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mars1129 [50]
2 years ago
9

Solve the equation below. 2/3 (9x - 12) - 6x

Mathematics
2 answers:
SVEN [57.7K]2 years ago
6 0

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

beks73 [17]2 years ago
3 0

48

Step-by-step explanation:

idek I just need tge points so don't put what I put

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The cost of a table is 5 times the chair what is the price of chair if the total is 1050​
vampirchik [111]

Answer:

the cost of the chair is 175.

Step-by-step explanation:

<em>if the chair is x, the table will be 5x</em>

now,

the equation formed will be,

5x+x = 1050

on solving,

6x= 1050

x= 1050÷6

x= 175

therefore, the cost of the chair will be x= 175.

and the cost of the table will be 5x= 5×175 = 875.

<h3>hope it helps!!</h3><h3>PLEASE MARK BRAINLIEST ♡</h3>
8 0
2 years ago
please answer the question on the screenshot below, also please explain to me how you got your answer.
frutty [35]

QUESTION 1

The given functions are;

f(x)=5x^2-2x and g(x)=5x^2+x-4

(f+g)(x)=f(x)+g(x)

(f+g)(x)=5x^2-2x+3x^2+x-4

We regroup like terms to obtain;

(f+g)(x)=5x^2+3x^2-2x+x-4

This simplifies to;

(f+g)(x)=8x^2-x-4

The correct answer is A.

QUESTION 2

The given functions are;

f(x)=3x^2+5 and g(x)=x-2.

(fg)(x)=(f(x))(g(x))

This implies that;

(fg)(x)=(3x^2+5)(x-2)

\Rightarrow (fg)(x)=3x^3-6x^2+5x-10

The correct answer is B.

QUESTION 3

The given functions are

f(x)=3x^2+10x-8 and g(x)=3x^2-2x.

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}

(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}

We factor to obtain;

(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}

We cancel the common factors to obtain;

(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}

The correct answer is A.

5 0
3 years ago
Which exponential function does not have an x-intercept? A. f(x) = 5x – 5 – 1 B. f(x) = 5x – 5 – 5 C. f(x) = -5x – 5 + 5 D. f(x)
MrRa [10]

Answer:

Option D does not have an x-intercept. Please se attached graph

Step-by-step explanation:

To solve this equation easily, we graph each equation in a graphing calculator and see which of them doesn't intercept the x-axis.

The correct answer is option

D

f(x)  = - 5^(x-5) - 1

8 0
4 years ago
Read 2 more answers
Define the set X = {(x,y)|x &gt; 0,y ≤ √x}.
Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

brainly.com/question/12577430

#SPJ9

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1 year ago
Santana had a goal to read 50 pages of his
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