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Answer:

x = -5

Step-by-step explanation:

x + 4 = -1  (subtract -4 on each side)

(x + 4) + (-4) = -1 + (-4)

therefore,

x = -5

Answer:

9.24 m

Step-by-step explanation:

Dimensions of the scale model:

Dimensions of the real bus:

The ratio is:

Then:

The length of the bus is 9.24 m

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

Answer:

70 DDegrees

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

                                      [tex]\frac{x}{y} =\frac{2}{1}[/tex]  

                                      [tex]x=2y[/tex]  -------------- [equation 1]

                                       [tex]\frac{x+4}{y+4}=\frac{8}{6}[/tex]

                               [tex]6({x+4})=8}(y+4)[/tex]

                               [tex]6x+24=8y+32[/tex]

                               [tex]6(2y)+24=8y+32[/tex]

                               [tex]12y-8y=32-24[/tex]

                                    [tex]4y=8[/tex]

                                     [tex]y=\frac{8}{4}[/tex] = 2 years

Putting the value of y in equation 1 we get;

                                     x = 2y

                                      x = [tex]2 \times 2[/tex] = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

Answer: The ratio of light blue triangles to dark blue triangles is  

✔ 3 to 1

.

For every 1 dark blue triangle, there  

✔ are 3 light blue triangles

.

your w e l c o m e  edge nuity users

Answer:

F' = (-6,3)

Distance = 12 units

Step-by-step explanation:

F is currently at (6,3).

Reflected over the y-axis, it would be at (-6,3).

That puts them 12 units apart.

Answer:

x = 11

m<TGH = 82

Step-by-step explanation:

m<TGH + m<FGT = m<FGH

6x + 16 + 42 = 11x + 3

6x + 58 = 11x + 3

-5x = -55

x = 11

m<TGH = 6x + 16 = 6(11) + 16 = 82

Answer:

P=25 q= -31

Step-by-step explanati

The value of p and q​ are 32 and 24. The relationship will be as p/q = 8/6.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5.

Make p the subject

p = 8q/6 ........equation 1

The year the price was reduced by 4

p - 4/q - 4 = 7/5

Cross multiplication;

5(p-4) = 7(q-4)

5p-20 = 7q-28

5p - 7q = -8 .......equation 2

Subtract 8q/6 for p in equation 1

5(8q/6) - 7q = -8

Multiply through by 6

40q - 42q = -48

-2q = -48

q = 24

Subtract 24 for q in equation 1

p = 8(24)/6

p = 192/6

p = 32

Therefore, the value of p and q​ are 32 and 24. The relationship will be as p/q = 8/6.

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Answer:

A (0, 0).

Step-by-step explanation:

y = x

y = -x

Therefore x = -x.

x + x = 0

x = 0

and y = x = 0.

Answer:

Which ordered pair is a solution to the following linear system?

y = x

y = –x

(1, 1)

(0, 1)

(1, 0)

Correct Answer

(0, 0)

Step-by-step explanation:

just did this on a test.

Answer:

E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Step-by-step explanation:

The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Currency in Europe is Euro

Apple have weight

Volume of apple is measured in kilogram

For instance, if the person is buying 10 kilograms of apples for 20 Euro.

Then the price per kilogram = 20/10

=2 Euro per kilogram

Answer:

1 + sin2x

Step-by-step explanation:

Given

(sinx + cosx)² ← expand using FOIL

= sin²x + 2sinxcosx + cos²x

[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]

= 1 + sin2x

Answer:

[tex]1 + 2 \times \sin(x ) \times \cos(x) [/tex]

Step-by-step explanation:

[tex]( \sin(x) + \cos(x) \: )^{2} [/tex]

