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2 years ago

(x3 + 2x² – 46x + 19) = (x + 8) Synthetic division

Mathematics

1 answer:

joja [24]2 years ago

4 0

Answer:

factor and set each factor equal to zero.

x ≈ − 8.02641268 , 0.23670905 , 5.78970363

Step-by-step explanation:

aight, this is my best shot. hope this helps

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X/3-15=-2 solve for x

Otrada [13]

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step 1 : Simplify

$\frac{x}{3}$

Equation at the end of step 1 :

$\frac{x}{3}$ - 15 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

$15=\frac{15}{1} =\frac{15*3}{3}$

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

$\frac{x-(15*3)}{3} =\frac{x-45}{3}$

Equation at the end of step 2 :

$\frac{x-45}{3} =0$

Step 3 :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

$\frac{x-45}{3}*3=0*3$

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-45 = 0

Solving a Single Variable Equation :

Solve : x-45 = 0

Add 45 to both sides of the equation :

x = 45

One solution was found :

x = 45

3 0

3 years ago

Rule:start at 3 1/8 subtract 3/4

SSSSS [86.1K]

Answer:

2 3/8

Step-by-step explanation:

If what you're saying it 3 1/8 - 3/4 then...

3 1/8 - 3/4

3 1/8 - 6/8

25/8 - 6/8

19/8

2 3/8

6 0

3 years ago

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are

Katarina [22]

Answer: Area = 6m²

Smaller number = 16

Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m 2) w = x + 1 m

l = x + 5 m l = x + 5 - 2 = x + 3 m

A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2

A₁ = A₂

x² + 5x = x² + 3x + 2

5x - 3x = 2

2x = 2

x = 1

A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

2 = x

5 40

5x = 80

x = 80/5 = 16

Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers hours

16 3

5 x

↑ ↓ inversely proportional

5 = 3

16 x

5x = 16*3

5x = 48

x = 48/5

x = 9.6 h

6 0

3 years ago

The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the y-intercept, (0, 62), a

kotegsom [21]

Answer:

y = 3x + 62

Step-by-step explanation:

Trend line equation in the form :

y = mx + b

m = slope

b = intercept

Using the points :

(0, 62) ; (6, 80)

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0

m = (80 - 62) / (6 - 0)

m = 18 / 6

m = 3

Intercept, b = value of y when x = 0

(0, 62) ; hence, b = 62

y = 3x + b

y = 3x + 62

3 0

2 years ago

What is 6w =30;5,6,7 how is it to be solved?

Gennadij [26K]

6w=30; divide 30 by 6 to the w by itself; the answer is 5

3 0

2 years ago

(x3 + 2x² – 46x + 19) = (x + 8) Synthetic division￼

(x3 + 2x² – 46x + 19) = (x + 8) Synthetic division