Solve 4(t+1)= 6(g-4)

ALL LINES CAN BE REPRESENTED IN THE FORM [tex]f(x) = ax+b[/tex].

We know that:

[tex]f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5[/tex]

and

[tex]f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17[/tex]

Observe that:

[tex]3a+b = 2a+a+b = 2a+(a+b)[/tex]

So:

[tex]2a+(a+b) =-17[/tex]

But we know that [tex]a+b = -5[/tex], so:

[tex]2a+(a+b) =-17[/tex]

[tex]2a+(-5) = -17[/tex]

[tex]2a = -12[/tex]

[tex]a = -6[/tex]

Since:

[tex]a+b = -5[/tex]

[tex](-6)+b = -5[/tex]

[tex]b = 1[/tex]

So the line is:

[tex]f(x) = 1-6x[/tex]

Answer:

5x = -4

Step-by-step explanation:

5x = -4

x would have to be -4/5 because -4 divided by 5 is -4/5.

The equation will be 5x = -4 to get the solution of -4 / 5.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.

The equation will be formed as below:-

5x = -4

x = -4 / 5

Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.

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no you are actually doing really good keep it up

Answer:

Its right but you might wanna simplify 12, 15, 16, and 17

Step-by-step explanation:

Answer:

Assuming you meant x² + 12x + 11, then it would be expressed as:

(x + 6)² - 25

Step-by-step explanation:

The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected.  It would just be x² + 33.  Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.

x² + 12x + 11

= x² + 12x + 36 - 25

= (x + 6)² - 25

Answer:

216

Step-by-step explanation:

Answer: I think the first similar to KLM

Step-by-step explanation:

Answer:

[tex] y = \frac{3}{10} x[/tex]

Step-by-step explanation:

[tex]y - 3 = \frac{3}{10} (x - 10) \\ \\ y - 3 = \frac{3}{10} x - \frac{3}{10} \times 10 \\ \\y - 3 = \frac{3}{10} x - 3 \\ \\y = \frac{3}{10} x - 3 + 3 \\ \\ y = \frac{3}{10} x + 0 \\ \\ \purple{ \bold{ y = \frac{3}{10} x}} \\ is \: the \: required \: equation[/tex]

Answer:

8%

Step-by-step explanation:

158220 - 146500 = 11720

(11720/146500) × 100 = 8

Answer:

120

Step-by-step explanation:

I believe it is, I cant really explain good but trust me :)

Answer:

222 fence posts

Step-by-step explanation:

Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct  to the nearest 10 centimetres, there can be x fence posts 90 cm long.

So, we have x × 90 cm = 20 m

x × 0.9 m = 20 m

x = 20 m/0.9 m

x = 222.22

x ≅ 222 fence posts

So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.

Answer:

What do you need help with? :P

Step-by-step explanation:

Hav a gud day :3

Answer:

a. Yes it's a proportional relationship. It is because Distance is travelled uniformly.

b. Unit is m/min^2.

c. It means he is travelling in meters with minutes counting how far he have travelled.

Hope this helped. Dont forget to give thanks.

Answer:

84 %

Step-by-step explanation: I also got this question

Step-by-step explanation:

378/450×100

0.84×100

=84%............

Answer:

124 miles.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 in = 20 miles

6 1/5 in =?

Next, we shall express 6 1/5 in decimal for easy calculation . This can be obtained as follow:

6 1/5 = 31 / 5

6 1/5 = 6.2 in

Finally, we shall convert 6.2 in to miles. This can be obtained as follow:

1 in = 20 miles

Therefore,

6.2 in = 6.2 in × 20 miles / 1 in

6.2 in = 124 miles

Thus, 6 1/5 in is equivalent to 124 miles.

Therefore, there are 124 miles between the two towns.

Answer:

2.25

Step-by-step explanation:

-9/-4= 2.25

I did the work and it's what the person above me said.

Answer:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the lines

y = 3/2x + 2

Finding the slope of y = 3/2x + 2

comparing with the slope-intercept form of the line equation

The slope m₁ = 3/2

y = 2/3x + 6

Finding the slope of y = 2/3x + 6

comparing with the slope-intercept form of the line equation

The slope m₂ = 2/3

So,

m₁ = 3/2

m₂ = 2/3

We know that when two lines are parallel, they have equal slopes

But  

m₁ ≠ m₂

3/2 ≠ 2/3

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × 2/3

             = 6/6

             = 1

As  

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Answer:

1.50 is what percent of 32

what percent of 32 is 1.50 ?

