Seven more than 3 Times a number is 49. What is the number?

Could someone explian to me how to do these two? i’m not sure if i’m doing it right plz help

omeli [17]

Step-by-step explanation:

Before I discuss how to graph both equations, I believe that it is essential to understand the variables and constant related to linear equations.

The slope-intercept form is: y = mx + b, where:

m = slope (which tells you the steepness of the line).

b = y-intercept: this is the point on the graph where it crosses the y-axis. Its coordinates is always formatted as, (0, b). The b is the y-coordinate of the y-intercept that you use for the equation.

The standard form of linear equations is: Ax + By = C, where:

A, B, C are integers (whole numbers, and cannot be in fraction or decimal forms). A and B ≠ 0, and A must be a positive integer.

Now that I have defined what the slope-intercept and standard form of linear equations are, we can proceed with working on graphing both equations.

In this equation, the slope (m) = -6, and the y-intercept (b) = -4. As an ordered pair, the y-intercept is (0, -4). In order to graph this equation, start by plotting the y-intercept on the graph. Then, use the slope (rise over run) to plot other points on the graph (6 units down, 1 unit run). Your next point should occur at (1, -10).

You could simply connect these two points and draw a line, or plot another point on the graph using the slope technique mentioned in this post.

This equation is in standard form, Ax + By = C. It is easier to graph a linear equation when it is in its slope-intercept form, y = mx + b.

In order to transform this equation into its slope-intercept form, start by subtracting 3x from both sides of the equation:

3x - 4y = 12

3x - 3x - 4y = - 3x + 12

-4y = -3x + 12

Next, divide both sides by -4 to isolate y:

$\frac{-4y}{-4} = \frac{-3x + 12}{-4}$

y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is b = -3.

Similar to how we graphed the equation from question 7, start by plotting the y-intercept, (0, -3). Then, use the slope of the equation, m = ¾ (3 units rise, 4 units run) to plot the next point. The next point should occur at (0, 4).

Attached are the graphed equations.

7 0

3 years ago

Find the area of the blue sector of the circle. Round to the nearest hundredth.

Varvara68 [4.7K]

A diagram must be associated with the question above. Based on what I researched, this is what I got.

The blue sector of the circle is 120 degrees.

area of the blue sector = 1/3 of pi * 2^2
= 4.19cm2

I hope this answer helps.

8 0

4 years ago

Solve for t.

vova2212 [387]

Answer:

-5

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

-35 = -(7×5) = 7×(-5)

Then comparing to the given equation, you realize ...

t = -5

_____

Or, you can recognize 7 as the coefficient of t and divide both sides of the equation by that:

-35/7 = (7t)/7

-5 = t

5 0

3 years ago

Read 2 more answers

Karen wants to advertise how many chocolate chips are in each big chip cookie at her bakery. she randomly selects a sample of 69

Tomtit [17]

Answer: $(10.1989,\ 11.0011)$

Step-by-step explanation:

Given : Sample size : n=69

Sample mean : $\overline{x}=10.6$

Standard deviation : $s=1.7$

Significance level : $\alpha:1-0.95=0.05$

Then , Critical value : $z_{\alpha/2}=1.96$

The formula to confidence interval is given by : -

$\overline{x}\pm z_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ 10.6\pm (1.96)\dfrac{1.7}{\sqrt{69}}\\\\\approx10.6\pm0.4011=(10.6-0.4011,10.6+0.4011)=(10.1989,\ 11.0011)$

Hence, the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= $(10.1989,\ 11.0011)$

8 0

4 years ago

When Cecily Tynan graphed today's snowfall, her line had a slope of 1/3. What does this mean?

Zarrin [17]

Answer:

1 meter of rise over 3 meters distance

Step-by-step explanation:

Slope is the rise / run ratio

1/3 slope means 1 meter of rise over 3 meters long section (or other unit of length)

5 0

3 years ago