Is the relation represented by the graph a function? Why or why not?

Answer:

(7, 6 )

Step-by-step explanation:

2x + y = 20 ( subtract 2x from both sides )

y = 20 - 2x → (1)

- 5y = - 6x + 12 → (2)

Substitute y = 20 - 2x into (2)

- 5(20 - 2x) = - 6x + 12 ← distribute parenthesis on left side

- 100 + 10x = - 6x + 12 ( add 6x to both sides )

- 100 + 16x = 12 ( add 100 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

Substitute x = 7 into (1)

y = 20 - 2(7) = 20 - 14 = 6

solution is (7, 6 )

Answer: (7,6)

Step-by-step explanation:

Answer:

5\sqrt{2} + \sqrt{10}

Step-by-step explanation:

I assume the exp as [tex]\sqrt{5} (\sqrt{10} + \sqrt{2} )[/tex]

[tex]\sqrt{50 } + \sqrt{10}[/tex]

[tex]\sqrt{25*2} +\sqrt{10}[/tex]

[tex]5\sqrt{2} + \sqrt{10}[/tex]

The simplified form of the given expression [tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )[/tex] will be  [tex]5\sqrt{2} + \sqrt{10}[/tex].

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The given expression is as follows;

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}[/tex]

Hence, the simplified form of the given expression is [tex]5\sqrt{2} + \sqrt{10}[/tex].

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Answer:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.

Answer:

Step-by-step explanation:

g(x) = ax - b

-76 = 27a - b

-79 = 28a - b           Subtract

3 = -a                       Multiply both sides by  -1

a = -3

g(x) = -3x - b

-85 = -3*30 - b

-85 = - 90 - b          Add 90 to both sides

90-85 = - b             Combine

5 = - b                     Multiply both sides by - 1

-5 = b

g(x) = -3x - b

g(x) = -3x - (-5)

g(x) = - 3x + 5

Answer:

x=2

Step-by-step explanation:

To solve for x, you want to isolate it. To do this, move terms that are NOT x and use the opposite operation to get it to the other side.

10x - 3 = 17

(Add 3 to both sides)

10x = 20

Now isolate x (since 10x is really 10 * x, you divide)

10x=20

x=2

This is how you would solve to get the solution.

Hope this helps :D

Answer:

3

Step-by-step explanation:

=> y= log _5 125

=> y = log _5 5³

Using properties of log ,

=> y = 3 log_5 5

= > y = 3*1

=> y= 3

[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]

y = 3

Hope it helps.

Do comment if you have any query.

Answer:

14.75 or 14 with remainder 6

Answer: 14.75

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3a+b - 4

Let a =3 and b = 5

3(3) +5 -4

Multiply

9+5-4

Add and subtract

14-4

10

Answer:

10

Step-by-step explanation:

= 3a + b - 4

= 3(3) + 5 - 4

= (3 . 3) + 5 - 4

= 9 + 5 - 4

= 9 + 1

= 10

Answer:

Volume = 254.3 inches². Step-by-step explanation: The formula for determining the volume of a cylinder is expressed as.Step-by-step explanation:

A) f(x) = 4•(2)^x

When substituting in the values of x and y into the functions, the only function that works for both (0,4) and (1,8) is A.

8 = 4•(2)^1 = 4 x 2 = 8

4 = 4•(2)^0 = 4 x 1 = 4

Answer:

Step-by-step explanation:

Given the algebraic expression,  [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

Recall:

Given an expression, say, [tex]2x^2 + 4x + 5[/tex].

Thus, we are given the expression, [tex]2x^2y[/tex],

The expression has only 1 term: [tex]2x^2y[/tex]

1 coefficient: 2

It has no constant.

Therefore, given the algebraic expression,  [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

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An exponential function is a function that increases rapidly as the time increases.

Reasons:

The function that gives the height of a beanstalk is presented as follows;

b(t) = [tex]3^t[/tex]

When the height is 30,000 ft., we have;

30,000 = [tex]3^t[/tex]

㏑(30,000) = t·㏑(3)

[tex]\displaystyle t = \mathbf{\frac{ln(30,000)}{ln(3)}} \approx 9.384[/tex]

The time it would take the beanstalk to grow 30,000 ft., t ≈ 9.384 hours

Similarly, the time it would take the beanstalk to grow to 36,000 ft. is found as follows;

[tex]\displaystyle t_{36,000} = \mathbf{\frac{ln(36,000)}{ln(3)}} \approx 9.55[/tex]

The time it would take the beanstalk to grow 36,000 ft., t ≈ 9.55 hours

The number of hours it will take the beanstalk to grow to 30,000 feet at

which it might interfere with commercial aircrafts is 9.384 hours.

