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3 years ago

What is the solution to the inequality -3x - 5 < -20?

Mathematics

2 answers:

laiz [17]3 years ago

7 0

Answer:

Step-by-step explanation:

add 5. so thats -3x <-15

x is less than or equal to 5

timurjin [86]3 years ago

3 0

Answer:

x > 5

Step-by-step explanation:

-3x - 5 < -20

-3x < -20 + 5

-3x < -15

/-3 /-3

x > 5

( whenever dividing or multiplying by a negative number you must flip the sign )

hope this helps ^^

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Julio tested the point (4, –2) to see whether it is a solution to this system of equations. –3x – 2y = –8, y = 2x – 5 His work i

kolezko [41]

if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8 ok
(2) y = 2x – 5
-2=2*4-5=3---------->-2 is not 3

the point (4, –2) is not solution of the system of equations

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3 years ago

Read 2 more answers

Which is the best first step and explanation for solving this system of equations? 3x+4y=12 3x=2y-8

Greeley [361]

Answer:

Since it is a simultaneous equation,

Using elimination method, Multiply equation 1 by the co efficient of x in equation 2 and multiply equation 2 by the co efficient of x in equation 1.

Step-by-step explanation:

For further explanation , Please contact me through the comment section.

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3 years ago

(-9,5); m=4 right and equation in point slope form of the line that passes through the given point and with the given slope M

NikAS [45]

Answer:

Slope form of line y = 4x +41

Step-by-step explanation:

m= 4

The y-intercept of the line that passes through the given point (-9,5) is

5 = 4(-9) + b

b= 5 +36

b=41

The equation of the line that passes through the given point (-9,5) is

y =mx +b

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2 years ago

Find the equation of the graphed line, please select the best answer from the choices provided.

son4ous [18]

Answer: A

Step-by-step explanation: -2 is your y-int and if you do your rise over run it’s -1/2

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3 years ago

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2

Gemiola [76]

Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
$a = b = c \div \sqrt{2} \\ c = a\sqrt{2} \\ c = 6 \sqrt{2} \times \sqrt{2} = 6 \times 2 = 12$
Another way to do it is the longer proof of Pythagorean Theorem:
${c}^{2} = {a}^{2} + {b}^{2}... \: \: c = \sqrt{({a}^{2} + {b}^{2})} \\$
$c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}} \\ = \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )} = \sqrt{2(36 \times 2)} \\ c = \sqrt{144} = 12$

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3 years ago