Which graph represents the solution to the compound inequality?
-6<3x-12 s9
1 2
O
o3 6 9 12 15
O 30 369 12 15

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

Answer:

12.55

Step-by-step explanation:

The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given decimal numbers are 3.06 and 4.1.

Now, product =3.06×4.1

= 12.546

To the nearest hundredth is 12.55

Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.

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Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

Answer:

Education in Nepal was long based on home-schooling and gurukulas.[citation needed] The first formal school (Durbar School), established by Jung Bahadur Rana in 1853, was intended for the elite. The birth of Nepalese democracy in 1951 opened its classrooms to a more diverse population.[citation needed] Education in Nepal from the primary school to the university level has been modeled from the very inception on the Indian system, which is in turn the legacy of the old British Raj.[1]

Step-by-step explanation:

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Answer:

x=23.5

Step-by-step explanation:

[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]

The ladder can go as far as 3.1m

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

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Answer:

Solution in photo

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

Answer:

B. 36

Step-by-step explanation:

Answer:

(1, 2)

Step-by-step explanation:

From the graph attached,

Two lines are representing linear system of equation.

Since, solution of any system of linear equations is a common point of the two lines.

In other words, point of intersection of these lines represent the solution of linear system of equations.

Solution of the linear system of equations → (1, 2)

Answer:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

75 & 21

Check:

75 + 21 = 96

21 * 4 - 9 = 75

Correct!

Answer:

the smaller number is 21 and the larger number is 75

Step-by-step explanation:

First make a simple equation where x = the smaller number and y = the larger number

ie: 96=x+y

Now make an equation to find the larger number.

ie: y=4x-9

Now substitute the y value in the first equation for the y value in the second equation

ie: 96=x+(4x-9)

Then solve for x

ie: x=21

Then plug in your new x value into the first or second equation to solve for y.

ie: 96=21+y

ie: y=75

Answer: The triangles are not similar.

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

Explanation:

Create a 3x3 table. It has 3 rows and 3 columns.

Above the top row, we'll have the side lengths of triangle VUW

Along the left side of the table, we'll have the lengths of triangle LNM

Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.

Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.

After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.

Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.

Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

[tex]y = a(x - (-1))^2 + 3[/tex]

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

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Step-by-step explanation:

22+15x=34-17x

So now, the 34 will join the 22 and the 15x will join the -17x

22-34=-17x-15x

-12=-2x

So now, we divide both sides by -2x

and the negative will cancel negative so

x=6

Answer:

1. f(x)=0.25x+500

2.500

Step-by-step explanation:

well, it was right, and to be honest I don't know how I got it right cause I guessed

Step-by-step explanation:

Q1

A. x must be 0

B. x can be any number. it because every number times by 0 will be 0

Q2

(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =

2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =

2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =

2⁰ + 5² = 25

Q3

4.55 x 10¹³ - 1.78 x 10¹² =

45.5 x 10¹² - 1.78 x 10¹² =

43.72 x 10¹²

4,37 x 10¹³ kg

Q4

A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸

or in scientific we can write 9.56 x 10³⁸ ergs

B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter

Answer:

n = 5 ; n = -1

Step-by-step explanation:

n - 3 = 2

When you transfer (-3) to the other side of the equation, it turns into (+3).

n = 2 + 3

Evaluate.

n = 5

n + 3 = 2

When you transfer (+3) to the other side of the equation, it turns into (-3).

n = 2 - 3

Evaluate.

n = -1

Answer:

x=5

x=1

Step-by-step explanation:

|x-3|=2

x-3=2

x-3=-2

x=5

x=1

Answer:

D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.

Step-by-step explanation:

Find the complete diagram attached

First we need to get the derivative of the functions

For the function f(x) = 5x - 6

Using the formula

If f(x) = axⁿ

f'(x) = naxⁿ⁻¹

For the function f(x) = 5x - 6

f'(x) = 1(5)x¹⁻¹

f'(x) = 5x⁰

f'(x) = 5

For the function f(x) =x²-2

f'(x) = 2x²⁻¹

f'(x) = 2x

For the function f(x) = 4x+10

f'(x) = 1(4)x¹⁻¹

f'(x) = 4x⁰

f'(x) = 4

Get the domain

The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.

Hence Option D is correct

Answer:

Was the answer above correct????

Step-by-step explanation:

Answer:

$40 and $72, see below :)

Step-by-step explanation:

One way we can do this is to add the total ratios and then divide that from 112.

10x + 18x = 28x = 112

28x = 112

x = 4

That means, for every ratio, you just have to multiply the amount by 4.

so for example, 10 is just 10 * 4 = 40

So, your answer would be you share the money into $40 and $72