While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5

y=4x²-1

#1

#2

Zeros are 1/2,-1/2

#3

Convert to vertex form y=a(x-h)²+k

Vertex(h,k)=(0,-1)

#4

Graph attached

Answer:

i)  [tex]y=(2x+1)(2x-1)[/tex]

ii)  [tex]x=-\dfrac12, x=\dfrac12[/tex]

iii)   (0, -1)

iv)  see attached

Step-by-step explanation:

Given quadratic:  [tex]y=4x^2-1[/tex]

Factored form

We can use the Difference of Two Squares to factor the given quadratic.

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Therefore,

[tex]a^2=4x^2=(2x)^2\implies a=2x[/tex]

[tex]b^2=1=1^2 \implies b=1[/tex]

So the relation in factored form is:

[tex]y=(2x+1)(2x-1)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies (2x+1)(2x-1)=0[/tex]

[tex]\implies (2x+1)=0\implies x=-\dfrac12[/tex]

[tex]\implies (2x-1)=0\implies x=\dfrac12[/tex]

Therefore, the zeros are -1/2 and 1/2

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-\frac12+\frac12}{2}=0[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]\implies y=4(0)^2-1=-1[/tex]

Therefore, the vertex is (0, -1)

Answer:

314 miles

Step-by-step explanation:

Area of circle: 3.14(r^2)

Now lets solve!

3.14(10^2)

3.14(100)

314

Have an amazing day!!!

Please rate and mark brainliest!!

The area of the circle formula --> [tex]\pi r^2[/tex]

 [tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]

Hope that helps!

Answer:

(7, 8)

I hope my answer helps you.

-2a+6

Hope it helps.

Do comment if you have any query.

Def. of Prime Factorization: defined as a way of finding the prime factors of a number

[tex]495=3^2*5*11[/tex]

Hope that helped!

Answer:

87

Step-by-step explanation:

Pamela's average annual percentage gain was = 7.7%

The start up capital (P) = $10500

The simple interest (SI) = $3250

Time (T) = 4 years

Rate = ?

But SI = P × T × R /100

Make R the subject of formula,

R = SI × 100/P × T

R = 3250 × 100/ 10500 × 4

R = 325000/ 42000

R = 7.7%

Therefore, Pamela's average annual percentage gain was = 7.7%

Learn more about simple interest here:

https://brainly.com/question/25793394

Answer:

300

Step-by-step explanation:

32 rounds to 30.

12 rounds to 10.

30 × 10 = 300

Answer: 300

Answer:

[tex]beinggreat78~here~to~help.[/tex]

So the method is clearly stating that we need to round to the nearest ten, so let's round using the rule set.

This array should help you vision the sequence better.

⇒  [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Now, using the rounding ruleset, we have to find what to round to. Since 32 and 12 both have a ones digit below 5, we round down, meaning we now have 30 and 10. The last step is to multiply 30 by 10 to get your estimate.

  [tex]30[/tex]

[tex]*~10[/tex]

▬▬

[tex]300[/tex]

With this information, your answer is 300(rounded to nearest ten)!

Answer: [tex]x=-7, y=2[/tex]

Step-by-step explanation:

Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]

Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]

Substituting this back into the first equation gives that [tex]x=-7[/tex]

[tex]\therefore x=-7, y=2[/tex]

Answer:

» 15

Step-by-step explanation:

» 5*3=15

hope this helps.

Answer:

heya! ^^

we've been given an expression which is as follows -

[tex]4 {}^{2} - \sqrt{25} [/tex]

let's deal with this expression by dividing it into two separate parts which may help understand better.

______________________________________

★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]

now ,

[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]

★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]

this can also be written as " 5 " since ,

[tex] \sqrt{25} = 5[/tex]

______________________________________

let's have a look at the entire expression altogether now.

[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]

hope helpful :D

Answer:

- sin (x)

Step-by-step explanation:

Answer:

$67.5

Step-by-step explanation:

New value =

50 + Percentage increase =

50 + (35% × 50) =

50 + 35% × 50 =

(1 + 35%) × 50 =

(100% + 35%) × 50 =

135% × 50 =

135 ÷ 100 × 50 =

135 × 50 ÷ 100 =

6,750 ÷ 100 =

67.5

Answer:

The diagram with three triangles is not a good representation.

The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

12/25

Step-by-step explanation:

lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.

If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48

Answer:

  (0, 80)

Step-by-step explanation:

The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.

__

The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

Step-by-step explanation:

Since all graphs pass throught the origin, they all have the form of:

The coefficient of each graph's equation can be calculated based on the given pairs of points.

Each of them calculated for you and attached below.

Answer:

x = ∛375

Step-by-step explanation:

This expression can be written in multiple ways:

x³ = 375

x = ∛375

x = 5∛15

Seems like x = ∛375  is the only correct answer choice.

Hope this helps!

Answer:

16/121

Step-by-step explanation:

First, we need to calculate the chance of a girl being selected for the first pick.

Since there are 4 girls and 7 boys, there are 11 total members on the team. Since 4 of them are girls, there is a [tex]4/11[/tex] chance that a girl is chosen first pick.

Next, to find the chance of the second selection to also be a girl, we have to multiply 4/11 by 4/11 to find that total.

[tex]\frac{4}{11} *\frac{4}{11} =\frac{16}{121}[/tex]

Therefore, the chance of the first two selections being girls is 16/121.

#LearnWithBrainly

Answer:

b) 2.52 x 10^(-2)

Step-by-step explanation:

0.7 X 3.6 = 2.52

2.52 X 10^(-2)

Answer:

0.7495 or 0.75 sales tax

Step-by-step explanation:

5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75

Answer:

The range is 23

Step-by-step explanation:

You need to find the biggest number, and then find the smallest number.  Then you need to subtract them.

Answer:

$100 answers your question

To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.

Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.

Learn more about triangles in: https://brainly.com/question/2773823