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Ganezh [65]
3 years ago
11

Write a two step equation involving division and addition that has a solution of x = 25

Mathematics
1 answer:
White raven [17]3 years ago
4 0
5x+10=25
5 divides into all the number to simplify to 3 plug in 3 into the x value then to multiply 5 and 3 which is 15 than add to to equal 25
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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
Taking color into account, does the shape have rotational symmetry? If so, what is the angle of rotation, rounded to the nearest
kolbaska11 [484]
There are 6 identical and symmetrical shapes if colors are ignored.
Because color is taken into account, each shape (with a distinct color) can be rotated into itself about the center of the figure through an angle of 360°.

Answer:
The shape has rotational symmetry.
The angle of rotation, taking color into account, is 360°.
7 0
3 years ago
PLZZZZZZZZZZZZZZZZ HELP ME i begging YOUUUUU !!!!!!!!!!!!!!!!!!!!!!!!!!!
pantera1 [17]

Answer:

-11/20

Step-by-step explanation:

    2      8   1

 (0-— ÷ (0-—))+—

    3      9   5

           8

Simplify   —

           8/9

2         8     1

 (0 -  — ÷ (0 -  —)) + —

       3         9     5

Simplify   —

           2/3

2   -8     1

 (0 -  — ÷ ——) +  —

       3   9      5

2      -8

Divide  —  by  ——

        3      9

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

2     -8       2      9

—  ÷  ——   =   —  •  ——

3     9        3     -8

(0--3/4)+1/5

Least Common Multiple:

     20

Left_M = L.C.M / L_Deno = 5

Right_M = L.C.M / R_Deno = 4

      3 • 5 + 4                 -11

—————————  =  ———

      20                            20

-11/20

3 0
3 years ago
Read 2 more answers
Solve: -19 = X - 19 halppppp
Juliette [100K]

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

-19 = x - 19

Step 2: Solve for <em>x</em>

  1. Add 19 to both sides: 0 = x
  2. Rewrite: x = 0

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-19 = 0 - 19

-19 = -19

3 0
3 years ago
Read 2 more answers
ASAP<br> Can someone please helppp
vfiekz [6]

Answer:

Option 4

Step-by-step explanation:

4 0
3 years ago
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