All categories

1 year ago

The solution to the problem and how would I work it out?

Mathematics

1 answer:

Zinaida [17]1 year ago

8 0

Answer:

x >=5 or x <=-3

Step-by-step explanation:

Solve an absolute value inequality

3|x-1| >= 12

Divide each side by 3

3/3|x-1| >= 12/3

|x-1| >= 4

Now there are two solutions

x-1 >= 4 or x-1 <= -4

Add 1 to each side

x-1+1 >= 4+1 or x-1+1 <= -4+1

x >=5 or x <=-3

You might be interested in

How do the mathematical domain and reasonable domain compare

dexar [7]

---
weekly income y:
y = 10x
where x is number of hours worked per week
---
domain: x >= 0 hours
range: y >= 0 dollars
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---

3 0

3 years ago

The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

kari74 [83]

<h2>Answer:</h2>

$b. \ \boxed{32 \sq. \ units}$

<h2>Step-by-step explanation:</h2>

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, $b_{1}\,and\,b_{2}$ . Also, the height $H$ of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of $b_{1},b_{2}\:and\:H$ is:

$A=\frac{(b_{1}\text{+}b_{2})h}{2}$

Since:

$b_{1}=6, \ b_{2}=10, \ and \ H=4$

The area is:

$A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}$

6 0

3 years ago

Need Help On This Problem PLZ :-)

anastassius [24]

Answer:

y = 9 + 19x

Step-by-step explanation:

To find the equation matching a set of data, you simply try a few values for x and see if by solving that side of the equation you get the value of y. If you do, you found your equation.

You have a big advantage here... since you have the value of y when x = 0.

When x = 0, y = 9, that's a very important data to have to simplify your research.

Let's try the value of 0 for x in each of the given equations:

y = 18 + 10 (0) = 18 --- NO

y = 9 + 19 (0) = 9 --- YES! We can confirm with another value of x:

y = 9 + 19 (1) = 28 --- YES! Confirmed!

y = 9 + 19x is your answer!

8 0

3 years ago

Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Trian

OLEGan [10]

Step-by-step explanation:

always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.