1.
Write the equation, then find the value of x.

2.
What is the measure of

Problem 17

The graph is shown below.

The domain is [tex]x \ge -1[/tex] which is found by solving [tex]x+1 \ge 0[/tex]. This is done to ensure that the stuff under the square root is not negative. Note the left-most point of the graph has x = -1 as its x coordinate.

The domain in interval notation is [tex][-1, \infty)[/tex] we have a square bracket at -1 and a curved parenthesis at infinity.

The range is [tex]y \le 3[/tex] based on what the graph shows. This is directly tied to the +3 at the end of the function. The parent's function max value is y = 0, so that plus 3 shifts everything up 3 units so that the new translated function has a max of y = 3.

The range in interval notation is [tex](-\infty, 3][/tex] we use a square bracket to include 3 as part of the interval.

Throughout the entire function, the curve is going downhill as we move from left to right. The graph shows this. We could also use a table of values to see that as x gets bigger, y gets smaller.

So the function is never increasing. The function decreases on the interval (-1, infinity) which is the entire domain.

=====================================================

Problem 18

The graph is shown below. It's in a separate attachment.

The domain and range are the set of all real numbers. The graph shows that the curve extends forever to the left and right. Also, the graph extends forever upward and downward (regardless if that growth seems really slow).

The domain and range in interval notation is [tex](-\infty, \infty)[/tex] to indicate the entire real number line.

The graph goes uphill as we read from right to left, so the function is increasing on the interval [tex](-\infty, \infty)[/tex]. In other words, no matter where you are, you're going uphill if you move from left to right. This rules out the function ever decreasing.

We can use a table of values to see that the function is increasing if we cannot rely on the graph. As x gets bigger, so does y.

Answer:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Direct variation is represented by the formula [tex]\frac{y}{x} = k[/tex]

where k is the constant of variation.

So here, since we know that x = 24 and y = 8,

the constant of variation must be equal to 8/24.

if we write 8/24 in lowest terms, we have 1/3.

So 1/3 = k.

Answer:

हेलो मेरा पसंदीदा मौसम गर्मियों का है, मैं इसे प्यार करता हूं क्योंकि मैं अपने दोस्तों के साथ तैराकी करता हूं और मुझे तैराकी पसंद है क्योंकि मैं ट्रैक रन करता हूं, मुझे सिर्फ गर्मी से प्यार है

Step-by-step explanation:

Answer:

B. The change in the total amount if money for every one additional ride she goes on

Step-by-step explanation:

Given,

y = 26 + 1.5x, where,

y = total amount of money Eva will spend

x = number of rides Eva rides on

Thus,

Set price of admission into the amusement park = $26

Price per ride = $1.5

Therefore, the 1.5 I'm the equation can be said to be "the change in the total amount if money for every one additional ride she goes on".

Answer:

1

Step-by-step explanation:

The answer is simply 1 as the leading term, x^4 has a coefficient of 1.

Answer: 3

Reason: 5 + 3 = 8

Answer:

t = 0.625

Step-by-step explanation:

Assuming this is 5t = 8:

5t = 8 | Given

t = 0.625 (5/8, divide 5 by 8 to separate the coefficient 5 from the variable t.)

Answer:

A=432   B=520

Step-by-step explanation:

alright so there are 60 minutes in a hour so every 10 you get 6 so 6x6=36 per hour so 36x12 equals 432 parts

15 x 4 = 60 so 13 x 4 =52 per hour so 52 x 10 = 520

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

Answer:

Step-by-step explanation:

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x - 6 = 3

3x = 9

x = 3

Answer:

1

Step-by-step explanation:

Answer:396

Step-by-step explanation:your volume is 5.5 * 3 * 3 = 5.5 * 9 = 45 + 4.5 = 49.5 cubic inches. multiply that by 2*2*2 = 8 and you get 49.5 * 8 = 396 half cubic half inches. let's see if that makes sense. 11 half inches * 6 half inches * 6 half inches = 396 cubic half inches.brainliest?

Answer:

Step-by-step explanation:

sorry need the points

Answer:

6/35

Step-by-step explanation:

6/5÷7/1=6/5 x 1/7 = 6/35

Answer:

6/35

Step-by-step explanation:

Answer:

The equation are true.

