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3 years ago

Using the slope of 7 and y-intercept of (0, 16), write an equation of the line

Mathematics

1 answer:

Katen [24]3 years ago

6 0

Answer:

y = 7x + 16

Step-by-step explanation:

Slope (m) = 7

y - intercept (b) = 16..{from (0, 16)}

Equation of line in slope intercept form is given as:

$y = mx + b \\ \therefore \: y = 7 \times x + 16 \\ \huge \red{ \boxed{ \therefore \: y = 7 x + 16 }}$

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Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of th

soldier1979 [14.2K]

Answer:

$\frac{9}{20}$ students.

Step-by-step explanation:

We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

$\text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}$

$\text{Students who play a sport and a part of the drama club}=\frac{3}{4}\times \frac{3}{5}$

$\text{Students who play a sport and a part of the drama club}=\frac{3\times 3}{4\times 5}$

$\text{Students who play a sport and a part of the drama club}=\frac{9}{20}$

Therefore, $\frac{9}{20}$ students play sport and part of the drama club.

5 0

3 years ago

Which of the following is a true statement?

Angelina_Jolie [31]

C is the correct answer, -7 is smaller than 7.

8 0

3 years ago

What are the vertical and horizontal asymptotes for the function f(x)=<br> 3x2/x2-4

Alecsey [184]

Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: $f(x)=\dfrac{3x^2}{x^2-4}$

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. $x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2$

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at $y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}$

i.e. $y=\dfrac{3}{1}=3$

Hence, f(x) will have horizontal asymptote at y=3.

3 0

3 years ago

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mars1129 [50]

The answer is the fourth one. Trust me I had the same question

5 0

3 years ago

The sum of 4 consecutive even numbers is 36.<br> What is the first number in this sequence?

DiKsa [7]

Answer:

Step-by-step explanation:

6+8+10+12=36

7 0

2 years ago

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