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3 years ago

Select the correct answer.

Mathematics

1 answer:

galina1969 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

(9 + 6i) - (1 + 3i) = 9 + 6i - 1 - 3i = (9 - 1) + (6i - 3i) = 8 + 3i

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If the surface area of a cube is increased by a factor of 2 (so that the new surface area is twice the size of the original surf

Mariana [72]

Answer:2.828

Step-by-step explanation:

Given

Surface area of a cube is increased by a factor of 2

Let the original surface area be A

such that new surface area is 2A

for volume we need to know new radius

$6(a')^2=2\times 6r^2$

where r'=new radius

r=original radius

$a'=\sqrt{2}a$

New volume(V') $=(a')^3=(\sqrt{2}a)^3$

$V'=2\sqrt{2}a^3$

Original volume $=a^3$

$\frac{V'}{V}=\frac{2\sqrt{2}a^3}{a^3}$

$V'=2\sqrt{2}V=2.828V$

8 0

3 years ago

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

jarptica [38.1K]

Answer:

The answer is the option B

It is wider and shifted $3$ units to the right

Step-by-step explanation:

we have

$f\left(x\right)=\left|x\right|$

The vertex of the function is the point $(0,0)$

$f\left(x\right)=0.1\left|x-3\right|$

The vertex of the function is the point $(3,0)$

The function $f\left(x\right)=0.1\left|x-3\right|$ is wider than the function $f\left(x\right)=\left|x\right|$

Because it is multiplied by a number less than $1$

The rule of the translation is

$(0,0)-------> (3,0)$

$(x,y)-------> (x+3,y)$

That means

The translation is $3$ units to the right

see the attached figure to better understand the problem

8 0

3 years ago

Read 2 more answers

Which of the points A(5, −3),B(−2, 4), C(0, 0),D(2, 1), E(−5, 2.5) belong to the graph of y= 1 2 x?

ohaa [14]

Answer:

the slope makes no sense

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

F(x) = (x - 2)²(x+1)

Inessa [10]

(x - 2)²(x+1)

(x-2)(x-2)

multiply the two brackets together

(x)(x)=x^2

(x)(-2)=-2x

(-2)(x)=-2x

(-2)(-2)=4

x^2-2x-2x+4

x^2-4x+4

(x^2-4x+4)(x+1)

multiply the brackets together

(x^2)(x)=x^3

(x^2)(1)=x^2

(-4x)(x)=-4x^2

(-4x)(1)=-4x

(4)(1)=4

x^3+x^2-4x^2-4x+4x+4

Answer:

x^3-3x^2+4

5 0

3 years ago

Jean needs to rent a car for an upcoming buiness trip. The cost per day for the car is $30, and the one-time-refueling cost upon

IrinaVladis [17]

Answer:

C = 50 + 30d

Step-by-step explanation:

For one day,

50 + 30

For two days

50 + 2(30)

For d days,

50 + d(30)

C = 50 + 30d

8 0

3 years ago