<img src="https://tex.z-dn.net/?f=-24%5Cleq%203x-9" id="TexFormula1" title="-24\leq 3x-9" alt="-24\leq 3x-9" align="absmiddle" c

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ra1l [238]

3 years ago

lass="latex-formula">

Mathematics

2 answers:

dybincka [34]3 years ago

8 0

If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:

-24 ≤ 3x - 9 First add 9 on both sides

-24 + 9 ≤ 3x - 9 + 9

-15 ≤ 3x Then divide 3 on both sides to get "x" by itself

$\frac{-15}{3} \leq \frac{3x}{3}$

-5 ≤ x [or x ≥ -5 if you prefer "x" to be on the left side]

BigorU [14]3 years ago

3 0

X ≥ - 5 //////////////////////////

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I need to know how to do Solving Systems of Equations by Elimination

vredina [299]

The point of elimination is to have one variable so example

3x + 2y = 4

7X + 3y = 5

1) Try to find a way to have one variable

7(3x + 2y = 4) ----> 21x + 14y = 28

-3(7x+ 3y = 5) -----> -21x -9y = -15

2) add

0 + 5y = 13

3) solve for the last variable

5y = 13
y = 13/5 = 2 3/5 = 2.8

4) Subsitute the variable to get the other one

3x + 2(2.8) = 4

3x + 5.6 = 4

3x = -1.6

x = 0.533333333 (continue)

The intersection would be 0.53 with a line above the 3 and 2.8. (0.5333 , 2.8)

Hope you understand!!

6 0

3 years ago

Jafar will get $12400 more if his salary is increased by 31%. Jafar's salary is 20% less of his colleague Ali's salary. What is

Iteru [2.4K]

Answer:

Ali's salary is $50000.

Step-by-step explanation:

Let Jafar's salary be x.

(31/100)*x = 12400

x = (12400*100)/31

x = 400*100

x = $40000

Let Ali's salary be y.

y-[(20/100)*y] = 40000

y-(y/5) = 40000

(5y-y)/5 = 40000

4y = 200000

y = $50000

7 0

3 years ago

Mr. Carter is making a dessert using 9/10 pound of peach and 5/10 pound of raspberries. How much more peaches than raspberries i

-Dominant- [34]

Answer: 4/10
Explanation: 9/10 - 5/10 = 4/10
The denominator is already both 10 so u can subtract the numerator without worry

8 0

3 years ago

The graphs below have the same shape. What is the equation of the red

anyanavicka [17]

Answer:

Option B is correct .

Step-by-step explanation:

According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .

And ,the given function is ,

$\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}$

Hence ,we can can see that x = 2 and (-2) are the zeroes of graph. 

This implies that if we know the zeroes , we can frame the Equation.

On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.

$\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}$

Hence option B is correct .

8 0

3 years ago

Read 2 more answers

Given the two points on the line write the equation in slope intercept form (5,5) and (0,-5)

Stella [2.4K]

Do you have a picture of the question

7 0

3 years ago