3x^2-x=4
please help​

It's false. Consider f(x) = 1/x. This function is both continuous and decreasing on [1, ∞), and has a limit of 0 as x approaches infinity. But the integral diverges.

Answer:

answer: d

Step-by-step explanation:

Since the number of trials is not fixed, an inverse binomial distribution is used.

For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.

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Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

We first find the volume of water without the stone.

V1 = 10 *(π * 52) = 250 π , where π = 3.14

The volume of water and stone is given by

V2 = 13.2 *(π * 52) = 330 π

The volume of the stone is given by

V2 - v1 = 330 π - 250 π = 80 π

= 251.1 cm3

Answer:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.i hope this helps:)

Answer:

see below

Step-by-step explanation:   5 27  6  46

Corrie is 5 inches taller than Jason who is 4 ft. 9 in

Corrie must be 4 ft. 9 in + 5 in. = 5 ft. 2 in       or convert ft to inches and  add

          [4(12) + 9] + 5 = 62     62/12 = 5 ft. 2 in.

Jennifer is 8 in, shorter than Corrie so Corrie is (5 - 8) inches  (-3) inches taller than Jason or 3 in. shorter than Jason

Jennifer is   4 ft. 9 in - 3 in. = 4 ft. 6 in

The baby's weight at birth was approximately 7.1 pounds.

Given that

(1, 7.3) and (10, 9.1)

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

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

Using the values (1, 7.3) and (10, 9.1), we can find the slope of the line passing through these two points:

m = (9.1 - 7.3) / (10 - 1) = 0.2

The equation of the line is:

y = mx + b

To find the value of b, we can use one of the given data points

7.3 = (0.2(1) + b

Solving for b, we get:

b = 7.1

So the equation of the line is:

y = 0.2x + 7.1

To find the baby's weight at birth (i.e., when x = 0), we can substitute x = 0 into the equation:

y = 0.2(0) + 7.1

y = 7.1

Therefore, the baby's weight was 1 pounds.

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Answer:

i don't know this question but you can just measure it

Integral that would give the volume V generated by rotating the region bounded by the given curves will be 200 pi unit³

Finding the volume of rotation is similar to finding the area of the bounded region of the graphs of the functions. The only difference is the added component added due to the rotation of the bounded region. Now whether we are using disk method or cylindrical shell method to find the volume, we will first set up the integral and its limits of integration, then evaluate this integral.

To find the volume of the solid generated by rotating the region bounded by curves:

(y = x^3 and y = 0) around the y-axis

We use the Cylindrical Shells Method.

First, we need to set up the integral.

We have:

2π∫\(0^5\) x (\(x^3\)) dx.

To solve this integral, we use the power rule for integration.

This states that if we have an integral of \(x^n\), the antiderivative is

x^(n+1)/(n+1).

Therefore, the antiderivative of our integral is 2π∫\(0^5\) x (\(x^3\)) dx.. Now that we have the antiderivative, we can solve the integral by applying the fundamental theorem of calculus.

This states that the integral of a function is equal to the difference between the evaluated antiderivative at the upper and lower limits of the integral.

Therefore, the volume of the solid generated is

V = \([x^5/5]^5_0\) = 2π(\(5^5/5\)) = 200π\(unit^3\).

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The set containing the roots of the graphed quadratic function is given as follows:

{-3, 1}

The roots of a function can be obtained from the graph of the function, as they also represent the x-intercepts of the function.

The x-intercepts of a function are given by the values of x at which the graph of the function crosses the x-axis, which is the horizontal axis.

The values of x for which the graphed function crosses the x-axis are given as follows:

Hence the set containing the roots of the graphed quadratic function is given as follows:

{-3, 1}

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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9514 1404 393

Answer:

  3

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = 1. It appears that it also crosses the grid intersection at (1, 4). This represents a "rise" (change in y) of (4 -1) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

 m = rise/run = 3/1 = 3

The gradient of the graph is 3.

Answer:

30,000

Step-by-step explanation:

Answer:

A 6 Packages of buns and 5 packages of wieners.

Step-by-step explanation:

Because if you multiply 6x10 you get 60 and if you multiply 5x12 you get 60 exactly 1 wieners per bun

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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Answer:

$60.00

Step-by-step explanation:

First person:

$4.50

Second person:

3 times $4.50 = $13.50

Total of first two people:

$4.50 + $13.50 = $18.00

Third person:

$78.00 - $18.00 = $60.00

The third person pays $60.00

Answer:

Third Person pays: $60

Step-by-step explanation:

78.00 - 4.50 - 3(4.50) = 60

Answer:

Step-by-step explanation:

a, e, f

The inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is 202.5 + 36.39x ≤ 480.

What is an inequality?

An inequality is a comparison between two or more mathematical expressions. It can be of the form ≤, ≥, < or >.

We are given per day charges as $36.39 and the charges per mile as $0.90.

Also, it is given that in total 225 miles have been driven.

So, the charges of 225 miles are:

⇒225 x 0.90

⇒$202.5

It is given that he can spend maximum $480.

So, for the maximum number of x days, we get the inequality as

202.5 + 36.39x ≤ 480

Hence, the inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480.

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Answer:

Figure D.

Step-by-step explanation:

The given Figure is a cube , which is a three-dimensional shape that has six square faces, twelve edges, and eight vertices. All of its faces are congruent and perpendicular to each other.

Figure D will turn into Square box when it is folded. Rest all are either Cuboid or Irregular Shaped objects when folded.

Answer:

10x^2+4x+2

Step-by-step explanation:

f(g(x))= putting g(x) in the x place of f(x)

so f(g(x))=2(5x^2+2x)+2

=10x^2+4x+2

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

Answer:

x - 9

Step-by-step explanation:

First, distribute:

-3x - 9 + 4x

Then, simplify (add up x):

x - 9

And we're done ^^

Answer:

-3x -9 +4x

-3x + 4x - 9

x - 9

The answer is x - 9

you multiply -3 by x - 3

And there you go .

The relation which is a function among the answer choices is; A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.

A function is a relation in which each element of the domain is associated with exactly one element of the codomain.

A relation can be tagged a function if it describes that there should be only one output (y - value) for each input ( x - value). Put simply, a function is a kind of relation (defined by a set of ordered pairs) in which case, it ensures that every x-value is associated with only one y-value.

On this note, since the relation described in the first answer choice is such that every x-value is associated with only one y-value as it is a parabola (quadratic function), it is termed a function.

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m<1=130°[alternate angle are equal again]

m<1+m<2180°[linear pair]

m<2=180°-130°

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

If you have any questions feel free to ask me^^

Have a nice and great day!

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Answer:

1 1/4

Step-by-step

The oil left over after she makes the cake pops and cupcakes is 1.25 cups.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Stacy wants oil for the cake pops and cupcakes for her birthday party.

She needs 1/2=0.5 of a cup of vegetable oil for the cake pops and 1.5 times as much oil for the cupcakes.

So, oil required to make cupcakes is 1.5 ×1/2

= 1.5/2

= 0.75

Stacy has \(2\frac{1}{2}\) =2.5 cups of vegetable oil

Total vegetable oil used =0.75+0.5

= 1.25 cups

Oil left over is 2.5-1.25=1.25

Therefore, the oil left over after she makes the cake pops and cupcakes is 1.25 cups.

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a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.

b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).

El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración (\(a\)), en metros por segundo al cuadrado, es constante en el tiempo (\(t\)), en segundos.

a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:

\(x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}\)   (1)

Donde:

Si sabemos que \(x = 500\,m\), \(a = 0.8\,\frac{m}{s}\) y \(v_{o} = 0\,\frac{m}{s}\), entonces tenemos que el tiempo requerido es:

\(0.4\cdot t^{2}-500 = 0\)

\(t \approx 35.355\,s\)

El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. \(\blacksquare\)

b) La rapidez final (\(v\)), en metros por segundo, se determina con el siguiente polinomio de primer orden:

\(v = v_{o} + a\cdot t\)   (2)

Si sabemos que \(v_{o} = 0\,\frac{m}{s}\), \(a = 0.8\,\frac{m}{s^{2}}\) y \(t = 1250\,s\), entonces tenemos que la rapidez final es:

\(v = 0 + 0.8\cdot (35.355)\)

\(v = 28.284\,\frac{m}{s}\)   \(\left(101.822\,\frac{km}{h} \right)\)

La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). \(\blacksquare\)

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