Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x + 4y = 4​

[tex]g(x)=2x^2+18x-4 \\\\[-0.35em] ~\dotfill\\\\ g(9)=2(9)^2+18(9)-4\implies g(9)=162+162-4\implies g(9)=320 \\\\[-0.35em] ~\dotfill\\\\ g(3x)=2(3x)^2+18(3x)-4\implies g(3x)=2(3^2x^2)+54x-4 \\\\\\ g(3x)=18x^2+54x-4 \\\\[-0.35em] ~\dotfill\\\\ g(1+5m)=2(1+5m)^2+18(1+5m)-4 \\\\\\ g(1+5m)=2(1+5m)(1+5m)+18+90m-4 \\\\\\ g(1+5m)=2(\stackrel{F~O~I~L}{1+10m+25m^2})+90m+14 \\\\\\ g(1+5m)=2+20m+50m^2+90m+14 \\\\\\ g(1+5m)=50m^2+110m+16[/tex]

Answer: [tex]x = \frac{3\sqrt{5}}{7}\\\\[/tex]

Explanation:

The equation of the unit circle is [tex]x^2+y^2 = 1\\\\[/tex]

Plug in y = -2/7 and solve for x

[tex]x^2+y^2 = 1\\\\x^2+\left(-\frac{2}{7}\right) = 1\\\\x^2+\frac{4}{49} = 1\\\\x^2 = 1-\frac{4}{49}\\\\x^2 = \frac{49}{49}-\frac{4}{49}\\\\x^2 = \frac{45}{49}\\\\x = \sqrt{\frac{45}{49}} \ \ \text{ ... x is positive}\\\\x = \frac{\sqrt{45}}{\sqrt{49}}\\\\x = \frac{\sqrt{9*5}}{7}\\\\x = \frac{\sqrt{9}*\sqrt{5}}{7}\\\\x = \frac{3\sqrt{5}}{7}\\\\[/tex]

Answer:

x =5.5

Step-by-step explanation:

The directions say to use x for the number.

"take 10 away from"

x - 10

"then square the result"

(x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number"

x^2

"then subtract 10 from the result"

x^2 - 10

SET EQUAL TO EACH OTHER.

(x - 10)^2 = x^2 -10

Multiply on the left side.

x^2-20x+100 =x^2-10

subtract x^2 from both sides.

-20x + 100 = -10

subtract 100.

-20x = -110

divide by -20

x = 11/2 or 5.5

CHECK:

(5.5-10)^2=20.25

5.5^2 - 10=20.25

The Algebraic equations (x - 10)² and x² - 10 have an equal value My number is 5.5.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 10 from the result.

Let the number be x.

If I subtract 10 from my number that is x - 10 then square the result that is (x-10)².

And if I square my number that is x² then subtract 10 from the result that is x² - 10.

Both the result are the same then we have

          (x - 10)² = x² - 10

x² - 20x + 100 = x² - 10

    -20x + 100 = -10

                    x = 5.5

My number is 5.5.

More about the Algebra equation link is given below.

https://brainly.com/question/953809

Answer:

1/2×10×6=30

Step-by-step explanation:

H=6

L=10

therefore;

1/2×6×10=30

Answer:

30 units²

Step-by-step explanation:

Formula to find the area of a triangle is :

Area = [tex]\frac{1}{2}[/tex] × Base × Height

Given that,

Base = 10 units

Height = 6 units

Now let us find the area of the triangle.

Area = [tex]\frac{1}{2}[/tex] × Base × Height

Area = [tex]\frac{1}{2}[/tex] × 10 × 6

Area = [tex]\frac{1}{2}[/tex] × 60

Area = 30 units²

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

length = 4 feet

width = 9 feet

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L,  where W is the width and L is the length

If the perimeter is 26 feet, then:   26 = 2W + 2L

If the width is 5 feet more than the length, then:  W = L + 5  

Substitute  W = L + 5  into  26 = 2W + 2L and solve for L:

26 = 2(L + 5) + 2L

26 = 2L + 10 + 2L

26 = 4L + 10

16 = 4L

L = 4

Now substitute L = 4 into W = L + 5 to find W:

W = 4 + 5 = 9

Therefore, length = 4 feet and width = 9 feet

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the length of the window is 4 feet and the width of the window is 9 feet.

[tex]~~~~~~ \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$5000\\r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly, thus once}\end{array}\dotfill &1\\t=years\dotfill &10\end{cases}\\\\\\A=5000\left(1+\frac{0.0125}{1}\right)^{1\cdot 10}\implies A=5000(1.0125)^{10}\implies A\approx 5661.35[/tex]

A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.

B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.

how many months for the cost to be the same?

[tex]\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4[/tex]

well, since the cost for both is the same, we can just get A's, knowing that B is the same

[tex]12+28(4)\implies 12+112\implies 124[/tex]

Answer:

17, -3, -13, -18, -23

Step-by-step explanation:

Plug in the x side into the equation so

g(-4) = -5(-4) -3

g(-4) = 20-3

g(-4) = 17

Therefore that answer is 17

Then you do that for all of them, I don't have the time to do them all but that's the concept for all of them. Hope this helps and hopefully it's not too late. Sorry!

