Can someone help me with this? Please and thankyou!!

Answer:

D) (f o g)(x) = 10x² - 60x + 93

Step-by-step explanation:

f(x) = 10x² + 3

g(x) = x - 3

⇒ (f o g)(x)

⇒ f(x - 3)

⇒ f(x - 3) = 10(x - 3)² + 3

⇒ f(x - 3) = 10(x² - 6x + 9) + 3

⇒ f(x - 3) = 10x² - 60x + 90 + 3

⇒ (f o g)(x) = 10x² - 60x + 93

Answer:

[tex]\textsf{D)} \quad (f \circ g)(x)=10x^2-60x+93[/tex]

Step-by-step explanation:

[tex]\textsf{If }\:f(x)=10x^2+3\:\textsf{ and }\:g(x)=x-3\:\textsf{ then}:[/tex]

[tex]\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}[/tex]

Answer:

P = 0.5Q - 20

Step-by-step explanation:

P = kQ + c

substitute Q = 60 , P = 10 into the equation

10 = 60k + c → (1)

substitute Q = 240, P = 100 into the equation

100 = 240k + c → (2)

subtract (1) from (2) term by term to eliminate c

90 = 180k ( divide both sides by 180 )

[tex]\frac{90}{180}[/tex] = [tex]\frac{1}{2}[/tex] = 0.5 = k

substitute k = 0.5 into (1) and solve for c

10 = 60(0.5) + c

10 = 30 + c ( subtract 30 from both sides )

- 20 = c

then

P = 0.5Q - 20

Answer: The answer is D.

Answer:

it is d cause i really need to be nice so i think it is d

Answer:

A. x ≥ 5

Step-by-step explanation:

Given :

2x - 8 ≥ 22 - 4x

Add 8 to each side :

2x - 8 + 8 ≥ 22 - 4x + 8

2x ≥ 30 - 4x

Add 4x to each side :

2x + 4x ≥ 30 - 4x + 4x

6x ≥ 30

Divide both sides by 6 :

1/6 x 6x ≥ 1/6 x 30

x ≥ 5

Answer:

12 is johns age

Step-by-step explanation:

all you have to do is multiply johns age times 3 then you get your anser

Answer:

4 days

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Kevin starts with 0 poems but increases 3 each day

Let kevin = x

y = 3x

Anita has 4 poems to start with but increases 2 each day

Let anita = y

y = 2x + 4

As seen on this graph:

The point of intersection is (4,12)

The x axis being the number of days.

Thus the answer is D)

Answer:

Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker

Answer:

the distance between the CD points is 5

Step-by-step explanation:

(-4,-6) (1,6)

it takes 4 to get from -4 to 0 plus 1 to get to 1

so 4+1=5

Answer:

3052.08

Step-by-step explanation:

The volume of the given cylinder.

First, we'll have to find the raduis.

[tex]d = 2r [/tex]

[tex]r = \frac{12}{2} [/tex]

[tex]r = 6 \: in [/tex]

Now, we can work out the volume.

[tex]V = \pi {r}^{2} h[/tex]

[tex]V = \pi \times {6}^{2} \times 13[/tex]

[tex]V = 1470.26536 \: {in}^{3} [/tex]

[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]

Hence, the volume of the given cylinder is 1470.3 cubic inches.

A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.

Since A ∩ B = {4, 6}, we have

A - B = {2, 8, 10}

Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.

(A - B)' = {1, 3, 4, 5, 6, 7, 9}

Answer:

35.66

Step-by-step explanation:

Don't work with the mean given at first

1. Multiply the mean of class A by the number of students in class A

35 times 15=525

2. Multiply the mean of class B by the number of pupils in class B

36 times 29=1044

3. Add the answers you got

1044+525

4.Add the pupils of both classes

29+15=44

5.Then divide the total grades and pupils

1569/44 =35.659

6 Then round off

=35.66

Answer:

48 workers earn $75 a day.

Step-by-step explanation:

Let x people earn 75 a day then 60-x earn 100 dollars a day.

Average is $80 a day so total paid out to the 60 workers

= 60*80 = $4800.

So  75x + 100(60-x) = 4800

75x + 6000 - 100x = 4800

6000 - 4800 = 100x - 75x

1200 = 25x

x = 48.

Answer: 3

Step-by-step explanation: This equation can be written as 4x+3x-4=17

We can now solve.

Moving the 4 to the other side (adding) and we get 21.

Now we have 4x+3x. Adding like terms, we get 7x = 21. Now we divide by 7.

X = 3.

Answer:

-3/4

Step-by-step explanation:

Problem

-1 1/4 + 1/2

Comment

This combined with the number line is to help you visualize how fractions can be represented and how you find their sum.

