write
an equation of the line
with the given
slope and y
Intercept.
Slope: -1/3 and y intercept:-1

Answer:

We can make 120 three digit distinct numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the number is xyz, we have:

Total number of possible 3-digit numbers:

9514 1404 393

Answer:

  b = -2ax

Step-by-step explanation:

Multiply both sides of the equation by -2a.

  x = -b/(2a)

  (-2a)x = b(-2a)/(-2a) = b

  b = -2ax

Answer:

The diameter is 2 meters

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

2 pi = pi *d

Divide each side by pi

2 = d

The diameter is 2 meters

Answer:

[tex] \sqrt[4]{2} [/tex]

Step-by-step explanation:

I hope I answer your question

The volume of a cylinder is V=πr^2*h.

The volume of this cylinder is V=π(7)^2*12, which it V=588π.

Answer:

the second option, y=1/2cos(x- pi/4)

Step-by-step explanation:

The mean height of the boys will be 1.73m.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given that:-

If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65 = 24.75m.

If the mean height of 10 boys is x meters, the sum of the boys’ heights is 10x m. The sum of all 25 students’ heights is

25×1.682=42.05m.

The mean height of the boys.

24.75+10x=42.05,

x =(42.05-24.75)/10

x =1.73m,

Therefore the mean height of the boys will be 1.73m.

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Answer:

The total cost of the hotel rooms was $401.25.

Step-by-step explanation:

Rooms = $375 + 7% tax

Convert 7% to a decimal:

7% = 0.07

Multiply the cost by the tax:

$375 × 0.07

$26.25

Add the tax to the cost:

$375 + $26.25

$401.25

Given:

Goal = 250 cans

Number of collected cans = 290

To find:

The percent of their goal they achieved.

Solution:

The percent of their goal they achieved is:

[tex]\text{Required percent}=\dfrac{\text{Number of collected cans}}{\text{Goal}}\times 100[/tex]

[tex]\text{Required percent}=\dfrac{290}{250}\times 100[/tex]

[tex]\text{Required percent}=\dfrac{29}{25}\times 100[/tex]

[tex]\text{Required percent}=29\times 4[/tex]

[tex]\text{Required percent}=116[/tex]

Therefore, they achieved 116% of their goal.

After answering the question provided, we can predict that the result will be as  The position and direction of the relevant parabola will determine the appropriate response.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

It is hard to tell which equation may be the equation of the parabola without further details on the parabola's orientation and location.

The equations in options A and B are parabolas with upward or downward openings and a vertex at the origin. The equation of a parabola with its vertex at the origin and an opening to the right or left is in Option C. The equation of a parabola with an upwards or downwards opening and its vertex at the point is in Option D. (0,0).

The position and direction of the relevant parabola will determine the appropriate response.

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Answer:

[tex]\frac{3x}{4x} =\frac{3x+7}{5x-8}[/tex]

[tex]\frac{3}{4} =\frac{3x+7}{5x-8}\: (cross\: multiply)[/tex]

[tex]3(5x-8)=4(3x+7)[/tex]

[tex]15x-24=12x+28\\+24~~~~~~~~~~~~+24[/tex]

[tex]15x=12x+52\\-12x~~~~-12x\\-------\\3x=52[/tex]

[tex]\frac{3x}{3} =\frac{52}{3}[/tex]

[tex]x=52/3[/tex]

[tex]Answer:C[/tex]

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

Hope it helps...

Have a great day!!

Answer:

Simultaneously equation

9514 1404 393

Answer:

  4 days

Step-by-step explanation:

The total charges can be modeled by ...

  c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

  375 = 75d +75

  300 = 75d . . . . . . . subtract 75

  4 = d . . . . . . . . . . divide by 75

Chris rented the car for 4 days.

Answer:

4 DAYS!! THIS GETS ALL 3 MARKS!!!

Step-by-step explanation:

Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.

