Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte make? he did not apply the distributive property correctly for 4(1 3i). he did not distribute the subtraction sign correctly for 8 – 5i. he added the real number and coefficient of i in 4(1 3i). he added the two complex numbers instead of subtracted.

Answer:

((√x) - 1 )/-2 = y (3rd answer)

Step-by-step explanation:

Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.

Answer:

-×-=+

49×3

147

Step-by-step explanation:

please mark me as brainlest

Answer:

a

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

then the discriminant

Δ = b² - 4ac

• if b² - 4ac > 0 then 2 real solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

given

[tex]\frac{3}{4}[/tex] x² - 3x = - 4 ( add 4 to both sides )

[tex]\frac{3}{4}[/tex] x² - 3x + 4 = 0 ← in standard form

with a = [tex]\frac{3}{4}[/tex] b = - 3 , c = 4

then

b² - 4ac = (- 3)² - ( 4 × [tex]\frac{3}{4}[/tex] × 4) = 9 - 12 = - 3

since b² - 4ac < 0 then equation has no real solutions

Answer:

a.  -3; no real solutions.

Step-by-step explanation:

Discriminant

[tex]\boxed{b^2-4ac }\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{When }\:b^2-4ac > 0 \implies \textsf{two real solutions}.[/tex]

[tex]\textsf{When }\:b^2-4ac=0 \implies \textsf{one real solution}.[/tex]

[tex]\textsf{When }\:b^2-4ac < 0 \implies \textsf{no real solutions}.[/tex]

Given equation:

[tex]\dfrac{3}{4}x^2-3x=-4[/tex]

Add 4 to both sides of the equation so that it is in standard form:

[tex]\implies \dfrac{3}{4}x^2-3x+4=-4+4[/tex]

[tex]\implies \dfrac{3}{4}x^2-3x+4=0[/tex]

Therefore, the variables are:

[tex]a=\dfrac{3}{4}, \quad b=-3, \quad c=4[/tex]

Substitute these values into the discriminant formula to find the value of the discriminant:

[tex]\begin{aligned}\implies b^2-4ac&=(-3)^2-4\left(\dfrac{3}{4}\right)(4)\\&=9-(3)(4)\\&=9-12\\&=-3\\\end{aligned}[/tex]

Therefore, as -3 < 0, the discriminant is less than zero.

This means there are no real solutions.

Answer:

D(1,12)

Step-by-step explanation:

See attached graph.

Answer:

56

Step-by-step explanation:

you first had to get the marked price so t you can get the profit.

just as illustrated in the picture above.

Answer:

[tex]m=4\sqrt{6}[/tex]

Step-by-step explanation:

Step-by-step explanation:

first find the relation between n,m and x

Volume = PI x r*2 x h/3

r = radius which is shown as 8

h is the height which is shown as 63

Volume = 3.14 x 8^2 x 63/3

Volume = 3.14 x 64 x 21

Volume = 4,220.16 cubic units.

The area of a regular octagon with an apothem of 2 cm is 3cm ^2.

The area of a regular octagon with an apothem of 2 cm.

Given the apothem length,

the area of a regular polygon becomes,

[tex]A=\frac{1}{2}\times P\times A[/tex]

P=  the perimeter of the regular polygon

A is the apothem of the regular polygon

Here, we get

p=2=2cm, a=3cm.

So, plugging in the given values, we get

[tex]A=\frac{1}{2} \times 2cm\times 3cm[/tex]

A=1cm⋅3cm

A=3cm^2

Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.

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A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.

Variables are generally alphabets that are used to denote the unknown values in any process or equation.

If Jack is x years old

Todd is y years old

Todd is 3 years older than his brother Jack.

a rule that relates their ages over time is given by

y = x+3

When Jack is 28 years old

Todd will be

y = 28+3

y = 31 years

Therefore Todd will be 31 years old.

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The required correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Since both graphs have the same shape, the red graph is a transformation of the blue graph.

When we compare the two graphs, we can see that the red graph is shifted horizontally to the left by 5 units. This means that the equation of the red graph must involve the term "x+5" or "x-5" in some way.

Also, we can see that the red graph intersects the y-axis at the point (0, 5). This means that the equation of the red graph must involve the term "+5" in some way.

The correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units. When we plot this equation, we get a graph that has the same shape as f(x) = |x|, but is shifted to the left and intersects the y-axis at (0, 5).

