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3 years ago

The solution set for the inequality - 3 (x - 4) > 6(x - 1), includes 3 as an element. True False

Mathematics

2 answers:

Westkost [7]3 years ago

6 0

Answer:

The correct answer is False

solniwko [45]3 years ago

3 0

Let's plug in x = 3 to find out. So we just replace every copy of x with 3 and simplify both sides

-3(x-4) > 6(x-1)
-3(3-4) > 6(3-1)
-3(-1) > 6(2)
3 > 12

The last inequality 3 > 12 is false. So the first inequality is false when x = 3. So 3 is NOT in the solution set.

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If h = 12 and g = 4, which of the following has a value of 3?

tigry1 [53]

Answer: i think its g+1

Step-by-step explanation: Okay so since the values are given to you all you have to do is substitute.

12-(4*12) divided by (3*4)+1

12-48 divided by 12+1 ( I did the multiplication first because it comes first in the order of operations.)

-36/13= -2.76

So this is not equal to 3.

5 0

3 years ago

Read 2 more answers

What is the solution to the system of equations below? y= -4/5 x + and y = –30

Naya [18.7K]

Answer:

$x=37.5$

Step-by-step explanation:

We need to find the solution to the following system of equations:

$y = -\frac{4}{5} x$ and $y=-30$

By plugging the value of 'y' into the first equation we have that:

$-30 = -\frac{4}{5} x$ ⇒ $30=\frac{4}{5} x$

Solving for 'x' we have:

$x=37.5$

So, the solution to the system of equation is: (37.5, -30)

8 0

3 years ago

Can anyone help me with these two plz

Evgen [1.6K]

Answer:

Part 1) The scale factor is $1.5$

Part 2) The altitude QS is $4\ units$

Part 3) The scale factor is $\frac{2}{3}$

Part 4) The value of x is $12\ units$

Part 5) The perimeter of ABCDE is $46\ units$

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{NP}{RT}$

substitute the values

$z=\frac{24}{16}=1.5$

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

$QS=\frac{6}{1.5}=4\ units$

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{AB}{FG}$

substitute the values

$z=\frac{10}{15}=\frac{2}{3}$

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

$AE=FK(z)$

substitute the values

$AE=18(2/3)=12\ units$

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$y=15+9+12+15+18=69\ units$

substitute the values

$z=\frac{x}{y}$

$x=(z)(y)=\frac{2}{3}(69)=46\ units$

6 0

4 years ago

Which of the following numerical expressions results in a negative number?

AleksAgata [21]

B because the other ones are just wrong because when you solve them, you get positive numbers

3 0

3 years ago

4(x + 7)^2 – 49 = -13 solve the following quadratic equation for all values of x in the simplest form

Alex17521 [72]

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10

8 0

3 years ago