Find the minimum value of
C=x+3y

Answer:

function is a straight line, with a y-int of 1, passes VLT and HLT so it is 1:1

Step-by-step explanation:

f(x)= 2x+4

f(-2)= 2(-2)+4 = -4+4 = 0

f(-1)= 2(-1)+4 = -2+4 = 2

f(0)= 2(0)+4 = 0+4 = 4

f(1)= 2(1)+4 = 2+4 = 6

f(2)= 2(2)+4 = 4+4 = 8

idrk the features but i'll guess

Answer:

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este

Step-by-step explanation:

El movimiento del robot en Marte se da como sigue;

1) El desplazamiento sur = 25 m

2) El desplazamiento 15 ° al norte del este = 35 m

3) El desplazamiento 37 ° al norte del oeste = 20 m

Por lo tanto, tenemos la moción en forma vectorial;

1) -25[tex]\hat j[/tex]

2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]

3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]

Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;

R =  (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]

R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]  

La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m

La magnitud de R ≈ 17,4 m

La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °

La dirección de R ≈ -12,35 °

La dirección es aproximadamente 12,35 ° al sur del este

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este

Answer:

22

Step-by-step explanation:

66 ÷3=22

3= one third

Answer:

The answer is A because the answer to the equation is x^{2}= -6 and the 7 is negative

Step-by-step explanation:

Hope this helps :)

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[tex](9x + 17) + (3x + 7) = 180[/tex]

[tex]12x + 24 = 180[/tex]

Subtract sides 24

[tex]12x + 24 - 24 = 180 - 24[/tex]

[tex]12x = 156[/tex]

Divide sides by 12

[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]

[tex]x = 13[/tex]

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Answer: 3362

Step-by-step explanation:

Based on the question, the cost price for the shares will be:

= (850 × 45.20) + 1.5%(850 × 45.20)

= 38420 + 0.015(38420)

= 38420 + 576.3

= 38996.

Selling price will be:

= (850 × 41.9) + 19

= 35615 + 19

= 35634

Net capital loss = 38996 - 35634

= 3362

Answer:

segment AC is equal to A''B'' over 2

Step-by-step explanation:

Given that,

Scale factor = 2

The coordinates of A is (-3,3)

The coordinates of B is (1,-3)

The coordinates of C is (-3,3)

We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.

So.

[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]

It means, segment AC is equal to A''B'' over 2 is the correct answer.

Answer:B.the height of the candle when it starts to burn

Step-by-step explanation:

The y - intercept is 8. It represents the height of the candle when it starts to burn.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning.

We have -

h(t) = - t + 8

h(t) = - t + 8

Here, the y - intercept is 8. It represents the height of the candle when it starts to burn.

Therefore, the y - intercept is 8. It represents the height of the candle when it starts to burn.

To solve more questions on straight lines, visit the link below-

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Answer:

3x and 9x

Step-by-step explanation:

They both are with the variable x

Answer:

-29

Step-by-step explanation:

first do the f function which gets you g(-21)

then do the g function

Answer:

3/4

Step-by-step explanation:

Divide the numerator and the denominator by the greatest common factor of 18 and 24, 6.

[tex] \frac{18}{24} [/tex]

[tex] \frac{18 \div 6}{24 \div 6} [/tex]

[tex] \frac{3}{4} [/tex]

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).

The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.

Exponential functions are functions that are defined as [tex]y = ab^x[/tex]

Where:

Assume that a has positive value, and the b is greater than 1.

Then it means that, the function is an exponential growth function.

An exponential growth function that has a positive initial value will start with a level line, then curve up

Hence, the graph that represents an exponential growth function is (d)

Read more about exponential growth function at:

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Answer:

A

Step-by-step explanation:

Answer: y+2=-4/5(x-3)

Step-by-step explanation:

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

Learn more about equation, click;

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Answer:

Algebraic identities

Step-by-step explanation:

Here, we want to choose the correct method to factorize the given expression

That will be;

Algebraic identities

This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities

Answer:

Step-by-step explanation:

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Answer:

they are better because they are cheeper than the other

Answer:

Factor 3y23y2 out of 3y33y3.

3y2(y)−9y23y2(y)-9y2

Factor 3y23y2 out of −9y2-9y2.

3y2(y)+3y2(−3)3y2(y)+3y2(-3)

Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).

3y2(y−3)

Step-by-step explanation:

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Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

Answer:

y = 1/6x -13/6

Step-by-step explanation:

x-6y = 13

Subtract x from each side

x-x-6y =-x+ 13

-6y = -x+13

Divide each side by -6

-6y/-6 = -x/-6 + 13/-6

y = 1/6x -13/6

Answer:

2.1 * 10 ^3

Step-by-step explanation:

5.67  * 10 ^7 ÷2.7 x 10^4

Divide the numbers

5.67 / 2.7 =2.1

Divide the exponents

10^7 / 10 ^4

Remember when dividing power, we subtract the exponents

10 ^(7-4) = 10^3

Put this back together

2.1 * 10 ^3

Verify that this is in scientific notation

Since this is in scientific notation, we are done

Answer:

2.1x10 to the power of three

Step-by-step explanation:

\frac{5.67\times 10^7}{2.7\times 10^4}

2.7×10

4

5.67×10

7

​

Divide them.

\frac{5.67}{2.7}\times \frac{10^7}{10^4}

2.7

5.67

​

×

10

4

10

7

​

Divide numbers and 10's separeately.

2.1\times 10^3

2.1×10

3

Subtract exponents.

Answer:

Step-by-step explanation:

total meal cost = meal cost + tax cost + tip cost

[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]

The answer is 10.93

Step by step explanation

Answer:

y=x-2

Step-by-step explanation:

if you were to plot it onto a graph, the y intercept would be -2

Full question attached

Answer and explanation:

Since x = number of true or false questions correct

And y = number of multiple choice questions correct

And each question for x =2 points

each question for y=3 points

since she then needs a total score of more than 93 to pass, we add up total correct questions and

Inequality equation = 2x +3y >93

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:

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

Therefore the lengths of the triangle are:

[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units