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2 years ago

Solve the inequality x-4 < - 3.Then graph the solution set.show your work.

Mathematics

1 answer:

bearhunter [10]2 years ago

8 0

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

+ 4 +4 Do inverse operations by adding 4 on both sides

x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4 -3 -2 -1 0 1 2 3 4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

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a(x+b)=4x+10 in the equation above a and b are constants. if the equation has infinitely many solutions for X, what is the value

xeze [42]

Answer:

$b= \frac{5}{2}$

Step-by-step explanation:

Given

$a(x+b)=4x+10\\ax+b= 4x+10\\$

Now we know that system has infinite solution for x

$\frac{a_1}{a_2}=\frac{b_1}{b_2}$

in above equation.

$a_1=a, a_2=4, b_1=ab,b_2=10\\$

∴ $\frac{a}{4}=\frac{ab}{10}\\\therefore b=\frac{10\times a}{4\times a}=\frac{5}{2}$

7 0

3 years ago

Which does not show a direct variation between x and y?

Zepler [3.9K]

A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where $y = x * (constant)$ .

In answer a, $y = x*.5$ , so it is a direct variation.
In answer c, $y = x* \frac{1}{9}$ , so it is a direct variation.
In answer d, $y = x*2$ , so it is a direct variation,

Only answer b is left, which means the answer must be 'b'.

We also know 'b' is the answer because it cannot be expressed as $y = x * (constant)$ . Instead, it is expressed as $y = \frac{constant}{x}$ , which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)

8 0

3 years ago

Read 2 more answers

Given f(x) = -2 and g(x) = 5x - 6, find h(x) = f(x) ⋅ g(x) h(x) = _____ x _____ _____

kherson [118]

Answer:

10x+12 is the answer in my calculation.

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3 years ago

Determine the length of side CB. A) 5 B) 5V 5V D) 10

ra1l [238]

Answer: $5\sqrt{3}$ which is choice C