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Murljashka [212]
3 years ago
10

Solve the question. show your work. check your answer. 3x -7 = 5x + 19

Mathematics
2 answers:
Umnica [9.8K]3 years ago
8 0
3x -7 = 5x + 19
-7 = 2x + 19
-26 = 2x
x= -13 
Yanka [14]3 years ago
8 0
<span>3x -7 = 5x + 19
    +7            +7
3x = 5x + 26
-5x  -5x
-2x = 26
 /-2    /-2
x = -13</span>
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Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.
tigry1 [53]

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

5 0
2 years ago
Is this happening to anybody else? Why are there ad's to unlock answers it is annoying
kap26 [50]

I don’t have to have ads. When I wasn’t signed up I had to but I logged in and now I don’t have to watch ads.

6 0
3 years ago
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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
nirvana33 [79]

Answer:

Area = 26478cm^2

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

Area = \frac{\pi r^2}{2}

Where

r = 60cm

So:

A_1 = \frac{3.14 * 60^2}{2}

A_1 = \frac{11304}{2}

A_1 = 5652cm^2

Next, the area of the complete trapezium

Area= \frac{1}{2}(a + b) * h

Where

a = 300

b = 2 * r = 2 * 60 = 120

h = 153

So:

A_2 = \frac{1}{2} * (300 + 120) * 153

A_2 = \frac{1}{2} * 420 * 153

A_2 = 32130cm^2

The area of the desk is:

Area = A_2 - A_1

Area = 32130cm^2 - 5652cm^2

Area = 26478cm^2

8 0
3 years ago
What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negat
Natasha_Volkova [10]

The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two linear equations:

y = 6x - b ..(1)

\rm -3x + \dfrac{1}{2}y = -3 ..(2)

From the second equation:

\rm -3x + \dfrac{1}{2}y = -3

-6x + y = -6

After rearranging:

y = 6x - 6 ..(3)

On comparing equation (1) and (3)

b = 6

Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

8 0
2 years ago
Please help. will give brainliest
Temka [501]

Answer:

84 sqmm

Step-by-step explanation:

hope it helps. ........።..

8 0
3 years ago
Read 2 more answers
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