what is the range of d

Answer:

x = 35

Step-by-step explanation:

2x+10 + 2x + x-5 = 180

5x + 5 = 180

5x = 175

x = 35

For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

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Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

The total number of rabbits bought by Doña Rose for your farm is 4 times the Number of given rabbits.

The number of rabbits bought by Doña Rose for your farm, we need to consider that the given rabbits represent only a quarter of the total number.

the total number of rabbits as 'x'. According to the information, the given rabbits represent a quarter of 'x', which can be expressed as:

Given rabbits = (1/4) * x

To find the value of 'x', we can multiply both sides of the equation by 4

4 * Given rabbits = x

Therefore, the total number of rabbits bought by Doña Rose for your farm is 4 times the number of given rabbits.

the exact value of 'x'. However, we can state that the total number of rabbits bought is four times the number of the given rabbits.

So, if the given rabbits represent 'n' in quantity, the total number of rabbits bought would be 4n.

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By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

undefined

Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

m = (8 - -4)/97-7)

   = (8+4)/(7-7)

   = 12/0

We cannot divide by 0 so the slope is undefined

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given plot

STEP 2: Get the data of the school's soccer team from the plot

STEP 3:

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

y = -9x + 4

The equation for slope is y=mx + b

Answer:

Keiko would pay $30 a month at bank A.

Keiko would pay $15 a month at bank B.

Both bank A and bank B combined would be $45 a month.

Step-by-step explanation:

Answer:

a is the same answer to this topic is the best way

Answer:

The area of the garden is 12.

Step-by-step explanation:

All you have to do is multiple the width time the length and you will get 12.

Step-by-step explanation:

3x - 7 = 11

3x = 11 + 7

3x = 18

x = 18/3

= 6

Step-by-step explanation:

The formula to find the interior angle of a polygon is 180(n - 2) over n.

So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.

Now we use algebric method to solve for n.

180n − 360 = 120n

60n = 360

n = 6

Answer:

is a measure of the average absolute distance between each data value and the mean of a data set.

Answer:

  7 cubic units

Step-by-step explanation:

There are 6 unit cubes on the bottom layer, and one on the top layer. The total volume is ...

  6 +1 = 7 . . . . cubic units

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

♨ \( \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : \)

☄ \( \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : \)

☂ \( \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: \)

☃ \( \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: \)

☼ \( \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}\)

~Plug the known values & then multiply!

⤑ \( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}\)

⤑ \( \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }\)

☥ \( \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}\)

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ \( \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}\) ✔

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}\)

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

9514 1404 393

Answer:

  [[-14][-1]]

Step-by-step explanation:

Row m of the first matrix is multiplied term-by-term by column n of the second matrix to get term (m,n) of the product matrix.

  \(\left[\begin{array}{cc}2&-4\\3&-1\end{array}\right]\times\left[\begin{array}{c}1&4\end{array}\right] =\left[\begin{array}{c}(2)(1)+(-4)(4)&(3)(1)+(-1)(4)\end{array}\right] =\left[\begin{array}{c}-14&-1\end{array}\right]\)

Answer:

\(f(2.1) = 0.512195\)

\(f(2.05) = 0.506173\)

\(f(2.01)=0.501247\)

\(f(2.001) = 0.500125\)

\(f(2.0001) = 0.500012\)

\(f(1.9) = 0.487179\)

\(f(1.95) = 0.493671\)

\(f(1.99) = 0.498747\)

\(f(1.999) = 0.499875\)

\(f(1.9999) = 0.499987\)

Step-by-step explanation:

Given

\(f(x) = \frac{x^2 - 2x}{x^2 - 4}\)

Solve for f(x) for all given values of x

First, we need to simplify f(x)

\(f(x) = \frac{x^2 - 2x}{x^2 - 4}\)

\(f(x) = \frac{x(x - 2)}{x^2 - 2^2}\)

\(f(x) = \frac{x(x - 2)}{(x- 2)(x + 2)}\)

\(f(x) = \frac{x}{x + 2}\)

When \(x = 2.1\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.1) = \frac{2.1}{2.1 + 2}\)

\(f(2.1) = \frac{2.1}{4.1}\)

\(f(2.1) = 0.512195\)

When \(x = 2.05\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.05) = \frac{2.05}{2 + 2.05}\)

\(f(2.05) = \frac{2.05}{4.05}\)

\(f(2.05) = 0.506173\)

When \(x = 2.01\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.01)=\frac{2.01}{2.01 +2}\)

\(f(2.01)=\frac{2.01}{4.01}\)

\(f(2.01)=0.501247\)

When \(x = 2.001\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.001) = \frac{2.001}{2.001 +2}\)

\(f(2.001) = \frac{2.001}{4.001}\)

\(f(2.001) = 0.500125\)

When \(x = 2.0001\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.0001) = \frac{2.0001}{2.0001 + 2}\)

\(f(2.0001) = \frac{2.0001}{4.0001}\)

\(f(2.0001) = 0.500012\)

When \(x = 1.9\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.9) = \frac{1.9}{1.9 + 2}\)

\(f(1.9) = \frac{1.9}{3.9}\)

\(f(1.9) = 0.487179\)

When \(x = 1.95\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.95) = \frac{1.95}{1.95 + 2}\)

\(f(1.95) = \frac{1.95}{3.95}\)

\(f(1.95) = 0.493671\)

When \(x = 1.99\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.99) = \frac{1.99}{1.99 + 2}\)

\(f(1.99) = \frac{1.99}{3.99}\)

\(f(1.99) = 0.498747\)

\(f(x) = \frac{x}{x + 2}\)

When \(x = 1.999\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.999) = \frac{1.999}{1.999 + 2}\)

\(f(1.999) = \frac{1.999}{3.999}\)

\(f(1.999) = 0.499875\)

When x = 1.9999

\(f(x) = \frac{x}{x + 2}\)

\(f(1.9999) = \frac{1.9999}{1.9999 + 2}\)

\(f(1.9999) = \frac{1.9999}{3.9999}\)

\(f(1.9999) = 0.499987\)

Note that all values of f(x) are approximated to 6 decimal places

Answer:

3 × 3 × 3 × 3

or 3^4

9 × 9 = 81

(3 × 3) × (3 × 3) = 81

Answer 50,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

The ball when thrown at initial velocity of 40ft/sec is 10 ft above the moon's surface after approximately 0.09 seconds and 14.73 seconds .

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

The given equation for the height of the ball from the surface after t seconds is given by :

s=-2.7t²+40t+6.5

The initial velocity is 40ft/second.

the height of the ball is 10 ft from the surface.

therefore: s=10

Substituting the value in the equation we get:

10=-2.7t²+40t+6.5

or, -2.7t²+40t-3.5=0

This is a quadratic equation in t . Solving by the quadratic formula we get:

We know that for a equation: ax²+bx+c=0

\({\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}\)

So using the above equation we get:

\({\displaystyle x={\frac {-40\pm {\sqrt {40^{2}-4(-2.7)(-3.5)}}}{2(-2.7)}}}\)

either x=14.726... or x= 0.088...

Therefore  x≈14.73 and x≈ 0.09

So the ball will be 10 ft above the moon's surface after approximately 0.09 seconds or 14.73 seconds .

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