Simplify: (x2 − 8x + 5) + (−3x2 + 5x − 9)

Mathematics

2 answers:

Nana76 [90]2 years ago

7 0

<span>−2x2 − 3x − 4 is your answer hope this helps</span>

Paladinen [302]2 years ago

4 0

Answer:

$-2x^2-3x-4$

Step-by-step explanation:

We have to simplify the expression $(x^2-8x+5)+(-3x^2+5x-9)$

Distribute the positive sign over the parenthesis

$x^2-8x+5-3x^2+5x-9$

Combine the like terms

$-2x^2-3x-4$

Therefore, the expression after simplification is $-2x^2-3x-4$

Second option is correct.

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Im in summer school and i need to pass this please help me

andreev551 [17]

g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

<h3>Which statement compares the graph of the two functions?</h3>

First, a vertical shift of N units is written as:

g(x) = f(x) + N

if N > 0 the shift is upwards.
If N < 0 the shift is downwards.

A horizontal shift of N units is written as:

g(x) = f(x + N).

if N < 0, the shift is to the right.
If N > 0, the shift is to the left.

In this case, we have:

g(x) = f(x + 8) + 4

So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

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1 year ago

A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length

Soloha48 [4]

Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm²
a = 169.74cm

The height of the tent is 169.74 centimeters.