PLEASE HELP QUICK WILL MARK BRAINLIEST!
Let f (×)=2/5x^2-2. The function g (x) is a vertical stretch of f (x) by a factor of 2. What is the equation of g (x)?

g(x)=________

It’s a good idea to get into the habit of using parentheses

when substituting numbers in for variables.

If you have parentheses in your original problem, change them to brackets as you substitute (to avoid confusion).

Now plug in the values for b and c into the problem.

So we have [(-5) + (-3)].

Simplifying inside the brackets, we get [(-8)].

So -8 is the answer.

QUESTION 1a.

We want to add

[tex]( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)[/tex]

We group similar terms to get

[tex]- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13[/tex]

Simplify:

[tex]- 10{x}^{2} - 2x -12[/tex]

QUESTION 1b.

The given function is:

[tex](7x^2+4x-26)-(-7x^2-3x+15)[/tex]

Expand the parenthesis to obtain,

[tex]7x^2+4x-26 + 7x^2 + 3x - 15[/tex]

Group similar terms,

[tex]7x^2+7 {x}^{2} + 4x + 3x-26 - 15[/tex]

Simplify:

[tex]14{x}^{2} + 7x-41[/tex]

QUESTION 2

The given function is

[tex]f(n)=n^2-6n-16[/tex]

The zeros of this function is given by;

[tex]n^2-6n-16 = 0[/tex]

Split the middle term.

[tex]n^2-8n + 2n-16 = 0[/tex]

Factor;

[tex]n(n - 8) + 2(n - 8) = 0[/tex]

[tex](n - 8)(n + 2) = 0[/tex]

[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]

[tex]n = 8 \: or \: n = - 2[/tex]

Final answer:

After substituting the x and y values of the point (3,-1) into the circle's equation, it is determined that (3,-1) does not lie on the circle since the equation does not hold true.

Explanation:

To determine if the point (3,-1) lies on the circle given by the equation [tex](x+1)^2 + (y-1)^2[/tex]=16, we must substitute the x and y values of the point into the equation and see if the equation holds true.

Let's plug in x = 3 and y = -1:

[tex](3+1)^2 + (-1-1)^2[/tex]= 16

[tex](4)^2 + (-2)^2[/tex] = 16

16 + 4 = 20

Since 16 + 4 does not equal 16, the point (3, -1) does not lie on the circle

Answer:

2w-4

Step-by-step explanation:

That is your answer. The word twice means 2 and decreased means minus. So your answer is 2w-4.

Step-by-step explanation:

Surface Area Formula: SA=2lw+2lh+2hw

SA is surface area. l is length, w is width, h is height. Make sure to follow PEMDAS and keep multiplication together before adding.

Now substitute values

2(12 3/4*8 1/2)+ 2(12 3/4 * 5 1/2)+ 2(5 1/2*8 1/2)

SA=450.5 inches squared

To find the total surface area of three identical boxes with given dimensions, calculate the surface area of one box using the formula for a rectangular prism and then multiply by three. The total surface area of three boxes is 1351.5 square inches.

Calculating the Total Surface Area of Three Boxes

The question involves finding the total surface area of three identical boxes, each with the dimensions 8 1/2 inches wide, 12 3/4 inches long, and 5 1/2 inches tall. To calculate the surface area of one box, we use the formula for surface area of a rectangular prism:

SA = 2lw + 2lh + 2wh

where SA is the surface area, l is the length, w is the width, and h is the height. Convert fractions to decimals for easy calculation:

Width (w) = 8.5 inches

Length (l) = 12.75 inches

Height (h) = 5.5 inches

Applying the dimensions:

SA = 2(12.75)(8.5) + 2(12.75)(5.5) + 2(8.5)(5.5)

Calculate and add up the areas for each pair of sides:

SA = 2(108.375) + 2(70.125) + 2(46.75)

SA = 216.75 + 140.25 + 93.5

Sum to find the total surface area for one box:

SA = 450.5 square inches

To find the total surface area for three boxes, multiply the surface area of one box by 3:

Total SA = 450.5 * 3

Total SA = 1351.5 square inches

The total surface area of three such boxes is 1351.5 square inches.