The rule is move left when the number is minus. Move right when the number is plus.

so -1 1/4 = (4*-1   -1 )/4 = - 5/4

Start at 0 and move left. The number beside - 1 on the number  line is -5/4 Put an arrowhead on the line you just drew. The arrowhead should be just about -5/4.

Each mark on the number line is 1/4 away from the next quarter on the number line.

1/2 = 2/4

So since 1/2 is plus, you move right. You need 2 marks right of -5/4. You will find that is at -3/4

Done

[tex] \pink{\underline{\boxed{8a²+a-7}}}[/tex]

Solution :-

[tex]\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{8a^2+2a-a-7}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \Longrightarrow\sf{8a^2+1a-7}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{8a^2+a-7}[/tex]

[tex]\red{━━━━━━━━━━━━━━━━━━━━━━}[/tex]

The radius of the yaw mark to the nearest tenth of a foot is 11.2 ft

The minimum speed  11.1634 miles per hour.

Yaw marks are always curved. They are, initiated by a steering input. They're what's left from a tire that is still rolling but is simultaneously sliding laterally.

The formula for determining radius from a chord and middle ordinate is

[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]

To find the radius of the yaw mark, we have to use the formula

[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]

where c is the length of the chord and m is the middle ordinate

As the tires leave a yaw mark with a 31 foot chord and a middle ordinate of 3 feet.

So,

[tex]r^{2}= \frac{31^{2}}{8*3}+\frac{3}{2}[/tex]

[tex]r^{2}= 40.041 +1.5\\r^{2}=41.541[/tex]

Now to find the minimum speed, we are going to use the formula: [tex]s=\sqrt{15fr}[/tex]

where 'f' is drag factor and 'r' is the radius

drag factor is 0.2, f=0.2

and r= 41.541 ft

So, [tex]s=\sqrt{15* 0.2*41.541}\\s=\sqrt{124.623}\\s= 11.1634 mph[/tex]

The minimum speed before the brakes are applied was 11.1634 miles per hour.

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Answer:

A polygon is a plane figure.

Step-by-step explanation:

This means it is a 2 dimensional shape that lies flat, it has length and width, it has area but no thickness.

There is no max number of sides, so the first answer is not right.

In math, saying it is solid means its 3-d, so that is not right (it's only 2-d)

Saying its open, means that somewhere on the shape, the sides don't meet up at a corner, like an animal corral with the gate left open. So that's not right. Part of the definition of a polygon is that it is closed.

It is a 2-d shape with straight sides and closed, it lies flat in a plane. The last answer is correct.

Answer:

A polygon is a plane figure.

Answer:

Step-by-step explanation:

We can see that

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

Answer:

27.23 inches

Step-by-step explanation:

question wants circumference over 2π/3 radians

2π/3 times 180/π = 120 degrees

120 is 1/3 of 360

so question wants 1/3 of the circumference

circumference is π times diameter

π times 26 = 81.6814089933

81.6814089933 divided by 3 =

27.2271363311 =

27.23

Answer:

11. [tex]57^{6/8}[/tex]

12. [tex]Y^{14/2}[/tex]

13. [tex]m^{\frac{o+p}{n}}[/tex]

14. [tex]81^{\frac{3}{50+x}}[/tex]

15. [tex]5^{2/3}[/tex]

Step-by-step explanation:

When converting from radicals to rational exponents, there's a quick, easy rule to remember:

The "power" represents the exponent of the radical/radicand, while the "root" represents the index.

11. the eight root of fifty-seven to the sixth degree.

12. the square root of Y to the fourteenth power.

13. the nth root of m to the o plus p degree.

14. The fifth root plus x of eighty-one to the third power.

15. The cube root of five squared.

Answer:

  96 ft³

Step-by-step explanation:

A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.

The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is  [tex]h(x) = 4(3)^{x + 7} - 9[/tex]

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

The function h(x) is a translation of the exponential function given as

[tex]g(x) = 2(3)^{x - 4}[/tex]

We have to determine, the h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward of 9 units, and a horizontal shift to the right 7 units.

The function h(x) is vertically stretched by 2.

  [tex]h(x) = 2 (2(3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})[/tex]      

Vertically shift upward by 9,

[tex]h(x) = 4((3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})- 9[/tex]                    

And a horizontal shift to the right 7 units,

[tex]h(x) = 4((3)^{x - 7})- 9[/tex]                    

The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is  [tex]h(x) = 4(3)^{x + 7} - 9[/tex]

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Answer:

39 yd²

Step-by-step explanation:

Two rectangles can be formed here.

One smaller of the dimensions 5 × 3 yd

And another of 8 × 3 yd.

Total area = 5×3 + 8×3 (area of rect. = l×b)

= 15 + 24

= 39 yd²