Solution: 1.50 is what percent of 32 is equal to (1.50 / 32) x 100 = 4.69%. So if you buy an item at $32 with $1.50 discounts, you will pay $30.5 and get 4.69% discount cashback rewards so 4.69 is your answer

Step-by-step explanation:

Hope this helps

Answer:

2. The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!

The domain is

✔ all real numbers

The range is

✔ all real numbers greater than or equal to –2

Step-by-step explanation: i put the picture of the graph down below I think that was the one you were talking about just tell me if i got the wrong one

Answer:

Part A)

5th and 6th Choices

Part B)

[tex]\displaystyle y=\frac{1}{4}x^2-x-4[/tex]

Step-by-step explanation:

We are given a parabola with focus at (2, -4) and the directrix given by y = -6.

Part A)

Since our directrix is an equation of y, the distance from any point (x, y) on the parabola to the directrix will simply be the absolute value of the difference of the y-values. Hence:

[tex]d_1=|y-(-6)|=|y+6|[/tex]

Again, we will use the distance formula. Let the point (x, y) be (x₂, y₂) and our focus (2, -4) be (x₁, y₁). Then by the distance formula:

[tex]d_2=\sqrt{(x-2)^2+(y-(-4))^2}=\sqrt{(x-2)^2+(y+4)^2[/tex]

Hence, our answers are the 5th and 6th choices.

Part B)

By definition, any point (x, y) on the parabola is equidistant to the focus and the directrix. Hence:

[tex]\sqrt{(x-2)^2+(y+4)^2}=|y+6|[/tex]

Square both sides. We may remove the absolute value as anything squared yields a positive. Hence:

[tex](x-2)^2+(y+4)^2=(y+6)^2[/tex]

Square:

[tex](x^2-4x+4)+(y^2+8y+16)=(y^2+12y+36)[/tex]

Rearrange:

[tex](x^2-4x+20)-(36)=(y^2-y^2)+(12y-8y)[/tex]

Combine like terms:

[tex]x^2-4x-16=4y[/tex]

Divide both sides by 4. Hence, our equation is:

[tex]\displaystyle y=\frac{1}{4}x^2-x-4[/tex]

Answer: 35 times 50% is 17.5 so she got a 40% discount because 35 times 40% equals 14

Step-by-step explanation:

You have to do first 35•50% and get your answer and if it’s not the right number then go up or down and I went down 10 and got 14 when I did 35•40%

Answer:

I believe the answer is 10

Answer:

$9000

Step-by-step explanation:

Answer:

iTS B which would be 9,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) y  = 2x  ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6        {Add like terms}

  3x    = 6

       x = 6/3

      x = 2

Plugin x = 2 in (I)

 y = 2*2

y = 4

Check:

     LHS = x +y

             = 2 + 4

            = 6  = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y     ------------(II)

Substitute x = (-1/2)y in (I)

[tex]5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}[/tex]

Substitute y = (2/5) in equation (II)

[tex]x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}[/tex]

Check:

Substitute x and y value in equation (I)

[tex]LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS[/tex]

3) y - x = 3x + 2

        y = 3x + 2 + x

         y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14     ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

        14x + 6 = 14

              14x = 14 - 6

              14x = 8

                 x = 8/14

            x = 4/7

Substitute 'x' value in (I)

[tex]y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}[/tex]

Check:

[tex]LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS[/tex]

Answer: B

Step-by-step explanation: the answer is (0,1)

Answer:

$16 Dollars

Step-by-step explanation:

Answer:b

Step-by-step explanation:

A sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).

The correct answer is an option (C)

"It means changing the size and position of an object from its original position to a new position."

"It is a transformation that turns a figure about a fixed."

For given example,

We need to describe the transformation that maps Figure A to Figure B.

First we rotate figure A by 90° about the origin.

We can observe that the size of the figure B is larger than the figure A.

So, after rotation we expand figure A by 2 units.

Therefore, a sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).

The correct answer is an option (C)

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Answer:

G. 4

Step-by-step explanation:

Most geometrical solids can be unfolded into a flat pattern referred to as a net. This shows each part or surface spread out on an horizontal plane. The folding of the net with respect to the edges produce the initial solid.

From the given diagram,it can be observed that when the net is folded with respect to the edges, it would form a cuboid with x = 4.

Answer: There are 154 different meals that you can get with this offer.

Step-by-step explanation:

The total number of combinations will be equal to the product of the numbers of options for each selection.

Here we know that:

"Buy a sandwich and get either a snack or a drink for free."

Then we have two selections:

Sandwich, where we have 11 different types.

Snack or a drink (we can choose only one) there are 9 options for snacks, and 5 options for drinks, then there is a total of 9 + 5 = 14 options.

The total number of different combinations is:

Combinations = 11*14 = 154

There are 154 different meals that you can get on the offer.