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soldi70 [24.7K]

3 years ago

12

The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+8y. Which corner point of the shad

ed region will maximize the profit?

2 answers:

Alinara [238K]3 years ago

7 0

Answer:

(10,30)

Step-by-step explanation:

Right for A P E X

Rom4ik [11]3 years ago

6 0

Answer: (10,30)

Step-by-step explanation:

i got it wrong and it showed me the right answer

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What is the value of y in the sequence below?<br> 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

20 of the 80 coffee mugs at Carson's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty?

Dennis_Churaev [7]

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

3 0

3 years ago

Read 2 more answers

2. Change the following statements into coordinate points and then plot them!

GREYUIT [131]

Answer:

The points are (-1, 1), (2, 7), (1, -1), (3, 0)

Step-by-step explanation:

Let us solve the question

∵ f(x) = y

∴ The coordinates of the point are (x, y)

→ Let us use this fact to find the coordinates of each point

∵ f(-1) = 1

∴ x = -1 and y = 1

∴ The coordinates of the point are (-1, 1)

∵ f(2) = 7

∴ x = 2 and y = 7

∴ The coordinates of the point are (2, 7)

∵ f(1) = -1

∴ x = 1 and y = -1

∴ The coordinates of the point are (1, -1)

∵ f(3) = 0

∴ x = 3 and y = 0

∴ The coordinates of the point are (3, 0)

The graph is attached down

8 0

2 years ago

Which algebraic expression represents "the bagels were divided equally into fifteen bags"? 15 + b 157b StartFraction 15 Over b E

maria [59]

Answer: (d)- $\dfrac{b}{15}$

Step-by-step explanation:

Suppose 'b' is the number of bagels

It is to be divided into 15 bags

So, we use the divide operator i.e.

$\Rightarrow b\ \div\ \15=\dfrac{b}{15}$

5 0

3 years ago

Read 2 more answers

In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.

slamgirl [31]

Answer:

EB ≈ 1.563 in

Step-by-step explanation:

The diagonals of a rhombus divide the figure into four congruent right triangles. Angle DAB is bisected by EA, so angle EAB is 46°/2 = 23°. EB is the side opposite, so the relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(EAB) = EB/AB

EB = (4 in)sin(23°) . . . . . . multiply by the hypotenuse

EB ≈ 1.563 in

3 0

2 years ago