Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost.

The answer is option D which is the range will be ( -∞, ∞ ).

After substituting the domain, the range of a function is the entire set of all possible values for the dependent variable (often y).

Given function is

u(x) = -2x²+3 and v(x) = ( 1 / x ).

The product of the function will give uv(x).

uv(x) = (-2x²+3 ) x  [tex]\dfrac{1}{x}[/tex]

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

When we plot the graph of the function we found two opposite curved graphs and they are not intersecting at any point so the range will be from negative infinity to positive infinity. The graph of the function is attached with the answer below.

Therefore the answer is option D which is the range will be ( -∞, ∞ ).

To know more about the range follow

https://brainly.com/question/2264373

#SPJ1

Answer:

[tex]\frac{x}{12}[/tex] (x/12)

Step-by-step explanation:

if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]

(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)

Answer:

Timber=x/12

Step-by-step explanation:

12 pieces long is x, if the length of each one is same, so the length of each one is x/12.

The measure of angle x will be 88 degrees. Then the correct option is C.

The complete question is attached below.

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

2ab cos θ = a² + b² – c²

The triangle is shown below.

Then the value of the variable x will be

2 · 7 · 10 · cos x = 7² + 10² – 12²

       140 · cos x = 49 + 100 – 144

                cos x = (149 – 144) / 140

                       x = 87.95 ≈ 88°

Then the correct option is C.

Learn more about law of cosines here:

https://brainly.com/question/17289163

#SPJ1

The surface area of the cylinder is 5969.03 cm²

The internal volume is 23156.68 cm³

Given:

A gas tank consists of a cylinder with a hemisphere on top.
The thickness of the metal is 1 cm
The overall height is 90 cm
The external diameter is 20 cm

To Find
a) the surface area of the tank

We will add the area of the bottom circle of radius 10 cm (counting the 1 cm thickness in), the external surface area of cylinder of height (90 - 10) cm =80 cm and radius 10 cm, and the surface area of the hemisphere of radius 10 cm.

So, the surface area of the cylinder is

[tex]\pi\times(10)^2+2\times\pi\times 10\times 80+ 2\times \pi \times (10)^2[/tex]
= π×(100+1600+200)

= π×(1900)

= 5969.03 cm²

b) To find the internal volume of the tank we find the internal volume of the hemisphere with an internal radius (10-1)=9 cm,
the internal volume of the cylinder of radius 9 cm and height (80-1) cm

= [tex]\frac{4}{3}\times \pi \times 9^3[/tex]+[tex]\pi\times 9^2\times 79[/tex]

= 23156.68 cm³

Learn more about cylinders here-

brainly.com/question/16134180

#SPJ10

[tex]-3(x^{2} +5x+10)[/tex] is the standard form of the given expression

The given expression is:

[tex]=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)[/tex]

This is the standard form of the given expression.

Learn more about Simplifying expression here https://brainly.com/question/723406

#SPJ4

The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.

Functions are found all across mathematics and are required for the creation of complex relationships.

Part A: The equation that gives the volume at t hours after freezing begins will be

V = s³

V = [(1/2)t + 4]³

Part B: The surface area as a function of time, using composition, and determine its range will be

A(s) = 6(1/2 t + 4)²

A(s) = 6 (t²/4 + 4t + 16)

A(s) = 3/2 t² + 24t + 96

Part C: The number of hours when the surface area equal 294 square inches will be

294 = 6(1/2 t + 4)²

49 = (1/2 t + 4)²

7 = 1/2 t + 4

1/2 t = 3

t = 3 1/2 hours

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

4 days

Step-by-step explanation:

1) Derive a formula.

Let b = bicycle

Let x = the number of days

A set up equation: b = 6x + 15

2) If she pays 39 to hire a bicycle, substitute 39 into b, then solve for x.

39 = 6x + 15

39 - 15 = 6x

24 = 6x

24/6 = x

4 = x

x = 4

Since x is the number of days, she hired the bicycle for 4 days.

