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3 years ago

Divide (x3 + 3x2 + 16x + 48) by (x + 3)

Mathematics

1 answer:

Karolina [17]3 years ago

6 0

Answer:

D) x² + 16

A) x − 2

Step-by-step explanation:

(x³ + 3x² + 16x + 48) / (x + 3)

Use grouping:

(x² (x + 3) + 16 (x + 3)) / (x + 3)

Divide:

x² + 16

(x² + x − 6) / (x + 3)

Factor:

(x + 3) (x − 2) / (x + 3)

Divide:

x − 2

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andrew11 [14]

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Remember 1% is 1/100 of a number

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3 years ago

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nignag [31]

Answer:

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Step-by-step explanation:

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3 years ago

Please help!!!!!!!!!!!!!!!!

____ [38]

Answer:

(i) x° = 28°

(ii) y° = 104°

(iii) z° = 76°

Step-by-step explanation:

x° is an alternate interior angle where transversal PQ crosses the parallel lines, so it has the same measure as the one marked 28°.

x° = 28°

The base angles of isosceles triangle PQR are both z°, so we must have ...

z° +z° +28° = 180° . . . . . . . . . sum of angles in a triangle

z° = (180° -28°)/2 = 152°/2 . . . solve for z

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y° and z° are a linear pair, so ...

y° = 180° -76°

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5 0

2 years ago

How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

• The linear equation does not have a y-intercept

• The table and the grahp express an equivalent function

8 0

1 year ago

tommy is drawing a triangle with angles measuring 41 degrees and 123 degrees and the included side measures 6 centimeters what i

pishuonlain [190]

Since all triangles r equal to 180°
123+41= 164
180-164=16

the measure of the third angle of the triangle is 16°

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4 years ago