Write a verbal expression for 5x cubed + 2

Answer:

[tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex] is an odd function.

Step-by-step explanation:

Let be [tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex], by Algebra this expression can be rewritten as:

[tex]f(x) = x^{3}\cdot (x^{2}+9)\cdot (x^{2}+2)[/tex]

Where [tex]x^{2} + 9[/tex] and [tex]x^{2}+ 2[/tex] are even functions, because they satisfy the condition that [tex]g(x) = g(-x)[/tex], whereas [tex]x^{3}[/tex] is an odd function, as the condition of [tex]h(-x) = - h(x)[/tex] is observed. Then, the overall function is odd.

[tex](a+b+c)^2=a^2 + 2 a b + 2 a c + b^2 + 2 b c + c^2\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\a^2+b^2+c^2=9^2-2\cdot26=81-52=29[/tex]

Answer:

1/4 or 25%

Step-by-step explanation:

Each dice has six sides, meaning the numbers that are even are: 2,4, and 6, three even numbers per dice. Meaning the chance of rolling ONE dice is 50%. So if you were to get two even numbers on TWO dice, it would be 25% hope this helps.

The odds in favor of rolling two even numbers when rolling a pair of dice would be 25% or 1/4.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Each dice has six sides, means the numbers that are even are:

2,4, and 6, three even numbers per dice.

The total number of outcomes is 6 x 6 or 36.

Meaning the chance of rolling ONE dice is 50%.

The odds in favor of rolling two even numbers when rolling a pair of dice would be 25%.

Learn more about probability here;

https://brainly.com/question/11234923

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Step-by-step explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

[tex]k = \frac{3}{2} [/tex]

So the formula for the variation is

When x = - 0.5 or - 1/2

[tex]y = \frac{3}{2} ( - \frac{1}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

The second table

Step-by-step explanation:

To create table of points using the function, [tex] f(x) = 3x^2 - 8x + 2 [/tex], substitute the value of x in each case.

Thus,

For x = -1,

[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 = 3(1) + 8 + 2 = 3 + 8 + 2 [/tex]

[tex] f(-1) = 13 [/tex]

For x = 0

[tex] f(0) = 3(0)^2 - 8(0) + 2 = 3(0) - 0 + 2 = 0 - 0 + 2 [/tex]

[tex] f(0) = 2 [/tex]

For x = 1,

[tex] f(1) = 3(1)^2 - 8(1) + 2 = 3(1) - 8 + 2 = 3 - 8 + 2 [/tex]

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

For x = 2,

[tex] f(2) = 3(2)^2 - 8(2) + 2 = 3(4) - 16 + 2 = 12 - 16 + 2 [/tex]

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

For x = 3,

[tex] f(3) = 3(3)^2 - 8(3) + 2 = 3(9) - 24 + 2 = 27 - 24 + 2 [/tex]

[tex] f(3) = 5 [/tex]

The second table is the correct answer.

Answer:

Rs.92.95

Step-by-step explanation:

Given the following :

Metres of cloth purchased = 24.5m

Metres of ribbon = 13.5m

Cost of cloth per metre = Rs.85.40

Cost of Ribbon per metre = Rs.8.50

Total amount given to shopkeeper = Rs. 2300

how much money will he get back?

Total cost of cloth:

Cost per metre * number of metres

85.40 * 24.5 = Rs. 2092.30

Total cost of Ribbon :

Cost per metre * number of metres

8.50 * 13.5 = Rs. 114.75

Total cost of goods purchased :

Rs. (2092.30 + 114.75) = Rs. 2,207.05

Amount of change :

Rs. (2300 - 2207.05) = Rs.92.95

Answer:

n=3s-2

Step-by-step explanation:

Step 1: Remove unnecessary parentheses (2s-1)

Step 2: Collect "Like Terms" (2s+s= 3s)

Last Step: Put them all together (n=3s - 2)

Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Step-by-step explanation:

Our total add is

= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When we spherical it up to nearest tens

7.95 = 8.00

8.11 = 8.00

78.5 = 79

8.05 = 8.00

79.4 = 79.0

0.815 = 1

when we estimate the rational numbers with an extra operation once done,our results is

= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.

for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.

Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.

Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong

Answer:

A

Step-by-step explanation:

- 2 ≤ 7 - x < 11

-9 ≤ - x         - x < 4

9 ≥ x           x > -4

Answer:

Hey there!

-2 ≤ 7 - x < 11

-9 ≤ - x < 4

9 ≥ x > -4

-4 < x ≤ 9

A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.