£375.00 - £150.00 = £225.00

£225.00 - £75.00 = £150.00

£150.00 - £75.00 = £75.00

£75.00 - £75.00 = £00.00

= Chris rented the car for 4 days

225.00 ÷ 75 = 3

3 days + 1 days = 4 days

he total charges can be modeled by ...

c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

375 = 75d +75

300 = 75d . . . . . . . subtract 75

4 = d . . . . . . . . . . divide by 75

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Answer:142

Step-by-step explanation:

Answer: 142°

Step-by-step explanation:

The inside angles will always add up to 180° for triangles

So do

[tex]180-30-34 = 116[/tex]

But since you are subtracting 26 from U ad 26 to u and you get your answer.

116 + 26 = 142

Step-by-step explanation:

here's the answer to your question

Answer:

x = 45. the option is C

Ihope its right

Answer:

9x, 8x+12

Step-by-step explanation:

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

=> 9x

Hello!

x² - 4x + 6 = 9 <=>

<=> x² - 4x + 6 - 9 = 0 <=>

<=> x² - 4x - 3 = 0 <=>

<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>

<=> x = 4±√16+12/2 <=>

<=> x = 4±√28/2 <=>

<=> x = 4±2√7/2 =>

=> x = 4+2√7/2 and x = 4-2√7/2 =>

=> x = 2+√7 and x = 2-√7

The equation has two solutions.

Good luck! :)

Answer:  [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]

how i got it?

[tex]x^2 - 4x + 6 = 9[/tex]

*subtract 9 on both sides*

[tex]x^2 - 4x + 6 - 9 = 0[/tex]  ( which turns to) [tex]x^2 - 4x - 3=0[/tex]

a=1 or x, b=-4, c=-3

Step 2: Use quadratic formula with a=1, b=-4, c=-3.

[tex]x= - (-4) + or - \sqrt{-4}x^{2} -4(1)(-3) / 2(1)[/tex]

which turns to: x= 4 + or - √28 divided by 2

the final answer should be [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]

Answer:

x = 0, y = -2

Step-by-step explanation:

[tex]\left \{ {{-10x-6y=12} \atop {4x+7y=-14}} \right. = \left \{ {{-10x=12+6y} \atop {4x+7y=-14}} \right. = \left \{ {{x=\frac{12+6y}{-10} }(1) \atop {4x+7y=-14}} \right[/tex]

Replace x from formula (1) to formula (2), we got:

[tex]4*\frac{12+6x}{-10}=-14 <=> \frac{-2}{5}(12+6y)+7y=-14 <=> \frac{-24}{5} + \frac{-12}{5}y+7y=-14 <=> \frac{23}{5}y = \frac{-46}{5} <=> y = -2\\=> x= \frac{12+6*(-2)}{-10} = 0[/tex]

Answer:

x = -7/b

Step-by-step explanation:

bx = -7

Divide each side by b

bx/b = -7/b

x =-7/b

Solve the equation for x : bx = -7

Here we are provided to find for x so from the equation by cross multiplying we will remove b to the right hand side of the equation and then we can get x

bx = -7

Now, to cross multiply

x = -7/b

Therefore, the required answer is -7/b

Answer:

Step-by-step explanation:

Filling in the values we were given:

[tex]2(9)+5(-6(3)-4)[/tex] and we start inside the parenthesis first:

[tex]2(9)+5(-18-4)[/tex] and

[tex]2(9)+5(-22)[/tex] and by order of operations, we do multiplication or division, whichever we come to first:

18 - 110 = -92

Step-by-step explanation:

An economy is made up of every single activity that has to do with production, consumption, and the buying and selling of goods or rendering services.

In an economy there are combinations of market transactions and decisions made collectively or in hierarchy. Individuals, families, businesses, governments make up the decision-making process.

Money is the legal tender of an economy. It is the medium of exchange that an economy uses for transactions.

Answer:

0 is the whole number

Step-by-step explanation:

negative numbers are negative so they can't be counted as whole numbers which means -5 isn't an option.

Whole numbers can't be stated in fraction form so 2/3 is not applicable here.

32.8 is also not the answer as decimals are part of a whole number, not actual whole numbers.

so, 0, is the only right answer here

Answer:

NO

Step-by-step explanation:

To find the length of AB

AB = sqrt( (x2-x1)^2 + (y2-y1)^2)

      = sqrt ( ( 2 - -1)^2+ ( -1 -3)^2)

      = sqrt( 3^2 + (-4)^2)

      = sqrt(9+16)

    = sqrt(25)

    = 5

To find the length of AC

AC = sqrt( (x2-x1)^2 + (y2-y1)^2)

      = sqrt ( ( -4 - -1)^2+ ( -1 -3)^2)

      = sqrt( ( -3)^2 + (-4)^2)

      = sqrt(9+16)

    = sqrt(25)

    = 5

To find the length of BC

BC = sqrt( (x2-x1)^2 + (y2-y1)^2)

      = sqrt ( ( -4-2)^2+ ( -1 --1)^2)

      = sqrt( ( -6)^2 + (0)^2)

      = sqrt(36)

    = 6

    This is not an equilateral triangle since BC is not equal to AB = AC

Answer:

Step-by-step explanation:

Some coordinates of a triangle is given to us. And we need to find the length of AB , BC and AC . The given coordinates are ,

[tex]\rm\implies Coordinates = A(-1,3) , B(2,-1) \ and \ C(-4,-1) [/tex]

We can use the Distance Formula to find the length of sides of the triangle .

Finding length of AB :-

[tex]\rm\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2} \\\\\rm\implies \overline{AB}= \sqrt{ (-1-2)^2+(-1-3)^2} \\\\\rm\implies \overline{AB}= \sqrt{ (-3)^2+(-4)^2} \\\\\rm\implies \overline{AB}= \sqrt{ 9 + 16} \\\\\rm\implies \overline{AB}= \sqrt{25} \\\\\rm\implies\boxed{\red{\rm \overline{AB}= 5 \ units}}[/tex]

Finding length of AC :-

[tex]\rm\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2} \\\\\rm\implies \overline{AC}= \sqrt{ (-1+4)^2+(-1-3)^2 }\\\\\rm\implies \overline{AC}= \sqrt{ (-3)^2+(-4)^2} \\\\\rm\implies \overline{AC}= \sqrt{ 9 + 16} \\\\\rm\implies \overline{AC}= \sqrt{25} \\\\\rm\implies\boxed{\red{\rm \overline{AC}= 5 \ units}}[/tex]

Finding length of BC :-

[tex]\rm\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2} \\\\\rm\implies \overline{BC}= \sqrt{ (-4-2)^2+(-1-1)^2} \\\\\rm\implies \overline{BC}= \sqrt{ 6^2+0^2} \\\\\rm\implies \overline{BC}= \sqrt{ 36+0} \\\\\rm\implies \overline{BC}= \sqrt{36} \\\\\rm\implies\boxed{\red{\rm \overline{BC}= 6 \ units}}[/tex]

Is it a Equilateral triangle ?

No the given triangle is not a equilateral triangle since the measure of all sides is not same.

Answer:

x= -2 is correct answer

Step-by-step explanation:

3(-2×-2)+13(-2)+14=0

3(4)+13(-2)+14=0

12+(-26)+14=0

12-26+14=0

12+14-26=0

26-26=0

0=0

Answer:

[tex]7\frac{7}{12}[/tex]

Step-by-step explanation:

Answer:

nepal is a land locked country.it is surrounded by india from eas west and south and chime form north

according to ecological fivison it is divided into three region

1.terai

2.hilly

3. himalyan

In hilly region there is more production of crops and vegetables . peplo come in terai region to sell vegetables and they do work with unity .

thry have their own work.so they work in unity which help to terai region grow crops and hilly region sell it in Himalayan region from which terai help to grow crops usually there is a fertile land and it occupies 42%.

Answer:

27 attendees

Step-by-step explanation:

First, we can find the cost per attendee.

78÷26

3

So $3 per attendee.

Then divide 81 by 3 to find the number of possible attendees.

81÷3=27

I hope this helps!