For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c where a, b, and c are integers and a is not negative).

Answer:

Simplify

(

x

−

3

)

(

x

+

2

)

(

x

+

3

)

.

f

(

x

)

=

x

3

+

2

x

2

−

9

x

−

18

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  5

Step-by-step explanation:

A graph can be helpful. It shows possible integer coordinates of Z could be ...

  (-1, 2) or (-5, 1)

These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.

__

The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.

__

Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.

Answer:

47/7

Step-by-step explanation:

I think the answer is 6 5/7 or 47/4

Answer:

6 5/7

Step-by-step explanation:

Hope this helps!

Best of luck! ♥

Answer:

radius is 6.5

I hope it's helps you

9514 1404 393

Answer:

  d)  3195

Step-by-step explanation:

The distances traveled make an arithmetic series, the sum of which is given by ...

  Sn = (2·a1 +d(n -1))(n/2)

This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...

  S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195

The cart travels 3195 inches.

Answer:

B) 7.5% decrease

Step-by-step explanation:

(11,100 - 12,000) / 12,000 = -9/120 or -3/40, which is -0.075

Answer:

x=111, y=36, z=76

Step-by-step explanation:

isn't it already in order

Answer:

-23, -10, -9, -7, -6, -4, -3, -2, -1, 0, 1, 2, 3, 5, 8, 10, 11, 15, 22, 23

Step-by-step explanation:

literally the question itself is the answer.

Answer:

144 cars

Step-by-step explanation:

2hours times 60 minutes = 120

120/5 minutes=24

24x6=144

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

Answer:

$51.38

Step-by-step explanation:

1 - .25 = .75

you're paying 75% of the price

68.50 • .75 = 51.375 ≈ $51.38

Answer:

b) y=3

Step-by-step explanation:

Answer:

The answer is 1,300 tickets.

Step-by-step explanation:

If you add 2%+8%+16%= 26%  26% of 5,000 is 1,300.

Answer:

1300

Step-by-step explanation:

platinum: 2%+club: 8%+ floor: 16%=26%

[tex]\frac{26}{100}[/tex]×[tex]\frac{5000}{1}[/tex] =1300

Answer:

13.416 or 13.4

Step-by-step explanation:

Answer1.79

Step-by-step explanation:

jayfeather friend me

Answer:

4n ≥ 5/6

Step-by-step explanation:

Hope this helps!!!

19.

I hope this answer helped! please mark brainliest and vote 5 stars >:)

Answer:

x=4

Step-by-step explanation:

i used mathaway

3x+2 = 7x-14

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

The solution is 2.5x + 5y = 12.5

The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The total distance ran by the marathon participant = 12.5 miles

Let the time taken by the participant to walk be = x

Let the time taken by the participant to run be = y

Now , the speed of the participant when walking = 2.5 miles per hour

The speed of the participant when running = 5 miles per hour

So , the equation will be

The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk

Substituting the values in the equation , we get

The distance traveled when walking = 2.5x

And ,

The distance traveled when running = speed of the participant when running x time taken by the participant to run

Substituting the values in the equation , we get

The distance traveled when running = 5y

Now ,

The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running

Substituting the values in the equation , we get

2.5x + 5y = 12.5

Therefore , the equation will be 2.5x + 5y = 12.5

Hence ,  the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run

To learn more about equations click :

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#SPJ2

Answer:

that box in the corner of the angle represents 90°

90° is also known as a right angle

Subtract 90° from 37°.

You should come up with 53°.

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

hurray

Answer:

{0, 1, 2, 3, 4, 5,....} ;

{0, 1, 2, 3} ;

Step-by-step explanation:

Number of insect on a randomly selected plant

The number of insect in such an experiment will be an integer value ;

Hence, sample space will be ;

{0, 1, 2, 3, 4, 5,....}

B.) Event of at most three insects:

Number of insects = 0 ;

Number of insect = 1 ;

Number of insect = 2 ;

Number of insect = 3 ;

n ≤ 3 {x : x ≤ 3}

{0, 1, 2, 3}

3.)

Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.

Answer:

Only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Step-by-step explanation:

Given the expression

(5x+6) over 2 = 3-(4x + 12)

Let us simplify the expression

[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]

Multiply both sides by 2

[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]

[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]

Expand -(4x + 12) = -4x - 12

[tex]5x+6=-8x-18[/tex]

Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].

Further solving

[tex]5x+6=-8x-18[/tex]

Add 8x from to both sides

[tex]5x+8x=-8x-24+8x[/tex]

Simplify

[tex]13x=-24[/tex]

Divide both sides

[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]

Simplify

[tex]x=-\frac{24}{13}[/tex]

Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help

Answer:

B. 5

Step-by-step explanation:

If the question is 48° = 7x + 13:

48° = 7x + 13 –– Subtract 13 from both sides

35 = 7x –– Divide both sides by 7 to get x alone

5 = x

Btw, your picture is blank

Answer:

a= 158

b=22

Step-by-step explanation:

First we have to find b in order to find a.

To find b we need to add up the two angles we know the value of and subtract it from 180.

90+68= 158

180-158=22

We know b is 22 because the sum of all angles in a triangle is always 180.

Now that we have b we can find a.

we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.

Answer:

b is 22° and a is 158°

Step-by-step explanation:

b can be calculated by angle sum property and a can be calculated using exterior angle sun property

Answer:

x=-7/160

Step-by-step explanation:

______________________________

 - We combine the [tex](x)[/tex] variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms.

 - We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals.

 - We do this to get x alone. To do this you do the opposite of what you see. In this case we have [tex]4(x)[/tex] which is multiplying, so you divide by 4 on each side.

So your answer is [tex]\bold{x=9}[/tex].

______________________________

Step-by-step explanation:

a perpendicular slope is the negative reciprocal

so the perpendicular slope is -5/4

Answer:

m = -5/4

Step-by-step explanation:

Perpendicular slope is the negative opposite reciprocal of a slope.