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luda_lava [24]
3 years ago
10

4. Write the quadratic equation in standard form.

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

i think it on of these C. y = 2x2 - 6x + 80

D. y = 2x2 + 6x - 80

Step-by-step explanation:

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Laura is training for a triathlon. One of her workouts requires her to do 3 rounds of each of the
Vanyuwa [196]

Step-by-step explanation:

<h2><em><u>This triathlon distance requires a 2.4 mile swim (3.9K), 112 mile bike (180.2K), and 26.2 mile run (42.2K). Depending on your fitness level, course conditions, and the weather on race day, you can expect to complete these three legs in about 10 to 17 hours.</u></em></h2>
3 0
2 years ago
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What is the area, in square inches, of the isosceles trapezoid below?
zimovet [89]

Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

      Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

6 0
3 years ago
Expand quadratic equation (2x-3)(x+4) = 0​
OleMash [197]

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

6 0
3 years ago
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A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce
castortr0y [4]

Answer:

x + 2y ≤ 100 and x + 3y ≤ 400

Maximum profit = 6x + 5y.

Step-by-step explanation:

Let there be x number of small dishes and y number of large dishes to maximize the profit.

So, total profit is P = 6x + 5y .......... (1)

Now, the small dish uses 1 cup of sauce and 1 cup of cheese and the large dish uses 2 cups of sauce and 3 cups of cheese.

So, as per given conditions,  

x + 2y ≤ 100 ........ (1) and  

x + 3y ≤ 400 .......... (2)

Therefore, those are the constraints for the problem. (Answer)

4 0
3 years ago
Draw the preimage of a triangle with coordinates T(2,1), U(0,-1) and V,(3,-3). Then use the following coordinates plane to compl
alekssr [168]
I don’t even know the answer sorry
3 0
3 years ago
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