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Answer:

x = 45 degrees

Step-by-step explanation:

Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:

3x = x + 90
2x = 90
x = 45

The sum of the measures of all the interior angles of the pentagon is 540°. Option B

Note that

Sum of Interior Angles in a Pentagon = 540°

A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°

If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°

The sum of the interior angles = 108° + 216° = 540°

Therefore, the sum of the measures of all the interior angles of the pentagon is 540°

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An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,

x + y = 45

x = 45 - y

Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,

8x + 11y = 435

8(45 - y) + 11y = 435

360 - 8y + 11y = 435

3y = 75

y = 25

Substitute the value of y in the first equation,

x + y = 45

x + 25 = 45

x = 20

Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

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Answer:

15 bags

Step-by-step explanation:

3 = 12/4

3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4

(15/4) ÷ (1/4) = 15

Answer:

11.2 km/hr

Step-by-step explanation:

Shea's speed: 48km/1.25hr=38.4 km/hr

Chris's speed: 62km/1.25hr= 49.6 km/hr

Vav= 49.6-38.4= 11.2 km/hr

Answer:

[0, ∞)

(all real numbers greater than or equal to 0)

Explanation:

the domain of a function is all possible x-values (and the range is all possible y-values)

We know that you cannot have a negative square root, so all negative x-values are not possible--only values 0 to infinity.

So the domain of this function is [0, ∞).

{ [brackets] in math mean the number is included, (parentheses) in math means the number is not included.}

All [real] numbers ≥ 0

is the domain of y=√x

(written as: all real numbers greater than or equal to 0)

Answer:

y = 20 , x = 30

Step-by-step explanation:

they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).

So y = 20

And x = 30

Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

Answer:

2 units

Step-by-step explanation:

From one crest (high point) to the next crest  point is one period....

  this covers 2 units on this graph

Answer:

nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls

total number on rolls on nr.3 and nr.4= 99

Step-by-step explanation:

Calculate the probability for nr.3

Always try to get 100%

1=13%

2=5%

3=?

4=21%

5=19%

6=30%

Add all the percentage

1+2+4+5+6= 88%

now calculate the percentage for nr.3

100%-88%=12%

give a estimated total number of times the dice will land on nr.3 or nr.4 after 300 rolls

nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls

total number on rolls on nr.3 and nr.4= 99

Answer:

The correct answer is if you want no roots in the denominator, the correct answer is [tex]\frac{2x}{y}[/tex]* [tex]\sqrt[3]{2y^{2} }[/tex]

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when [tex]y^{2}[/tex] is taken out.

An augmented matrix is invertible if the linear system has a unique solution.

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

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Answer: No. The intervals defined by the margin or error overlap

Step-by-step explanation:

If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap

Answer:

[tex]\boxed {24 cm^{2}}[/tex]

Step-by-step explanation:

Finding the smaller side :

⇒ P = 2(l + w)

⇒ 20 = 2(6 + w)

⇒ 6 + w = 10

⇒ w = 4 cm

Finding area :

⇒ 6 × 4

⇒ 24 cm²

#1

As d is days

So days can't be negative

hence domain is W or Whole numbers set.

But according to the equation

Round to next whole as it's no of days

d=2

Domain=[2,oo)

#b

Put d=0

f(0)

It passes through (0,7)

But 0 is not in domain ,hence no y intercept in real

#C

f(11)

f(4)

Rate of change

It represents change in radius

Answer:

35 Floors in 6 Hours

Step-by-step explanation:

20 / 4 = X Floors Per Hour

floors per hour = 5

6*5 = 35 Floors

These thoughts show you that AAS theorem is straight extension of ASA theorem.

A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.

ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Consider two triangles ΔABC and ΔA'B'C' .

If        m∠A = m∠A'

and   m∠B = m∠B'

         AB = A'B'

then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.

Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.

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Answer:  The Sample Response is the answer Edge uses as a correct answer. Answer varies depending on your response.

Step-by-step explanation:

This answer is correct I got it right on Edge 2022. The proof is down below.

Sample Response: The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.

As long as you explain and include these in your answer it should be correct: (If you decide to answer using your own words)

Hope this helps someone. Good luck! :)

Answer: Transitive property of congruence

Answer:

  5.  Substitution

  6.  Substitution

Step-by-step explanation:

The properties of congruence generally match those of equality;

  A ≅ A . . . . reflexive property

  A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property

  A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution

__

In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.