Rewrite the expression as a fraction.

Answer:

See below.

Step-by-step explanation:

Problem:

Solve y=2x;y=−x+2

Steps:

I will solve your system by substitution.

y=2x;y=−x+2

Step: Solve y=2 x for y:

Step: Substitute 2x for y in y=−x+2:

y=−x+2

2x=−x+2

2x+x=−x+2+x(Add x to both sides)

3x=2

3x/3 = 2/3 (Divide both sides by 3)

x=2/3

Step: Substitute 2/3 for x in y = 2x

y=2x

y = 2(2/3)

y = 4/3 (Simplify both sides of the equation)

Answer:

x = 2/3 and y = 4/3

Answer:

only one at x = 2/3 y = 1 1/3

Step-by-step explanation:

At the same solution point Y = Y so

2x = -x + 2

3x = 2

x = 2/3

Answer:

False

Step-by-step explanation:

these lines are unable to form a triangle, the longest line (BA) is 15. The other small lines (AC and CB) if added together, need to be longer than 15, otherwise if you were trying to form a triangle, they would not be able to connect completely with eachother while creating a triangle shape

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The lines for the given statements can be plotted as shown below.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The lines for the given statements can be plotted as shown below.

The coordinate grid can be filled as,

1)

x        0         3         1

y        3         0         2

2.)

x        0         1         -1

y         1         0          2

3.)

x         0         4         -1

y         -2         0          2

4.)

x         0         1           1

y         -2         0         -2

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Step-by-step explanation:

if 900 is increased by 20% then

120/100×900=1080

Decreasing it by 20% then

80/100×1080=864

Answer:

The given question is incomplete. The graphs for the question are attached below.

Total savings on other costs expected in the following month is 13,950.

Total other costs targeted for next month for the five locations:

Washington Place = 14,850

Lincoln Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

Step-by-step explanation:

According to the graphs, there are two parts to this question

1. In the following month, 10% savings on other costs are expected.

The graph is attached below for reference

10% savings on other costs are expected in the following month:

=> (4,000 + 2,000 + 5,000 + 2,000 + 2,500) * (1-10%)

=> 15,500 * [tex](1-\frac{10}{100})[/tex]

=> 15,500 * [tex]\frac{90}{100}[/tex]

=> 13,950

Total savings on other costs expected in the following month is 13,950

2. Total other costs target for next month for the five locations are:

Washington Place = 6,000+3,000+3,500+ 4,000 = 16,500 * 0.9 = 14,850

Lincoln Square = 5,000+ 2,000+ 2,000+2,000= 11,000 * 0.9 = 9,900

Millienium Concourse =7,000+3,000+5,000+5,000= 20,000 * 0.9 =           => 18,000

The old mill = 6,000+ 5,000+ 4,000=15,000 * 0.9 = 13,500

CWG Tenton = 0 * 0.9 = 0

Total other costs target for next month for the five locations:

Washington Place = 14,850

Lincoin Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

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The area of a trapezium with base 8 top 6 height 4 is 28 cm².

Given that, base of trapezium (b)=8 cm, top of trapezium (a)=6 cm and height of trapezium = 4 cm.

What is the area of a trapezium?

The trapezium is a quadrilateral with pair of sides parallel. The area of a trapezium is the area enclosed within its four sides.

We know that area of a trapezium [tex]=\frac{1}{2}(a+b) \times h[/tex]

Where a and b are parallel sides of a trapezium.

Now, the area of a given trapezium [tex]=\frac{1}{2}(6+8) \times 4[/tex] cm²

=14×2=28 cm²

Therefore, the area of a trapezium with base 8 top 6 height 4 is 28 cm².

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The function is [tex]y = (x +2)^2 + 5.[/tex]

we use the vertex form of the quadratic equation

We have given a graph,

y = a(x - h)^2 + k.

Therefore the vertex of the given graph is

See the vertex at (-2, 5)

Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).

[tex]y = a(x - (-2))^2 + 5.\\y=a(x+2)^2+5......(1)[/tex]

Now we have given that (-4,1) use this value in the above equation so we get,

[tex](1)=a(-4+2)^2+5[/tex]

[tex]1=a(-2)^2+5[/tex]

[tex]1=4a+5[/tex]

[tex]1-5=4a[/tex]

[tex]-4=4a[/tex]

[tex]a=-4/4[/tex]

[tex]a=-1[/tex]

Using the value of an in equation (1) we get,

Therefore the function is [tex]y = (x +2)^2 + 5.[/tex]

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Answer:

C. 261

Step-by-step explanation:

45 times 7= 315

326-315=11

125 times 2=250

250+11=261

so the answer is C. $261

Answer:

the dependent variable is the data because it's the one that changes

Answer: C

Step-by-step explanation:

just took it

The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.

Given that, the surface area of a cone is 250 square centimetres. The height of the cone is double the length of its radius.

We need to find what is the height of the cone to the nearest centimetre.

The area occupied by the surface/boundary of a cone is known as the surface area of a cone. It is always measured in square units. Stacking many triangles and rotating them around an axis gives the shape of a cone. As it has a flat base, thus it has a total surface area as well as a curved surface area.

If the radius of the base of the cone is "r" and the slant height of the cone is "l", the surface area of a cone is given as total surface area, T = πr(r + l) square units

Now, let the radius of a cone be x.

Then the height of the cone is 2x.

Slant height=√x²+4x²

=√5x

So, the surface area of cone=πx(x+2.24x)

⇒250=3.14 × 3.24x²

⇒x²=24.57

⇒x=4.95≈5 centimetre

So, height=2x=10 centimetre

The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.

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In scientific Notation , After 10 years he will have in total 2 x 10 ³ pounds.

Scientific Notation is a way of writing very large or small quantities.

It is written in the form of  x 10ˣ

It is given that

The colony of bees has a single queen, hundreds of male drones and roughly 60,000 female worker bees.

The quantity of honey produced is 200 pounds.

After 10 years he will have in total

200 * 10 = 2000 pounds

In scientific Notation it will be written as

2 x 10 ³ pounds.

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5 is the missing value.

Step-by-step explanation:

12x = 60

x = 60/12

x = 5

Answer:

[tex]\boxed{\rm x = 5}[/tex]

Step-by-step explanation:

[tex] \rm \cfrac{12}{20} = \cfrac{3}{x} [/tex]

Find the missing value.

Solution with work shown:

Use criss-cross multiplication:

Divide both sides by 12:

Hence,the missing value is 5.

Answer:

b and d

Step-by-step explanation:

there are two

but only one is an answer choice

b and d

the other which is not an answer choice is

a and c

gathmath

Answer:

[tex]\text{B}) \text{ } -3 < x < -1\\\text{D}) \text{ } 2 < x < \infty[/tex]

Step-by-step explanation:

The graph lies below the x-axis.

The number of picture books does Annette have is 76 books.

Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and  he gave her 5 books of fairytales

We need to find the number of picture books does she have

According to the statement the total number of books does Annette have is

3k+4k+5k = 12k

Where k is total number of books

Now , Picture book she have = 3/12k = 1/4k

Encyclopedia she have = 4/12k = 1/3k

Fairy tale she have = 5/12k

Here,

Encyclopedia +14 = Fairy tale

Substituting the values of Encyclopedia and Fairy tale

(1/3 -1/2)k +14 = (5/12k -5 )

Therefore.

(1/6k+14) = (5k/12-5)

Therefore,

14+5 = 5k/12 - k/6

Therefore,

19 = 3k/12

19*4=k

76 = k

Here k = 76 books

Hence the total number of picture books does she have is 76

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Answer:

[tex]x < - \frac{2 + y}{7} [/tex]

Step-by-step explanation:

[tex] - 7x > 2 + y \\ x < - \frac{2 + y}{7} [/tex]

The equation of the line is x = -9 , Option  is the correct answer

The equation of a line is given by y = mx+c

where m is the slope and c is the intercept

It is given that

A line passes through (-9,-6) and has an undefined slope.

undefined slope means it is a vertical line at -9

Therefore the equation of the line is x = -9 , Option  is the correct answer

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Answer:

4

Step-by-step explanation:

10xyz/40xyz

the xyz would cancel out

leaving 10/40.

10/40 would then simplify to 1/4 (divide by 10)

1/4

The reciprocal of 1/4 is 4

To check:

1/4 * 4 = 1

Answer:

She has 20 coins in her bank, where she has 12 nickels and 8 quarters

Step-by-step explanation:

Q = N + 8,   25Q + 5N = 560

25(N + 8) + 5N = 560

25N + 200 + 5N = 560

25N + 200 - 200 + 5N = 560 - 200

30N = 360

30N / 30 = 360 / 30

N = 12 nickels

Finding amount of Quarters:

Q = N + 8 → Q = 12 + 8

Q = 20 quarters

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Answer:

one thousand two hundred fifty six

Step-by-step explanation:

please mark me as brainlest

The domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

given function:

f(x) = x² + x -3

g(x) = 1/x+1

Now, solving the equation

gof = g(f(x))

=g( x² + x -3)

=1/(x² + x -3)+1

=1/ x² + x -2

= 1/ x² +2x - x -2

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

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

Hence, the domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .

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An equation is formed of two equal expressions. If x is increased by 5 then the value of y is increased by 10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that y=2x+1, now if the value of x increased by 5. then the value of y will be,

[tex]y_1=2(x+5)+1\\y_1 = 2x + 11[/tex]

Now if we compare y and y₁, then it can be said that if x is increased by 5 then the value of y is increased by 10.

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Answer: (0, -6) and (1, -5)

Step-by-step explanation:

If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,

[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]

If x=0, y=-6.

If x=1, y=-5.

So, the solutions are (0, -6) and (1, -5)

Answer:

1 answer

The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is

5%3×4+14-15 answers thes questions

Answer:

78

Step-by-step explanation:

even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2

the "sum" of a group of numbers is the numbers added together

So, the numbers between 23 and 29:

23, 24, 25, 26, 27, 28, 29

(even numbers are in bold)

    if we add these numbers together,

 {1}                                  {carry the 1 from the 18 in the one's place}

  24

  26

+ 28

______

  78

So the sum of all the even numbers between 23 and 29 is 78.

hope this helps!!

Step-by-step explanation:

there are clearly some typos in the question.

so, to summarize what I understood :

the roof of each playhouse is an isoceles triangle, with the largest angle being 146°.

we need to find the other 2 angles.

"isoceles" means that both legs are equally long.

that means automatically that both side angles (bottom left and bottom right) are equally large too.

and now, this please burn into your brain forever :

the sum of all angles in a triangle (no matter what type) is always 180°.

so, if we call a side angle x, we have here

180 = 146 + x + x = 146 + 2x

34 = 2x

x = 17°

so, both missing angles are 17°.

a pretty flat triangle roof.