Let me know if this helps :)

Answer:

a) 55 degrees

b) 350 ft.

Step-by-step explanation:

a- the sum of angles of triangle=180

( since it is right angle , one angle is 90 degrees), x be the acute angle

x+35+90=180

x=180-125

x=55 degrees

b) tan 35= height of a tree/ length of a shadow

height of a tree=tan35*500=350.103≅350 ft ( rounded to nearest tens)

c)  hypotenuse²=350.1²+500²

c=√350.1²+500²

c=610.385 ft

d) no because the distance is more than 500

Answer:

Step-by-step explanation:

Cost price of three machines with repairment charge ( CP ) = 5400 × 3 + 4000

= Rs 20200

Selling price of 1 machine = Rs 7000

Selling price of 3 machines ( S.P )= Rs 7000 × 3

= Rs 21000

Since , SP > CP , he made a profit

Profit = SP - CP

= Rs 21000 - Rs 20200

= Rs 800

--------------------------------------------------------------

Further more explanation

Profit and loss

In any business , owners have intension to have profit by selling articles. The price at which an article is purchased is called it's Cost price ( C.P ) and the price at which it is sold is called Selling price ( S.P ).

If the selling price is less than cost price of an article then there is a loss.

[tex] \mathrm{Loss \: = \: Cost \: Price \: (C.P) - Selling \: Price \: (S.P)}[/tex]

If the selling price is more than cost price of an article then there is a profit ( gain )

[tex] \mathrm{Profit = Selling \: Price \: (S.P) - Cost \: Price \: (C.P)}[/tex]

So, If S.P > C.P, there is profit in dealing.

If C.P > SP , there is loss in dealing.

Hope I helped!

Best regards!!

Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

[tex] \sqrt{100 \times 5} [/tex]

[tex] \sqrt{ {10}^{2} \times 5 } [/tex]

We can move the 10² out because it matches the index of the root

[tex]10 \sqrt{5} [/tex]

Step 2: Input into calculator to find decimals

[tex]10 \sqrt{5} = 22.36[/tex]

Therefore the square root of 500 lies between 22 and 23

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

Answer:

Matrix multiplication is associative: ( A B ) C = A ( B C ) \displaystyle \left(AB\right)C=A\left(BC\right) (AB)C=A(BC).

Matrix multiplication is distributive: C(A+B)=CA+CB,(A+B)C=AC+BC. C ( A + B ) = C A + C B , ( A + B ) C = A C +

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

Answer:

$13.12 per hour

Step-by-step explanation:

Take the total pay and divide by the number of hours

$282.08/21.5 hours

$13.12 per hour

Answer:

Step-by-step explanation:

21.5 hours - $282.08

1 - ?

$282.08/21.5 = $13.12

Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.

A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.

Answer:

Empirical formula= COOH

Step-by-step explanation:

Molecular mass of the elements

Carbon= 12

Oxygen= 16

Hydrogen= 1

We divide the elements each with their molecular formula

Carbon= 2.4/12

Carbon= 0.2

Oxygen= 6.4/16

Oxygen= 0.4

Hydrogen= 0.2/1

Hydrogen= 0.2

Now we divide with the smallest result which is 0.2

Carbon= 0.2/0.2

Carbon = 1

Oxygen= 0.4/0.2

Oxygen= 2

Hydrogen= 0.2/0.2

Hydrogen= 1

So we have

Carbon 1, oxygen 2, hydrogen 1

Empirical formula= COOH

Answer:

x=0

Step-by-step explanation:

Lemma 1: 1a=a

Holds true for any real number a.

7^0=1

x=0

Answer:

x= 6 degrees

Step-by-step explanation:

x+x+54 = 90

2x+54 = 90

x= 90- 54 /2

x =6

Answer:

x = 6

Step-by-step explanation:

90 - 54 = 36

x + 5x = 6x

36 + 6x = 90

90 - 36 = 6x

36/6x = 6

x = 6

Answer:

The critical value of F for this situation is 2.975.

Step-by-step explanation:

A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.

The groups are divided as follows:

So, there were in total k = 4 groups with n = 30 rats.

The significance level of the test is, α = 0.05.

Compute the critical value of F as follows:

[tex]F_{\alpha, (k-1, n-k)}=F_{0.05, (4-1, 30-4)}=F_{0.05, (3,26)}=2.975[/tex]

*Use the F-table.

Thus, the critical value of F for this situation is 2.975.

The critical value of F for this situation has been 2.975.

The F value has been the statistical factor that has been used for the determination of the significance of the test.

