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Eduardwww [97]
3 years ago
12

Which of the following represents the characteristics of the graph of x < 4?

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0
The correct answer is:
C. open circle 4 and shaded to the left.
When the number is Greater than or Less than, the circles are open, when it is Greater than or EQUAL or less than or Equal to, the circles are closed
I hope this helps a lot.

AnnZ [28]3 years ago
4 0
The answer is B. closed circle on 4 and shaded to the right.
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Please simplify the expression.
IRINA_888 [86]

Answer:

1) 15a - 15c + 3

2) -7n + 31 + 13m + 7p  or  13m - 7n + 7p + 31

3) 44x + 6y + 3

4) 9m - 6n + 23

Step-by-step explanation:

1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c

2. Add like terms. You can rearrange them in descending order based off of exponents and variables.

3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.

4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.

8 0
3 years ago
1. Solve. r -7&gt; 10 (1 point)<br> Ox&gt;3<br> Or&gt;7<br> O.x&gt;17<br> Or&gt; 70
Lelu [443]

Answer:

r > 17

Step-by-step explanation:

r -7> 10

Add 7 to each side

r-7+7 > 10+7

r > 17

6 0
3 years ago
One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the s
Reptile [31]

Answer:

5 cm

Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

a² + b² = c²

a² + (a + 7)² = (a + 8)²

a² + a² + 14a + 49 = a² + 16a + 64

a² - 2a - 15 = 0

a² + 3a - 5a - 15 = 0

a(a + 3) - 5(a + 3) = 0

(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

7 0
3 years ago
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh
viktelen [127]

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by 4/3 \pi r^3

surface area of sphere is given by 4 \pi r^2

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3

Thus, radius of sphere is 3 units.

5 0
3 years ago
Units must be consistent. If the unit for p is dollars, the unit for i is dollars and the unit for t is years, what must the uni
umka2103 [35]

Assuming you're concerned with interest rate problems, r is generally involved in something like the formula ...

... i = prt

So, r will have the units of ...

... r = i/(pt) = (dollars)/(dollars·year) = 1/year

That is, r is <em>(some fraction) per year</em>.

_____

Often, the fraction is expressed as a percentage. The fraction will be unitless (as percentages are), leaving the units of r as year⁻¹.

5 0
3 years ago
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