3y + 2 = 4x , x+ 5y = 3 what is the solution to the system of equations shown above? (in fraction form)

Answer:

The equation of a straight line is always [tex]y=mx+b[/tex], where m is a constant which is the slope and b is a constant which is the y-intercept.

Substitute these values in:

[tex]y=3x-7[/tex]

The graph would look like the image attached.

Answer:

Option A

Step-by-step explanation:

[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]

Hope this helps.

Answer:

x is -3

Step-by-step explanation:

Hey there!

11x + 3 = 6

SUBTRACT 3 to BOTH SIDES

11x + 3 - 3 = 6 - 3

CANCEL out: 3 - 3 because it gives you 0

KEEP: 6 - 3 because it helps you solve for your x-value

11x = 6 - 3

11x = 3

DIVIDE 11 to BOTH SIDES

11x/11 = 3/11

CANCEL out: 11/11 because that gives you 1

KEEP: 3/11 because it simplifies for the x-value

SOLVE

x = 3/11

Therefore, your answer should bed x = 3/11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths in a right-angled triangle :

c² = a² + b²

c is the Hypotenuse, the side opposite of the 90 degree angle.

a and b are the "legs".

3.

c² = 10² + 21² = 100 + 441 = 541

c = sqrt(541) = 23.2594066...in

so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be

c² = 10² + sqrt(21)² = 100 + 21 = 121

c = 11in

4.

10² = a² + 6²

100 = a² + 36

64 = a²

a = 8 m

5.

again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.

given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?

also interesting that it says "attitudes" - plural. what do you mean by that ?

because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?

with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".

6.

similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.

so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.

what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.

going from the small to the large triangle we have to transform 4ft into 60ft.

what do I have to multiply 4 with to get 60 ?

4 × x = 60

x = 60/4 = 15

so, the flag pole is

15×1 = 15ft tall.

Answer:

3 1/8

Step-by-step explanation:

16 bags = 50 m

1 bag = 50/16

1 bag = 25/8

1 bag = 3 1/8 ( due to mixed fraction )

so the cloth needed to make one bag is 3 1/8 m

Answer:

4.75 feet

Step-by-step explanation:

Let the height of the flagpole be x

Sin 53 = x/12

x = 12 × Sin 53

x = 12 × 0.3959

x = 4.75 feet

Answer:

15.9

Step-by-step explanation:

The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.

Tan 53 = X

             --------

               12

To get rid of the 12 multiply both sides of the equation by 12. so

Tan 53 x 12 = X/12 x 12

Tan 53 x 12= X

X= 15.9

Answer:

Honestly the intercept should be on the axis

Step-by-step explanation:

Answer:

You didn't helped me with my question so no

Step-by-step explanation:

Answer:

-3 > P

Step-by-step explanation:

1 > 3P + 10​

Subtract 10 from each side

1-10 > 3P + 10-10​

-9 > 3P

Divide each side by 3

-9/3 > 3P/3

-3 > P

Answer:

364 and 1034

Step-by-step explanation:

Answer:

Initial velocity = 25 m/s

Final velocity = 0 m/s

Step-by-step explanation:

    Initial velocity is the speed in the beginning and final velocity is the speed in the end.

    The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.

Answer:

answer is 2

Step-by-step explanation:

funny pic

Answer : 5 , 6 , 7 and 8

Step-by-step explanation:

.....

Answer:

-4.2

Step-by-step explanation:

First me put a and b in

2x12

24

(24 - 3) = 21

b: -20

-20 divided by 4 = -5

21 divided by -5

Answer= -4.2

Answer:  (12xy^2)

Step-by-step explanation:

12x^2y^3

(12xy^2)*(xy)

24xy^2

(12xy^2)*(2)

The greatest common factor of the expressions 12x²y³ and 24xy² will be 12xy².

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expressions are given below.

12x²y³ and 24xy²

The factor of the expression 12x²y³ is given as,

12x²y³ = 12 × x × x × y² × y

The factor of the expression 24xy² is given as,

24xy² = 2 × 12 × x × y²

The common factors in both expressions are 12, x, and y². Then the greatest common factor will be given as,

⇒ 12 × x × y²

⇒ 12xy²

The best normal component of the articulations 12x²y³ and 24xy² will be 12xy².

More about the greatest common factor link is given below.

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The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

The standard form of a polynomial expression is written as:

[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]

A polynomial function has a leading degree that is greater than 2;

Given the polynomial function

[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]

From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

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Answer:

Step-by-step explanation:

The number of decimal places in the product is the sum of the numbers of decimal places in the factors.

1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.

2. 1 + 1 = 2 decimal places in the product

3. 2 + 2 = 4 decimal places in the product

4. 1 + 1 = 2 decimal places in the product

_____

Additional comment

If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.

Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.

Answer:

4.725

2.473.6

3.370.414

5.312.08

Step-by-step explanation:

[tex]\\ \sf\longmapsto 12x-15[/tex]

Distributive property

Take 3 common

[tex]\\ \sf\longmapsto 3(4x-5)[/tex]

Done

y equals 50° since there is a 90° and a 30°

Answer:

cos^-1 (9/15)

Step-by-step explanation:

The y intercept means that $8 must be paid to step into the cab.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total pay for x miles

Since $8 per ride and $0.35 per mile, hence the equation is:

y = 0.35x + 8

The y intercept means that $8 must be paid to step into the cab.

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Answer: 3.42

Step-by-step explanation: use trig equations. Sin 20 = x/10. Multiply both sides by 10. Sin (20) times 10 is 3.42

Answer:

x = 3.42

Step-by-step explanation:

For the 20° angle, x is the opposite leg.

10 is the hypotenuse.

sin A = opp/hyp

sin 20° = x/10

x = 10 × sin 20°

x = 3.42

Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +10 (from -5 to 5)

y changes by +1 (from -4 to -3)

the slope is +1/+10 = 1/10

the equation looks now like

y = (1/10)x + b

let's use the first point.

-4 = (1/10)×-5 + b = -1/2 + b

-3 1/2 = -7/2 = b

the equation is

y = (1/10)x - 7/2

so, the second answer option is correct.

Answer:

y=3x-1

Step-by-step explanation:

I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)

Answer:

y intercept is (0, -4)

equation is y = x - 4

Step-by-step explanation:

The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)

The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.

The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.

So the slope is 4/4 = 1.

The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.

The equation is slope times x plus y intercept value.

So putting this all together gives you an equation of

y = 1·x + -4

a.k.a.

y = x-4

Answer:

i think the details given for the question is in sufficient or question is wrong

The solution is

The total amount for the lunch is given by the equation A = $ 45.648

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for the lunch be represented as A

Now , the equation will be

The amount for the first lunch = $ 12.35

The amount for the second lunch = $ 14.22

The amount for the third lunch = $ 11.47

The percentage of tip = 20 %

So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47

On simplifying the equation , we get

The total amount for the lunch without tip = $ 38.04

The amount of tip = total amount for the lunch without tip x percentage of tip

Substituting the values in the equation , we get

The amount of tip = 38.04 x ( 20/100 )

The amount of tip = 38.04 x 0.20

The amount of tip = $ 7.608

So ,

The total amount for the lunch A = total amount for the lunch without tip +  amount of tip

Substituting the values in the equation , we get

The total amount for the lunch A = $ 38.04 + $ 7.608

The total amount for the lunch A = $ 45.648

Therefore , the value of A is $ 45.648

Hence , the total amount is $ 45.648

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