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The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160

Inequalities shows the non equal comparison of numbers or expressions.

Let x represent the number of packages of 24 notepads and y represent the number of packages of 6 notepads

Since the organizers need to do at least 200 notepads, hence:

24x + 6y > 200

Also, they have a budget of $160. Let us assume that each 24 package cost $16 and each 6 package cost $5.40, hence:

16x + 5.40y ≤ 160

The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160

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Answer:

length = 100m

perimeter = 300m

Step-by-step explanation:

area=l×w

area=l×50

area=50l

5000=50l

l=100

perimeter =2(l+w)

perimeter=2(100+50)

perimeter =300m

brainlist please

Answer:

y = - x + 4

Step-by-step explanation:

First find slope:

6-1/-2-3 = 5/-5 = -1

Then plug one point and slope into point slope form: y-y1 = k (x-x1)

Plug in (3, 1) and slope -1 --> y-1 = -1(x-3)

Simplify --> y - 1 = - x + 4

Then add 1 to both sides --> y = -x + 4

Answer:

6

Step-by-step explanation:

[tex]\sqrt{6} *\sqrt{6}[/tex]

[tex]\sqrt{6*6} \\\sqrt{6^2}[/tex]

6

Answer:

Chocolate for sure XD

Step-by-step explanation:

Hope this helps!! lol

Step-by-step explanation:

Answer:

I think it is Orthocenter

Answer:

Point S is the center of gravity of the triangle. And it has a property to divide all the edges evenly.

Answer:

10 weeks

Step-by-step explanation:

Initial weight: 40

1 week =  0.2 lbs lost

40 - 38 = 2 lbs lost (goal)

x = number of weeks

0.2*x = 2

0.2x = 2

x = 10

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Answer:

x = - 1

Step-by-step explanation:

Length ( l ) = 2x + 8 cm

Width / Breadth ( b ) = 2 cm

Area ( rectangle ) = 12 cm

Formula : -

Area ( rectangle ) = lb

12 = ( 2x + 8 ) ( 2 )

Divide 2 on both sides,

12 / 2 = ( 2x + 8 ) ( 2 ) / 2

6 = 2x + 8

2x + 8 = 6

2x = 6 - 8

2x = - 2

x = - 2 / 2

x = - 1

Answer:

m< WXZ = 73

m< ZXY = 87

Step-by-step explanation:

WXY = WXZ + ZXY

WXY = 5x+8+7x-4

WXY = 12x+4

m < WXY = 160

160 = 12x + 4

156 = 12x

13 = x

WXZ = 5x + 8

= 5*13 + 8

= 73

ZXY = 7x - 4

= 7*13 - 4

= 87

[tex]\\ \sf\Rrightarrow 5x+8+7x-4=160[/tex]

[tex]\\ \sf\Rrightarrow 12x+4=160[/tex]

[tex]\\ \sf\Rrightarrow 12x=156[/tex]

[tex]\\ \sf\Rrightarrow x=13[/tex]

Answer:

Mixed Number: 5 [tex]\frac{7}{10}[/tex]

Improper Fraction:[tex]\frac{57}{10}[/tex]

Step-by-step explanation:

A mixed number is when you express the decimal as a fraction, 0.7 is the same as [tex]\frac{7}{10}[/tex], so 5[tex]\frac{7}{10}[/tex] is your answer.

An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as [tex]\frac{5}{1}[/tex], by [tex]\frac{10}{10}[/tex].

[tex]\frac{5}{1}[/tex]·[tex]\frac{10}{10}[/tex]=[tex]\frac{50}{10}[/tex]

Then add 0.7, or [tex]\frac{7}{10}[/tex].

[tex]\frac{50}{10}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{57}{10}[/tex]

Would you please mark my answer brainliest if it helped you? :D

Answer:

It is 77 degrees

Step-by-step explanation:

Since line M and N are parralell, the angles are the same

Answer:

X=77

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Alternative angle thingies are equal

Answer:

f(g(x)) = 2(7 - x) + 1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 7 - x

The question in the picture itself says to find f(g(x)) so i'll find that instead

f(g(x)) = 2(7 - x) + 1

f(g(x)) = 14 - 2x + 1

f(g(x)) = -2x + 15

Step-by-step explanation:

option D is correct according to my understanding

hope this answer helps you dear! take care