2y=4
y-5z=-3
6x-9y+4z=-20

Find the slope of the parallel line

When two lines are parallel, they have the same slope.

                ⇒  if the slope of this line = 1

                     then the slope of the parallel line (m) = 1

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  (5, 4)  

                              ⇒  y - 4 = 1 (x - 5)                                

                                ∴  y - 4  = x - 5

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                     since    y - 4 = x - 5

To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.                        

Answer:

B

Step-by-step explanation:

It has a not as steep incline

Answer:

Ryan sold 12 cell phones

Step-by-step explanation:

2000+15x12

Answer:if one part is bigger than the other then its bigger

this should help

Answer:

(8 × 3) + (8×2)

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Like terms must have exactly the same variables and exactly the same exponents.

In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.

Answer: C.

Answer:

3 – x

Step-by-step explanation:

A number in this case we will as x. And 3 less than x is -

3 – x

x - 3

Hope i helped ya!

Answer: he would need to sell at least 41 candies to make a profit

Area = w × h

w = width

h = height

Answer:−6y+9.6z−3

Step-by-step explanation:−(6y−9.6z+3)

−6y+9.6z−3

Answer:

Step-by-step explanation:

Denominators of the fractions are 7 and 3, which are mutually prime numbers.

The LCD is the product of 7 and 3:

Simplify into mixed fraction

[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]

[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]

Find LCD

[tex]\\ \sf\longmapsto 7(3)[/tex]

[tex]\\ \sf\longmapsto 21[/tex]

Answer:

$310.8 khoydoydydyiivkfi

Answer:

Is A

Step-by-step explanation:

Answer:

4).3√42ft

5).√3 yd

.....................

Answer:

x= 21 is correct answer because x and 21° are opposite angles and opposite angles are congruent

Answer:

21 degrees

Step-by-step explanation:

Angle subtended by the arc is half the angle at the centre of the circle(98 degrees).

Answer:

$1.1

Step-by-step explanation:

[tex] \frac{100}{price \: before \: \: decrease \: (x)} \: = \frac{100 - 20}{0.88} [/tex]

[tex] \frac{100}{x} = \frac{80}{0.88} [/tex]

Cross multiply

80x = 88

X = 88/80

X = 1.1

the cost of one liter of fuel in May 2014 was $1.10.

Let's denote the cost of one liter of fuel in May 2014 as "x" dollars.

According to the information given, the cost of one liter of fuel in May 2015 was a decrease of 20% on the cost in May 2014. This means that the cost in May 2015 was 80% of the cost in May 2014.

Mathematically, we can express this as:

Cost in May 2015 = (100% - 20%) * Cost in May 2014

0.88 = 0.8 * x

Now, let's solve for "x" (the cost in May 2014):

x = 0.88 / 0.8

x = 1.10

So, the cost of one liter of fuel in May 2014 was $1.10.

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Answer:

3.5 grams

Step-by-step explanation:

8/8=1, 28/8=3.5

3.5 grams per serving

Answer:

Step-by-step explanation:

1) Not a polynomial. Because x² is in the denominator.

2) Yes, it is a polynomial.

Standard form: 5x² + 2x - 99

3) Not a polynomial.

[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .

Power of x is a fraction. so , it is not a polynomial.

4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.

5) Yes:

Standard form: -3x⁴ + 12x² + 7x

Answer:

9 Remainder 2 which is also 9.4

Step-by-step explanation:

The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.

Brainliest maybe? I need one more and I level up in rankings.

Answer:

9 remainder 2.

Step-by-step explanation:

5 * 9 = 45

47 - 45 = 2.

Answer:

4

Step-by-step explanation:

Answer: 6x^2+1

(very sorry if this is wrong lol)

Step-by-step explanation:

Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.

Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1

Answer:

1024

Step-by-step explanation:

The expression can be written as [tex]8 * 2^7[/tex]

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Example: The standard form of the polynomial 5 + 2x + x² is expressed.

We shall first determine the polynomial's degree before expressing it in standard form.

The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.

Given:

8*2^7

The above expression can be written as

[tex]=8 * 2^7[/tex]

= 8 x 128

= 1024.

Hence, the expression can be written as [tex]8 * 2^7[/tex]

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Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Step-by-step explanation:

Answer:

Natural numbers are simply positive integers.  For now, refer to the middle number (the third number), as x.  Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2.  Simply add all these numbers to get 5x, a number that is divisible by 5.  As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

$0.52

Step-by-step explanation:

3.19 (headband) - 2.67 (bracelet) = 0.52

Answer:

36

Step-by-step explanation:

(1/3)x - (1/4)x = 3

multiply by 12 to clear the fraction

4x - 3x = 36

x = 36

Answer:

20

Step-by-step explanation:

15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.

Answer:

The equation of a line in point-slope form is y-Y1=m(x-X1). ”m” is the slope and (X1,Y1) is a point.

So, the equation in point-slope form is y+5=12(x+4).

:)

Answer:

f(x)= -1/2x+1

Step-by-step explanation:

The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.

Answer:

2nd option

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here a = - 1 < 0 then maximum

The maximum value is the value of the y- coordinate of the vertex

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

Here a = - 1 and b = 3 , then

x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]

Substitute this value into the equation for corresponding y- value

y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]

Then maximum value of [tex]\frac{5}{4}[/tex]

9514 1404 393

Answer:

  c = 108°

  d = 106°

Step-by-step explanation:

There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.

The derived relations we can use in this problem are ...

__

The vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...

  c = 78° +30* = 108°

__

Angles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:

  d + 30° +44° = 180°

  d = 180° -74° = 106°

x/3

Hope this helped uou, have a good day bro cya)

Step-by-step explanation:

1 year

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