\mathrm{The~number~is~3.2.} :)[/tex]

[tex]\huge\text{Step-by-step explanation:}[/tex]

Hi! Hope you are having a fantastic day! :)

Let's say the number is t.

The difference of 5t and 9 is 25. What is t?

[tex]\rm{5t-9 = 25[/tex]

Add 9 to both sides:

[tex]\rm{5t=34}[/tex]

Divide both sides by 5:

[tex]\rm{t=3.2[/tex]  (Answer)

Hope you find it helpful.

Fee free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]

Answer:

Simplified expressions: 11x

Coefficient: 11

Step-by-step explanation:

What's a coefficient?

Step 1: Simplify the expression.

Therefore, the simplified expression is 11x, and the coefficient is 11.

Answer:

$44

Step-by-step explanation:

The original price of the wardrobe = 100%

If the wardrobe was decreased by 38%, then the discounted price of the wardrobe = 100% - 38% = 62%

Therefore, $27.28 = 62% of the original price.

62% = 62/100 as a ratio

Using ratios, and letting [tex]x[/tex] be the original price:

                                                    27.28/[tex]x[/tex] = 62/100

Cross multiply:                     27.28 x 100 = 62 x [tex]x[/tex]

                                                        2728 = 62[tex]x[/tex]

Divide both sides by 62:                     44 = [tex]x[/tex]

Therefore, the original price of the wardrobe was $44

Alternatively, divide 27.78 by 62 to get the cost per 1%.  Then multiply this by 100 to get the original price (100%):

(27.78 ÷ 62) x 100 = 44

Answer:

The XYZ is a right angled triangle(90)

Step-by-step explanation:

Answer:

the fraction shown is 2 and 3/8

Step-by-step explanation:

there are 7 spaces between each whole number this means that we are using 8th's meaning that if we are on the 3rd space it is 3/8

Answer:

5). 2/3 divided by 1/2 answer is 1/6    and 6). 75cm and 2  3/4 times ...answer is 2.7x10-5 or ,2.7x10.5

Step-by-step explanation:

hope its help sana makatulong

Answer:

No because 3/8 is not equivalent to 12/24

Step-by-step explanation:

Answer:

10x^4 - 8x^3 + 3x

Step-by-step explanation:

Answer

It would be 204 because you would turn that 24% into a decimal which would 0.24 then you times 850*0.24 which equal 204.

Step-by-step explanation: