Using substitution to alive equation with two variables

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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Answer:

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).

Step-by-step explanation:

Its right?

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

Answer:

a= -3, b= 4 and c= -5

ab + c = (-3)4+(-5) = -12 -5 = -17

Answer:

answer is -17

Step-by-step explanation:

all you have to do for this question is to plug the values for a, b, and c in the question.

ab + c  would be

(-3)*4+(-5)

-12+(-5)

= -17

therefore the answer is -17

Answer: (x,y)=(-2/3,15)

Negative 2 over three

Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Answer:

(-4, 6)

Step-by-step explanation:

Answer:

p-150

Step-by-step explanatio

p=precio

reducido=150

se redujo, quiere decir que es "-"

Entonces dice "que expresión presenta el precio reducido"

Entonces sería:

(precio) - (reducido)

p-150

Answer:

The answer is 7 angles.  

Step-by-step explanation:

There 7 alternate exterior angles with angle 5.  

Correct me if I'm wrong!

Thank you!!!

The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.

The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.

Hence, the angle that is alternate exterior angles with angle 5 is as follows:

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Answer: See below

Step-by-step explanation:

1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.

5²×3=25×3=75

A shows 75.

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2. You need to first distribute each factor and then combine like terms.

-14a+10b+20a-32b+2

6a-22b+2

B

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3. You need to first distribute each factor and then combine like terms.

-6n+30+18n-12

12n+18

D

Answer:

If x is greater than 0, then y is greater than x

For example:

x = 2 => y = 4(2) = 8, 8 > 2

x = 3 => y = 4(3) = 12, 12 > 3

If x is = 0, then y is equal to x, because x = 0 => y = 4x = 4(0) = 0 => x = y = 0

If x is less than 0, then y is smaller than x

For example:

x = -2 => y = 4(-2) = -8, -8 < -2

x = -3 => y = 4(-3) = -12, -12 < -3

Hope this helps!

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/(x2-x1)

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

Answer:

The answer is 4/B

Step-by-step explanation:

Mark me brainiiest.

Answer:

Step-by-step explanation:

y + 1 = 1(x + 7)

y + 1 = x + 7

y = x + 6

Answer:

[tex]4\frac{1}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]

[tex]\frac{27}{4} \div \frac{5}{3}[/tex]

[tex]\frac{27}{4} \times \frac{3}{5}[/tex]

[tex]\frac{27 \times 3}{4 \times 5}[/tex]

[tex]=\frac{81}{20}[/tex]

[tex]=4\frac{1}{20}[/tex]

Answer:

7 divided by 2

Step-by-step explanation:

Answer: d. 21

Step-by-step explanation:

The formula to find a discriminant is b^2-4ac.

ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!

(-1)^2-4(-1)(5)=

1-4(-5)

1+20

21

The discriminant is 21.

Hope this helps!

Answer:

P(A and B) = 0.1344 = 13.44%

Step-by-step explanation:

If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.

It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21

P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

Answer:

2 2/3 yd

Step-by-step explanation:

Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?

8 ft x 1 yd/3 ft = 8/3 yd

As a mixed number:

8/3 = 2 2/3 yd of fabric

Answer:

63.6

Step-by-step explanation:

[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]

Answer:

point - slope form: y+1 =2(x+2)

slop - intercept form:  y =2x +3

standard form : 2x -y = -3 or -2x+y = 3

Step-by-step explanation:

find slope from given points using slope formula y₂ -y₁ / x₂ -x₁

slope m =5-(-1)/1-(-2) =6/3 =2

point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so

y - (-1) = 2(x -(-2))

y+1 =2(x+2)

slop - intercept form is y =mx +b where m is a slope and b is y intercept

now if you rearrange y+1 =2(x+2) as y =......

y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3

standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be

2x -y = -3

graphing is done by using  slop - intercept form:  y =2x +3

pick 2 points and draw the line; use given points

Answer:

At least 11: x≥11  ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11  ; Between 3 and 11: 3≤x≤11  ; Inclusive no more than 3: x≤3

Step-by-step explanation:

At least means that the number can't be lower than 11 (11 included)

At least means that the number can't be higher than 11 (11 included)

More means that the number must be higher than 11 ( 11 not included)

Fewer than means that the number must be lower than 11 ( 11 not included)

"Strictly between" means excluding the endpoints

Including endpoints.

Inclusive includes number 3 (less or equal)

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Look at the attachment

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Answer:

its c

Step-by-step explanation:

-4 is the y- intercept form and 2/3 is the slope

Answer:

C.

Step-by-step explanation:

Y intercept is -4 so a. and b. are out right away

the slope is up two over three so change in Y over change in X

Answer:

48 miles per hour

Step-by-step explanation:

Take the miles and divide by the time to get miles per hour

120 miles / 2.5 hours

48 miles per hour

Answer:

the bus is going 48 mile per hour

Step-by-step explanation:

The numeral coefficient is the number ( the one that we know)- so its 6

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

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Answer:

Slope: -1

y-intercept: 0

The graph of the function y = - x is attached at the end of the answer.

        [y] = ax + b

        It has a degree of one and has only one root.

Given is the function as -

y = f(x) = - x

We have the following function -

y = - x

The function y = -x is a linear function. Refer to the graph of the function attached. The function has a slope of -1 .

Therefore, the graph of the function y = -x is attached with the answer.

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