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Wittaler [7]
3 years ago
13

(20 PTS) 4x-(3x-2x)=3(2x-1) A. 0 B. 1 C. Infinitely Many

Mathematics
1 answer:
Mkey [24]3 years ago
3 0

4x-(3x-2x)=3(2x-1)

4x - 3x + 2x = 6x - 3

3x = 6x - 3

-3x = - 3

  x = 1

Answer

B. 1

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Which expressions are equivalent to 10/10^3/4
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\dfrac{10}{10^\frac{3}{4}}=10^{1-\frac{3}{4}}=10^\frac{1}{4}=\sqrt[4]{10}\\\\\text{Used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\sqrt[n]{a}=a^\frac{1}{n}

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3 years ago
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Four less than five times a number is equal to 11
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5*3=15
15-4= 11
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Determine the inequality that can be used to model when the population of bacteria will be greater than or equal to 656,100. The
jenyasd209 [6]

The inequality is 100*3^{t}≤ 656100.

The correct option is (B).

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

From the table attached below:

a=300, r= 900/300 = 3

As, it is GP

Now,

f(t) = ar^{t-1}

f(t) = 300*3^{t-1}

f(t) = 300/3 *3^{t}

f(t) = 100*3^{t}

Inequality is used to determine greater than or equal to 656100

100*3^{t}≤ 656100

Learn more about inequality here:

brainly.com/question/20383699

#SPJ1

4 0
1 year ago
The table shows the diameters of three planets:
Sonbull [250]
Uranus = 530.4
Neptune = 509.6
Saturn = 126
6 0
3 years ago
If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?
Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

The horizontal distance AB is equal to

AB_x=10-2=8\ units

The vertical distance AB is equal to

AB_y=10-4=6\ units

Find the horizontal coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

4CB_x=8\\CB_x=2

AC_x=3(2)=6

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

C_y=A_y+AC_y=4+4.5=8.5

therefore

The coordinates of point C are (8,8.5)

5 0
3 years ago
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