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3 years ago

Graph the line using a point and a slope. Write the equation of each line.

Mathematics

2 answers:

Mandarinka [93]3 years ago

7 0

Answer:

y = x - 2

Step-by-step explanation:

Parallel lines have the same slope, so the line will also have a slope of 1.

Plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-1 = 1(1) + b

-1 = 1 + b

-2 = b

Plug in b and the slope into y = mx + b

y = x - 2 is the equation

Verdich [7]3 years ago

7 0

Answer:

So that the other person can get brainiest

Step-by-step explanation:

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Which function has an inverse that is a function?

shusha [124]

Answer:

C. -7x

Step-by-step explanation:

Only one of the offered choices passes the horizontal line test: at most one point of intersection with any horizontal line.

A: a parabola opening upward, so will have two points of intersection with a general horizontal line (only one at the vertex).

B: a horizontal line, so will have an infinite number of points of intersection with a horizontal line.

D. A "V-shaped" graph that will generally have two points of intersection with a horizontal line (only one at the vertex).

7 0

3 years ago

Read 2 more answers

There are 65 children in the sixth grade. The ratio of boys to girls 3 to 2. A) how many girls are in the grade?

Akimi4 [234]

Given that,

Total number of children = 65

The ratio of boys to girls is 3 :2.

To find,

The number of girls in the grade.

Solution,

Let there are 3x girls and 2x boys.

ATQ,

3x + 2x = 65

5x = 65

x = 13

So, no of girls = 3x

= 3(13)

= 39

Hence, there are 39 girls in the grade.

5 0

3 years ago

Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her fi

anastassius [24]

Answer:

<em>Grades to be scored in 3rd exam = 88</em>

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = $x$

Formula for average is:

$Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}$

Here, sum of numbers = $81+86+x =167+x$

Total count of numbers = 3

$85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}$

<em>Grades to be scored in 3rd exam = 88</em>

8 0

3 years ago

adiocarbon dating of blackened grains from the site of ancient Jericho provides a date of 1315 BC ± 13 years for the fall of the

Zigmanuir [339]

Answer:

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$ and $\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

Step-by-step explanation:

The equation of the isotope decay is:

$\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }$

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

$\tau = \frac{5568\,years}{\ln 2}$

$\tau \approx 8032.926\,years$

The decay time is:

$t = 1315\,years + 2007\,years \pm 13\,years$ (There is no a year 0 in chronology).

$t = 3335 \pm 13\,years$

Lastly, the relative amount is estimated by direct substitution:

$\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$

$\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

4 0

2 years ago

One important idea of the section "When Good Bananas Go Bad" is that experts say that we should grow only one type of banana in

Darina [25.2K]

Answer:

False

Step-by-step explanation:

According to the section, "When Good Bananas Go Bad", we are made to understand that one of the reasons why the TR4 fungus can spread easily through banana roots is because, there is only one variety, which is the Cavendish variety. Experts advise that people should develop interest in other varieties like the Manzano, which has the taste of Apple and Strawberry.

Another reason given for the spread of the disease is increased human transportation. Although growing one type of banana would be beneficial for companies, the fact that they have the same genetic material, aids the spread of the disease. So, diversification is advised.

3 0

3 years ago