The high F value has been the representation of the rejected null hypothesis, while the low  F value represents the accepted hypothesis. The study that has been performed with the rats has:

Number of groups of rats = k = 4

Total number of rats = n = 30

The 0.05 significance test has been performed, thus the value of α has been 0.05.

The value of F can be given as:

Critical value = [tex]\rm F_\alpha_\;_,(_k_-_1,_n_-_k_)[/tex]

Substituting the values:

Critical value = [tex]\rm F_0._0_5,_(_4_-_1,_3_0_-_4_)[/tex]

Critical value = 2.975

Thus, the critical value of F for this situation has been 2.975.

For more information about the F value, refer to the link:

https://brainly.com/question/11566053

Answer:

x= 4                x = -5

Step-by-step explanation:

3(x – 4)(x + 5) = 0

Using the zero product property

(x – 4)=0      (x + 5) = 0

x= 4                x = -5

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

x = –4 or x = 5

x = 3, x = 4, or x = –5

x = 3, x = –4, or x = 5

x = 4 or x = –5

Answer:

D. x = 4 or x = –5

Step-by-step explanation:

Answer:

x = 12.6 degrees

Step-by-step explanation:

Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.

m<A = m<E

63 = 5x

12.6 = x

So, x = 12.6 degrees

Cheers.

Answer:

bbbbklhlhjljkhk

Step-by-step explanation:qwertyuiosdfghnjm,

xcvbnm,.sdfghuijk;m./

Answer:

[tex]\Large \boxed{tens}[/tex]

Step-by-step explanation:

We want to find out what 8 is in the number 1,082.

Let’s see the value of each number.

The 1 in 1,082 is in the one thousand place.

The 0 in 1,082 is in the hundreds place.

The 8 in 1,082 is in the tens place.

The 2 in 1,082 is in the ones place

We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’

Therefore the value of 8 is in the tens place.

If you have any questions, be free to ask!

Answer:

[tex]W(t)=5(2^t)[/tex]

Step-by-step explanation:

Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:

[tex]W(t)=ab^t[/tex].

W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:

[tex]W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5[/tex]

Since the weight double every week, b = 2. The exponential function is given as:

[tex]W(t)=ab^t\\\\W(t)=5(2^t)[/tex]

Answer:

7000 (7 thousand)

700 (7 hundred)

20 (2 tens)

2 (2 units)

Step-by-step explanation:

what is the relationship between the values of the given digits?

1. The 7s in 7,700

2. The 2's in 522

From the knowledge of place values;

7,700 could be broken down thus :

7000 + 700 + 0 + 0

The first 7 depicts thousands as it has 3 trailing digits (7000)

The second 7 depicts hundred as it has 2 trailing digits (700)

522 could be broken down thus :

500 + 20 + 2

From 522

The first '2' has one trailing digit = tens

The ending / last digit ia always = Unit value

Answer:

approaching negative infinity

Step-by-step explanation:

Since as x increases, the values of f(x) are approaching infinity, the function approaches negative infinity as the end behavior.

Answer:

Below.

Step-step-explanation:

As x increases from negative infinity f(x) decreases in value .

As x increases to positive infinity f(x) decreases in value.

For values of x  on the negative side  the graph rises  to the left and on the positive x -axis it falls to the right.

Answer:

Longer than

Step-by-step explanation:

The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:

AC = FE, BC = DE

Also m∠C is greater than m∠E

∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF  therefore AB is greater than DF

From the given two triangles under the given conditions of congruency, we can say that;

Line segment AB is longer than Line segment FD.

The image showing both triangles is missing and so i have attached it.

Therefore, we can say that line AB and line FD do not have the same length.

Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.

Read more about congruency at; https://brainly.com/question/3168048

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

f(x) = 4(x + 6)² + 5

The above expression can be written as: f(x) = ax² + bx + c, by doing the following:

1. Expand (x + 6)²

(x + 6)² = (x + 6)(x + 6)

(x + 6)(x + 6)

x(x + 6) + 6(x +6)

x² + 6x + 6x + 36

x² + 12x + 36

(x + 6)² = x² + 12x + 36

2. Substitute x² + 12x + 36 for (x + 6)² in

f(x) = 4(x + 6)² + 5

This is illustrated below:

f(x) = 4(x + 6)² + 5

(x + 6)² = x² + 12x + 36

f(x) = 4(x² + 12x + 36) + 5

Clear bracket

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

Therefore, the standard of the function:

f(x) = 4(x + 6)² + 5

is

f(x) = 4x² + 48x + 149