1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
expeople1 [14]
1 year ago
11

Solve: 5 | x + 2 | + 2 > 7 The answer has the form: ( − ∞ , A ) ∪ ( B , ∞ ) ( A , B ) State your solution using interval nota

tion like above:

Mathematics
1 answer:
aliina [53]1 year ago
7 0

Given:

5|x-3|+3>7

Aim:

We need to find the value of x.

Explanation:

Subtract 3 from both sides of the equation.

5|x-3|+3-3>7-3

5|x-3|>4

Divide both sides of the equation by 5.

\frac{5}{5}|x-3|>\frac{4}{5}

|x-3|>\frac{4}{5}

Square both sides.

(x-3)^2>(\frac{4}{5})^2

(x-3)^2>\frac{16}{25}

x^2-6x+9>\frac{16}{25}

multiply

x^2-6x+9>\frac{16}{25}

You might be interested in
Please quickly help me!!
Ainat [17]

Look at the picture.

Answer:

\angle ADB\cong\angle ACB\\\\\angle DAC\cong\angle DBC

4 0
3 years ago
What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radio is 2:3?
gtnhenbr [62]
The answer will be a because they are similar and by law the ratio can be cubed to find ratio of volume
6 0
3 years ago
A triangular pane of glass has a height of 30 inches and an area of 270 square inches. what is the length of the base pane
Tems11 [23]
The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.

To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.
3 0
2 years ago
A line passes through the point (–6, –3) and has a slope of 2/3 . Which point is on the same line?
navik [9.2K]

Answer:

The point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The point (-6, -3)
  • The slope m = 2/3

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case:

  • m = 2/3
  • (x₁, y₁) = (-6, -3)

substituting the values m = 2/3 and the point (-6, -3)  in the point-slope form

y-y_1=m\left(x-x_1\right)

y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)

y+3=\frac{2}{3}\left(x+6\right)

Subtract 3 from both sides

y+3-3=\frac{2}{3}\left(x+6\right)-3

y=\frac{2}{3}x+4-3

y=\frac{2}{3}x+1

comparing with the slope-intercept form y=mx+b

Here the slope = m = 2/3

Y-intercept b = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Given the line

y=\frac{2}{3}x+1

at x = 0, y = 1

Thus, the point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

5 0
2 years ago
For the first football game of the season, 62732 fans attended. The number of fans at the second game was 469 morw than at the f
ziro4ka [17]
There was 125,933 fans that attended both games.
8 0
3 years ago
Other questions:
  • Last week, your delivery runs took 7 hours 12 minutes on Monday, 6 hours 46 minutes on Wednesday, and 6 hours 53 minutes on Frid
    9·1 answer
  • Find all solutions to the equation (sinx-cosx)^2=3
    13·2 answers
  • How long is each wire?
    10·1 answer
  • Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8
    14·1 answer
  • 5 points
    7·1 answer
  • On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.
    7·2 answers
  • What do you call a crushed angle ?
    10·2 answers
  • Acil çözümünü yazın bana ​
    11·1 answer
  • What is the height of a triangle with<br>base 7cm and area of 35cm 2<br>​
    10·1 answer
  • Amir jogged 10 blocks in 6 minutes at that ratio how long would it take Amir to jog 60 blocks
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!