What factors of 54 have the sum of -15

a y no eso s i gamas

e s k i u s m i atrapada

√5(√10 + √3) = √(5 · 10) + √(5 · 3) =

= √50 + √15 = √(25 · 2) + √15 =

= √(5² · 2) + √15 = 5√2 + √15 ← the end

Answer: C

Step-by-step explanation:

3x-3 ≥ 0 ==> x ≥ 1

3x+6 ≥ 0 ==> x ≥ -2

So: condition x ≥ 1

[tex]\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\[/tex]

Answer:

[tex] {(a + b)}^{2} - {(a - b) }^{2} \\ = 1[/tex]

In algebra 0 is written as 1 according to rule.

Answer:

Rational

Step-by-step explanationRational interger:

Answer:

Given:

Evaluate each value:

A)

B)

C)

D)

E)

sorry if is wrong,..........;

Answer:

[tex]x^2-6x+9[/tex]

Step-by-step explanation:

Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.

Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].

Hope this helps!

Answer:

24 meters squared

Step-by-step explanation:

2 + 1 + 1 = 4

5 x 4 = 20

(2 x 1) x 2 = (2) x 2 = 4

20 + 4 = 24 meters squared

Answer:

h(x) = x - 3

g(x) = -2x2 + 4x

Find h (x) · g(x)

-3x^4 + 9x^3 - x + 3

-2x^3 + 10x^2 - 12x

2x^3 + 10x^2 + 12x

x^4 + 6x^3 + 8x^2

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

    f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{(9 - r)(2 - 3r)}[/tex]

[tex]\textsf{= 9(2) + 9(-3r) + 2(-r) + (-r)(-3r)}[/tex]

[tex]\mathsf{= 18 - 27r - 2r + 3r^2}[/tex]

[tex]\mathsf{= 3r^2 + 18 - 27r - 2r}[/tex]

[tex]\boxed{\large\text{COMBINE the LIKE TERMS}}[/tex]

[tex]\mathsf{= 3r^2 + 18 + (-27r - 2r)}[/tex]

[tex]\mathsf{= 3r^2 + 18 - 29r}[/tex]

[tex]\mathsf{= 3r^2 - 29r + 18}[/tex]

[tex]\boxed{\large\textsf{Therefore, your answer is: \large\boxed{\mathsf{3r^2 - 29r + 18}}}}\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

We will find that the probability that exactly one is original (or that exactly two are fakes) is 0.038

We know that 12% of the paintings are replicas.

Then if we see a random painting, the probability that it is a replica is 0.12

This means that the probability that a random painting is not a replica, is 1 - 0.12 = 0.88

Now we want to find the probability that exactly two out of 3 paintings are fake.

An easier thing to find is the probability that exactly one of the paintings is original (is exactly the same thing, just another viewpoint).

Let's assume the paintings are ordered, and the first one is the original one.

The probability of this will be:

P = 0.88*0.12*0.12

But we also have the case where the second one is the original, and the case where the third one is the original, so we have 3 possible permutations.

This means that the probability that exactly one is original (or that exactly two are fakes) is:

P = 3*(0.88*0.12*0.12) = 0.038

If you want to learn more, you can read:

https://brainly.com/question/9793303

Answer:

A rational number

Step-by-step explanation:

Answer:

Decimal number

Step-by-step explanation:

Converting to fraction

[tex]\\ \sf\longmapsto 28.8[/tex]

[tex]\\ \sf\longmapsto \dfrac{288}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{144}{5}[/tex]

[tex]\\ \sf\longmapsto 28\dfrac{4}{5}[/tex]

your answer is 1/36 because if you spin once it would be 1/18 and if spin x2 the answer would be 1/36

Answer: Prime

A polynomial is  prime    if its only factors over the integers are 1 and itself.

==============================================================

Explanation:

Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.

Something like 7 is prime because the only factors are 1 and itself.

This idea extends into polynomials as well.

Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.

Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.

Respuesta 1

Answer:

x+5=14

x=14-5

x=9

Respuesta 2

Answer:

x-5=10

x=10+5

x=15

Respuesta 3

Answer:

2x+1=15

2x=15-1

2x=14

2x/2=14/2

x=7

Respuesta 4

Answer:

3x-1=8

3x=8+1

3x=9

3x/3=9/3

x=9

Answer:

10x+5h-1

Step-by-step explanation:

Find f ( x + h) and f  (x), and plug these values  into difference quotient formula.

Answer:

10x + 5h − 1

Step-by-step explanation:

10x + 5h − 1

Step-by-step explanation:

steps are in the picture above.

Answer:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

a = 5

b = 2

Given expression

-2ab

Substitute values into the expression

-2 (5) (2)

Simplify by multiplication

=-10 (2)

=[tex]\boxed{-20}[/tex]

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

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

Given information

a = 5

b = 2

Given expression

-3a + b

Substitute values into the expression

-3 (5) + (2)

SImplify by multiplication

=-15 + (2)

Simplify by addition

=[tex]\boxed{-13}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1,2 and 4 are equivalents. 3 is not equivalent

2P-I, mark that one :l

Step-by-step explanation:

Answer:

(Note:92000 is a five digit number, so it cannot be the answer)

b) 9261

It is the cube of 21(largest among the four digit numbers in the question)

It is a four digit numbner.

Answer:

[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]

Step-by-step explanation:

[tex]550/1000000=55/100000[/tex]          | Take one 0 from each side of the divider

Now that it's simplified, we can more easily solve the problem:

[tex]55/100000=5.5*10^{-4}[/tex]

We can also write this as a fraction or a decimal:

[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]

Answer:

x + x^2 = y*z

Step-by-step explanation:

equation: x+ x^2 = y*z

The sentence is converted into an equation or formula that will be x + x² = yz.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Translate the sentence into an equation or formula. The sum of x and its square is equal to y times z.

The square of the number x will be x². And the product of the numbers y and z will be yz. Then the equation will be

x + x² = yz

The sentence is converted into an equation or formula that will be x + x² = yz.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Step-by-step explanation:

here,

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

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

[tex] \sqrt{x + 4} = 4[/tex]

[tex]x + 4 = (4) ^{2} [/tex]

[tex]x + 4 = 16[/tex]

x=16-4

x=12