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3 years ago

Write an equation of the line with the given slope and y-intercept. m equals one fourth, b equals negative three fourths

Mathematics

2 answers:

victus00 [196]3 years ago

7 0

Plug in m and then b and you get y=x/4 -3/4

pentagon [3]3 years ago

5 0

We are going to use mx+b=y.
B= the y intercept=-0.75
M= slope=0.25
0.25x-0.75=y

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A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

How does the graph of y = 2 · 2x compare to the graph of the parent?

Likurg_2 [28]

This can be also written as y=-2x+2

First of all the - at the beginning = reflection across the x axis.

Then the first 2 is a vertical stretch of 2

the second 2 is a translation of 2 units up.

1.ref. across the x axis

2.vert. stretch of 2

3. translation of 2 units up

6 0

3 years ago

Jaylon Bedford ordered a combo meal that included 2 hamburgers and a drink. The combo cost $8.50. If the drink is $1.50, how muc

valentinak56 [21]

Answer:

$3.50 each

Step-by-step explanation:

First subtract the drink price from the total,$8.50-$1.50=$7. then divide that amount by 2 since he got 2 burgers. $7/2=$3.50.Each burger is $3.50.

7 0

3 years ago

Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.

elena-s [515]

Answer: Create intervals, then count the number of countries that fall in each interval.

When you create a frequency table, you have set intervals. In this case, our small number is close to 0 and our largest number is 4.5. We could create an interval for each number. Then, count the number of countries in each.

It would look like:
Interval Frequency
0-0.99 1
1-1.99 5
2-2.99 5
3-3.99 2
4-4.99 1

4 0

3 years ago

Read 2 more answers

Choose the correct equation for the line shown on the graph?

MissTica

Answer:

y = -1/4x - 1

Step-by-step explanation:

y=mx+b

the y intercept is -1, and the slope is up one, left four

8 0

3 years ago

Read 2 more answers