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3 years ago

The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism.

Mathematics

1 answer:

Marrrta [24]3 years ago

8 0

Answer:

Me too, I need this 12

Step-by-step explanation:

Ughh

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Which expression is a factor of 10 x 2 + 11 x + 3

Eduardwww [97]

Answer: the two factors are (5x + 3) and (2x + 1)

Explanation:

I will find the two factors of 10x² + 11x + 3.

You can use either the quadratic formula of factor.

I will use the quadratic formula:

1)

$x= \frac{b^2 +/- \sqrt{b^2-4ac} }{2a}$

$x= \frac{-11+/- \sqrt{11^2-4(10)(3)} }{(2)(10)}$

x = -3/5 and x = -1/2

2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0

Simplify them.

3) x - (-3/5) = 0

5x + 3 = 0

4) x - (-1/2) = 0

2x + 1 = 0

5) Then the two factors are: (5x + 3) and (2x + 1).

6) verify:

(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.

7 0

3 years ago

Help

faust18 [17]

Answer:

y - 6 = (-1/2)(x - 4)

Step-by-step explanation:

As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4. Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.

The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.

Using the point-slope formula, we get the following equation for the perpendicular line:

y - 6 = (-1/2)(x - 4) ( obtained using the point (4, 6) )

3 0

3 years ago

PLEASE HELP ME ASAP! Giving brainliest<br> SHOW YOUR WORK FOR BOTH QUESTIONS

EleoNora [17]

Answer:

The Proof for question no 20 and 21 are below.

Step-by-step explanation:

20.

Given:

∠PTR≅∠RSP

PT ≅ RS

To Prove:

ΔPQT ≅ ΔRQS

Proof:

In ΔPQT and ΔRQS

Statements Reasons

1. ∠PTR ≅ ∠RSP 1 .Given

2. ∠PQT ≅ ∠ROS 2. Vertical Opposite Angle Theorem.

3. PT ≅ RS 3. Given

4. ΔPQT ≅ ΔRQS 4. By A-A-S Congruence Postulate ....Proved

21.

Given:

PO ≅ SO

O is the Mid Point of NT

To Prove:

∠N ≅ ∠T

Proof:

In ΔPON and ΔSOT

Statements Reasons

1. PO ≅ S O 1 .Given

2. ∠PON ≅ ∠SOT 2. Vertical Opposite Angle Theorem.

3. NO ≅ TO 3. O is the Mid Point of NT

4. ΔPON ≅ ΔSOT 4. By S-A-S Congruence Postulate

5. ∠N ≅ ∠T 5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved

3 0

3 years ago

I need help please.

Westkost [7]

Answer:

A) 2.5

Step-by-step explanation:

$6(2y - 1)-2(4y)=4 \\ 12y - 6 - 8y = 4 \\ 12y - 8y = 4 + 6 \\ 4y = 10 \\ y = \frac{10}{4} \\ y = 2.5$

7 0

3 years ago

Please help me with my math

boyakko [2]

Answer:

x = 115

z = 27

Step-by-step explanation:

x + 65 = 180 (same side interior angles)

x = 115

x = 3z +34 (alternate interior angles)

115 = 3z + 34

3z = 81

z = 27

5 0

3 years ago

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