How does the graph of f(x) = -4^5x - 3 differ from the graph of g(x) = -4^5x?

A. The graph of f(x) is shifted three units to the right of the graph of g(x).

B. The graph of f(x) is shifted three units down from the graph of g(x).

C. The graph of f(x) is shifted three units up from the graph of g(x).

D. The graph of f(x) is shifted three units to the left of the graph of g(x).

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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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

Answer:

130 cm³

Step-by-step explanation:

Volume of the pyramid = 1/3 × base area × height

Calculating base area;

Area = length × width

= 8 × 7

= 56 cm²

Now, Volume = ⅓ × 56 × 7

= ⅓ × 392

= 130.6 cm³.

Answer: y = (x/2)°

Step-by-step explanation:

The two angles are because they are opposite angles.

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

Answer:

y=4

Step-by-step explanation:

steps

3×9+4y=43

4y=43-27

4y=16

Divide both side by 4

4y/4=16/4

y=4

Answer:

I dont see a correct answer but
D= 58t

the measure of the radius is 2.9

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:

radius = 40 / 2 = 20ft

Circle area = πr² = π × 20² = 1256.6 sq. ft

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:

the answer is 5 and (-7,5)

Step-by-step explanation:

The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

Given that:

The points at which the circle is centered are (-3,2)

Passing points = (1,5)

The radius is calculated using the distance formula:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

Substituting the coordinates, we have:

d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]

 = [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]

 =[tex]\sqrt{(4^2 + 3^2)[/tex]

 = [tex]\sqrt{(16 + 9)[/tex]

  = 5

Therefore, the radius of the circle is 5 units.

The equation of a circle with center (h, k) and radius r is given by:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Substituting the values, we have:

[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]

[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]

[tex](-4)^2 + (y - 2)^2 = 25[/tex]

[tex]16 + (y - 2)^2 = 25[/tex]

[tex](y - 2)^2 = 9[/tex]

Taking the square root of both sides, we have:

y - 2 = ±3

Solving for y, we have two possible values:

y - 2 = 3    

y = 5

y - 2 = -3

 y = -1

The points (-7, 5) and (-7, -1) both lie on the circle.

Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

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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]

Answer:

32x^10y

Explanation -

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

It should look like this

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:

Here is the answer...hope it helps

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.

Answer:

y-6.7=0* (x+3)

Step-by-step explanation:

Answer:

multiply them all together

[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]

Step-by-step explanation:

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

Answer:

D

Step-by-step explanation:

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

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:

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]

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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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