Step-by-step explanation:

Given

[tex]m * (-1) = m / (-1)[/tex]

Required

True or false?

We solve this question from right to left:

[tex]m * (-1) = m / (-1)[/tex]

Express / as *

[tex]m * (-1) = m * 1/(-1)[/tex]

[tex]m * (-1) = m * (-1)[/tex]

The expression on both sides of the equation are true.

Answer:

9.4 secs

Step-by-step explanation:

From Newton's law of cooling;

T(t) = Ts + Do e^-kt

Where;

D0= initial temperature difference

Ts= Temperature of the surroundings

t= time

K = positive constant

Do = 185 - 60 = 125 degrees

167 = 60 + 125 e^-3k

167 - 60 = 125 e^-3k

107/125 = e^-3k

ln(e^-3k) = ln(107/125)

-3k = -0.1555

k = 0.1555/3

k = 0.0518

Substituting the value of k to find the time taken to reach 137 degrees

T(t) = Ts + Do e^-kt

137 = 60 + 125 e^-(0.0518t)

137 - 60 = 125 e^-(0.0518t)

77 = 125 e^-(0.0518t)

e^-(0.0518t)= 77/125

ln [e^-(0.0518t)] = ln(77/125)

-0.0518t = -0.4845

t = 0.4845/0.0518

t = 9.4 secs

Answer:

4x+1

Step-by-step explanation:

Responder:

[tex]\frac{1}{10},\frac{4}{10},\frac{6}{10},\frac{8}{10},\frac{10}{10},\frac{14}{10}[/tex]

Explicación paso a paso:

Dado que los denominadores son iguales, organice los numeradores.

Answer:

[tex]\frac{1}{10} ,\frac{4}{10}, \frac{6}{10}, \frac{8}{10}, \frac{10}{10}, \frac{14}{10}[/tex]

¡Espero que ayude!

Lo siento si es mal español. No soy un hablante nativo. :P

Step-by-step explanation:

Answer:

[tex]f(x)=5(4)^x[/tex]

Step-by-step explanation:

The exponential function is [tex]f(x)=ab^x[/tex].  [tex]a[/tex] is the initial value of the function, or the y-value when x=0. In this case, [tex]a[/tex]=5. If we enter that into the equation:

[tex]f(x)=5b^x[/tex]

Then we can use another point to solve for [tex]b[/tex].

[tex]20=5b^1[/tex]

Since anything raised to the power of 1 remains the same, we can continue to solve algebraically.

[tex]20=5b\\\frac{20}{5}=\frac{5b}{5}\\b=4[/tex]

Now that we have both the [tex]a[/tex] and [tex]b[/tex] value, we can return to the exponential function and fill in the blanks.

[tex]f(x)=5(4)^x[/tex]

I hope this helps!

Answer:

It would have to be (C) 50.27 because 25 is too short for a diameter of 8 seeing it would be 8x4 to get 32 in which 25 is not long enough for. So the answer is C.

Answer:

I think it would be 120

Step-by-step explanation:

You add 120+120 and it would equal 240. Then 240 dived by 2 which will equal 120.

(120 + 120)= 240 dived by 2= 120 I might be wrong

Answer:

$75

Step-by-step explanation:

let 'x' = full price ticket

x + x + 0.4x = 180

2.4x = 180

x = 75

Step-by-step explanation:

this is what I use go to your app store and get Math. way and type your answer in

Answer:

a)  (c + 2)²

b)  (x + 2)(x - 4)

c)  (g + 2)(g + 6)

d)  (x + 2)(x - 9)

e)  (r + 9)(r + 1)

f)  (x - 6)(x - 4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

9+10=19 but if you are talking about the meme 21

Step-by-step explanation:

Step-by-step explanation:

the answer is

3+5x=3

5x=0

x=0

Answer:

164 is less than the expectation

Step-by-step explanation:

Given

[tex]n = 480[/tex] --- Cars

[tex]p = 0.375[/tex] --- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 480 * 0.375[/tex]

[tex]E(x) = 180[/tex]

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.