By expanding it , we get

[tex] { \sin }^{2} x \: + { \cos }^{2} x \: + \: 2 \times \sin(x) \times \cos(x) [/tex]

we know that

[tex] { \sin}^{2} x + { \cos }^{2} x = 1[/tex]

so,

[tex] { \sin }^{2} x + { \cos}^{2} x + 2 \times \sin(x) \times \cos(x) = 1 + 2 \times \sin(x) \times \cos(x)[/tex]

Answer:

Volume of a rectangular prism = x^3 - 4x^2

Step-by-step explanation:

V = L*W*H

Where,

V= Volume of a rectangular prism

L= Length

W= Width

H= height

Volume of a rectangular prism= Length × Width × Height

Let

length of the box = x

width = length

Width = x

Height= x - 4

Volume of a rectangular prism= Length × Width × Height

= x * x * (x - 4)

= x^2 * (x - 4)

= x^3 - 4x^2

Volume of a rectangular prism = x^3 - 4x^2

Answer: x = 4 / 2y-z

Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}= a^{m+n}\\\\\\(-3)^{5}*(-3)^{2}=(-3)^{5+2}=(-3)^{7}[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{(-3)^7}}[/tex]

Step-by-step explanation:

[tex](-3)^5 \times (-3)^2[/tex]

When bases are same for exponents in multiplication, the exponents are added.

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex](-3)^{5+2}[/tex]

Add the exponents.

[tex](-3)^7[/tex]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

5 (3 - x) - 2 (4 - 3 x) = 11 - 2 (x - 1)

5 (3 - x) = 15 - 5 x:

15 - 5 x - 2 (4 - 3 x) = 11 - 2 (x - 1)

-2 (4 - 3 x) = 6 x - 8:

6 x - 8 - 5 x + 15 = 11 - 2 (x - 1)

Grouping like terms, 6 x - 5 x - 8 + 15 = (-5 x + 6 x) + (15 - 8):

(-5 x + 6 x) + (15 - 8) = 11 - 2 (x - 1)

6 x - 5 x = x:

x + (15 - 8) = 11 - 2 (x - 1)

15 - 8 = 7:

x + 7 = 11 - 2 (x - 1)

-2 (x - 1) = 2 - 2 x:

x + 7 = 2 - 2 x + 11

Grouping like terms, -2 x + 2 + 11 = (11 + 2) - 2 x:

x + 7 = (11 + 2) - 2 x

11 + 2 = 13:

x + 7 = 13 - 2 x

Add 2 x to both sides:

2 x + x + 7 = (2 x - 2 x) + 13

2 x - 2 x = 0:

2 x + x + 7 = 13

Grouping like terms, 2 x + x + 7 = (x + 2 x) + 7:

(x + 2 x) + 7 = 13

x + 2 x = 3 x:

3 x + 7 = 13

Subtract 7 from both sides:

3 x + (7 - 7) = 13 - 7

7 - 7 = 0:

3 x = 13 - 7

13 - 7 = 6:

3 x = 6

Divide both sides of 3 x = 6 by 3:

(3 x)/3 = 6/3

3/3 = 1:

x = 6/3

The gcd of 6 and 3 is 3, so 6/3 = (3×2)/(3×1) = 3/3×2 = 2:

Answer: x = 2

plz see the attachment

Answer:

d=√ 82=9.1

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

We use PEMDAS to solve this,

so P stands for parentheses, so that's where we start.

We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses

-12/3*(-8+16-6)+2

-12/3*(2)+2

Now we divide as in Division in PEMDAS.

-4*2+2

Now we multiply as in Multiplication in PEMDAS.

-8+2

Now we add as in A for Addition

-6

In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.

Answer:

The side length of the square region is about 181,166 kilometres.

Step-by-step explanation:

population density = no. of people / area of region

given

population = 200,000

population density = 1650 people per square kilometers

1650 = 200,000/area of region

=> area of region = 1650*200,000 = 330,000,000

given that region is square in shape

area of square = side^2

side^2 =  330,000,000

side = [tex]\sqrt{ 330,000,000} = 181165,90[/tex]

The side length of the square region is about 181,166 kilometres.

Answer:

B?

Step-by-step explanation:

2 are colored left to right, and 5 down

2/3 of the chart is taken up

Answer:

Hey there!

The correct answer would be C (Third one from the left).

The width is 2/5 (two out of five) and the length is 2/3 (two out of three)

Let me know if this helps :)

Answer:

Step-by-step explanation:

the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be  3n

where n is the number.

IN the answer of the question you would have to explain something like this:

Let n be the number. The product then is  3n

The reason for this is that you could also let n stand for the number, in which case the answer would be 3n

.                                                                        

Answer:

C.

Step-by-step explanation:

The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.

Answer:

C. 24m cannot be the length of the third side

Step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

a = 12,  b = 12

c < a + b

c < 24

therefore based on the choices...

C. 24m cannot be the length of the third side.

Answer to the 1st part: [tex]6x^2+12xh+6h^2-2x-2h+1[/tex]

Answer to the 2nd part: [tex]12x+6h-2[/tex]

==============================================

Work Shown:

Replace every x with (x+h). Expand and simplify

[tex]f(x) = 6x^2-2x+1\\\\f(x+h) = 6(x+h)^2-2(x+h)+1\\\\f(x+h) = 6(x^2+2xh+h^2)-2(x+h)+1\\\\f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\[/tex]

----------------------------

Subtract off f(x), then divide everything over h. Simplify.

[tex]f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-(6x^2-2x+1)\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-6x^2+2x-1\\\\f(x+h)-f(x) = 12xh+6h^2-2h\\\\\frac{f(x+h)-f(x)}{h} = \frac{12xh+6h^2-2h}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{h(12x+6h-2)}{h}\\\\\frac{f(x+h)-f(x)}{h} = 12x+6h-2\\\\[/tex]

The value of Function,  [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]

And, The value of  [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].

Here, the function is given as,

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

What is function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

Now,

Replace every x with (x + h) and expand it,

   [tex]f (x) = 6x^{2} -2x + 1\\f (x+h) = 6(x+h)^{2} -2(x+h) + 1\\f (x+h) = 6 (x^{2} +h^{2} + 2xh) - 2x -2h +1\\f (x+h) = 6x^{2} +6h^{2} +12xh -2x-2h+1\\[/tex]

And,

[tex]f (x+h) - f(x) = ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\\frac{f (x+h) -f (x)}{h} =\frac{ ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\}{h} \\\frac{f (x+h) -f (x)}{h} =\frac{ 6x^{2} +6h^{2} +12xh -2x-2h+1 -6x^{2} +2x-1\\}{h} \\\\\frac{f (x+h) -f (x)}{h} =\frac{12xh +6h^{2}-2h }{h} \\\frac{f (x+h) -f (x)}{h} = 12x + 6h -2[/tex]

Hence,

The value of function [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]

And, The value of  [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].

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Answer:

[tex]b\leq -\frac{19}{14}[/tex]

Step-by-step explanation:

First, write out the equation as you have been given it:

[tex]8-14b\geq 27[/tex]

Now, subtract 8 from both sides:

[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]

Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:

[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]

The highest solution to the inequality is -19/14, and any number lower will also work.

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

[tex]2x+3y=1470[/tex]

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

[tex](2x+3y)-2x=(1470)-2x[/tex]

The left side cancels:

[tex]3y=1470-2x[/tex]

Now, divide both sides by 3. The left side cancels:

[tex](3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490[/tex]

The slope-intercept form is:

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

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move down 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

[tex]y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490[/tex]

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

Answer:

Hey mate,these answers has been excluded from the NCERT syllabus.

Thank you

I've answered as fast as I can to answer your question.Hope you understood it.

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Answer:

Hello, thank you for your word problem. However, your word problem doesn't have a question to it. Please double check your answer. Thank you!

Step-by-step explanation: