Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.

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Explanation:

Vertex form is

y = a(x-h)^2 + k

We are told the vertex is (3,-2), so we know (h,k) = (3,-2)

y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2

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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'

y = a(x-3)^2 - 2

3 = a(4-3)^2 - 2

3 = a(1)^2 - 2

3 = a - 2

3+2 = a

5 = a

a = 5

This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.

answer D

Step-by-step explanation:

Hello,

we can check the graph of the functions as attached or compute the vertex analytically

from the graph you can see that D is the correct answer

Answer:

34

Step-by-step explanation:

area = (1/2)base * height.

area= half of 17 times 4

a=8.5 x 4

a=34

Answer: C

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 x 4 x 17

= 34 sq inches

Answer:

17 - 4 + 16 - 2

13 + 14

27

Hope it helps!! Good luck on your assignment!! :)

Step-by-step explanation:

You have been given the equation: 17+(-4)-(-16)-2. Remember we can always use tricks to find the equation. Plus times Minus is Minus. Minus times Minus is plus. And Plus times Plus is Minus. I would appreciate if you mark me as brainliest!! :)

______________________________

Hey!!!

Solution

17+(-4)-(-16)-2

= 17-4+16-2

=17+16-4-2

=33-6

=27

Hope it helps

Good luck on your assignment

_____________________________

Answer:

0.49

Step-by-step explanation:

0.7^2 is the same as 0.7*0.7.  You just have to times them together!

Hope this helps!

The solution is z^2= 0.49.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have.

z^2=z*z

when z = 0.7

z^2= 0.7*0.7

     =0.49

0.7^2 is the same as 0.7*0.7.

Hence, the solution is z^2= 0.49.

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The amount of ABC will be at x = 34 days is, $2245.46.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.

Now, we can calculate the value of ABC by substituting x = 34 into the equation as;

y = 65.89(34) + 22.17

y = 2245.46

Therefore, the value of ABC at x = 34 days is approximately $2245.46.

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Answer:

1/3

Step-by-step explanation:

there's 6 total marbles and 2 are yellow so this can be expressed as 2/6 which can be simplified to 1/3.

hope it helps!

Answer:

1/3

Step-by-step explanation:

The total number of marbles

3 red marbles, 2 yellow marbles, and 1 blue marble = 6 marbles

P( yellow) = yellow / total

                 = 2/6

                 = 1/3

Answer:

[tex]19[/tex]

Step-by-step explanation:

[tex]3 + (6 -2) \times 4[/tex]

[tex]3 + (4) \times 4[/tex]

[tex]3 + 16[/tex]

[tex]=19[/tex]

Answer:

19

Step-by-step explanation:

use the other of operations

The value of ED is 4 units in the diagram.

It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.

It is required to find the ED.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have m ∠B = m∠AED both angles are equal.

And the m ∠A in the ΔADE and m ΔABC are the same.

By using the angle-angle similarity theorem ( ∵∠A=∠A)

[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]

Thus, the value of ED is 4 units in the diagram.

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Answer:

[tex]\frac{1}{3}[/tex]f + 5 = 23

Step-by-step explanation:

Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.

This is an equation representing the weight of Fabiola's dog:

[tex]\frac{1}{3}[/tex]f + 5 = 23

I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.

Answer:

The top section represents...........23 pounds

The bottom section represents..........5 + 1/3f

The equation is.........23 = 1/3f + 5

Step-by-step explanation:

Answer:

1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.

Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x

Answer:

a=5 b=0 c=3

Step-by-step explanation:

The quadratic equation is written as

ax^2 + bx+c =0

5x^2 +3 =0

5x^2 +0x  +3 =0

a=5 b=0 c=3

Answer:

B and E

Step-by-step explanation:

Answer:

B) 13/2 divided by 3/4 and E) 13/2(4/3)

Answer:

Option B

Step-by-step explanation:

Consider the steps below;

[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]

To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;

Solution ⇒ Option B

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

Answer:

B

Step-by-step explanation:

20x2 is 40, so 50x2 is 100

Answer:

BBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10

Answer:

17(a+b)

Step-by-step explanation:

17 is distributed in the initial equation to both the a and the b

Answer:

17(a+b)

Step-by-step explanation:

Factor out the common term

17a+17b

17(a+b)

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

Answer:

B

Step-by-step explanation:

-4<= 2t <2

-4/2<= t <2/2

-2<= t <1

(Its touches -2 but doesnt touch 1)

Answer:

Firstly you have to divide by 2 to get 't' so -4/2=-2

2/2=1

so the simplified inequality= -2<t<1

< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line

Answer:

true

Step-by-step explanation:

This is a true statement

To be a rectangle it must have 4 right angles and 2 pairs of parallel sides

A rhombus has 2 pairs of parallel sides so it is a parallelogram, but does not have to have 90 degree angles.    (Rhombuses with 90 degree angles are squares)

_________________________________

Yes,it is true.

Rectangle are just the special case of parallelogram where the angles are all 90 degree.All rectangles have 90 degree angles and with parallelogram that does not always have to be the case. Some parallelograms are squares,rhombus and many more.A parallelogram is a quadrilateral with 2 pairs of opposite,equal and parallel sides.

Hope it helps..

Good luck on your assignment

______________________________

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

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Answer:

[tex]62[/tex]

Step-by-step explanation:

[tex]2x^2+15x-1[/tex]

[tex]2(3)^2+15(3)-1[/tex]

[tex]2(9)+15(3)-1[/tex]

[tex]18+45-1[/tex]

[tex]=62[/tex]

[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]

Answer:

7.4999999988

Step-by-step explanation:

5/24=0.2083333333

5 is 20.8% of 24

36*0.2083333333=7.4999999988

Answer:

7.5

Step-by-step explanation:

x/36=5/24

x= 36*5/24

x= 7.5

Answer:

-4

Step-by-step explanation:

1-6+1=-4

Answer:

The answer is (2, -1, 3)

Step-by-step explanation:

Hope this helped.

Answer: the answer is A 5:3

Step-by-step explanation: