1. Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
a. 1632
b. 0.25
c. 0.0300300030000…
d. 0






2. Is the following example true or false? If false, give a counterexample. “The sum of two rational numbers is always rational. The sum of two irrational numbers is always irrational.”







3. Which of the following expressions is equivalent to 6(94)+7+(3+2)
a. 2+(3+7)+4(69)
b. 9(64)+2+(73)
c. (6+7)(94)+3+2
What properties of real numbers does this example show

Step-by-step explanation:

a. 4x = 3x+3

4x-3x=3

x = 3

b. L ABC = 3x+3= 3(3)+3= 12°

c. L CBD = 4x = 4(3) = 12°

d. L ABD = 12+12 = 24°

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

Answer:

-27

Step-by-step explanation:

Answer:

linked below

Step-by-step explanation:

If you use desmos, it show this which is the correct graph :)

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

the answer is 7/9. ...........

Answer:

Step-by-step explanation:

Given that x = 3 and y = 2 we can figure these out

3x = 3x3 = 9

5y = 5 x 2 = 10

9+10=19

X times y - 1

3x2-1=5

X*+y* =

3x3+2x2 = 13

2x3*-2 =

2x3x3 - 2 = 16

-5x3+9

= -6

2x2-3+5+3*-3x2 =

9

Answer:

4x _ 8 + 90 = 144

Step-by-step explanation:

you do parentheses then the rest you follow that order and it will all work ot really easy

Answer:

whats the choices?

Step-by-step explanation:

Step-by-step explanation:

The formula for Arithmatic Series is

[tex]a_n=a_1+(n-1)d[/tex]

where a_1 and a_n are the first and n-th term of the series respectively,

d is the common difference of the series.

Now,

The eigth term is given by,

[tex]a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d[/tex]

Answer:

It will be -8≤×≤8

Answer:

Step-by-step explanation:

Between the fourth and tenth there are:

The total number is:

Answer:

8. ☐ A Up

☑ B Down 1

☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]

☐ D Right

7. [tex]\displaystyle 3\pi[/tex]

6. ☑ A x = −2π

☐ B x = −π

☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]

☑ D x = π

5. [tex]\displaystyle y = -1[/tex]

Explanation:

[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.

Answer:

a=2, b=-3

Step-by-step explanation:

f(x) = ax+b

f(3)=3, 3a+b=3

f(2)=1, 2a+b=1

Solving these two equations, we get a=2, b=-3

Answer:

Step-by-step explanation:

[tex]y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)[/tex]

The vertex is (1,-3).

To find the the vertex of the parabola.

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,

Given that:

[tex]y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\[/tex]

So, the vertex is (1,-3).

Learn more about parabola here:

https://brainly.com/question/24390399

#SPJ2

Answer:

jsjwbsihdn3oiansjsos

Answer:

I would first tell people to evacuate

Answer:

y = mx+ b

m=slope

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Slope-intercept form: y = mx + b

By comparing the formula to the equation given, it is clear the slope of the line is -1/2.

The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.

Scale used to convert the dimensions from drawing to actual is,

2 cm : 12 in

Height of the ramp in a skateboard park = 2 cm

Therefore, actual height 'x' of the ramp will be,

[tex]\frac{2}{12}=\frac{2}{x}[/tex]

x = 12 inches

Since, measure of the base of the ramp = 8 cm

Length of the base 'y' of the actual ramp will be,

[tex]\frac{2}{12}=\frac{8}{y}[/tex]

y = [tex]\frac{8\times 12}{2}[/tex]

y = 48 inches

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(48)(2)[/tex]

                             = 48 square inches

Learn more,

https://brainly.com/question/410946

Answer:

nice TV

Step-by-step explanation:

Answer:

I think this is if it is right then help me plz this is false ..

Answer:

Step-by-step explanation:

r = 3/4

[tex]V(r) =\dfrac{4}{3}\pir^{3}\\\\V(\dfrac{3}{4})=\dfrac{4}{3}*\pi \dfrac{3}{4}*\dfrac{3}{4}*\dfrac{3}{4}\\\\=\dfrac{3*3}{4*4}\pi \\\\=\dfrac{9}{16}*3.14\\\\=1.77[/tex]

Answer:

87

Step-by-step explanation:

Mean(or average) = 82

let 'x' be the last test marks

Sum of marks of tests/Number of tests = Mean

(78 + 83 + 80 + x)/4 = 82

241 + x = 82 × 4

241 + x = 328

x = 328 - 241

x = 87

Answer:

[tex]\dfrac{21}{4}[/tex]

Hello,

Step-by-step explanation:

[tex]2x^2-5x+1=2(x^2-\frac{5}{2}+\frac{1}{2} )\\\\\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\frac{1}{2} \\\\(\alpha+\beta)^2=\alpha^2+\beta^2+2\alpha*\beta\\\\\alpha^2+\beta^2\\\\=(\alpha+\beta)^2-2\alpha*\beta\\\\\\=(\dfrac{5}{2} )^2-1\\\\=\dfrac{21}{4} \\[/tex]