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GenaCL600 [577]
2 years ago
7

Solve each two-step inequality and graph the solution set on a number line -17 < 3-5x

Mathematics
1 answer:
lawyer [7]2 years ago
3 0

Answer:

x < 4

Step-by-step explanation:

Given the following question:

-17 < 3-5x

In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.

-17 < 3-5x
-17 < 3-5x=3-5x > -17
3-5x > -17
3-3=0
-17--3=-20
5x=-20
\frac{5x}{5}=x
20\div5=-4
x < 4

<u>When plotting inequalities on the number line keep a few things in mind:
</u>
. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.

Hope this helps.

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4 years ago
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One angle of a triangle measures 40°. The other two angles are in a ratio of 5:9. What are the measures of those two angles?
Travka [436]

Answer:

50 and 90

Step-by-step explanation:

(180-40)/(5 + 9) = 10

=> 50 and 90

5 0
3 years ago
What is the difference of the polynomials? (8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4)
Dafna1 [17]
<span>(8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4)
= </span><span>8r^6s^3 – 9r^5s^4 + 3r^4s^5 – 2r^4s^5 +  5r^3s^6 + 4r^5s^4
= </span>8r^6s^3 – 9r^5s^4 +  4r^5s^4 + 3r^4s^5 – 2r^4s^5 +  5r^3s^6 
= 8r^6s^3 – 5r^5s^4 + r^4s^5  +  5r^3s^6 

Hope it helps
4 0
4 years ago
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Complete the following tasks for this equation: b/7.8= -2.15.
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Factors

  • A term in multiplication for an entire variety by which a bigger complete quantity may be divided
  • A divisor is an integer that evenly divides a range without leaving the rest
  • Factorization is the decomposition of an item right into a product of other objects
  • Integer factorization, the manner of breaking down a composite quantity into smaller non-trivial divisors
  • A coefficient, a multiplicative thing in an expression, usually more than a few
  • The act of forming a component institution or quotient ring in summary algebra
  • A von Neumann algebra, with a trivial center
  • Factor (graph principle), a spanning subgraph
  • Any finite contiguous sub-sequence of a word in a group concept

(b)/(7.8)=-2.15

Multiply each term in the equation by 7.8.

(b)/(7.8)*7.8=-2.15*7.8

Cancel the common factor of (1)/(7.8).

1b=-2.15*7.8

Multiply -2.15 by 7.8 to get -16.77.

1b=-16.77

Divide each term in the equation by 1.

(1b)/(1)=-(16.77)/(1)

Cancel the common factor of 1.

b=-(16.77)/(1)

Divide -16.77 by 1 to get -16.77.

b=-16.77

#SPJ10

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A chef can make 12 omelets in one hour. What is the rate of omelets per minute?
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