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3 years ago

HURRYYYYY

Mathematics

1 answer:

Troyanec [42]3 years ago

7 0

Answer:

B is correct.

Step-by-step explanation:

Quadratic Expression (Standard Form) is:

$\displaystyle \large{a {x}^{2} + bx + c}$

To say it simply, the expression must have 2 as the highest degree.

This means that if there are any higher or lower degrees than 2 then they are not quadratic expression.

A choice is not quadratic expression because it has 1 as the highest degree.

B choice is correct because 2 is the highest degree.

C choice is wrong because 3 is the highest degree.

D choice is wrong because it is not a polynomial.

Therefore, B is correct.

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An arc 28 cm is cut from a circle of radius 15 cm. Find the angle of the sector formed by this arc.

Nutka1998 [239]

Answer:

$\displaystyle \frac{28}{15}\; \text{radians}$ , which is approximately $107^{\circ}$ .

Step-by-step explanation:

In a given circle, the angle of a sector is proportional to the length of the corresponding arc:

$\displaystyle \frac{\text{angle of sector $1$}}{\text{angle of sector $2$}} = \frac{\text{length of arc of sector $1$}}{\text{length of arc of sector $2$}}$ .

For the circle in this question, $r = 15\; \rm cm$ , and the circumference would be:

$2\, \pi \, r = 30\, \pi\; \rm cm$ .

The full circle itself is like a sector with an angle of $2\, \pi$ , with the arc length equal to the circumference of the circle.

$\displaystyle \frac{\text{angle of sector}}{\text{angle of full circle}} = \frac{\text{length of arc of sector}}{\text{circumference of circle}}$ .

$\displaystyle \frac{\text{angle of sector}}{2\,\pi\; \rm rad} = \frac{28\; \rm cm}{30\, \pi\; \rm cm}$ .

Rearrange the equation to find the angle of the sector:

$\begin{aligned} & \text{angle of sector} \\ =\; & (2\,\pi\; \rm rad) \cdot \frac{28\; \rm cm}{30\, \pi\; \rm cm} \\ =\; & \frac{28}{15}\; \rm rad\end{aligned}$ .

In other words, the angle of this sector would be $\displaystyle \frac{28}{15}\; \rm rad$ . Multiply that measure in radians by $\displaystyle \frac{360^{\circ}}{2\,\pi\; \rm rad}$ to find the value of the angle measured in degrees:

$\begin{aligned} & \frac{28}{15}\; \rm rad \times \frac{360^{\circ}}{2\,\pi\; \rm rad} \approx 107^{\circ}\end{aligned}$ .

7 0

3 years ago

Let |x| + |y| = c where, c is s real number. Determine the number of points that would be on the graph of the equation for each

IRINA_888 [86]

Answer:

0
1
an infinite number

Step-by-step explanation:

Case 1

The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.

Case 2

The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)

Case 3

There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.

8 0

3 years ago

A salesperson earns a base salary of $50,000 plus a commission of $300 for every unit sold. Which type of model best fits this s

timofeeve [1]

Answer:

Linear model.

Step-by-step explanation:

Let x be the number of units sold by salesperson.

We have been given that a salesperson earns a base salary of $50,000 plus a commission of $300 for every unit sold. So commission earned for x units will be 300x.

The total amount earned by salesperson after selling x units will be commission for x units plus base salary.

$\text{Total amount earned by salesperson}=300x+50,000$

We can see that the total income of salesperson is in slope-intercept form: $y=mx+b$ , where, m represents slope and b represents y-intercept.

Upon comparing the total income of salesperson with slope-intercept form of equation we can see that 300 is slope and 50,000 is y-intercept, therefore, a linear model will best fits the given situation.

7 0

3 years ago

WILL MARK FIRST ANSWER BRAINILEST. NEED ANSWER ASAP

kherson [118]

Answer:

Blank 1 : 3, Blank 2 : 0

Step-by-step explanation:

I hope this helps :)

3 0

3 years ago

I need help please ????????

olga55 [171]

Answer:

5,150 bigger

Step-by-step explanation:

5,500-350= that answer hope this helps

4 0

3 years ago