The total for liking and not liking painting is 51.

28 like painting, so to find the missing number subtract 28 from 51.

The missing number is 23

The missing number in the table is 23, option B is correct.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given table is below

Like Dance                    28       ?            51

Do Not Like Dance       17         18         35

Total                               45        41         86

We have to find the number of people who like dance when 18 donot like dance and total is 41.

We calculate this by removing 18 from 41 which gives the missing number x

x=41-18

=23

Hence,  the missing number in the table is 23, option B is correct.

To learn more on Statistics click:

https://brainly.com/question/30218856

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7 because subtract 25 from 250 the divide 225 by 30 to get 7.5 so he can only use 7 square yards

Answer:

[tex]A=\$150(1.05)^{t}[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

[tex]A=P(1+r)^{t}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

[tex]P=\$150\\ r=5\%=0.05[/tex]  

substitute in the formula above  

[tex]A=\$150(1+0.05)^{t}[/tex]  

[tex]A=\$150(1.05)^{t}[/tex]  

Answer:

The answer I would choose is C

Hope this helped :)

Answer:

B

Step-by-step explanation:

Multiplying f(x) by g(x)

= (2x² + x - 3)(x + 2)

Each term in the first factor is multiplied by each term in the second factor, that is

x(2x² + x - 3) + 2(2x² + x - 3) ← distribute both parenthesis

= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms

= 2x³ + 5x² - x - 6 → B

Answer:

[tex]\large\boxed{215^o}[/tex]

Step-by-step explanation:

[tex]\text{Coterminal angle with}\ \alpha:\\\\\alpha+360^o\ and\ \alpha-360^o.\\\\\text{Firs\ step}\\\\-865^o:360^o=2\ and\ rest\ -145^o\\\\-865^o=-145^o\\\\\-145^o+360^o=215^o[/tex]

Answer:

its 280

Step-by-step explanation:

:D

Answer:

The number of passenger cars is [tex]675[/tex]

The number of trucks is [tex]525[/tex]

Step-by-step explanation:

Let

x-----> the number of passenger cars

y-----> the number of trucks

we know that

[tex]x=y+150[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{9}{7}[/tex]

[tex]x=\frac{9}{7}y[/tex] -----> equation B

equate equation A and equation B

[tex]\frac{9}{7}y=y+150[/tex]

[tex]\frac{9}{7}y-y=150[/tex]

[tex]\frac{2}{7}y=150[/tex]

[tex]y=525[/tex]

Find the value of x

[tex]x=525+150=675[/tex]

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

Given:  the endpoints of the diameter are (3, 3) and (-1, -4).  a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

      3 - 1

x = -----------

          2

and

         -1

y = ----------

          2

The center is at x = 1 and y = -1/2:  (1, -1/2).

b) The radius is half the diameter.  The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r².  In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4

Answer: No, No, Yes, Yes

Step-by-step explanation:

Answer: 1. No  2. No  3. Yes  4. Yes

Step-by-step explanation: I took the online homework and got 100%

and here is proof that I'm right.

Please mark me Brainliest  : D

Answer:

909 mm

Step-by-step explanation:

There are 10 mm in a cm

90 x 10 = 900

900 + 9 = 909 mm

(Unless you're asking if this is true/false; if so, it is true)

Answer:

8 units

Step-by-step explanation:

The x coordinates don't change so you just subtract 2 from 10 to get the distance.

Answer:

8

Step-by-step explanation:

To calculate the distance d, using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 9, 2) and (x₂, y₂ ) = B(- 9, 10)

d = [tex]\sqrt{(-9+9)^2+(10-2)^2}[/tex]

   = [tex]\sqrt{0^2+8^2}[/tex] = [tex]\sqrt{64}[/tex] = 8

Final answer:

To make a 40-ounce mixture that is 60% fruit juice, equal amounts (20 ounces each) of 20% fruit juice and 100% fruit juice should be used.

Explanation:

Calculating the Fruit Juice Mixture

To solve this problem, we'll use a system of equations. Let's assume that the amount of 20% fruit juice used is x ounces, and the amount of 100% fruit juice used is y ounces. We are trying to make 40 ounces of a mixture that is 60% fruit juice.

First, the total amount of the mixture should be 40 ounces:

x + y = 40

Second, the total percentage of fruit juice in the mixture should be 60%:

0.20x + 1.00y = 0.60 * 40

Now, let's solve these equations step-by-step:

From the first equation, we can say y = 40 - x.

Substitute y in the second equation: 0.20x + 1.00(40 - x) = 24.

Simplify: 0.20x + 40 - x = 24.

Combine like terms: 40 - 0.80x = 24.

Subtract 40 from both sides: -0.80x = -16.

Divide both sides by -0.80 to find x: x = 20.

Substitute x back into y = 40 - x to find y: y = 20.

Therefore, to achieve a 60% fruit juice mixture, 20 ounces of the 20% fruit juice and 20 ounces of the 100% fruit juice should be combined.

Answer:

Second Option and Fourth Option

Step-by-step explanation:

[tex]cot ^ 2(\theta) cos(2\theta)[/tex]

We know that:

[tex]cot(\theta) = \frac{1}{tan(\theta)}[/tex]

Then:

[tex]cot^2(\theta)cos(2\theta) = cos(2\theta)\frac{1}{tan^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =\frac{cos(2\theta)}{tan^2(\theta)}[/tex]

Also:

For the sum of angles identity:

[tex]cos(2\theta) = cos(\theta + \theta)\\\\cos(\theta + \theta) = cos(\theta)cos(\theta) - sin(\theta)sin(\theta)\\\\cos(2\theta) = cos^2(\theta) - sin^2(\theta)\\\\cos(2\theta) = (1-sin^2(\theta)) - sin^2(\theta)\\\\cos(2\theta) = 1-2sin^2(\theta)[/tex]

Then:

[tex]cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)}{sin^2(\theta)}[1-2sin^2(\theta)]\\\\cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)[1-2sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2\frac{cos^2(\theta)[sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2cos^2(\theta)[/tex]

Answer:

jkdnfj dsbnjhfvbdsybvkdsbfvbhjvfblvsdjvdshjkvsdbhjkvndhjs

Step-by-step explanation:

2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95

Answer:

Step-by-step explanation:

Prime numbers are neat.

Here they are:

2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95

Best,

jrodt

Answer:

Step-by-step explanation:

(x/12) = (15/9)

x = 12 (15/9)

x = 20

Answer:

20 feet

Step-by-step explanation:

a = 9 ft., b = 15 ft., c = 12 ft.

c/a = ?,? times b = x

12/9 = 1.3, 1.3(15)= 20

Answer:

The area of the resulting cross section is [tex]78.5\ m^{2}[/tex]

Step-by-step explanation:

we know that

The resulting cross section is a circle congruent with the circle of the base of cylinder

therefore

The area is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]\pi=3.14[/tex]

[tex]r=10/2=5\ m[/tex] -----> the radius is half the diameter

substitute the values

[tex]A=(3.14)(5)^{2}=78.5\ m^{2}[/tex]

Answer:

the correct answer is -9

Step-by-step explanation:

Answer:

17) Length of arc QPT = 20.9 inches

18) Length of arc QR = 12.6 feet

19) Length of arc PQR = 39.3 meters

20) x = 161°

21) x = 123°

22) x = 24 units

23) EB = 4 units

24) EB = 14 units

Step-by-step explanation:

∵ The length of any arc = Ф/360 × 2πr

   where Ф is the central angle subtended by this arc

17) ∵ m∠RZQ = 60° ⇒ central angle

∵ m∠QZP = 90° ⇒ centeral angle

∵ m∠RZT = 180° ⇒ Z ∈ TR

∴ m∠TZP = 180 - 90 - 60 = 30°

∴ m∠QZT = 90 + 30 = 120° ⇒ central angle

∵ ∠QZT subtended by arc QPT

∵ m∠QZT = 120 , r = 10 inches

∴ Length arc QPT = 120/360 × 2π × 10 = 20.9 inches

18) ∵ m∠QZR = 60° ⇒ central angle subtended by arc QR

∵ r = 12 feet

∴ The length of arc QR = 60/360 × 2π × 12 = 12.6 feet

19) ∵ m∠PZR = 60° + 90° = 150°⇒ central angle subtended

     by arc PQR

∵ r = 15 meters

∴ The length of arc PQR = 150/360 × 2π × 15 = 39.3 meters

20) ∵ SU = ST

∴ Measure of arc SU = measure of arc ST

∵ The measure of the circle is 360°

∵ Measure of arc UT = 38°

∴ x = (360 - 38) ÷ 2 = 161°

21) ∵ AB = AC

∴ Measure of arc AB = measure of arc AC

∵ The measure of the circle is 360°

∵ Measure of arc BC = 114°

∴ x = (360 - 114) ÷ 2 = 123°

22) ∵ The two arcs are equal

∴ Their chords are equal in length

∴ 2x - 12 = 36 ⇒ 2x = 36 + 12 ⇒ 2x = 48

∴ x = 24

23) In circle A

∵ AB is a radius and CD is a chord

∵ AB ⊥ CD

∴ AB bisects CD at point E

∵ AB = 20 , CD = 24

∴ CE = 24/2 = 12

In ΔAEC

∵ m∠ AEC = 90

∵ AC = 20 ⇒ radius

∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem

∴ AE = √(20² - 12²) = 16

∵ AB = 20 ⇒ radius

∴ EB = 20 - 16 = 4

24) In circle A

∵ AB is a radius and CD is a chord

∵ AB ⊥ CD

∴ AB bisects CD at point E

∵ AB = 35 , CD = 56

∴ CE = 56/2 = 28

In ΔAEC

∵ m∠ AEC = 90

∵ AC = 35 ⇒ radius

∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem

∴ AE = √(35² - 28²) = 21

∵ AB = 35 ⇒ radius

∴ EB = 35 - 21 = 14

Answer: The answer is B because

The Circumference of a circle or a sphere is equal to 6.2832 times the Radius. The Circumference of a circle or a sphere is equal to 3.1416 times the diameter.

412 pounds for him + 1 pound for his friend = 413 total pounds x $0.80 per pound = $330.40

Sorry, I don’t see this as an answer choice.

Answer:

I am assuming you meant to say '4' instead of '412'. In which case the answer is A.

Step-by-step explanation:

4 + 1 x .80 is 4.00 even. Good luck in your endeavors!

Answer:

[tex]21\ in[/tex] by [tex]63\ in[/tex]

Step-by-step explanation:

we know that

To find the dimensions of the enlarged poster, multiply the original dimensions of the poster by the scale factor

so

[tex]18(\frac{7}{2})=63\ in[/tex]

[tex]6(\frac{7}{2})=21\ in[/tex]

therefore

The dimensions of the enlarged poster are  [tex]21\ in[/tex] by [tex]63\ in[/tex]

Answer:

25.4 units

54.4 units

Step-by-step explanation:

Given that,

length of each side of rhombus = 30 units

interior angle = 25 x 2

                      = 50°

other interior angle = (360-(50x2)) / 2 = 130°

Formula to use

c² = a² + b² - ab cosC

First diagonal

√(30² + 30² - 2*30*30*cos 50)

= 25.35 u

Second diagonal

√(30² +30² - (2*30*30*(cos 130)))

= √(1800-1800cos130)

= 54.37 units

Answer:

The Bottom Right Corner

Step-by-step explanation:

The number line represents 1 whole mile and is split in to 6 sections. So if Ms. P drives 2/6s she would drive 2 sections in that line

your answer is 17 1/4 or 17.25 I think

Answer: x = 63

Step-by-step explanation:

since they are proportional to each other,

36/4 = 9

90/10 = 9

126/14 = 9

7*9 = 63

Answer:

x = 63

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{90}{10}[/tex] = [tex]\frac{x}{7}[/tex] ( cross- multiply )

10x = 630 ( divide both sides by 10 )

x = 63