Y=x+6 make x the subject​

Answer:

14

Step-by-step explanation:

*Notice that number of green marbles did not change throughout

Therefore,

36 green marbles -> 2/5 of Sean total marbles

Sean's total marbles = 36/2 *5 = 90

Number of red marbles won = 90-36-40 = 14

Answer:

[tex]circumference \: = 2 \times 3.14 \times 3 = 18.84[/tex]

Answer:

[12] 7x+5

[13] 72

Step-by-step explanation:

[12] [tex]7x^2+75+50[/tex]

First, Multiply the coefficient of the first term by the constant   7 × 50 = 350

Then, find two factors of  350  whose sum equals the coefficient of the middle term, which is  75 .

Then,  Rewrite the polynomial splitting the middle term using the two factors  5  and  70

                    7x^2 + 5x + 70x + 50

Add up the first 2 terms, pulling out like factors :

                   x × (7x+5)

             Add up the last 2 terms, pulling out common factors :

                   10 × (7x+5)

               (x+10)  • (7x+5)

Hence, Answer = 7x + 5

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[13]  

A perfect square trinomial is a quadratic equation of the form

[tex]ax^2+bx+c=0[/tex]  

and a result of squaring a binomial. This means that the first and third term of the trinomial is equal to the square of the first and second term of a binomial. Therefore, in order to determine the value of the third term, we can use the method of completing the square in which the formula is

[tex]c=(\frac{b}{2a})^2[/tex]

where c is the constant and b and a are the coefficients of the first and the second term.

The trinomial 9x^2+72x+144 is a perfect square trinomial, because it's discriminant is equal to zero

Δ=b 2 −4ac=72 2 −4(9)(144)=0  

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~Learn with Lenvy~

The trajectory of your message illustrates a quadratic function

The equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

The trajectory graph (see attachment) is a quadratic function that passes through the following points:

(x,y) = (7,0) and (27,0)

And the vertex is:

(h,b) = (17,20)

A quadratic function is represented as:

[tex]y = a(x - h)^2 + b[/tex]

So, we have:

[tex]y = a(x - 17)^2 + 20[/tex]

Substitute (7,0) for (x,y)

[tex]0 = a(7 - 17)^2 + 20[/tex]

Evaluate

[tex]0 = 100a + 20[/tex]

Collect like terms

[tex]100a = -20[/tex]

Divide both sides by 100

[tex]a = -\frac 15[/tex]

Recall that:

[tex]y = a(x - 17)^2 + 20[/tex]

So, we have:

[tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Hence, the equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Read more about quadratic functions at:

https://brainly.com/question/4115477

Answer:

16.8

Step-by-step explanation:

The scale factor is a ratio. The surface area of the real ramp is 16.80 ft².

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

As we know that the height of the real ramp is 1.2 feet, while the height of the drawing is 6 cm, therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Area of Image}}{\text{Area of pre-image}}=\dfrac{1.2 \ feet}{6\ cm} = 0.2[/tex]

Now, the area of the pre-image can be written as,

[tex]\rm \text{Area of pre-image} = 2triangles+ 2 rectangle + 1 rectangle\ at\ base[/tex]

                             [tex]= 2(0.5 \times 6 \times 16) + 2(10 \times 9) + (16 \times 9)\\\\= 2(48)+2(90)+144\\\\= 96 + 180 + 144\\\\ = 420\ cm^2[/tex]

Further, the area of the actual ramp can be written as,

[tex]{\text{Area of pre-image}} \times \rm Scale\ factor = \text{Area of Image}\\\\ \text{Area of Image}= 420 \times (0.2)^2 \\\\ \text{Area of Image}= 16.8\ ft^2[/tex]

Hence, the surface area of the real ramp is 16.80 ft².

Learn more about Scale Factor:

https://brainly.com/question/22644306

x2^-3x+1

Step-by-step explanation:

All you have to do is the 3 Forms of Quadratic Equations

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

Answer:

Well the discount with 15% off is $2.25. Now subtract 15.00-2.25 to get 12.75. You are paying $12.75 for the discounted pizza.

