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3 years ago

For what value of q is the equation -13(q + 4) = 7q + 16

Mathematics

1 answer:

Leno4ka [110]3 years ago

5 0

Answer:

Q = -3.4

Step-by-step explanation:

Our original equation is: -13(q+4)=7q+16

if we simplify this, we get: -13q-52=7q+16

Subtract 16 from both sides: -13q-68=7q

Add 13q to both sides to get: -68=20q

divide the equation to get this: -3.4=q

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The function p(x) = −2000x2 + 18000x − 15000 models the monthly profit P of a smoothie company, where x represents the price per

ohaa [14]

Answer:

Step-by-step explanation:

Givem the profit function

p(x) = −2000x2 + 18000x − 15000

We are to generate the price range that will generate a monthly profit of at least $25,000

Substitute into the function we have;

25000 = −2000x2 + 18000x − 15000

Divide through by 1000

25 = -2x²+18x-15

Rearrange

-2x²+18x-15-25 = 0

2x²-18x+40 = 0

Divide through by 2

x²-9x+20 = 0

Factorize

x²-5x-4x+20 = 0

x(x-5)-4(x-5) = 0

x-4 = 0 and x-5 = 0

x = 4 and x = 5

Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive

8 0

3 years ago

Select the correct answer from each drop-down menu.

Sergeu [11.5K]

Using translation concepts, it is found that the transformations to create function d are given as follows:

Horizontal shift right 1 unit.

Vertical shift up 5 units.

Frequency multiplied by 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.

5 was added in the range, hence there was a vertical shift up 5 units.

There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.

More can be learned about translation concepts at brainly.com/question/4521517

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5 0

1 year ago

lamar has 1354.5 Kilograms of potatoes to deliver equally to 18 stores 12 of the stores are Bronx how many kilograms of potatoes

Novay_Z [31]

903 kg of potatoes will be delivered to stores in Bronx

Solution:

Given that, lamar has 1354.5 Kilograms of potatoes to deliver equally to 18 stores

12 of the stores are Bronx

Number of stores in Bronx = 12

From given,

Kilograms of potatoe = 1354.5 kg

Total number of stores = 18

Let us first find the kilograms of potato delivered to 1 store

$\text{kg of potato to 1 store } = \frac{\text{Total kg of potato}}{\text{ total number of stores}}$

Substituting the values we get,

$\text{kg of potato to 1 store } = \frac{1354.5}{18} = 75.25$

Thus 75.25 kg potato is delivered to 1 store

How many kilograms of potatoes will be delivered to stores in Bronx

Number of stores in bronx is 12, so multiply 75.25 by 12

$\rightarrow 12 \times 75.25 = 903$

Thus 903 kg of potatoes will be delivered to stores in Bronx

3 0

3 years ago

CONDITIONAL PROBABILITY URGENT?

a_sh-v [17]

Let the event $A=\{ Horse \}, B=\{ Female \}$

The the probability of the events

$P(A \cap B)=\frac{2}{14+26} =\frac{1}{20}$

$P( B)=\frac{26}{14+26} =\frac{13}{20}$

The conditional probability

$P(Horse|Female)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/20}{13/20} =\frac{1}{13}$

8 0

3 years ago

1. A cone is 8cm high and has a base diameter of 12cm.its slant height is a.6cm b.8cm c.10cm d.12cm

Anit [1.1K]

Answer:

Step-by-step explanation:

it is Pythagoras theorem

6*6=36

8*8=64

64+36=100

square root of 100 is 10

4 0

3 years ago