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3 years ago

Use synthetic division to find (x^2+3x–4)÷(x+4)

Mathematics

2 answers:

Jobisdone [24]3 years ago

7 0

Answer:

X^2-x- 8/x+4

Step-by-step explanation:

X+4 becomes a negative 4

Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.

grigory [225]3 years ago

3 0

X-1 is going to be the answer

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A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cups.

iragen [17]

Answer:

5/2 = 2 1/2

15/4 = 3 3/4

33 /8 = 4 1/8

Step-by-step explanation:

5/2 2 goes into 5 2 times with 1 left over = 2 1/2

15 /4 4 goes into 15 3 times with 3 left over 3 3/4

33/8 8 goes into 33 4 times with 1 left over 4 1/8

5 0

3 years ago

The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.

Verdich [7]

Answer:

10.4 to nearest tenth.

Step-by-step explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.

Altitude of each triangle = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

6 0

3 years ago

Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and

nexus9112 [7]

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

8 0

3 years ago

Order the rational numbers in each group from least to greatest.<br>0.55, 3/5 , 2/3

Lera25 [3.4K]

Answer:

0.55

3/5= .6

2/3= .66

Step-by-step explanation:

0.55

3/5= .6

2/3= .66

5 0

3 years ago

Read 2 more answers

I NEED HELP WITH THIS PLEASE HELP ME

vekshin1

Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

I will denote "y" as the total for his bill
I will denote "x" as the number of minutes Frank uses

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

y = 0.06x + 8 → y - 8 = 0.06x → $x=\frac{y-8}{0.06}$
Then plugging in our y value we get $x=\frac{17.36-8}{0.06}=\frac{9.36}{0.06}= 156$

Frank used up a total of 156 minutes

3 0

3 years ago