(x+3)^2+7 in standard form

9514 1404 393

Answer:

  D)  3x^3 +x^2 -18x -6

Step-by-step explanation:

The distributive property applies.

  (f·g)(x) = f(x)·g(x) = (3x +1)(x^2 -6) = 3x(x^2 -6) +1(x^2 -6)

  (f·g)(x) = 3x^3 -18x +x^2 -6 . . . . . eliminate parentheses

  (f·g)(x) = 3x^3 +x^2 -18x -6 . . . . put in standard form

Answer:

Step-by-step explanation:

[tex]4\sqrt{3-\frac{1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\4\sqrt{\frac{3x-1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\\\put ~\sqrt{\frac{3x-1}{x}} =a\\4a-\frac{1}{a} =3\\4a^2-1-3a=0\\4a^2-4a+1a-1=0\\4a(a-1)+1(a-1)=0\\(a-1)(4a+1)=0\\a=1,-\frac{1}{4}\\[/tex]

[tex]\sqrt{\frac{3x-1}{x} } =1\\3x-1=x\\3x-x=1\\2x=1\\x=\frac{1}{2}[/tex]

when a=-1/4

[tex]\sqrt{\frac{3x-1}{x} } =-\frac{1}{4} \\[/tex]

[tex]\frac{3x-1}{x} =\frac{1}{16} \\48x-16=x\\47x=16\\x=\frac{16}{47}[/tex]

[tex]\frac{(1-2x)^2 \times (x^2-9)}{-x^2-x+6} \geq 0,\\both ~numerator ~and~denominator ~are~of~same~sign.\\\frac{(1-2x)^2(x^2-9)}{-x^2-3x+2x+6} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{-x(x+3)+2(x+3)} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{(x+3)(-x+2)} \geq 0\\(1-2x)^2\geq 0~(always)\\x\neq -3\\case.~1.\\both~numerator~and~denominator >0\\\frac{x-3}{-x+2} \geq 0\\x-3\geq 0\\x\geq 3\\-x+2> 0\\-x>-2\\x<2\\so~ solution~ is~ (-\infty,-3)U(-3,2)U[3,\infty)[/tex]

case 2.

both numerator and denominator are negative.

[tex]x-3\leq 0\\x\leq 3\\-x+2\leq 0\\-x\leq -2\\x\geq 2\\solution~is~(-\infty,-3)U(-3,3]U[2,\infty)[/tex]

Answer:

Step-by-step explanation:

It 1 2

Answer:

Find the perimeter first then the are

Step-by-step explanation:

Answer:

15.2%

Step-by-step explanation:

There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.

You multiply these 2 values together.

5/12 * 4/11 = 20/132 = 0.1515

This is about 15.2%

Answer:

option b : 15.2 %

Step-by-step explanation:

5 Red , 4 Blue,  3 Yellow

Total balls = 12

[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]

Answer:

a = 16 π cm²      Exact answer

a = 50.24 cm²       Decimal approximation

Step-by-step explanation:

Radius of the circle

16/2 = 8

Area of the circle

a = πr²

a = π4²

a = 16 π cm²      Exact answer

a = 16 * 3.14

a = 50.24 cm²       Decimal approximation

Answer:

p = 2

Step-by-step explanation:

2VX = TU

2(p - 6) = p + 14

2p - 12 = p + 14

p = 2

Answer:

81

Step-by-step explanation:

To find the base unit of the ration, divide 90 by 10, which is 9. Then multiply 9 (the base unit) by 9 (the ratio of the seventh graders) and that equals 81

Answer:

1620

Step-by-step explanation:

You don’t use the 10,000.

12 bars/box x 135 calories/box=1,620 per box

Step-by-step explanation:

hope it helps thanks

pls mark me brainliest

Answer:

The first one

The fourth one

Step-by-step explanation:

Draw a venn diagram (see picture)

A|C= (A∩C)/C

(6+8)/(6+8+3+4)= 2/3

C|B= (C∩B)/B

(8+3)/(11+5+8+3)= 11/27

A=(12+5+8+6)/(11+5+8+3+4+6+12) = 31/49

C= (4+6+8+3)/(12+5+11+6+8+3+4)=  3/7

P(B|A)= (B∩A)/A

(5+8)/(12+5+6+8) = 13/31

Answer:

A and D

Step-by-step explanation:

edge 2021

Answer:

<

Step-by-step explanation:

-10.5 is close to zero than -12.5 therefore it is greater. (Negatives are different than positives because the close they are to zero, the bigger they actually are.)

Hope this helps!

:)

Answer:

35=10+5+5

35=20+p

35-20=p

p=15

Answer:

-16m^16 n^5

Step-by-step explanation:

(2m^4)^4*-n^5

= 2^4*m^16*(-n^5)

= 16 m^16 * (-n^5)

= -16m^16 n^5

hopefully this will help

Remember the rule

Answer: Quadrant 1 because both numbers are Positive

Hope this helps...

Have a great day

Answer:

Step-by-step explanation:

volume of a prism =base area * length

35 = base area * 7

35/7 = base area

5 cm^2 =base area

base area= [tex]\frac{1}{2}*b*h[/tex]

5=[tex]\frac{1}{2}*4*h[/tex]

5=2*h

5/2=h

2.5=h

Answer: 7$

Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7

Answer:

I think it might be C but I'm not 100% sure!

Step-by-step explanation:

You have to find a line of best fit (a line through the dots) but it's kind of tricky to do that so I think it's probably C but it could also be A. Just use your best judgement on this one!

Answer:

C

Step-by-step explanation:

If you graph all 4 and plot  all 4 of the  point, line c  is the most accurate and lines up the best out of all 4.

Answer:

3

Step-by-step explanation:

According To the Question,

Then First, we have to find those values of 'x' for which the given fraction is a square.

We Know, All the factors of 48 are {1,2,3,4,6,8,12,16,24,48} .

Now, From the above factors, only (3,12 & 48) can give us a square number.

Therefore,

Thus, There are 3 whole numbers (3,12,48).

Answer:

bbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer:

x=89

Step-by-step explanation:

180-91=89

Answer:

x = 89

Step-by-step explanation:

x + 24 + 4 + 63 = 180

x + 91 = 180

x = 89

Answer:

Step-by-step explanation:

Whenever you're simplifying radicals and there are numbers involved, ALWAYS find the prime factorization of the number. It will always help...Promise! 8 = 2 * 2 * 2 or 2³. So we can rewrite that radical as

[tex]\sqrt[3]{2^3}[/tex]  Cubing "undoes" a cubed root, so the answer is 2

Answer: the answer is  2

Answer:

-15

Step-by-step explanation:

a = 3 and b = -6.

- 3a + b

Substitute for a and b

adding negatives is subtracting

-3(3) - 6

Multiply

-9 - 6

add

-15

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

Answer:

[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]

Step-by-step explanation:

The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.

The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]

Answer:

? = A) 4

Step-by-step explanation:

If we notice line FG and QR are similar.

FG = 24 and QR = 8. The relationship between the the two sides is that FG is 3 times more than QR ---> 8 x 3 = 24.

This relationship is true for the rest of the triangles since they are stated to be similar:

FG = 3(QR)

24 = 3(8)

EG = 3(6)

18 = 3(6)

Finding PQ:

EF = 3(PQ)

12 = 3(?)

? = 4

Therefore, the unknown side is 4.

Answer:

Interrater reliability between the two data collectors was high

Step-by-step explanation:

Explanation-