Find the product of (x − 3)^2.
x^2 + 6x + 9
x^2 − 6x + 9
x^2 + 9
x^2 − 9

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

[tex]\frac{2y}{2} = \frac{56}{2}[/tex]

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

Answer:

x = 21

Step-by-step explanation:

We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.

Pythagorean Theorem : a^2+b^2=c^2

But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.

20^2 + b^2 = 29^2

400 + b^2 = 841

Subtract 400 from both sides to get b^2 alone

-400            -400

b^2 = 441

Square root of each side to get b by itself

b = 21

This means the missing side is 21. Also meaning 21 is x.

x = 21

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

[tex]p^4 - 16[/tex]

Let the factor form of the polynomial is f(p). Thus,

[tex]f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2[/tex]

Using the formula of difference of squares, we get,

[tex]f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)[/tex]

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

https://brainly.com/question/24380382

Answer:

D Edge 2022

Step-by-step explanation:

Answer:

D. 7/8

Step-by-step explanation:

Answer:

D. 7/8. (has to be twenty characters long so here are some words )

Step-by-step explanation:

a.

[tex]y = |x - 1| + 2[/tex]

b.

[tex] - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1[/tex]

After the hurricane and the disease, 48% of the original population of rats is left.

We have,

After the hurricane, 40% of the rats were wiped out, which means

100% - 40% = 60% of the rats survived.

Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.

This means 100% - 20% = 80% of the rats that survived the hurricane are still left.

To find the percentage of the original population of rats that is left after both events, we multiply the percentages:

Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48

Finally, we convert the decimal value back to a percentage:

Percentage left = 0.48 * 100% = 48%

Therefore,

After the hurricane and the disease, 48% of the original population of rats is left.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ4

Answer:

...............................................................................................5x4

Answer:

z = -1.8, y = 10.2

Step-by-step explanation:

- 2z -2y = -24 (EQ 1)

3z - 2y = -33 (EQ 2)

Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)

Let's target the equation that can leave us with the simplest question to solve

-2z + -2y = -24

-3z + 2y = 33

-5z = 9

(Dividing and switching the negative sign over)

z = -1.8

Plug in Z to solve for y.

-2(-1.8) - 2y = -24

3.6 - 2y = -24

-2y = -20.4

y = 10.4

Answer:

-8,0

Step-by-step explanation:

From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.

For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.

Take 2 coordinates

Slope'-

Equation in point slope form

Answer:

[tex]y=\dfrac67x-\dfrac67[/tex]

Step-by-step explanation:

From inspection of the graph, we have been given two points on the line:

[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]

Therefore:

[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Substituting the values of m and (x₁, y₁):

[tex]\implies y-0=\dfrac67(x-1)[/tex]

[tex]\implies y=\dfrac67x-\dfrac67[/tex]

Therefore, the equation of the line in slope-intercept form is:

[tex]y=\dfrac67x-\dfrac67[/tex]

Answer:

21

Step-by-step explanation:

We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.

If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.

25/3 = 8.33

21/3 = 7

23/3 = 7.667

26/3 = 8.667

Answer:

x ≈ 16.2

Step-by-step explanation:

tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × tan56° = 24 ( divide both sides by tan56° )

x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )

Hey there!

13/4(2x + 3/4)

= 13/4(2x) + 13/4(2x)

= 13/2x + 39/16

≈ 6 1/2x + 2 7/16

Therefore, your answer is:
13/2x + 39/16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]

[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]

Answer:

Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV

Hope it helps.

Answer:

Yes, I agree,  the score of 2 was an outlier,  outside of what is close to everyone else's score

Step-by-step explanation:

Answer:

126 in^2

Step-by-step explanation:

A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]

Answer:

Choose one

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Juice 4 multiplied by Dessert 3

Answer: 25 inches

Step-by-step explanation:

24² + 7² = 625

Square root of 625 = 25

Answer:

Point C

Step-by-step explanation:

it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.

Answer:

Point C

Step-by-step explanation:

Step 1:  What point is located at -1/6

We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative.  0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number.  Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.

Answer: Point C

My method is a little bit different, but I hope it helps..

Total angle=103°+103°=206°

Total area=π×17×17=289π≈368.1

Area of shaded region=(206/360)×368.1

=210.6 sq. meter

Answer:

(24y^3x-20y^5x^2)/(-3y^5x^2)

= y^3x(24-20y^2x))/(-3y^5x^2)

=(24-20y^2x)/(-3y^2x)

=(24/(-3y^2x))-((20y^2x)/(-3y^2x))

=(-8/y^2x)-(-20/3)

=-8/y^2x + 20/3

Answer: [tex]D=13.8[/tex]

Step-by-step explanation:

To fing the diameter of a circle when given the circumfrence we use the formula of

[tex]D=\frac{c}{\pi }[/tex]

[tex]D= \frac{43.332}{3.14}[/tex]

[tex]D=13.8[/tex]

Answer:

% of students who are female or have green eyes: 51% or 45/88

% of students who are males without green eyes: 49% or 43/88

The sum of these two percentages: 100%

Step-by-step explanation:

Since there were 48 men surveyed and 40 women there were 88 students surveyed in total.

For the first part:

Since the students had to either be female, 40 students, or have green eyes, 5 male students, there would be a total or 45 students who were either female or had green eyes. Or 45/88 = 51%

For the second part:

Since the students had to be male and NOT have green eyes... take the total number of male students, 48 students, and subtract those with green eyes, 5 students, to get a total of 43 male students without green eyes. Or 43/88 = 49%