Convert 5.4 ⋅ 10^3 to standard form.

The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2

A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2

Therefore, the correct answer is option C) y= 7.5x-2.

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Answer:

21 com. 11 com. 15 com. 16 com. 29 prime. 13 prime.

Step-by-step explanation:

Answer:prime 29,11,13 composite 21,15,16

Step-by-step explanation:

The answer is 3,162

I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162

Answer:

40%

Step-by-step explanation:

subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)

=0.4 ; 40%

Answer:

18.8947368

Step-by-step explanation:

Answer: 18.8947368421

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]

Step-by-step explanation:

Hello,

As 1 and 5 are roots we can write, with a real number, the quadratic equation as

a(x-1)(x-5)

and as the leading coefficient is 2 then a = 2

It comes

[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]

Thanks

The quadratic equation will be 2x²-12x+1=0.

Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the roots of the quadratic equation are 1 and 5 and the leading coefficient is 2.

The equation will be written as,

Quadratic equation = 2( x - 1 ) ( x - 1 )

Quadratic equation = 2 ( x² + 4x - 5)

Quadratic equation  = 2x² + 8x - 10

Therefore, the quadratic equation will be 2x²-12x+1=0.

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Answer:

$172.50

Step-by-step explanation:

Simply do 230 x 0.75 which is the percent subtracted by 25 that decreases a value and makes it less

Answer:

9.230095943 or 9.2

Step-by-step explanation:

Trigonometry: sine, cosine, tang: Sohcahtoa

O: opposite(side from angle)

H: hypotenuse(side opposite from 90*)

A: Adgacent(side from angle)

Use scientific calculator: tang(40*) x 11 = 9.230095943

Answer: mg they left u hanging for some time here hol up,

y=−25

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y/5-2-(-7)=0

y/5          

(y/5 -  2) -  -7  = 0  

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

   2 =  2/1=2.5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y - (2.5/5 5)=y - 10

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 y+25

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  y+25  = 0

4.2      Solve  :    y+25 = 0  

Subtract  25  from both sides of the equation :  

                     y = -25

Answer:

Charles: 17 points

Adam: 25 points

Bethany: 30 points

Answer:

Adam scored 25 points.

Bethany scored 30 points.

Charles scored 17 points.

Step-by-step explanation:

A = Adam, B = Bethany, C = Charles

What we know:

C + 8 = A

A +  5 = B

A + B + C = 72

Charles:

C + 8 + 5 = B

C + (C + 8) +  (C + 13) = 72

72 - 8 - 13 = 51

51/3 = 17

Charles scored 17 points.

Bethany:

17 + 13 = 30

Bethany scored 30 points.

Adam:

17 + 8 = 25

Adam scored 25 points.

Answer:

y(0) = 0

x(0) = 0

Step-by-step explanation:

This equation goes through the origin

Answer:

option 1

option 3

option 4

Step-by-step explanation:

Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.

option 1:

Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.

option 2:

The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.

option 3:

Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.

option 4:

If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.

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Answer:

connor: Initial value is 200ft/ rate of change is 10

pilar: rate of change is -8/ initial value is 242

Step-by-step explanation:

so to figure out the initial value in a word problem, you need to see what it began or started with first and in the table to figure out the initial value, you need to see if there's a zero in the input and under the zero, the number in the output that's under 0 is the initial value. to find the rate of change in a word problem, if it says per, each, then it's the rate of change, Also to find the rate of change in a table you need to use this formula y²- y¹/x²-x¹ for example 234-242/1-0= -8/1 which is -8 for the slope. I hope my explanation helped. sorry if it's not clear

When f(x) is substituted with a number, you just plug the number into wherever you see x:

_____________

f(12) = 3/2x + 14

f(12) = 3/2(12) + 14

f(12) = 18 + 14

f(12) = 32

f(-4) = 3/2x + 14

f(-4) = 3/2(-4) + 14

f(-4) = -6 + 14

f(-4) = 8

f(0) = 3/2(0) + 14

f(0) = 0 + 14

f(0) = 14

Answer:

22%

Step-by-step explanation:

Answer:40

Step-by-step explanation:0.65 to percent

0.65x100=65%

which is 65/100x80=52 students choose mat

and 15/100x80=12 students choose science

so 40 more students choose math over science

Answer:

Step-by-step explanation:

I have attached a written explanation to help :).

