Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=

[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]

First, combine like terms:

[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]

[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]

So the simplified expression would be

[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]

Answer:

1) 4x^{5} y^{2} (5y+2xy-1)

2) Implied to have no solution based on given context.

Step-by-step explanation:

Problem 1:

1) Find the Greatest Common Factor (GCF).

[tex]GCF=4x^{5} y^{2}[/tex]

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4x^{5}y^{2} (\frac{20x^{5} y^{3} }{4x^{5}y^{2} } +\frac{8x^{6}y^{3} }{4x^{5} y^{2} } +\frac{-4x^{5} y^{2} }{4x^{5} y^{2} } )[/tex]

3) Simplify each term in parentheses.

[tex]4x^{5} y^{2} (5y+2xy-1)[/tex]

Problem 2:

From the way the problem is given, there is no solution.

Ratio of total circles to total shapes is 4 : 7

An equation is an expression that shows the relationship between two or more variables and numbers.

There are 8 triangles and 6 circles. The ratio of total circles to total shapes is given by:

Ratio of total circles to total shapes = 8 circles : (8 + 6) shapes

Ratio of total circles to total shapes = 8 : 14 = 4 : 7

Find out more about equation at: https://brainly.com/question/2972832

Answer:

7 and that is its simplest form

Step-by-step explanation:

thank me later

Answer:

4

Step-by-step explanation:

14 ÷ 4 = 3.5

3.5 and 7/8 = 4

Answer:

b = 14

Step-by-step explanation:

Since both angles are diagonal each other, they are equal to each other.

5b = b + 56

-b      -b           (subtract b from both sides)

4b = 56

4       4            (divide both sides by 4 to solve for b)

 b = 14

The size of each area is 3x

Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.

From the given parameters.

So, Henry's garden is said to be divided into 12 equal size areas.

∴

The size of each area is;

[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]

[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]

= 3x

Learn more about word problems in mathematics here:

https://brainly.com/question/21405634

I think its C sorry if its wrong

Answer:

D. 2

Step-by-step explanation:

Common denominator is already presented which is 4.

-3/4 and 3/4 cancel each other out.

you can also convert to decimal form -3/4 + 2 3/4 is the same as:

-0.75 + 2.75 = 2.

Answer:

17/18

Step-by-step explanation:

To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.

Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.

Answer:

r u just cheating ur way through a whole test lol

Step-by-step explanation:

its B or 17/18

Answer:

Step-by-step explanation: This is the answer

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

We can explicitly find the inverse. If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then

[tex]f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x[/tex]

Solve for the inverse :

[tex]\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x[/tex]

[tex]\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x[/tex]

[tex]1 - \dfrac4{f^{-1}(x) + 6} = x[/tex]

[tex]1 - x = \dfrac4{f^{-1}(x) + 6}[/tex]

[tex]f^{-1}(x) + 6 = \dfrac4{1-x}[/tex]

[tex]\implies f^{-1}(x) = \dfrac4{1-x} - 6[/tex]

Then when x = -6, we have

[tex]f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}[/tex]

Alternatively, we can first solve for x such that [tex]f(x) = -6[/tex]. Then taking the inverse of both sides, [tex]x = f^{-1}(-6)[/tex]. (The difference in this method is that we don't compute the inverse for all x.)

We have

[tex]\dfrac{x+2}{x+6} = -6[/tex]

[tex]x + 2 = -6 (x + 6)[/tex]

[tex]x + 2 = -6x - 36[/tex]

[tex]7x = -38[/tex]

[tex]\implies x = \boxed{-\dfrac{38}7}[/tex]

Answer:

all the numbers +

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parallel lines have identical slopes

4x - 7y = 9

7y = 4x - 9

y = (4/7)x - 9/7

so the parallel line has form

y = (4/7)x + b

plug in the point on the line

3 = (4/7)7 + b

b = -1

y = (4/7)x - 1

As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline

Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.

Here we can see a series of 3 elements.

the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.

The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.

The third element is a circle, this time with 2 points, and the connection forms a segment.

So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.

Learn more about series:

https://brainly.com/question/24643676

#SPJ1

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2

=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

Answer:

A

Step-by-step explanation:

:)

hope it helps

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

When diving fractions, use KFC:

K eep the first fraction the same

F lip the second fraction upside down

C hange the divide sign to a multiply

After, just work it out multiplying the denominators and the numerators together getting your answer

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

Answer:

I don't have any idea of that question

Step-by-step explanation:

I'm sorry

Answer:

Step-by-step explanation:

The semi-major axis length is √47196900 = 6870 km. That distance from the center of the Earth means the satellite is ...

  6780 -6370 = 500 . . . km

from the surface of the Earth.

The satellite is a maximum of 500 km from the Earth.

(It is a minimum of 250 km from Earth.)

__

The equation has a zero at t=6. When the car's velocity is zero, it is at a complete stop.

The car comes to a complete stop when time is 6 seconds.

(The car is still being accelerated, so it doesn't stay stopped.)

__

I prefer a graphing calculator for a quick solution. You can also solve this equation algebraically.

  0 = 0.5t^2 -10.5t +45 . . . . t when v(t) = 0

  t^2 -21t +90 = 0 . . . . . . . multiply by 2

  (t -6)(t -15) = 0 . . . . . . . . factor

  t = 6 or t = 15 . . . . . . . only t=6 is in the domain of the function

Answer:

Genes are DNA transferred to off spring by parents

Answer:

Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.

Step-by-step explanation:

Answer:

you are in the 45 and 56 zone so yes

Step-by-step explanation:

Answer:

T is =/> 3

Step-by-step explanation:

Add 9t to both sides, 3-4t>/= -9 . Subtract 3 from both sides. -4t>/=-12

divide 12 by 4 for 3. Because 3 results in equality between both sides, it is equal, however if t is greater than 3, the lefthand side becomes greater than the right.

Answer:

Step-by-step explanation:

The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...

  1/9 = portland cement

  3/9 = 1/3 = sand

  5/9 = crushed stone

Since the total is 765 ft^3, the ingredients required are ...

  (1/9)(765 ft^3) = 85 ft^3 portland cement

  (1/3)(765 ft^3) = 255 f^3 sand

  (5/9)(765 ft^3) = 425 ft^3 crushed stone

Answer: D

Step-by-step explanation: less than or equal to 4. graph leads to negative

Answer:

S 32, W 128, M 96

Step-by-step explanation:

W = 4S

S = 1/3M, or 3S = M

S + W + M = 256

Substitute

S + 4S + 3S = 256

8S = 256, S = 32

S = 32

W = 4S = 128

M = 3S = 96

Answer:

-1

Step-by-step explanation: