Which interval notation represents the set of all numbers from -3 to 0, inclusive?

f(x)=5x^2-11x+18

[tex]\\ \sf\longmapsto f(2.4)[/tex]

[tex]\\ \sf\longmapsto 5(2.4)^2-11(2.4)+18[/tex]

[tex]\\ \sf\longmapsto 5(5.76)-26.4+18[/tex]

[tex]\\ \sf\longmapsto 28.8-26.4+18[/tex]

[tex]\\ \sf\longmapsto 2.4+18[/tex]

[tex]\\ \sf\longmapsto 20.4[/tex]

And

[tex]\\ \sf\longmapsto f(-3)[/tex]

[tex]\\ \sf\longmapsto 5(-3)^2-11(-3)+18[/tex]

[tex]\\ \sf\longmapsto 5(9)+33+18[/tex]

[tex]\\ \sf\longmapsto 45+51[/tex]

[tex]\\ \sf\longmapsto 96[/tex]

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The quadratic expression is given below.

⇒ 5x² - 11x + 18

The value of the expression at x = 2.4, then the value of the expression will be

⇒ 5(2.4)² - 11(2.4) + 18

⇒ 28.8 - 26.4 + 18

⇒ 20.4

The value of the expression at x = -3, then the value of the expression will be

⇒ 5(-3)² - 11(-3) + 18

⇒ 45 + 33 + 18

⇒ 96

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

More about the value of expression link is given below.

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Answer:

subtraction property of equality

2x +2 - 2 = 10 - 2

Answer:

32.

Step-by-step explanation:

Let the number of red marbles be x then the number of blue = 2x

So we have 8 red and 16 blue marbles.

If the total number of marbles are y marbles the number of white one = y/4.

So  y = y/4 + 8 + 16

3/4y = 24

y = 24 * 4/3

= 96/3

= 32 marbles.

=

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

Answer:

It's Associative Property of Multiplication.

                                    Thank You

Answer:

47

Step-by-step explanation:

8(4) + 2(6) + 3 = 47

32 + 12 + 3 = 47

Answer:

[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]

Step-by-step explanation:

Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.

Answer:

what is this lol can u tell u

Answer: no

Step-by-step explanation: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

x= HJ+27/7

Step-by-step explanation:

HJ + 27 = 7x

HJ+27/7 = x

Answer:

25% increase

Step-by-step explanation:

= [tex]\frac{150-120}{120}[/tex] x 100

= [tex]\frac{30}{120}[/tex] x 100

= 0.25 x 100

= 25% increase

Answer:

Step-by-step explanation:

[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]

Answer:

Hi, there!

Lines of latitude are also called parallels because they never touch one another.

Step-by-step explanation

Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:

Answer:

Movements of tectonic plates create volcanoes along the plate boundaries, which erupt and form mountains. A volcanic arc system is a series of volcanoes that form near a subduction zone where the crust of a sinking oceanic plate melts and drags water down with the subducting crust.

Answer:

A. 10

Brainliest, please!

Step-by-step explanation:

(1, 2)(x, 5) = 1/3

5 - 2 / x - 1 = 1/3

3 / x - 1 = 1/3

x - 1 = 3 / 1/3

x - 1 = 9

x = 9 + 1

x = 10

The answer you are looking for is 1/5(a+34).

Solution/Explanation:

"Of"="multiplication (x)."

So, therefore, write it like this, to get the better picture and visualization,

1/5 times the sum of a number "a" and "34."

"Sum" obviously is related to "addition."

So, therefore, we can simplify the algebraic expression a little bit more,

1/5 times (a+34).

Now, we can finally write it like this.

1/5x(a+34).

The more proper way to write it, however is like this:

1/5(a+34).

So, therefore, the final answer is 1/5(a+34).

I hope that this has helped you. Enjoy your day, and take care!

The given statement is required in the form of an algebraic expression.

The statement is a fifth of the sum of number a and 34.

The sum means addition

So, the sum is [tex]a+34[/tex]

The statement states a fifth of which, means multiplied by [tex]\dfrac{1}{5}[/tex]

The algebraic expression will be the product of [tex]\dfrac{1}{5}[/tex] and [tex](a+34)[/tex]

The algebraic expression is [tex]\dfrac{1}{5}(a+34)[/tex]

Learn more:

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Answer:

$1170

Step-by-step explanation:

you will have to multiply the the rate you earn hourly by 45hours then it will state the more you'll be making hourly $26×45=$1170

Answer:

28

Step-by-step explanation:

AB + BC = AC

14 + 3x-4 = 4x+4

Combine like terms

10 +3x = 4x+4

Subtract 3x from each side

10+3x-3x = 4x+4-3x

10 = x+4

Subtract 4 from each side

10-4 =x-4+4

6 =x

We want AC

AC = 4x+4 = 4*6+4 = 24+4 = 28

Let's see

AC

4(6)+4=24+4=28

interval notation of x<2

x=1

Answer:

7b(a+2)

Step-by-step explanation:

First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.

Then find the variable both terms share.

Put the GCF coeffiecnt and the variable both terms share outside the parentheses.

Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.

For example, 7ab+14b.

Set up equation.

[tex]7ab + 14b[/tex]

Both terms share a b variable and 7 and 14 GCF is 7 so

let factor out 7b.

[tex]7b(a + 2)[/tex]

Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get

[tex]a + 2[/tex]

Answer:

a. $2100 b. $945000

Step-by-step explanation:

You have to divide 525000 and 250 to solve for "a". To solve for "b" you need to find %100 of the profit and do %100 of the profit times 0.45 to see how much is %45 of profit.

Answer:

it ebtween 10 and negetive 4.5

Step-by-step explanation:

Answer:

RS = 17

Step-by-step explanation:

QS = 62

RS = ?

QR = 45

QS - QR = RS

62 - 45 = 17

Thus RS = 17

Answer:

-2 degrees per hour

Step-by-step explanation:

Rate of change = -3 1/2 / 1 3/4

= -7/2 / 7/4

= -7/2 * 4/7

= -28/14

= - 2

Answer:

1/3 = .3333333 forever

Step-by-step explanation:

It's a decimal that doesn't terminate.

Answer:

19

Step-by-step explanation:

g(x) = x^2 +3

substituing x for 4,

g(4) = 4^2 + 3

g(4) = 16 + 3

g(4) = 19

Answer:

Step-by-step explanation:

Sin² x - Cos² x  = (1 - Cos² x ) - Cos² x                {Sin² x + Cos² x = 1}

                          = 1 - 2Cos² x

                         = - (2Cos x -1)

                          [tex]= -(\dfrac{2}{Sec^{2} x} - 1)\\\\=-(\dfrac{ 2}{Sec^{2} \ x}-\dfrac{Sec^{2} \ x}{Sec^{2} \ x})\\\\=-(\dfrac{2-Sec^{2} \ x}{Sec^{2} \ x})\\\\=\dfrac{2-Sec^{2} \ x }{-Sec^{2} \ x}[/tex]

                          Hence proved

Answer: 174

Step-by-step explanation:

Answer:

you have to substitute the value of the variables then solve

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18