Answer:

54 = 2 × 3 × 3 × 3 = 2 × 3³

[tex] f(x) = 7(\sqrt[3]{54})^x [/tex]

[tex] f(x) = 7(\sqrt[3]{3^3 \times 2})^x [/tex]

[tex] f(x) = 7(3\sqrt[3]{2})^x [/tex]

Initial value: x = 0

[tex] f(0) = 7(3\sqrt[3]{2})^0 [/tex]

[tex] f(0) = 7(1) [/tex]

[tex] f(0) = 7 [/tex]

The initial value is 7.

The domain is all real numbers.

The range is all real numbers greater than zero.

Answer:

75

Step-by-step explanation:

you need to divide numbers by 3

3×25=75

Answer:

147

Step-by-step explanation:

Arithmetic sequence:

  a = first term = 3

  d = common difference = second term - first term

     = 9 - 3

  d = 6

  n = 25

  [tex]\sf \boxed{\bf n^{th} \ term = a + (n-1) d}[/tex]

                   = 3 + (25 - 1)*6

                   = 3 + 24*6

                    = 3 + 144

                    = 147

Answer:

D

Step-by-step explanation: the larger abs(r value) is, (abs of r closest to 1) the better the correlation. Negative values indicate a negative correlation (negative slope)

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

These method is used to determine the side and angles of a triangle

From the question given, we have the following parameters

Base of the building = 7feet (Adjacent side)

Height of the building = 18 feet (Opposite side)

Required

angle of elevation of the building

Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

Learn more on angle of elevation here: https://brainly.com/question/88158

#SPJ1

Answer:

0 represents the ground level

Answer:

10. Ray ED and Ray EF (two rays)

11. DE and EF (two line segments)

Step-by-step explanation:

hope this helped

Answer:

Ray ED and Ray EF

DE and EF

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (- 4, 11) ← 2 ordered pairs from the table

m = [tex]\frac{11-(-1)}{-4-2}[/tex] = [tex]\frac{11+1}{-6}[/tex] = [tex]\frac{12}{-6}[/tex] = - 2

Answer:

-22.2222222222%

Step-by-step explanation:

-0.4/1.8×100

Step-by-step explanation:

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

[tex]f( - 1) = 2. {( - 1)}^{2} + 3.( - 1) - 3[/tex]

[tex]f( - 1) = 2 - 3 - 3[/tex]

[tex]f( - 1) = - 4[/tex]

Answer:

since it talks about a ratio of margarine to flour, we should write it in this form:

Since we have a 50g margarine and a 200g flour, therefore, we write it as

➡️ 50 : 200 ➡️ 1 : 4

FINAL ANSWER SHOULD BE:

Step-by-step explanation:

Ratio of MARGARINE TO FLOUR

Given that margarine is 50g and flour is 200g. Therefore,

Margarine:Flour ➡️ 50:200 = 1:4

To check:

A:B= C:D ➡️ 50:200= 1:4

▶️AD= BC ➡️ (50) (4) = (200) (1)

➡️ 200 = 200

☑️

Hope it helps

Answer:3.5s2

Step-by-step explanation:

because I said so

Answer:

3.5s2

Step-by-step explanation:

because that guy said so and it was right

A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Here we have.

-3(2x - 5) < 5*(2 - x)

First, we need to isolate x in one side, let's expand both sides:

-6x + 15 < 10 - 5x

15 - 10 < 6x - 5x

5 < x

This will be represented with a number line where we have an open circle at 5, and an arrow that goes to the right. So the correct option is:

"A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right."

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ1

Answer:

∠ DCF = 39°

Step-by-step explanation:

the secant- secant angle DCF is half the difference of the measures of the intercepted arcs, that is

∠ DCF = [tex]\frac{1}{2}[/tex] (EG - DF) = [tex]\frac{1}{2}[/tex] (127 - 49)° = [tex]\frac{1}{2}[/tex] × 78° = 39°

Answer:

this quantity refers to the amount that a container can hold.

The x-intercepts and the y-intercepts of the function is that determines the graph is:

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

Learn more about determining the graph of an absolute equation here:

https://brainly.com/question/2166748

#SPJ1

Step-by-step explanation:

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

[tex] \: [/tex]

[tex] = (f \circ f)(x)[/tex]

[tex] = f(f(x))[/tex]

[tex] = 2 {x}^{2} [/tex]

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

[tex] = 2(4 {x}^{4} )[/tex]

[tex] = 2.4 {x}^{4} [/tex]

[tex] = 8 {x}^{4} [/tex]

The answer is A.

Answer:

Least, Median and Greatest height of boys are all higher then Least, Median and Greatest of girls height

Step-by-step explanation:

Least height of boys: 158cm > 150cm Least height of girls

Median height of boys: 168cm > 165cm Median height of girls

Greatest height of boys: 182cm > 170cm Greatest height of girls

Considering the given scatter-plot, the line of best-fit is given by:

y = 0.77857t + 3.7.

To find the equation, we need to insert the points (t,y) in the calculator.

In this problem, considering the scatter-plot, we have that:

Hence, using the calculator, the equation is:

y = 0.77857t + 3.7.

More can be learned about line of best-fit at https://brainly.com/question/22992800

#SPJ1

The period of the graphed function is T = 8.

For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.

Here we can see the first peak at x = 1, and the second peak is at x = 9.

The horizontal distance is: 9 - 1= 8.

Then we conclude that the period of the function is T = 8.

If you want to learn more about period.

https://brainly.com/question/9565966

#SPJ1

Answer:

^ their right :)

Step-by-step explanation:

Its right on Acellus

have a great day!

The sum of the triangular numbers is [tex]\frac{n(n+1)(n+2)}{6}[/tex]

According to the question, the series of triangular numbers is given as in the form of the number of dots constituting the equilateral triangles i.e.
1, 3, 6, 10, 15 . . . . .n

triangular number are the sequence and series of the numbers and each number represents and constitute in visualization of  series of  equilateral triangle.

given series in the figure
1, 3, 6, 10, 15, . . . . . .  ., n
each number represents the number of dots containing in triangle
now the series can be given by
[tex]S = \frac{n(n+1)}{2}[/tex]  for n = 1, 2, 3, 4,. . . . .n
now , according to the question the sum of the series can be given as
⇒  ∑S
⇒   ∑[tex]\frac{n^2+n}{2}[/tex]
⇒  [tex]\frac{1}{2}[\sum n^2+\sum n]\\\frac{1}{2}[\frac{n(n+1)(2n+1)}{6}+\frac{n(n+1)}{2}] \\\frac{n(n+1)}{4}[\frac{(2n+1)}{3}+1] \\\frac{n(n+1)}{4}[\frac{(2n+1+3)}{3}] \\\frac{n(n+1)}{4}[\frac{(2n+4)}{3}] \\\frac{n(n+1)}{4}2[\frac{(n+2)}{3}]\\\frac{n(n+1)(n+2)}{6}[/tex]

Thus, the sum of the triangular number is given by [tex]\frac{n(n+1)(n+2)}{6}[/tex]

Learn more about triangular numbers here:
https://brainly.com/question/1417765

#SPJ1

The number of months before the complex would have 800 occupied units is 40 months.

The formula that can be used to determine the required value is:

(In FV / PV) / r

Where:

(In 800 / 15) / 0.1 = 40 months

To learn more about how to calculate the time, a value would be amassed, please check:  https://brainly.com/question/25760893

#SPJ1

Answer: 47.3 months

Step-by-step explanation:

The pair of limits that would verify the existence of a vertical asymptote at x = –1 is:

[tex]\lim_{x \rightarrow -1^-} = \infty, \lim_{x \rightarrow -1^+} = \infty[/tex]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

For a vertical asymptote at x = -1, the denominator is zero at -1, hence both lateral limits at x = -1 go to infinity, that is:

[tex]\lim_{x \rightarrow -1^-} = \infty, \lim_{x \rightarrow -1^+} = \infty[/tex]

More can be learned about vertical asymptotes at https://brainly.com/question/27949428

#SPJ1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

A line with two dots at ends (two ends) represents a line segment.

And it can be represented as :

[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