Step-by-step explanation:

Answer: Initially it looks like Mindy is making a profit of $0.75 plus the pizza worth $12. So it is a fair deal for Mindy. Now coming to the part of the pizza shop owner, we find that he also gains extra $2.25 from this deal. So it is a fair deal for both the shop keeper and Mindy.

Answer: There is no slope

Step-by-step explanation:

These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.

Step-by-step explanation:

given distance belongs to family figures

Answer:

2(x-4)+2(2x+5)

Step-by-step explanation:

The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.

Answer:

P = 2(2x+5) + 2(x-4)

Step-by-step explanation:

Perimeter is found by adding all sides

(2x+5) + (2x+5) + (x-4) + (x-4)

Notice there are two sets of sides.

Answer:

This process is called

Producing. underwriting.

Step-by-step explanation:

Answer: [tex]15^{2} - 12^{2} \\= 81 = 9^{2}[/tex]

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13

Answer:

1/3

Step-by-step explanation:

1 cup and 6 hours (5) over total (15)

5/15 simplifies to 1/3

Answer:

Step-by-step explanation:

Answer:

  f(x) -g(x) = 4x +11

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) -g(x) = (-2x+4) -(-6x-7)

Eliminating parentheses, we get ...

  f(x) -g(x) = -2x +4 +6x +7 = (-2+6)x +(4 +7) . . . . combining like terms

  f(x) -g(x) = 4x +11

Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.

Answer:ssssssssssuuuuuuupp

Step-by-step explanation:

Answer:

375km

Step-by-step explanation:

The tourist has already covered 3% of the journey.

So the remaining distance to be covered is 64% f the total journey.

(100% - 36% = 64%)

Therefore 64% of the journey = 240km

Then 100% of the journey:

  y km --> 100%

  240 km --> 64%

Total length of the route = 240 km * (100/64) = 375km

Answer:

No it will not form a right triangle it will form a SSS triangle

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side but if you used 7 9 and 11 it would give you a SSS triangle.

Answer:

(10-2.35)/.75 =10.2 miles.

Step-by-step explanation:

Answer:

7) A    8) C

Step-by-step explanation:

number 7 tells us that y=x+1

so we just basically plug it in

2x+3(x+1)=4  Answer: A

to eliminate x's in number 8, we have to multiply one of the equations by -1

let's multiply the second one

4x+3y=6

4x ·-1-y·1=2·-1

4x+3y=6

-4x+y=-2

x's eliminate

4y=4, meaning that the answer is C

Answer:

-1.25x+2

Step-by-step explanation:

x intercept = 2.5

y intercept = 2

0-y intercept/x intercept-0 = m

0-2.5/2-0 = -1.25

Equation form:

y = m*x+b where b is  the y intercept.

m = -1.25

c = 2

To put it all together,

y = -1.25x+2

Replace x in y in the equation and see if it is true:

5x + 3y = -4

5(-5) + 3(7) = -25 + 21 = -4  

(-5,7) is a solution

5(1) + 3(-3) = 5 + -9 = -4

(1,-3) is a solution

Answer:

-3=-2 -2=-1 -1=0 0=1 1=2 2=3 3=4

Step-by-step explanation:

You add one to each of the listed numbers due to the question being x+1 so you take all of your x´s and add one raising their amount up by 1

[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]

[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]

[tex]\\ \rm\Rrightarrow 10x=160[/tex]

[tex]\\ \rm\Rrightarrow x=16[/tex]

Now

Answer:

y = 58°

z = 122°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore,

(7x + 10) + y = 180

(3x + 10) + z = 180

Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.

Therefore,

y = (3x + 10)

z = (7x + 10)

Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:

⇒ (7x + 10) + (3x + 10) = 180

⇒ 10x + 20 = 180

⇒ 10x = 160

⇒ x = 16

Calculate angle y and angle z by substituting the found value for x into their equations:

y = 3(16) + 10 = 58°

z = 7(16) + 10 = 122°

Answer:

There are two terms in the expression...

Hope this helps!!!!

Answer:

to make the full cake the strawberries required will be (4/3) cups.

Step-by-step explanation: