What are the x-and y intercepts for the graph of 5x-2y=20?

Hey there! :)

Answer:

y = 4x + 48

Step-by-step explanation:

Original equation:

y = 1/4x -12

Switch 'x' and 'y' to solve for the inverse:

x = 1/4y - 12

Add 12 to both sides:

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4:

4(x+12) = y

4x + 48 = y

The inverse is y = 4x + 48

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x - 12

y = 1/4x - 12

Add 12 to both sides.

y + 12 = 1/4x

Multiply both sides by 4.

4y + 48 = x

Switch variables.

4x + 48 = y

Answer:

first term a=4

Step-by-step explanation:

Sum of the first 6 terms S6 = 15624

common ratio r= 5

n= 6

first term a=?

Formula: S6= a(r^n-1)/r-1

15624 = a( 5^6-1)/5-1

15624 = a(15625-1)/4

15624= a( 15624)÷4

15624= 15624a÷4

Cross multiply

15624×4 = 15624a

62496 = 15624a

divide both sides by 15624

62496÷15624 = 15624a÷15624

4 = a

a= 4

Answer:

18.84 meters.

Step-by-step explanation:

The formula for a circle is πr^2.

πr^2 = 28.26

3.14 * r^2 = 28.26

r^2 = 9

r = plus or minus 3.

But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.

The formula for the circumference is 2πr.

2 * 3.14 * 3 = 6 * 3.14 = 18.84.

So, the circumference of the circle is 18.84 meters.

Hope this helps!

Answer:

Hey there!

6(7-4n)

42-24n

-24n+42

Hope this helps :)

Answer:

42-24n

Step-by-step explanation:

(7-4n)6

42-24n

-24n+42

Hope this helps ;) ❤❤❤

Tenemos que sean x e y los lados de la huerta entonces el perímetro sería:

P = 2*x + 2*y

Sabemos que el perimetro es 140, reemplazando:

140 = 2*x + 2*y

x + y = 70

despejamos y, nos queda:

y = 70 - x

Ahora tenemos que el área sería:

A = x*y

reemplazamos y:

A = x*(70 - x)

A = 70*x - x^2

Esta sería la ecuación que modela el área de la huerta.

Derivamos e igualamos a 0:

0 = 70 - 2*x

x = 70/2

x = 35

ahora calculamos y:

y = 70 - 35

y = 35

El área máxima sería:

A = 35*35

A = 1225 m^2

Answer:

y = 0

z = 5

Step-by-step explanation:

Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.

The correct answer is $307.5

Explanation:

The total of the bond after 20 years is $150 plus the interests during this time (105% of $150). This last value can be calculated by multiplying the percentage (105) by the total ($150) and dividing it into 100% (total percent represented by $150. The process is shown below:

[tex]150 = 100[/tex]%

[tex]x = 105[/tex]%

[tex]x = \frac{150 x 105}{100}[/tex]

[tex]x = 157.5[/tex]

This means the total money in interest is $157.5 and this added to $150 is equivalent to $307.5

Answer:

B

Step-by-step explanation:

Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.

Answer:

36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)

If you want to add friends on brainly click their profile picture you will see send friend request click on it and then boom you are friends with that person but you have to wait until the person add you back.

Step-by-step explanation:

Mark me as brainliest

The ratio would start as 36:12

The front number (36) can be divided by the back number (12)

The 36:12 can be reduced to 3:1

The ratio is 3:1

I think when you click on someone name and go to their profile there is a button to request as a friend.

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

a) Standard equation of direct proportion:

y = kx

We need to find k. We can use the given values of x and y to find k.

x = 6; y = 30

30 = k * 6

k = 30/6 = 5

Now we use k = 5 in the standard equation to get this problem's direct proportion equation.

y = 5x

b)

x = 12

y = 5x

y = 5 (12)

y = 60

Answer:

a) x = 10

Step-by-step explanation:

En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.

Entonces, el angulo C es 7x.

En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.

7x + 2x + 90 = 180

7x + 2x = 90

9x = 90

x = 10

Espero que este te ayude!

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

Answer:

in 1st sequence put 1 instead of n

i.e

a1=3×1+2

=3+2

=5

Step-by-step explanation:

now do all the 50 terms by placing 1 to 50 instead of n

Answer:

x = 6/5

y = 8/5

Step-by-step explanation:

3x - y = 2

2x + y = 4

Add the equations, cancelling y.

5x = 6

x = 6/5

Put x as 6/5 in the second equation and solve for y.

2(6/5) + y = 4

12/5 + y = 4

y = 4 - 12/5

y = 8/5

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

45 = k

v = [tex]\frac{45}{w}[/tex] ← equation of proportion

When w = 4 , then

v = [tex]\frac{45}{4}[/tex] = 11.25

Answer:

A ≈ 3215.36

Step-by-step explanation:

A = πr²

Radius - D/2

Radius - 64/2 → 32

A = 3.14(32)²

A = 3215.36

Hope this helps! :)

Answer:

3215.36 um²

Step-by-step explanation:

d = 2r => r = d/2 = 64/2 = 32 um

A = π·r²

= 3.14·32²

= 3.14·1024

≈ 3215.36 um²

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▹ Answer

3x + 5

▹ Step-by-Step Explanation

8x - 2 - 5x + 7

= 3x - 2 + 7

= 3x + 5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: For the equation to have one solution, use any number that does not contain 3x.

Step-by-step explanation:

8x - 2 - 5x + 7

Combine like terms

3x + 5

Answer:

Required angle measures 39°

Step-by-step explanation:

Let's say, x measures the angle between the hypotenuse and the common base of two triangles.

Sin(x) = 5/8

x = 39°

This angle is complementary to the angle other than theta (let's say y) in the required triangle.

