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What is the period and frequency of the function graphed and how would the equation be written??

Answer:

[tex]x=-7,-3[/tex]

Step-by-step explanation:

Completing the square means you are changing the polynomial so that it is a perfect square trinomial. Since the middle term is 10, we need the last term to be 25 since 5+5=10, thus, 5*5=25:

[tex]x^2+10x+21=0\\x^2+10x+21+4=0+4\\x^2+10x+25=4\\(x+5)^2=4\\x+5=\pm2\\x=-7,-3[/tex]

As you can see, because we change [tex]x^2+10x+21[/tex] to [tex]x^2+10x+25[/tex] by adding 4 to both sides, we were able to reduce it to [tex](x+5)^2[/tex], a perfect square, and solve the rest of the problem.

Answer:

P(M &C) = 0.24

Step-by-step explanation:

Chemistry book will be denoted by C

Mathematics book will be denoted by M

5C2 = 10

There are 10 possible ways in which she can choose two books from the 5 books.

The probability of choosing a chemistry book:

P(C) = 2/5

The probability of choosing a mathematics book:

P(M) = 3/5

Probability of choosing a chemistry book and a mathematics book:

P(M &C) = (2/5) × (3/5)

P(M &C) = 0.24 or 24%

The probability that she pulls out a math book and a chemistry book will be 0.24.

The term probability refers to the likelihood of an event occurring

Given that;

Julia has 2 chemistry books and 3 math books.

Now,

Since, Julia has 2 chemistry books and 3 math books.

Hence, Total number of books = 2 + 3 = 5

So, The probability to choosing a chemistry book = 2/5

And, The probability to choosing a math book = 3/5

Thus, The probability that she pulls out a math book and a chemistry book is,

⇒ 2/5 × 3/5

⇒ 6/25

⇒ 0.24

Learn more about the probability visit:

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Answer:

28.26 ft squared

Step-by-step explanation:

Area is pi*r^2

3.14*(3)^2

3.14*9

28.26

Answer:

ok so this is just multiplycation

30% is also 0.3 so

280*0.3=84

84 minutes or

1 hour 24 minutes

Hope This Helps!!!

Answer: 23810645.03820431-24

Step-by-step explanation:

Used my brain :)

Answer:

70°

Step-by-step explanation:

All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.

Answer:

The function h(x) is increasing on the interval (-2, ∞)

Step-by-step explanation:

Given function:  [tex]h(x)=3 \sqrt{x+2}[/tex]

We cannot square root a negative number, therefore the domain (x-values) is restricted:

[tex]x+2\geq 0 \implies x\geq -2[/tex]

Therefore, [tex]h(x)\geq 0[/tex]

⇒ The function h(x) is increasing on the interval (-2, ∞)

Answer:

FLVS ANSWER D-  The function h(x) is increasing on the interval (–2, ∞).

Step-by-step explanation:

you dont need one

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

Step-by-step explanation:

ang xoz = ang yoz + 5x+16

77 = 44 + 5x+16

77 = 5x+60

5x= 17

x= 3.4

The sale price for the snowboard after the trade and loyalty discount of 15% and 4% will be 351.01 dollars.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Then the price of the snowboards will be

⇒ $ 395 × 0.85 × 0.96

⇒ $ 322.32

Its markup on selling price percentage on all snowboards is 21%, then we have

⇒ $ 322.32 × 1.21

⇒ $ 390.01

At the end of the season, any leftover snowboards are marked down by 10%, then we have

⇒ $ 390.01 × 0.90

⇒ $ 351.01

More about the percentage link is given below.

https://brainly.com/question/8011401

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[tex]m = 1[/tex]

Step-by-step explanation:

[tex]2x + m = 7[/tex]

insert x=3 into the equation

[tex]2(3) + m = 7[/tex]

multiply

[tex]6 + m = 7[/tex]

subtract 6 on both sides

[tex]6 - 6 + m = 7 - 6[/tex]

[tex]m = 7 - 6[/tex]

simplify

[tex]m = 1[/tex]

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

a is the opposite = 12

b is the Adjacent = 5

c is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

Answer:

2.054

Step-by-step explanation:

put the value of x in f(x)

Answer:

Use the geometric sequence formula since you are multiplying each town's villagers by the amount your teacher gave you.

Step-by-step explanation:

Plug in the parts of the formula from the numbers given in the question, then you can calculate the number of villagers needed for the 15th town.

Answer:

35.375 Villagers Live in the 15th village

Step-by-step explanation:

Brennan can use the Geometric Sequence formula to predict the number of villagers in the 15th town.

(work attached)

Answer:

[tex]\red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Step-by-step explanation:

[tex] \huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

Answer:

cos θ = 4/5

Explanation given below in the image,

I hope my answer helps you.

Answer:

coke red

Step-by-step explanation:

correct me if im wrong

Answer:

Step-by-step explanation:

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

Answer:

448 is the answer

Step-by-step explanation:

If u need complete solution do let me know

Answer:

448 yd^2.

Step-by-step explanation:

The surface area consists of 3 rectangles and 2 congruent triangles

= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8

= 132 + 220 + 96

= 448 yd^2.

Answer:

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

Step-by-step explanation:

The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.

__

  [tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

_____

Additional comment

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.

Answer:

1 Shirt and 185cm remaining cloth

Step-by-step explanation:

2m and 15cm = 215cm

40m = 400cm

400/215=1.860465116

A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:

1.860465116-1

=860465116

215*860465116=185cm

Answer:

3320

Step-by-step explanation:

So, 9 months is 9/12 of a year which is 3/4.

Each month they get 5/12% of their total money, so 9x5/12=3.75%.

3320

Answer:

I think it is B) 1/5, but I am not sure.

Answer:

27 inches

Step-by-step explanation:

the formula for the circumference is 2 × pi × r

so: 2 × pi × r = 84.78

so 84.78/2pi = r

r = 13.5

we want the diameter which is 2 x r

so the diameter is 27

Answer:

9, 40, and 42

Step-by-step explanation:

Answer:

9, 40,and 42 is the answer

Step-by-step explanation:

5x-9 means

9 less than the product of a number and 5

5 times x minus 9

the product of 5 and a number minus 9

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. (2,7)

Step-by-step explanation:

2x+3 = 3x+1

x=2

y= 2×2+3

y=7

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]

[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]