Let f(x) = x² + 4x - 6 and g(x) = x + 2, find (f • g)(x).

Answer:

y-6.7=0* (x+3)

Step-by-step explanation:

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Ages after 10 year :

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]

[tex] \\ \\ [/tex]

So :

[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\[/tex]

[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\bf \dashrightarrow x = \pink 5[/tex]

[tex] \\ [/tex]

We know :

[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]

[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]

[tex] \\ \\ [/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]

[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]

And all we are done ! ㋛

The formula is a = (b1*b2)/2   .    

Step-by-step explanation:

one million, two hundred thirty-four thousand, seven hundred sixty-one

Answer:

(-4 , 2)

Step-by-step explanation:

      3y - 2x ≥ 8

The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.

3*2 - 2*(-4) ≥ 8

     6 + 8  ≥ 8

         14  ≥ 8

Using multiplication rules, it is found that the result of the multiplication will be a negative number.

Hence, in this problem we have that:

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Answer:

b=35 because 4+29=35 and that my statement for this answer so glad with the rest

Answer:

multiply them all together

Answer:

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

From the figure given above, angel < ABE = 40°

The angle of a straight line = 180°

That is angle <ABC = 180°

If <EBC is = 140°

Therefore, <ABE = 180 - 140

= 40°

Therefore, from the figure given above, angel < ABE = 40°

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Answer:

I dont see a correct answer but
D= 58t

Answer:

Here is the answer...hope it helps

Answer: y = (x/2)°

Step-by-step explanation:

The two angles are because they are opposite angles.

Answer:

$2,422.50

Step-by-step explanation:

$2,850- 15% (427.5)= 2422.5

You could also multiply $2850 * 0.85= $2,422.5

Answer:

D

Step-by-step explanation:

1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.

Answer:

2: area is ≈153.93804 and circumfrence is ≈43.9823

3: area is ≈706.85835 and circumfrene is ≈94.24778

Step-by-step explanation:

The formula for area is A = pi r^2

for 2 you would plug 7 in for r, then square it, then multiply it by pi.

for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.

The formula for cirumfrence is C = 2 pi r

for 2 you would multiply 7 by 2, then multiply that by pi

for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi

Answer:

32x^10y

Explanation -

You want to use distributive property. Take 2x^5 and the Exponent 2y^5

It should look like this

Answer:

Volume in terms of pi is 24

Step-by-step explanation:

formula for volume is pi x radius squared x height

3.14 x [tex]2^{2}[/tex] x 6=

75.36 then divide by pi

75.36/3.14=24pi in[tex]^{2}[/tex]

Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]

[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]

The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.

Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.

Total amount of time is:

2(1/4) + 5(1/2) + 3(3/4)

= 1/2 + 5/2 + 9/4

= (2 + 10 + 9)/4

= 21/4

= 5 ¼ hours.

Total time spent by students is: D. 5 ¼ hours.

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Answer:

Answer is 721.561 answer thanks

Answer:

78 HAMBURGERS!!!

Step-by-step explanation:

LET H BE THE NUMBER OF HAMBURGERS HOLD!!!

2H IS THE NUMBER OF CHEESEBURGERS BECAUSE THERE WERE 2 TIMES AS MANY CHEESEBURGERS SOLD AS HAMBURGERS!!!

H+2H=234 | THE TOTAL NUMBER OF CHEESEBURGER AND HAMBURGER SOLD!!!

3H=234 | ADD LIKE TERMS!!

DIVIDE BOTH SIDES BY 3 | ISOLATE THE VARIABLE!!!

H=78

THAT IS YOUR ANSWER!!!

- Khan Academy Advance!!!

Answer: 78 hamburgers

Step-by-step explanation:

      Let x be the number of hamburgers sold. We will write an equation for the problem and solve.

      2x + x = 234

      3x = 234

      x  = 78

       78 hamburgers were sold on Saturday.

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Answer :

the probability of tossing three heads in a row

[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]

…………………………………………

the probability of tossing two heads followed by one tail

[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]

……………………………

the probability of two heads and one tail in any order

[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]

Answer:

The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

count the dots

Answer:

20 students

Step-by-step explanation:

You just need to count the number of dots.

hope this helps

have a good day

The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given a polynomial:

x² + 4x + 7

As we know, the monomial has only one term.

The binomial has two terms.

The trinomial has three terms.

As we can see in the given polynomial there are three terms which is x², 4x, and 7.

Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

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