Which choice is the appropriate simplified form and restriction for the variable? 3x^2+9x over x^2-2x-15

Answers

Answer 1
Answer: If you would like to know what is the appropriate simplified form and restriction for the variable, you can calculate this using the following steps:

(3x^2 + 9x) / ( x^2 - 2x - 15) = (3x * (x + 3)) / ((x - 5) * (x + 3)) = 3x / (x - 5)

The simplified form is 3x / (x - 5) and the restriction for the variable would be x  5 and x ≠ -3.
Answer 2
Answer: (3x^2 + 9x) / ( x^2 -2x -15)

Factor both polynomials

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

The simplified form is 3x/(x+5)

The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).


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Solve the polynomial inequality: 4x² + 19x - 5 ≤ 0

Answers

Answer:

4x² + 19x - 5 ≤ 0

4x²+20x-x-5≤ 0

per factorization :

4x(x+5)-1(x+5)≤0

(x+5)(4x-1)≤0

x+5≤0

x≤-5

x-4≤0

x≤4

x[-5, 1/4]

1. Classify the figure in as many ways as possible.rectangle; square; quadrilateral;
parallelogram; rhombus
rectangle; square; parallelogram
rhombus; quadrilateral; square
square; rectangle; quadrilateral

Answers

Answer:

(A)

Step-by-step explanation:

From the figure, we can see that all the sides of the given figure are congruent, all the four angles are right angled.

Thus, following the properties of quadrilateral,it has four sides (edges) , four vertices (corners)  and the interior angles that add to 360 degrees.

Thus, the given figure is a quadrilateral.

Following the properties of parallelogram, A parallelogram has opposite sides equal and also the opposite angles equal. In the given figure, opposite sides are equal and also the opposite angles are equal.

Thus, the given figure is parallelogram.

Following the properties of rectangle, A rectangle has four sides, all the angles are right angled and has opposite sides equal,the given figure satisfies these properties.

Thus, the given figure is rectangle.

Following the properties of square, A square has all the sides equal and all the angles are of 90°, the given figure satisfies these properties.

Thu, the given figure is square.

Following the properties of rhombus, A rhombus has four sides, all the angles are right angled and has opposite sides equal, the given figure satisfies these properties.

Thus, the given figure is rhombus.

Answer:

1. classify the figure in as many ways as possible

rectangle, square, quadrilateral, parallel, rhombus.

2. which statement is true

All rectangles are quadrilaterals.

3. Lucinda wants to build a square sandbox

arrange four equal-length sides so the diagonals are also equal lengths.

4. j and m are base angles of isosceles trapezoid jklm.

151 degrees

5. determine whether the statement below is always, sometimes, or never true.

Never true.

ASAP!!! if my grade is a 91% and i get a 74% what will my grade be

Answers

Answer:

70

Step-by-step explanation:

you will have an 82.5
:)

1:2 = 4:8 The product of both the means and the extremes is

2
4
8
16

Answers

Answer:

Cross Products Property of Proportions states that the product of the means is equal to the product of extremes.

i,e a : b : : c : d

Also, in the proportion the first (a) and the last terms(d) are called the extremes, whereas the second(b) and the third terms(c) are called the means.

Given the proportion:

1 : 2 = 4 : 8

First term = 1

Second term = 2

Third term = 4

Fourth term = 8

By definition;

The product of means = 1 * 8 = 8

The product of extremes =  2 * 4 = 8

Therefore, the product of both the means and the extremes is, 8

lets say you have x:y=z:t
the means are y and z
the extremes are x and t
we have
1:2=4:8
means=2 and 4
extrememes=1 and 8
product of means=2 times 4=8
the product of extremes=1 times 8=8

the answer is 8

If 4i(-3-yi)+7=27-12i,what is the value of y

Answers

4i(-3-yi)+7=27-12i\n -12i+4y+7=27-12i\n 4y=20\n y=5

Justine filled quart jars with 248 pints of juice. How many quart jars did Justine need?

Answers

124 quart jars.
2 pints are in a quart.
To have 248 pints of juice.
Take 248 divided 2 and that gets you 124 quart jars
124 jars   cuz 248=124