Find the maximum value of
C = 4x + 2y
Subject to the following constraints:
x > 0
y>0
2x + 2y < 10
3x + y < 9

Adding two linear functions results in a linear function, which could be represented as '16 x - 12' or '17 x - 12'. Multiplying two linear functions results in a quadratic function, which could be represented as '72 x² - 204 x + 144'.

In this scenario, when the two linear functions are being combined by addition and multiplication, it results in an expression that could be either linear or quadratic. When you add two linear functions together: f(x) = ax + b and g(x) = cx + d, the result is also a linear function: h(x) = (a+c)x + (b+d). Therefore, both 16 x - 12 and 17 x - 12 could be the result of an addition of two linear functions.

However, when you multiply two linear functions, you get a quadratic function: i(x) = (ax + b)(cx + d) = acx^2 + (ad+bc)x + bd. So 72 x² - 204 x + 144 could be the result of a multiplication of two linear functions.

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Answer:

×=8/3 and y=4/3

Step-by-step explanation:

-x-y=-4

-2x+4y=0

-2x=-4y

x=2y

so -2y-y= -4 and x= 2•4/3

-3y=-4 x=8/3

y=4/3

Answer:

wrong it is B.the associative property only

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Yes, -3 1/2 is a rational number.

We have,

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers.

-3 1/2 can be expressed as the fraction -7/2, where -7 is the numerator and 2 is the denominator.

Both -7 and 2 are integers, so -3 1/2 is a rational number.

Thus,

Yes, -3 1/2 is a rational number.

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Answer: c

Step-by-step explanation:

you must have not known the questions for the connections acadamy benchmark i may be your classmate

Answer:

32x+48

Step-by-step explanation:

All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.

8(4x)+8(6)

8(4x)=32x

8(6)=48

We therefore have as our answer

32x+48

Answer:

m= -4

Step-by-step explanation:

use the slope formula m=rise/run  y2-y1/x2-x1

Answer:

(x+3)(x−5)

Step-by-step explanation:

to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative

Hope this will help u..☝✌✌

Answer:

t = 0

Step-by-step explanation:

Step 1:  Solve for t

7 - 3 = 4 - t

4 - 4 = 4 - t - 4

0*-1 = -t*-1

0 = t

Answer:  t = 0

Answer:

490pi/3

Step-by-step explanation:

The volume of the cone is V=1/3*b*h, as shown in the image. The height is 10, the base is pi*radius^2, and the radius is 7 making V=1/3*10*pi*7^2 or 490pi/3 after the calculations

Hope this will help u...☝✌✌✌✌

Answer: $661.50

Step-by-step explanation:

Taylor makes $771.25 per week and makes twice that much in two weeks.

2×771.25=2(700+70+1+0.25)=1400+140+2+0.50

So Taylor makes $1542.50 in two weeks.

Miley makes $440.50 per week and so will make $881 in two weeks. Since

1542.50−881=742.50−81=741.50−80=701.50−40=661.50

We know that Taylor will make $661.50 more than Miley in two weeks.

Hope this helps!

Answer:

15 chaperones

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

5 × 5 × 5 = 125

Hope that helped.

Answer:

125

Step-by-step explanation:

5^3 is equivilent to 5*5*5

5*5=25

25*5=125

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

[tex]\frac{17}{3} = (angle)\frac{3}{\pi }[/tex]

Multiply by pi to get:

[tex]\frac{17\pi }{3} = 3(angle)[/tex]

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

Answer:

Susan is 5 years old

Step-by-step explanation:

Make a system of equations based on the info:

J=3S

M=J-5

J+M+S=30

Since we have the value of J, plug it in to either equation:

M=3S-5

Same deal with M:

3S+3S-5+S=30

7S-5=30

7S=35

S=5

So Susan is 5 years old

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

Answer:

The slope is -1/2 which is Option B

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example:  Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y= 2x + 5

First, you flip the sign which makes 2 into -2

Next, you make the reciprocal which makes -2 into -1/2

Answer:  The slope is -1/2 which is Option B

The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

Opposite → -2

Reciprocal → -1/2

Therefore, the answer is -1/2

Best of Luck!