90 - x = y and 90 - theta = y

>>> Theta = x

Best Regards!

Answer:  b=46

Step-by-step explanation:

b+33 = b-13 +  b    the exterior angle  is the sum of two interior angles.

                            so they have to equal each and solve for b

b+33=b -13 + b  

b +33 = 2b -13      

   + 13         +13

b+ 46 = 2b

-b          -b

  46 = 1b

b=46

Answer:

A 5% raise can be written as 1.05 so the new salary is 25100 * 1.05 = $26355.

Answer: The bottom option, the graph.

Step-by-step explanation:

A relation is something that gets input from a set, called domain (usually the x) and "transforms" them into an output, from a set called the range.

Now, a relation is only a function if, for all the elements x in the domain, each one of them has only one element y in the range associated to it.

For example, in the first set we can see that the value x = 1 appears two times, it is related to different values in the range, then this is not a function.

The second relation is not a function.

the third relation is:

x = 3*y^2 - 7

This is a function, but in this relation x is the output and y the input, so this is a function of y.

In the fourth relation we can see a graph, this is a function (each value in the domain is related to only one in the range), and in the horizontal axis we can see a x, so this is a function of x.

Answer:

D

Step-by-step explanation:

Answer:

[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]

Step-by-step explanation:

Given

Polynomials A to D

Divisor: x - 2

Required

Which of polynomial A - D has a remainder of -7

We start by equating the divisor to 0

[tex]x - 2 = 0[/tex]

Make x the subject of formula

[tex]x = 2[/tex]

Next is to substitute 2 for x in the polynomials to get the remainder;

[tex]A.\ 4x^3 + 2x^2 + 5[/tex]

[tex]4(2)^3 + 2(2)^2 + 5[/tex]

Open Brackets

[tex]4 * 8 + 2 * 4 + 5[/tex]

[tex]32 + 8 + 5[/tex]

[tex]Remainder = 45[/tex]

[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]

[tex](2)^3 - 2(2)^2 - 4(2) + 1[/tex]

Open Brackets

[tex]8 - 2 * 4 - 4 * 2 + 1[/tex]

[tex]8 - 8 - 8 + 1[/tex]

[tex]Remainder = -7[/tex]

[tex]C.\ 3x^2 + 6x - 2[/tex]

[tex]3(2)^2 + 6(2) - 2[/tex]

Open Brackets

[tex]3 * 4 + 6 * 2 - 2[/tex]

[tex]12 + 12 - 2[/tex]

[tex]Remainder = -2[/tex]

[tex]D.\ -2x^3 + 4x^2 + 3x - 2[/tex]

[tex]-2(2)^3 + 4(2)^2 + 3(2) - 2[/tex]

Open Brackets

[tex]-2 * 8 + 4 * 4 + 3 * 2 - 2[/tex]

[tex]-16 + 16 + 6 - 2[/tex]

[tex]Remainder = 4[/tex]

From the calculations above, the polynomial with a remainder of -7 when divided by [tex]x - 2[/tex] is [tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]

The value of the polynomial [tex]x^3-2x^2-4x+1[/tex] is -7 at x = 2. So, option B is correct.

Important information:

According to the Remainder Theorem, if a polynomial is p(x) is divided by (x-c), then the remainder is p(c).

If polynomials have a remainder of -7 when divided by x – 2. So, the value of the polynomial must be -7 at x = 2.

Substitute x = 2 in the first polynomial.

[tex]4(2)^3+2(2)^2+5=45\neq -7[/tex]

Substitute x = 2 in the second polynomial.

[tex](2)^3-2(2)^2-4(2)+1=-7[/tex]

Substitute x = 2 in the third polynomial.

[tex]3(2)^2+6(2)-2=22\neq -7[/tex]

Substitute x = 2 in the fourth polynomial.

[tex]-2(2)^3+4(2)^2+3(2)-2=4\neq -7[/tex]

Only the value of the second polynomial is -7 at x = 2. Therefore, the correct option is B.

Find out more about 'Remainder Theorem' here:

https://brainly.com/question/4515216

Answer:

A

Step-by-step explanation:

edge 2020

The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

Learn more about the rate of change here:

brainly.com/question/12786410

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Answer:

y - 1 = (3/5)x

Step-by-step explanation:

First find the slope of this line.  As we move from (0, -2) to (5, 1), x (the 'run') increases by 5 and y (the 'rise') increases by 3.  Thus, the slope of this line is m = rise / run = 3/5.

Using the point-slope formula for the equation of a straight line:

y - 1 = (3/5)(x - 5), or

y - 1 = (3/5)x                This can also be written as 5y - 5 = 3x, or

y = (3/5)x + 1

Answer:

A and e

Step-by-step explanation:

Answer:

A =  0    -7                             b=   0     -7

      3     2d                                   3      2d    

Let's calculate A and B:

Calculte (AB)^(-1):

Calculte B^(-1) and A^(-1):

so:

(AB)^(-1) = B^(-1) * A^(-1)

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

Answer:

y = -3/2x-9/2

Step-by-step explanation:

We have two points ( -3,0) and (-1,3)

The slope is

m = (y2-y1)/(x2-x1)

   = (-3-0)/(-1- -3)

   = (-3-0)/(-1+3)

    = -3/2

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y =-3/2x+b

Using the point (-3,0)

0 = -3/2(-3) +b

0 = 9/2+b

b = -9/2

y = -3/2x-9/2

Answer: 168 hours

Step-by-step explanation:

There are 24 hours in a day.  Thus, simply multiply 7*24 to get 168.

Hi there! Hopefully this helps!

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Answer: There are 168 hours in 7 days.

Since there 24 hours in a day, Multiply 24 times 7 and you get 168.

Example : 24 x 7 = 168.