Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).​

Answer:

Step-by-step explanation:

9)  (25-x^2 )(a+2) = (5-x)(5+x)(a+2)

11) 9(v-3)+u^2(3-v)

   9(v-3)+u^2( -v+3)

   9(v-3)-u^2( v-3)

   (9-u^2)(v-3)

 (3-u)(3+u)(v-3)

Answer:

1=68 (Vertically opposite angles are equal)

2= 112 (sum of angles on a straight line gives 180°)

3=112 (vertically opposite angles are equal)

Step-by-step explanation:

Let running speed = x.

So, cycling speed = 2x.

Total distance traveled = 20 + 25 = 45km

Time taken running = 20/x

Time taken cycling = 25/2c

Total time taken = 5 hours

So, 5 = 20/x + 25/2x

Solving this equation for x gives:

10x = 65. Thus x = 6.5

Since cycling speed = 2x, cycling speed = (6.5)(2)

So cycling speed is 13 km/h.

Hope it helps.

They are the same amount. neither is greater or lesser than the other.

Answer:

Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees

No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.

In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.

Let's calculate the sum of the given angles:

Sum = 80° + 55° + 65°

       = 200°

Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.

In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.

Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.

To know more about Linear Angles here

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9514 1404 393

Answer:

  7+(7–7) ÷(7+7•7)= 7

Step-by-step explanation:

The difference 7 - 7 provides an opportunity to zero out everything to its right. That's what we've done in this version:

  7 +(7 -7) ÷ (7 +7×7) = 7 . . . our version of the equation

  7 +0 ÷ (7 +49) = 7 . . . . . multiplication inside parentheses first

  7 +0 ÷ 56 = 7 . . . . . . . . parentheses first

  7 +0 = 7 . . . . . . . . . . . . division before addition

The Answer is:

B) -3/2

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Answer:

1st onne I believe I couldd be wrong but thats what I got

Step-by-step explanation:

Step-by-step explanation:

i think is k , m , l

bcause 4 is the smallest number,

and 12 is the biggest number.

Answer:

19.20

Step-by-step explanation: used

a calc

Answer:

56.25 cm

Step-by-step explanation:

your teacher wrote the approach already : the law of sines.

in our example we have

sin(28)/27 = sin(102)/c

c×sin(28)/27 = sin(102)

c×sin(28) = 27×sin(102)

c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

Answer:

The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]

Step-by-step explanation:

Given data:

7x-c=k

Now,

7x-c=K

7x=K+c

[tex]x=\frac{k+c}{7}[/tex]

Therefore,

The value of x in given question will be : k+c/7

Answer:

It is a value that is an abnormal distance from the other values in a data set.

Step-by-step explanation:

An outlier is something that stands out from another thing. Such as color in a black and white film.

Answer:

x =  [tex]\sqrt{14}[/tex]

Step-by-step explanation:

[tex]\sqrt{7}[/tex] / sin(45) = x / sin(90)  (Cause its a square, the edges are 90 degrees)

[tex]\sqrt{14}[/tex] = x / 1

x = [tex]\sqrt{14}[/tex]

Answer:

S = 62.5%

Step-by-step explanation:

Given the following data;

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

[tex] S = \frac {5}{8} * 100 [/tex]

[tex] S = \frac {500}{8} [/tex]

S = 62.5%

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

Answer:

44.8 cm

Step-by-step explanation:

Given

See attachment for shapes

[tex]P_A= 56cm[/tex]

Required

The perimeter of B

Let the length of a side of the square that makes up A be, l.

So, we have:

[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l

[tex]56 = 10 * l[/tex]

[tex]l =\frac{56}{10}[/tex]

[tex]l =5.6[/tex]

The perimeter of B is:

[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l

[tex]p_B = 8*5.6[/tex]

[tex]p_B = 44.8[/tex]

Answer:

2

Step-by-step explanation:

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.

Answer:

x =62

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+118 = 180

Subtract 118 from each side

x = 180-118

x =62

Answer:

x = 62°

Step-by-step explanation:

These both angles are located at straight line.

So, the sum of both angles is 180 °.

x + 118 ° = 180 °

Subtract 118 ° from 180 °

x = 180 ° - 118 °

x = 62 °

Answer:

lesser x = -10.32

greater x = -3.68

Step-by-step explanation:

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Given:

In a right angle triangle,

Hypotenuse = 25 cm

Base = x

Angle between base and hypotenuse = 18 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (18^\circ) =\dfrac{x}{25}[/tex]

[tex]\cos (18^\circ) \times 25=x[/tex]

[tex]0.9510565 \times 25=x[/tex]

[tex]23.7764125=x[/tex]

Round the answer to the nearest hundredth (two decimal).

[tex]x=23.78[/tex]

Therefore, the value of x is about 23.78 cm.

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

Answer:

x=2

Step-by-step explanation:

Answer:

[tex]A: (-3,1)[/tex]

[tex]B:(-1,-1)[/tex]

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

[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]

[tex]=\sqrt{4+4}=\sqrt{8}[/tex]

[tex]=2\sqrt{2} =2.8[/tex]

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hope it helps..

have a great day sis ^_^!!!

Answer:

Coordinates of :-

A= (-3,1)

B= (-1,-1)

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

OAmalOHopeO

Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270