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Zielflug [23.3K]
3 years ago
10

-3x+2-5x-7=4x+2 what is the first step solve this equation?

Mathematics
1 answer:
Triss [41]3 years ago
5 0

Answer: x = -0.58

Step-by-step explanation:

-3x+2-5x-7=4x+2

First step, collect like terms

-3x -5x-4x = 2-2+7

-12x = 7

x = 7/-12

x = -0.58

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Factor 3a^2+6ab-24b^2
Monica [59]
(3a²+6ab-24²)= 3a(a+2b)x(4b)
7 0
3 years ago
In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the
vlada-n [284]

Answer:

D=3.5\ gr/cm^3

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

\displaystyle D=\frac{m}{V}

It can be expressed in common units like gr/lt, Kg/m^3, gr/cm^3 or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

m=200\ mg = 0.2\ gr

V=0.057\ cm^3

Thus, the measured density is

\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}

\boxed{D=3.5\ gr/cm^3}

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

6 0
3 years ago
How many blue counters must be added so that the ratio of yellow counters to total counters is 1 to 6
Ivahew [28]

Answer:

5

Step-by-step explanation:

if the ratio is 1:6, and its yellow to total, that means that you would need to subract 1 from 6 to get the number to blue counters needed to get the correct ratio

6 0
3 years ago
Read 2 more answers
Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean
Vera_Pavlovna [14]

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

2x - y = -1

y =5x - 5

Required

Verify that: (x,y) = (2,5) is a solution

We have:

2x - y = -1

Substitute: (x,y) = (2,5)

2 * 2 - 5 = -1

Evaluate all products

4 - 5 = -1

Subtract:

-1 = -1

<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

Also: y =5x - 5

Substitute: (x,y) = (2,5)

5 = 5 * 2 - 5

Evaluate all products

5 = 10 - 5

Subtract:

5 = 5

<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

<em></em>

Because the given point is a solution to both equations, then they are simultaneous equation

7 0
3 years ago
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
andriy [413]
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
3 0
3 years ago
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