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2 years ago

Substracting 3x2+4x from 7x2+x+9 results in a polynomial. After subtracting 4x2-3x from this polynomial, the difference is ?

Mathematics

1 answer:

BaLLatris [955]2 years ago

3 0

Answer:

Step-by-step explanation:

So first step is to subtract $3x^2+4x$ from $7x^2+x+9$ . In setting this up you get the following expression

$(7x^2+x+9)-(3x^2+4x)$

Distribute the negative

$7x^2+x+9-3x^2-4x$

Group like terms

$(7x^2-3x^2)+(x-4x)+9$

Simplify:

$4x^2-3x+9$

Now subtract $4x^2-3x$ . In setting this up you get the following expression

$(4x^2-3x+9)-(4x^2-3x)$

Distribute the negative:

$4x^2-3x+9-4x^2+3x$

Group like terms

$(4x^2-4x^2) + (-3x+3x) + 9$

Simplify:

$9$

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Marcellus has a pitcher that contained 5/8 gallon limeade. Marcellus drank 1/4 gallon of the limeade, and Marcy drank 1/8 gallon

mash [69]

Answer:

2/5

Step-by-step explanation:

Given Marcellus drank 1/4 gallon of the limeade and Marcy drank 1/8 gallon of the limeade

Given that only 5/8 portion of the pitcher contains limeade

Total amount drunk = amount drunk by Marcellus + amount drunk by Marcy

Total amount drunk = $\frac{1}{4} +\frac{1}{8}$ = $\frac{3}{8}$

The amount of Limeade remained = The amount initially - the amount drunk

The amount remained = $\frac{5}{8} -\frac{3}{8}$ = $\frac{1}{4}$

Fractional part = amount remained / amount initially = $\frac{\frac{1}{4} }{\frac{5}{8} }$ = $\frac{2}{5}$

8 0

3 years ago

FILL IN THE BLANK

Oksana_A [137]

Answer:

1: Sides

2: like terms

Step-by-step explanation:

3 0

3 years ago

Joe has saved $50. He wants to

denis23 [38]

Answer: Yes, because he will be spending a total of $39 dollars.

Step-by-step explanation

$13 + $13 + $13 = $39

5 0

3 years ago

Read 2 more answers

Pls help need this ASAP !

elena-s [515]

A function is a relationship that each input (element of the domain) is paired with exactly one output (element in the range).

In function notation, f(x), the “x” is the input and the entire “f(x)” represents an output.
That means the last two options are wrong. They’re purposely switched up in what they say.

The correct answer is the second one, because that one is saying “each input will be paired with exactly one output.”

4 0

3 years ago

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed

Lerok [7]

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

$S=180(n-2)$

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

$S=180(n-2)$

$S=180(6-2)\\\\S=180(4)\\\\S = 720$

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

$S=180(n-2)$

$S=180(5-2)\\\\S=180(3)\\\\S=540$

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

6 0

3 years ago