24 hours

Step-by-step explanation:

1 hour

Painter1 1/40

Painter2 1/60

together 1/40+1/60=5/120=1/24

The time it would take them to paint a house working together is 24 hours.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Time = 40hours

Time for her assistant= 60hours

Now,

First, let’s find their individual rates. The painter can paint 1/40 of a house per hour and the assistant can paint 1/60 of a house per hour. To find their combined rate, we add these fractions:

1/40 + 1/60 = 3/120 + 2/120 = 5/120

This means that together they can paint 5/120 of a house per hour. To find how long it would take them to paint one whole house (or 1/1), we use the formula:

Work done = Rate × Time 1/1 = (5/120) × Time Time

= (120/5) × (1/1) Time

= 24 hours

Therefore, by work and time the answer will be 24 hours.

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Given that the recursive formula for a sequence is [tex]a_n=a_{n-1}+2n[/tex]

The first term of the sequence is [tex]a_1=4[/tex]

We need to determine the first four terms of the sequence.

Second term:

The second term of the sequence can be determined by substituting n = 2 in the recursive formula.

Thus, we have;

[tex]a_2=a_{2-1}+2(2)[/tex]

[tex]a_2=a_{1}+2(2)[/tex]

[tex]a_2=4+4[/tex]

[tex]a_2=8[/tex]

Thus, the second term of the sequence is 8.

Third term:

The third term of the sequence can be determined by substituting n = 3 in the recursive formula.

Thus, we have;

[tex]a_3=a_{3-1}+2(3)[/tex]

[tex]a_3=a_{2}+2(3)[/tex]

[tex]a_3=8+6[/tex]

[tex]a_3=14[/tex]

Thus, the third term of the sequence is 14.

Fourth term:

The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.

Thus, we have;

[tex]a_4=a_{4-1}+2(4)[/tex]

[tex]a_4=a_{3}+2(4)[/tex]

[tex]a_4=14+8[/tex]

[tex]a_4=22[/tex]

Thus, the fourth term of the sequence is 22.

Hence, the first four terms of the sequence is 4, 8, 14, 22.

The value of x is 10.

Solution:

Given triangle is a right triangle.

θ = 50°, adjacent side = 6, hypotenuse = x

The value of cos 50° = 0.6

Using trigonometric ratio formulas,

[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]

[tex]$\cos50^\circ=\frac{6}{x}[/tex]

[tex]$0.6=\frac{6}{x}[/tex]

Do cross multiplication, we get

[tex]x\times 0.6=6[/tex]

Divide by 0.6 on both sides, we get

[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]

x = 10

The value of x is 10.

Answer:

1. A

2. 128°

3. 112°

4. 20°

5. 125°

6. 35°

7. 158°

8. 140°

9. B

10. C

Answer:

q<5

Step-by-step explanation:

Since the line goes to the left of 5, q must be less than 5.

The open circle on 5 means that it cannot include 5.

Therefore, q is less than (<) five

Answer:

152

Step-by-step explanation:

3(11)= 33

4(33+5)

4(33)=132

4(5)=20

132+20=152

The value of the expression 4(3x + 5) when x = 11 is 152. This was calculated by replacing x in the equation with 11, simplifying the resultant equation and finally calculating the product.

The student has asked to compute the value of 4(3x + 5) when x = 11. This a problem in the field of Algebra, where 'x' is a variable and the equation 4(3x + 5) is an expression.

First, let's substitute x in the equation with 11. So the equation becomes 4(3*11 + 5). Let's simplify the equation. This gives us 4(33 + 5), which equals 4*38. Multiplying 4 by 38 gives us the final answer, 152.

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Answer:

A

Step-by-step explanation:

Perpendicular to x = -5 is going to be a horizontal line.

Since it passes through (1,3.14),

Equation is y = 3.14

Answer:

$22

Step-by-step explanation:

If she wants to own 26 necklaces. You take that number and subtract the four she already owns, leaving you with 22.

Answer:

She needs to spend $22.

Step-by-step explanation:

She has 4 necklaces. In order to have 26, she needs to buy more necklaces. How many does she need to buy?

We subtract 4 from 26.

26 - 4 = 22

She needs to buy 22 necklaces to have a total of 26 necklaces.

Each necklace costs $1.

22 necklaces cost 22 times $1.

22 * $1 = $22

Answer: She needs to spend $22.

Answer:

-4x-24=4x-14      x is 1

Step-by-step explanation:

solved in my head. please give me brainliest!!!!!

If you are looking for x it would be 1

Answer:

96y/z + 8x/z

Step-by-step explanation:

hope this helped

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]

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