Which row in the table is the closest to the actual solution? ​

Answer:

Options (3) and (5)

Step-by-step explanation:

Option (1)

f(x) = x² + 7x - 2

     = x² + 2(3.5)x + (3.5)² - (3.5)² - 2

     = (x + 3.5)² - 14.25

Therefore, vertex of the graph → (-3.5, -14.25)

And the graph will open upwards.

Range of the function → [-14.25, ∞)

Option (2)

f(x) = -(x + 1)² - 4

Since, leading coefficient is negative, curve of the function will open downwards.

Vertex → (-1, -4)

Range of the function → [-4, -∞)

Option (3)

f(x) = -4x + 11

This function is defined for all real values of x.

Range of the function → (-∞, ∞)

Option (4)

f(x) = [tex]2^{x+3}[/tex]

Range of this exponential function → (0, ∞)

Option (5)

f(x) = [tex]\frac{2}{3}x-8[/tex]

Function is defined for all real values of x.

Range of the function will be (-∞, ∞)

Therefore, Options (3) and (5) are the correct options.

Answer:

Step-by-step explanation:

[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]

Answer:

2t

Step-by-step explanation:

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]

Calculate 3 squared:

[tex]3^2 = 9[/tex]

Now, substitute these values back into the original equation:

[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]

To add these fractions, you need a common denominator. In this case, the common denominator is 9:

1/9 + 81/9 = (1 + 81)/9 = 82/9

So, the solution to the equation is 82/9.

To know more about equation:

https://brainly.com/question/14603452

#SPJ3

Complete question is:

Solve the equation: (1/3)^2 + 3^2 =

3514 1404 393

Answer:

  (d)  8 cm and 9 cm

Step-by-step explanation:

The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...

  8 cm and 9 cm

Answer:

Step-by-step explanation:

#CARRYONLEARNING

Answer:

$24

Step-by-step explanation:

original price of a dress = $30

discount = 20%

discount amount = discount% of original price

=20/100 * 30

=30/5

=$6

price that consumer will pay after discount = $30 - $6

=$24

Step-by-step explanation:

6$

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Answer:

x = 9

Step-by-step explanation:

Given 2 secants from an external point to the circle , then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides

9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Step-by-step explanation:

-6y + y=-30

-5y = -30

y=6

x=-6 ×6= -36

Answer:

x = 15.8

Step-by-step explanation:

let the number be x

according to the question equation is

x*5 - 2 = 77

5x - 2 = 17

5x = 77 + 2

5x = 79

x = 79/5

x = 15.8

Answer:

5x - 2 = 77

x = 15.8

Step-by-step explanation:

a number - x

times 5 - 5x

minus 2 - 5x - 2

equals 77 - 5x - 2 = 77

77 + 2 = 79

79 ÷ 5 = 15.8

5(15.8) - 2 = 77

( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

Answer:

a

Step-by-step explanation:

everything can be found in the picture

Answer:

50kg

Step-by-step explanation:

because 1 bag costs80

so

divide 4000

80

ans=50kg

Answer:

85 + 12w =360

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the circumference.

Length of the fence = 2πr

                                 = 2* 3.14 * 62.5

                                 = 392.5

                                 = 393 m

Answer:

A x >= 0

Step-by-step explanation:

a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").

so, y = f(x)

and (x,y) are then usually the coordinates on the grid.

the domain is the range or interval of numbers the function is using (x) to create results (y).

so, look at the graph !

for what values of x do you see the functional line drawn ?

that means, the functional line goes along only what part of the x-axis ?

I see it starts at x=0 and then continues all the way to the right and clearly further.

for me that means f(x) calculates values for every positive x we can think of. and including 0.

it does not do anything for any negative x-values.

so, clearly answer A (x>=0) is right.

Answer:

[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]

Answer:

22.1

Step-by-step explanation:

If the triangle is similar then the side lengths have common ratios

*Create ratio to solve for RS*

47.8/13 = RS/6

Now solve for RS

simplify

47/13 = 3.677

We now have 3.677 = RS/6

Multiply each side by 6

3.677 * 6 = 22.1

RS/6 * 6 = RS

we're left with RS = 22.1

Answer:

the 2nd one

Step-y-step explanation:

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

Answer:

53 is the correct answer

Step-by-step explanation:

Your error is the first step

for x = 3

(3x)² = (3 * 3)² = 9² = 81

Answer:

I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.

Answer:

15

Step-by-step explanation:

4:5

4 x 3 = 12 girls

5 x 3 = 15 boys

12:15

Answer:

D. 15

Step-by-step explanation:

4:5

4/5×3/3=12/15

12/15.....12 girls, 15 boys

:) ur welcome

Answer:

10 ^3 * 10 ^2

1/ 10 ^5

10*10*10*10*10

Step-by-step explanation:

10 ^4^1 = 10 ^(4*1) = 10 ^4

10 ^3 * 10 ^2 = 10 ^(3+2) = 10 ^5

1/ 10 ^5 = 10 ^5

10 ^3^2 = 10 ^(3*2) = 10 ^6

10*10*10*10*10 =10 ^5

Answer:

16

Step-by-step explanation:

[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]

Multiplication and division are priority to addition and subtraction

Brainliest please

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]

[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]

[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]

ST² = 10.2 × 14.3

ST = [tex]\sqrt{145.86}[/tex]

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

Answer:

r = (200 - y)/π

Step-by-step explanation:

The question details  includes;

The shape of the indoor track = Two semi-circular ends and a mid rectangular region

The distance around the indoor track = 400 meters

The radius, r, of the semicircular ends in terms of y = Required

Let y represent the length of the rectangular middle area of the track, we have;

The perimeter of the indoor track = The distance around the track = 400 m

The perimeter of the indoor track = 2 × π·r + 2 × y = 400

2 × (π·r + y) = 400

∴ π·r + y = 400/2 = 200

r = (200 - y)/π

Answer:

??i never did this before