Answer:

Step-by-step explanation:

One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.

For x=0, you have ...

  5 > -5 . . . . . true; the solution space is x < 2.5

__

For x=0, you have ...

  -25 > -5(2.5)

  -25 > -12.5 . . . . . false; the solution space is x > 2.5

_____

Alternate solution

Subtract 5:

  -4x > -10

Divide by -4

  x < 2.5

__

Divide by -5:

  5 < x +2.5

Subtract 2.5

  2.5 < x

  x > 2.5

Answer:

5

Step-by-step explanation:

50 ÷ 10 = 5

If the teacher gives out 5 sheets of paper to each of the 10 students, she won't have any paper leftover, and each student will have 5 sheets.

Answer:

The ratio of present sales to last year's sales is  28560
                                                                                16320.

Reducing (canceling) the factor  80*17*3 = 4080 in the numerator and denominator, you get the fraction

equal to  7  which is the simplest form.
               4

Step-by-step explanation:

Answer:

Trisection is the division of a quantity, figure, etc. into three equal parts, i.e., -multisection with .

Step-by-step explanation:

tysm for the points!

Answer:

the division of a quanity figure etc into three parts

Answer:

16.9% to the nearest tenth of a percent

Step-by-step explanation:

First, find the FINAL sale price (after the additional holiday 5% reduction).

If we wish to reduce $10,500 by 5%, that means the final price is 95% of the before price.  

95% = 95/100 = 0.95

So 95% of $10,500 = 0.95 x 10500 = $9,975

To find the total percent discount, we use the percent change formula:

percent change = (difference between the values ÷ original amount) x 100

=  ((12000 - 9975) ÷ 12000) x 100

= 16.875%

So the total percent discount from the car's initial price to the hoiday sale price is 16.9% to the nearest tenth of a percent.

Answer:

2644 atoms

Step-by-step explanation:

1983/3 = 661

1983 + 661 = 2644 atoms

Answer:

2644 total N and H atoms

Step-by-step explanation:

N/H is 1/3

N/H = 1/3

N/(1983) = 1/3

N = (1983/3)

N = 661 N atoms

1983 + 661 = 2644 total N and H atoms.

[tex] \frac{7u}{u - 9} = \frac{7u - 63 + 63}{u - 9} = \frac{7(u - 9) + 63}{u - 9} [/tex]

[tex]= \frac{7(u - 9) }{u - 9} + \frac{63}{u - 9} [/tex]

[tex] = 7 + \frac{63}{u - 9} = 7\frac{63}{u - 9} [/tex]

Answer:.......

Ok done. Thank to me :>

Answer:

the answer is the last one

Step-by-step explanation:

Answer:

Finding the Average Rate of Change of a Function

To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letterΔ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change iny divided by the change inx.

Answer:

A + b - s = r

Step-by-step explanation:

get r alone on one side of the equal sign by subtracting s from both sides

Answer:

-26

Step-by-step explanation:

x-39=-65

+39     +39

x= -65+39

x= -26

I get it I've been there lol

Hope this helps! :)

Answer:

  105 miles

Step-by-step explanation:

The relationship between speed, time, and distance is ...

  distance = speed × time

For the given conditions, the distance is ...

  distance = (70 mi/h)×(1.5 h) = 105 mi

Sam traveled 105 miles.

Answer:

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Step-by-step explanation:

hope this explains well, good luck !

Answer:

y = -2x - 1

Step-by-step explanation:

y = -(x+5)2 + 9

Foil method to get rid of parenthesis

y= -2x - 10 + 9

y = -2x - 1

Have a great day!

(Please mark this question as brainiest if it worked or ask me a question if you do not understand)

Answer:

A: four right angles

Step-by-step explanation:

Answer:

Four Right Angles

Step-by-step explanation:

right angles are 90°

I mean if you change the angle just a little bit of any part of a rectangle it will stop being a rectangle and it will become a quadrilateral.

Answer:

  y = 2

Step-by-step explanation:

Both points are on the horizontal line ...

  y = 2

__

Additional comment

A horizontal line has equation y = constant. A vertical line has equation x = constant.

Answer:

Step-by-step explanation:

To find the width of the ink pad, we need to use division to find the answer.

We know that:

Solution:

Hence, the width of the ink pad is 14 cm.

Step-by-step explanation:

not always they are coplanar

Answer:

1 & 4

Step-by-step explanation:

1. 110 – 16 = 10h

4. 110 = 16 + 10h

Natalie has 4 apples left after filling 51 bags

Answer:

if this an exponential question, my calculator popped up with error.

Step-by-step explanation:

Answer:

The 3 and the 2 at the end of the two thousand

Step-by-step explanation:

These are the ones digits in both numbers!