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3 years ago

Which statements are true about the linear inequality y > Three-fourthsx – 2? Select three options.

Mathematics

2 answers:

bekas [8.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

A,C,E is your answer.

Vilka [71]3 years ago

5 0

Answer:

Step-by-step explanation:

i) the given linear inequality is $y > \frac{3}{4} x - 2$

ii) the first statement is NOT TRUE. the slope of the is $\frac{3}{4}$ .

iii) the second statement is NOT TRUE. The area above the line is shaded.

iv) the third statement is NOT TRUE. (0,0) is not a solution to the inequality.

v) the fourth statement is TRUE.

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Alisiya [41]

Answer:

$y = -0.75x + 9.5$

Step-by-step explanation:

Equation of a circle is given as :

$(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\$

Take the derivative of the above with respect to x

$2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75$

The equation of the tangent is given by :

$y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5$

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3 years ago

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P(t)=4t-5; find p(r-2)

Sedaia [141]

Answer:

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Step-by-step explanation:

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3 years ago

an athletic director pays $90 for 12 visors, how much will the athletic director pay to buy 15 visors?

tankabanditka [31]

Answer:

sample What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

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3 years ago

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Fully factored form: f(x) = (x − 3)(x + 3)[x − (2 − i)][x − (2 + i)] The function has ____ real roots and ____ imaginary roots.

Lostsunrise [7]

2 real roots and 2 imaginary roots

f(x) = (x - 3)(x + 3 )(x-2 + i)(x - 2 - i)

(x - 3) and (x + 3) give real roots x = ± 3

(x - 2 + i)(x - 2 - i) give 2 imaginary roots x = 2 ± i

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4 years ago

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Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.5

inysia [295]

Answer:

Kyle filled 10 10-oz cups, 6 14-oz cups, and 13 20-oz cups

Step-by-step explanation:

In order to solve this question we first have to create a system of equations. If we let "a" represent the number of 10-oz cups, let "b" represent the number of 14-oz cups, and let "c" represent the number of 20-oz cups, then we can make the following 3 equations...

1. a + b + c = 29 (29 is the total number of cups)

2. 10a + 14b + 20c = 444 (444 is the total volume of the coffee)

3. 0.95a + 1.15b + 1.50c = 35.90 (35.90 is the total price of the coffee)

Now we can solve this system of equation by first representing "a" in terms of "b" and "c". We use the first equation, to do that...

a + b + c = 29

a = 29 - b - c

Now we substitute "a" with an equal value in terms of "b" and "c" which we found above.

10a + 14b + 20c = 444

10 (29 - b - c) + 14b + 20c = 444

290 - 10b - 10c + 14b + 20c = 444

4b + 10c = 154

Now we use the fully simplified equation above to represent "c" in terms of "b", and we get that...

4b + 10c = 154

10c = 154 - 4b

c = 15.4 - 0.4b

Now we take the third equation and substitute "a" and "c" with equivalent values, and we get an equation from which we can find the value of "b"...

0.95a + 1.15b + 1.50c = 35.90

0.95 (29 - b - c) + 1.15b + 1.50(15.4 - 0.4b) = 35.90

27.55 - 0.95b - 0.95c + 1.15b + 23.1 - 0.6b = 35.90

50.65 - 0.4b - 0.95(15.4 - 0.4b) = 35.90

50.65 - 0.4b - 14.63 + 0.38b = 35.90

36.02 - 0.02b = 35.90

0.02b = 36.02 - 35.90

0.02b = 0.12

b = 6

Now that we know what "b" equals to, we can find the value of "c".

c = 15.4 - 0.4b

(we found this formula when we represented c in terms of "b" previously)

c = 15.4 - 0.4(6)

c = 15.4 - 2.4

c = 13

Now we can find the value of "a" buy using the first formula and substituting "b" and "c" with their values...

a + b + c = 29

a + 6 + 13 = 29

a = 29 - 6 - 13

a = 10

Therefore Kyle filled 10 10-oz cups, 6 14-oz cups, and 13 20-oz cups.

7 0

4 years ago