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3 years ago

Select the correct slope and y-intercept for the

Mathematics

2 answers:

Schach [20]3 years ago

4 0

Answer:2. because slope can't be negative and we just did this question.

Step-by-step explanation:

vaieri [72.5K]3 years ago

3 0

Answer:

1) Slope m=-3x,y-interceptb=4

Step-by-step explanation:

This equation is in the form y=mx+b where m is the slope and b is the y-intercept and -3 is in the position of m, so its the slope, and 4 is in the position of b, so its the y-intercept.

You might be interested in

What is −13+2z=−56 Thanks

Zinaida [17]

<h3>Original Equation:</h3>

$-\frac{1}{3}+2z=-\frac{5}{6}$

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

$-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}$

Now that we have common denominators, add both sides by 2/6:

$2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}$

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

$\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}$

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

7 0

3 years ago

What much expression represents a rational number?

Pie

Answer:

$\displaystyle \frac{2}{7}+\sqrt{121}$

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

$\displaystyle \frac{a}{b}, \ b\neq 0$

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

$\displaystyle \frac{5}{9}+\sqrt{18}$

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

$\pi + \sqrt{16}$

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

$\displaystyle \frac{2}{7}+\sqrt{121}$

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

$\displaystyle \frac{3}{10}+\sqrt{11}$

As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.

Correct option:

$\boxed{\displaystyle \frac{2}{7}+\sqrt{121}}$

6 0

3 years ago

HELP!?! PLEASE!! Which pair of fractions shows 7/9 and 5/12 correctly converted with their least common denominator?

svlad2 [7]

$Least\ common\ denominator:\\\\\frac{7}{9}\ \ \ \frac{5}{12}\ \ we\ need\ to\ find\ number\ which\ can\ be\ divided\ by\ 12\ and\ 9\\\\\frac{7\cdot4}{9\cdot4}\ \ \ \frac{5\cdot3}{12\cdot3}\\\\\frac{28}{36}\ \ \ \frac{15}{36}\\\\Answer\ A.$

5 0

3 years ago

Read 2 more answers

What does the point (1, 18) represent?

Zarrin [17]

Answer:

1 on the x axis, and 18 on the y axis

Step-by-step explanation:

4 0

3 years ago

6^3+5(8+0.2)= can someone tell me the steps i know its 257 i need the steps

Sav [38]

Step 1 distribute the 5 across (8+0.2)

6^3+5(8+0.2)

6^3+40+1

6^3+41 (<em>I simplified the +40 and the +1</em>)

Step 2 take 6 to the power of 3

6^3+41

6x6x6 6x6=36 36x6=216

216+41 (<em>Simplify!</em>)

257

I hope this helped!

3 0

4 years ago