Let's say each side of the square =[tex]x[/tex]

If we put 7 squares in a row to make the rectangle,

length of the rectangle = [tex]7x[/tex]

Area of a rectangle = length multiplied by width

Area of rectangle =  [tex]7x[/tex] multiplied by [tex]x[/tex] = [tex]7x^2[/tex]

We are also told that the total area = 567

So [tex]7x^2 = 567[/tex]

Now solve for [tex]x[/tex].

Divide both sides by 7.

[tex]\frac{7x^2}{7} = \frac{567}{7}[/tex]

[tex]x^2 = 81[/tex]

Then square root both sides to find [tex]x[/tex]

[tex]x = \sqrt{81}[/tex] = 9

Finally, the question asks to find the length of the collage which we said was [tex]7x[/tex] and we know [tex]x = 9[/tex]

Length of collage = [tex]7x = 7[/tex] multiplied by [tex]9[/tex] = ?

Answer:

The y-intercept is -5.

Step-by-step explanation:

In algebra, "y=" and "f(x)=" is basically the same thing. You don't have to write them both. Also, [tex]y=3x-5[/tex] is in slope-intercept form, which is: [tex]y=mx+b[/tex], where [tex]b[/tex] is the y-intercept. That means "-5" is the y-intercept.

Answer:

2

Step-by-step explanation:

f(x) = 3x^3 + 5x^2

f(-1)

so just substitute in the value -1 for x, and solve

f(-1) = 3(-1)^3 + 5(-1)^2

     = 3 * -1 + 5 *1

     = -3 + 5

     = 2

Answer: 32.5

Step-by-step explanation: you divide it.

Answer:

1679616

Step-by-step explanation

A number is :

[tex]x[/tex]

_________________________________

Three quarters of it means :

[tex] \frac{3}{4}x \\ [/tex]

_________________________________

Decrease by 20 means :

[tex] \frac{3}{4}x - 20 \\ [/tex]

_________________________________

Equals to 82 means :

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

Plus sides 20

[tex] \frac{3}{4}x = 82 + 20 \\ [/tex]

[tex] \frac{3}{4}x = 102 \\ [/tex]

Multiply sides by 4

[tex]3x = 102 \times 4[/tex]

Divided sides by 3

[tex]x = \frac{102 \times 4}{3} \\ [/tex]

[tex]x = \frac{102}{3} \times 4 \\ [/tex]

Simplify

[tex]x = 34 \times 4[/tex]

[tex]x = 136[/tex]

So that number is 136 .

_________________________________

And we're done.

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Answer:

The surf shop was higher and the distance would be 12.8 feet above the oceans surface.

Step-by-step explanation:

Answer:

- csc60°

Step-by-step explanation:

240° is in the third quadrant where csc < 0 , thus

csc240° = - csc(240 - 180)° = - csc60°

The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.

The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.

So, cosec 240° = cosec (180°+60°)

cosec (180°+α) = -cosec α

So, cosec (180°+60°) = -cosec 60°

Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.

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Answer:

x = 9

Step-by-step explanation:

For the lines to be parallel, then

9x + 8 and 15x - 46 are alternate angles and congruent, thus

15x - 46 = 9x + 8 ( subtract 9x from both sides )

6x - 46 = 8 ( add 46 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

Answer:

Step-by-step explanation:

15x-46 8+46=15x-9x or, 54=6x or, 54/6=× THEREFORE, x = 9

Answer:

x = 32n + 437............

Answer:

12x

Step-by-step explanation:

2x2=4

4+14x-8

4-8+14

-4+14x=12x

Answer:

to solve, really, you just combine like terms and follow the formula

Step-by-step explanation:

for example:

y2-y1=m(x-x1)

y-3=4(x-5)

y-3=4x-20

y=4x-23

Answer:

1/5 as a percentage:

1/5*100

1/1*20

20/1

20%

1/5 as decimal:

(JUST SIMPLY DIVIDE 1/5)

0.2

Answer:

20% and 0.20

Step-by-step explanation:

Let's say 5/5 = 100, so then in order to convert 1/5 into a percentage, all you have to do is divide 100 by 5, and that will be your percentage:

100 / 5 = 20

So, 1/5 = 20%

Now, as a decimal its basically the same thing, but instead of thinking of it as 100, you think of it as 1.00, and then your decimal form of 1/5 will be 0.20

Hope this helps :)

Answer:

D = 01000100

A = 01100001

D = 01000100

B = 01000010

A = 01100001

S = 01110011

E = 01100101

1 = 00110001

6 = 00110110

Answer:

c=5t+12.50, it cost 17.50 for one person

Step-by-step explanation:

5$ per person

and 12.50 added

c= total cost