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2 years ago

5

Shawn will build a rectangular shaped table that will have a length of 6 feet and an area of up to 78 square feet. Which inequal

ity represents all of the possible lengths in feet of the widths, w, that Shawn can use to build the table?
A: w ≥ 84

B: w ≥ 468

C: w ≤ 13

D: w ≤ 72

1 answer:

RSB [31]2 years ago

7 0

It’s A because when you add the anti force to the molecular cause of the yah

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Part A: Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Des

Alik [6]

The solution to the equations are:

9x² - 36x + 36 = 0 has two equal real solutions
x² - x + 4 = 0 has no real solutions
The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-36)² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x² - x + 4 = 0

The above equation can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-1)² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x² + 23 – 35

Evaluate the difference

4x² -12

Factor out 4

4(x² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

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7 0

2 years ago

Explain why each function is continuous or discontinuous. (a) The temperature at a specific location as a function of time (b) T

Mekhanik [1.2K]

Answer:

(a) The temperature at a specific location as a function of time.

This is a continuous function as the temperature cannot increase in an instant like time.

(b) The temperature at a specific time as a function of the distance due west from New York City.

This is a continuous function as the temperature in one location is affected by its neighboring places.

(c) The altitude above sea level as a function of the distance due west from New York City.

The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.

(d) The cost of a taxi ride as a function of the distance traveled.

This is a discontinuous function as the cost still raises if you make a stop.

(e) The current in the circuit for the lights in a room as a function of time.

This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.

The electron traveling speed makes this discontinuous.

3 0

3 years ago

How can 12x50 help you find 12x49

9966 [12]

The product of 12*50 can be used to find the product of 12*49 because it is only 12 more than the product of 12*49

8 0

3 years ago

Read 2 more answers

PLEAZZZZZZZZZZ HELP ASAP

stich3 [128]

QUESTION 1

GIVEN:

$long \: base = 3 \times (short \: base)$

$height = (short \: base) - 2$

$area = 30 {in}^{2}$

IMPORTANT EQUATIONS

$trapezoid \: area = \frac{sum \: of \: bases}{2} \times height$

SOLVE:

$30 = \frac{short + long}{2} (short - 2)$
$30 = \frac{(short + 3short)}{2} \times (short - 2)$

$30 = \frac{4short}{2} (short - 2)$

$30 = 2{(short)}^{2} - 4(short)$

${short}^{2} - 2(short) - 15 = 0$

factor:

$(short - 5)(short + 3) = 0$

$short = 3 \: and \: - 5$
Negative five is not a reasonable answer, so we focus on the positive three and say that is the length of the short base.

so, the answers:

$short \: base = 3 \: in$

$long \: base = 3 \times 3 = 9 \: in$

$height = 3 - 2 = 1 \: in$

QUESTION 2

GIVEN
convert 3ft to inches.

$l = 32 + w$

$area = lw = 130 {in}^{2}$
or

$w = \frac{130}{l}$

substitute

$l = 32 + \frac{130}{l}$

solve for l:

${l}^{2} - 32 l- 130 = 0$
QUESTION 3

$x(x + 2) = 80$

solve for X

${x}^{2} + 2x - 80 = 0$
$(x - 10)(x + 8) = 0$

$x = 10 \: and \: - 8$

take the positive value since it's the only one that makes sense in this context.

so the two values are:

$10 \: and \: 8$

8 0

3 years ago

3x - 10x + 5 = 5x + 17?<br> What is the solution to that equation

IgorLugansk [536]

<h2> $3x - 10x + 5 = 5x + 17$ </h2><h2> $- 7x + 5 = 5x + 17$ </h2><h2> $- 7x + 5 - 5x = 17$ </h2><h2> $- 7x - 5x + 5 = 17$ </h2><h2> $- 12x + 5 = 17$ </h2><h2> $- 12x = 17 - 5$ </h2><h2> $- 12x = 12$ </h2><h2> $x = \frac{12}{ - 12}$ </h2><h2> $x = - 1$ </h2>

7 0

3 years ago