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3 years ago

Is -5 a solution to the equation 6x + 5 = 5x + 8 + 2x

2 answers:

8 0

Hey, unfortunately -5 is not a solution to this question, the answer would be -3. 6x-7x= -x=8-5=3

The answer would be X=-3

TEA [102]3 years ago

3 0

Answer:

No.

Step-by-step explanation:

First add the like terms.

6x+5=7x+8

-6x -6x

5=x+8

subtract 8

-3=x

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Evaluate the function f(x)=x^2-5x+ 5 at the given values of the independent variable and simplify

11111nata11111 [884]

Step-by-step explanation:

The given function is :

$f(x)=x^2-5x+ 5$

(a) To find f(9), put x = 9 in the above expression.

$f(9)=9^2-5(9)+ 5=41$

(b) To find f(x+7), put x = x+7 in the above expression.

$f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19$

$f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5$

Hence, this is the required solution.

8 0

3 years ago

What is the distance between the y-intercepts of the lines? Adding a picture please help

DerKrebs [107]

The equation of a line is:

y = mx + c

The m is the gradient of the line, and the c is the y-intercept of the line

That means that the y-intercept of [y = -4x + 3] is 3

and the y-intercept of [y = -4x + 4] is 4

So the distance between the two y-intercepts is:

4 - 3 = <u>1</u>

6 0

3 years ago

I need help on this problem please

andrew11 [14]

Step-by-step explanation:

side ratio = big/small = 28/4 = 7

perimeter ratio = side ratio = 7

-> perimeter ratio = big / small = big/34 = 7

-> big perimeter= 7*34 = 238

7 0

3 years ago

Read 2 more answers

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

alex41 [277]

Answer: $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

Step-by-step explanation:

Given two upward facing parabolas with equations

$y=6x^2 & y=x^2+2$

The two intersect at

$6x^2=x^2+2$

$5x^2=2$

$x^2$ = $\frac{2}{5}$

x= $\pm \sqrt{\frac{2}{5}}$

area enclosed by them is given by

A= $\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx$

A= $\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx$

A= $4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]$

A= $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

7 0

4 years ago

The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the pop

galben [10]

Answer:

The population of the town in 2020 will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r = 5%

Now, 5% of 10, 400 = $\frac{5}{100} \times 10, 400 = 520$

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = $\frac{5}{100} \times 10, 920 = 546$

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = $\frac{5}{100} \times 11,466 = 573.3$

or, the population in the year 2020 = 11,466 + 573.3 = 12,039.3

The population of the town in 2020 will approx. be 12,039.

6 0

3 years ago