MATHEMATICS HIGH SCHOOL

X + 27 = 93
what does x =​

Answers

Answer 1
Answer:

Answer:

x=66

hope this helped :)
Answer 2
Answer: So if x + 27 = 93 just subtract 93 from 27 and you will get 76 which is x

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Which equation could represent the line of best fit for the given data set?​

Answers

Answer:

It might be b i have no clue so dont exactly trust my awnser.

Step-by-step explanation:

I am taking the test right now and am also confused .

Function f(x) = ax^{2}+bx+c, where a, b, and c are some constants. Define functions g and h as follows:g(x) = f(x+ 1)−f(x)
h(x) = g(x+ 1)−g(x)
Find algebraic form of h(x)
Can anyone explain how to make it step by step?

Answers

g(x) = f(x+1) - f(x)
=[ a(x+1)^2+b(x+1)+c ] - [ax^2+bx+c]
=[ a(x^2+2x+1) +bx + b + c ] - [ax^2 + bx + c]
=[ ax^2 + 2ax + a + bx + b + c ] - [ax^2 + bx + c]
= ax^2 + 2ax + a + bx + b + c - ax^2 - bx - c
= 2ax + a + b
Therefore g(x) = 2ax + a + b
h(x) = g(x+1) - g(x)
=2a (x+1) + a + b - [2ax+a+b]
=2ax + 1 + a +b - 2ax - a - b
Therefore h(x) = 1

The expression 15x + 10 is equivalent to ____.5(3x + 5)
3(5x + 10)
5(3x + 2)

Answers

Answer:

The expression 15x + 10 is equivalent to  5(3x+2)

Step-by-step explanation:

Hello, I think I can help you with this

factorize a polynomial is to break it down into two or more polynomials called factors, so that, by multiplying them, you get the original polynomial

step one

The expression 15x + 10 must be factorized, the common term between 15 and 10 is 5,

take\ each\ term\ and\ divide\ by\ the\ common\ factor\n\n15x+10= 5 ( (15x)/(5) +(10)/(5) )\n15x+10=5(3x+2)\n

so , the answer is  5(3x+2)

Do not hesitate to ask me any questions you have,Have a fantastic day

Answer:

5(3X+2)

Step-by-step explanation:

( 4,?)Is on the line y=2×+3. find the other half of the coordinate

Answers

(4, ?).      Let ? = b

(4, b) on line y = 2x + 3

x =4, y = b.        

y = 2x + 3

b = 2*4 + 3

b = 8 + 3

b = 11.

The other half of coordinate is 11.
You do y=2x(4)+3
that equals 11 
so the coordinate is (4,11)

Will an object with a density of. 97 g/ml float or sink in water explain

Answers

I would say the object will float because the density of water is 999.99kg/m which is slightly less than 1g but still more than the object.

Graph the equation. y-4=1/4(x-1)²

Answers

y-4=1/4*(x-1)²
y=1/4(x-1)²+4
the parabola y=1/4x2 with vertex at the point (1;4),the branches up,x=1 is the axis of symmetry intersects the axis of the OY at the point (0;4 1/4)
y - 4 = ¹/₄(x - 1)²
y - 4 = ¹/₄(x - 1)(x - 1)
y - 4 = ¹/₄(x² - x - x + 1)
y - 4 = ¹/₄(x² - 2x + 1)
y - 4 = ¹/₄(x²) - ¹/₄(2x) + ¹/₄(1)
y - 4 = ¹/₄x² - ¹/₂x + ¹/₄
  + 4                     + 4  
     y = ¹/₄x² - ¹/₂x + 4¹/₄
¹/₄x² - ¹/₄x + 4¹/₄ = 0
x = -(-¹/₄) +/- √(-¹/₄)² - 4(¹/₄)(4¹/₄))
                         2(¹/₄)
x = ¹/₄ +/- √(¹/₁₆ - 4¹/₄)
                  ¹/₂
x = ¹/₄ +/- √(4³/₁₆)
               ¹/₂
x = ¹/₄ +/- 2.046
             ¹/₂
x = ¹/₂ + 4.092
x = ¹/₂ + 4.092  x = ¹/₂ - 4.092
x = 4.592          x = 3.592
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