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liraira [26]
3 years ago
10

solve |1 - 4x| > 7 a. {x|x < -1.5 ∪ x > 1.5} b. {x|x < -1.5 ∪ x > 2} c. {x|-1.5 < x < 2}

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0
<span>|1 - 4x| > 7
</span>(<span>1 - 4x) > 7 or (</span><span>1 - 4x) < -7
-4x > 7 - 1 or -4x < -7 - 1
-4x > 6 or -4x < -8
x < 6/-4 or x > -8/-4
x < -1.5 or x > 2
</span><span>{x|x < -1.5 ∪ x > 2}</span>
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Classify the triangle with 9, 15, 19 as an acute right obtuse or not a triangle
Novosadov [1.4K]

Answer:

Hence the correct option is the last one . The triangle is an obtuse angled triangle.

Step-by-step explanation:

i) the sum of any two sides added together is greater than the third side hence this is a triangle.

ii) it is<em><u> not</u></em> a right angled triangle as \sqrt{9^{2} + 15^{2} } \neq  19 and \sqrt{9^{2} + 15^{2} } <  19

iii) the triangle is not acute from ii) above

iv) the triangle is an obtuse triangle from ii) above.

8 0
3 years ago
the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.
kati45 [8]
There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3

Now I'll choose a random number for y that's less than 5.3.

2.6 + z = 5.3

And subtract 2.6 from both sides to find z.

2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7

And now we have our numbers!
x = <u>0.7</u>
y = <u>2.6</u>
z = <u>2.7</u>
3 0
3 years ago
Solve 18n - 7p-15n = 5p for n.<br> A n = 1<br> B. n=2p<br> C. n = 1/2<br> D. n=4p
andrey2020 [161]

Answer:

<h3>The answer is option D</h3>

Step-by-step explanation:

18n - 7p-15n = 5p

To solve for n first make n the subject

Group like terms

That's

18n - 15n = 5p + 7p

Simplify

3n = 12p

Divide both sides by 3 to make n stand alone

That's

3n/3 = 12p/3

We have the final answer as

<h2>n = 4p</h2>

Hope this helps you

5 0
3 years ago
Read 2 more answers
Find the area of this figure.<br> A= cm2
soldier1979 [14.2K]

Answer:

area of rectangle=7×5=35cm²

area of triangle=1/2×4×3=6cm²

Step-by-step explanation:

area of figure=35+6=41 cm²

7 0
3 years ago
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Viefleur [7K]

Answer:

x = -7

Step-by-step explanation:

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This means the slope is undefined and the line is vertical

Vertical lines are in the form

x= constant and the constant is the x value of the points

x = -7

3 0
3 years ago
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