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3 years ago

Evaluate the following expression if x = -7. 3x2 - 4x + 5

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

3 ×2 - 4(-7) + 5

3 × 2 +28 + 5

6 + 28 +5

=39

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1 If the population of a town increases by 280 people per year, then the growth is LINEAR (or constant). If the population in 20

Stella [2.4K]

The population in the year 2023 is 120,780.

The growth is linear hence, the equation of the growth is
y=ax+b where b represents the initial population and a is the number of people growing yearly.

So, according to the question statement, we have that

y=280x+b where x is the number of years past and y is the population in the xth year.

According to the given problem population in 2022 will be 120,500.

Suppose that the initial population is taken at 2000.

Hence, 120,500=280×(2022-2000)+b

⇒b=120,500-280×22

⇒b=120,500-6,160

=114,340

So, the Linear equation becomes

y=280x+114,340

⇒y=280×(2023-2000)+114,340

⇒y=120,780

Hence, the population in the year 2023 is 120,780.

Learn more about linear equations here-

brainly.com/question/11897796

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7 0

2 years ago

Please help show work! asap:)))

torisob [31]

Step-by-step explanation:

please give me brainlest

6 0

3 years ago

Read 2 more answers

What does a variable allow you to do that you couldn't do before

kozerog [31]

For example x^2=25
Without x the expression wouldn't exist, it allows you to calculate unknowns for example in a physics experiment using v=u+at

8 0

3 years ago

Which are the solutions of the quadratic equation?

Artemon [7]

Answer:

$x_1=\frac{7+\sqrt{65}} {2}$

$x_2=\frac{7-\sqrt{65}} {2}$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}=7x+4$

equate to zero

$x^{2}-7x-4=0$

$a=1\\b=-7\\c=-4$

substitute in the formula

$x=\frac{-(-7)\pm\sqrt{-7^{2}-4(1)(-4)}} {2(1)}$

$x=\frac{7\pm\sqrt{65}} {2}$

therefore

$x_1=\frac{7+\sqrt{65}} {2}$

$x_2=\frac{7-\sqrt{65}} {2}$

StartFraction 7 minus StartRoot 65 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 65 EndRoot Over 2 EndFraction

3 0

4 years ago

Read 2 more answers

X* 6 = 18; Solve for x. *

Digiron [165]

Answer:

x = 3

Step-by-step explanation:

x*6 = 6x, then we divide both sides by 6 to get x alone. 6x/6 = 18/6.

x = 3, 18 divided by 6 is 3.

4 0

3 years ago