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Gelneren [198K]
3 years ago
14

Please HELPppppppppppppppp

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

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Which inequality or inequalities have the same solution as 10≤x+4? 0≤x+14 6≤x 14≤x 0≤x−6
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Answer:

6 ≤ x and 0 ≤ x - 6

Step-by-step explanation:

The original equation of inequality is 10 ≤ x + 4 ....... (1)

It gives 6 ≤ x or 0 ≤ x - 6

Therefore, 0 ≤ x + 14 does not mach with the inequality (1).

And the same solution will not be there for them.

Again, 14 ≤ x also does not match with inequality (1).

And the same solution will not be there for them.

Therefore, 6 ≤ x and 0 ≤ x - 6 gives the same solution as (1).

(Answer)

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3 years ago
The correlation coefficient describes the degree of ________ between two _________ variables. Multiple choice question. linearit
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Th association between two quantitative variables is measured by the correlation coefficient.

Thus, correlation coefficient, r, which ranges from 1 to -1, it shows the strength of linear association between two random variables that are normally distributed.

In summary, the correlation coefficient is defined as the degree of <u>linearity</u> between two <u>quantitative</u><u> </u> variables.

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brainly.com/question/4219149

3 0
2 years ago
He graph shown represents the funds in Sasha's checking account for 16 days.
ss7ja [257]
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I hope my answer helped you. Feel free to ask more questions. Have a nice day!
8 0
3 years ago
Read 2 more answers
Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the a
juin [17]

The average amount of corn produced per acre represented in scientific notation can be found using the below formula:

The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres}

We are given:

Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\;  \times \; 10^4 \; bushels

Substituting the above information in the formula, we get...

The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\;   1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\

Conclusion:

The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn

The average amount of corn produced per acre represented in scientific notation is option B)1.6 \times 10^2bushels per acre

5 0
3 years ago
Read 2 more answers
6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
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