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3 years ago

( - 4b^3–7b^2+5b–2)+( - 6b^3+3b^2+8b–6)

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

The answer is -2b^3 -4b^2 + 13b - 8. Hope I was able to help

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What's the following rotational symmetries of oranges regular hexagon

Semmy [17]

Answer:

rotational symmetry of 60 degrees around the origin - yes

rotational symmetry of 120 degrees around the origin - yes

Step-by-step explanation:

A regular hexagon has 6 congruent angles

the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.

The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6

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3 years ago

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3 years ago

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After 1 year, the value of a car decreases by 19%. The car is now worth £3078. What was the value of the car originally?

Paha777 [63]

Answer:

3800

Step-by-step explanation:

Variables:

O - Original cost

N - New cost

c - change factor

Step 1:

Recognize that if something decreases by 19%, it is worth 19% <em>less</em>

This means that the new price, fractionally, is 100% - 19% = 81%

So we can use c as 0.81 (81/100)

Step 2:

Write an equation to represent what is happening

N = O * c

Step 3:

Sub in what we know

3078 = O * 0.81

Step 4:

Rearange and solve

O = 3078 / 0.81 = 3800

5 0

3 years ago

find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0

3 years ago

Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n

lana66690 [7]

Answer:

$x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7$

Δn=3

Step-by-step explanation:

Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.

We have the interval [-5,7]. The distance between the endpoints of the interval is

$d=7-(-5)=12$ .

Now, we divide d by 4 and obtain $\frac{d}{4}=\frac{12}{4}=3$

Then, Δn=3.

Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

$-5=x_0\\x_0+3=-5+3=-2=x_1\\x_1+3=1=x_2\\x_2+3=4=x_3\\x_3+3=7=x_4$

So,

$x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7$

5 0

4 years ago