1,900 + 76x. Use the Distributive Property to factor the expression.

Answer:

1. y = -4

2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)

3. y = 24

4. c = -13.5

Step-by-step explanation:

30+7y=-2y-6

You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)

So, first, get the y's on the same side.

30+7y = -2y-6

Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.

30+(7y+2y)= -6

30+9y=-6

Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.

9y= (-6 - 30)

Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.

Keep the -6.

Switch the - to a +

And switch the positive thirty to a negative 30.

9y= -6 + (-30)

9y = -36

You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.

y= -36 ÷ 9

y= -4

__________________________

4(3y+4.1)=7.6

Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).

4(3y+4.1):

4 x 3y = 12y

4 x 4.1 = 16.4

12y+16.4 = 7.6

Subtract 16.4 from both sides

12y = -8.8

Divide both sides by 12 to get the y by itself

y= -0.73 (repeating)

__________________________

3(y+1) = 4y-21

This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.

3 x y = 3y

3 x 1 = 3

Rewrite the equation

3y+3 = 4y-21

Now this problem is similar to the very first problem

You need y by itself. So subtract 3y from both sides

3=(4y-3y)-21

3= 1y-21

Add 21 to both sides to get y by itself

24=1y

y=24

__________________________

3(2c+5) = 4(c-3)

This is just like the last two problems, you must use the distributive property.

3 x 2c = 6c

3 x 5 = 15

Rewrite equation.

6c+15 = 4(c-3)

Now you have to use the distrubtive property for 4(c-3)

4 x c = 4c

4 x (-3) = -12

Rewrite

6c + 15 = 4c - 12

Subtract both sides by 4c

(6c-4c) + 15 = -12

2c + 15 = -12

Subtract by 15 from both sides.

2c = -27

Divide both sides by 2, in order to get c by itself

c = -27 ÷ 2

c = -13.5

Answer:

D. -11/3b > 2/3

Step-by-step explanation:

We automatically can rule out B and C because it says is more than 2/3. The greater-than sign is >. B uses the less-than sign <, and C uses the greater-than or equal to sign ≥.

This leaves us with A. and D. The equation states One-third of a number b multiplied by -11. A. only has -11/b, but D. has -11/3 b. Because of this we can rule out A. so the answer is D.

I hope that this helps! :)

Answer: 1259 meters

Step-by-step explanation:

Highest elevation = 1232 meters

Lowest elevation = -27 meters

The difference in elevation between the highest and lowest points will be:

= 1232 - (-27)

= 1232 + 27

= 1259 meters

Note that (-) × (-) = +

Answer:

4

Step-by-step explanation:

By Using the Transformations of the parabola

[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]

[tex]y = x^2+ k[/tex]

[tex]y = (x - h)^2[/tex]

Reflection in x-axis  

[tex]y = -(x^2)[/tex]

Reflection in y-axis

[tex]y = (-x)^2[/tex]

stretches away from the x-axis or compresses toward the x-axis

[tex]y = a .x^2[/tex]

| a | > 1 is a stretch;

0 < | a | <1 is a compression

stretches away from the y-axis or compresses toward the y-axis

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

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have [tex]y=x^2[/tex]

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

[tex]y = -(x+5)^2+7[/tex]

5) Vertical stretch by a factor of 4, shift down 11 units

[tex]y=4 x^{2} +7[/tex]

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

[tex]y=-(x-2)^{2} +3[/tex]

Learn more:https://brainly.com/question/20369546

Answer:

x= 48 and y= 42

Step-by-step explanation:

x= 90-42

x= 48

y= 90-48

y= 42

Answer:

2

Step-by-step explanation:

Answer:

1/3^2

Im trying to earn my brainliest..so if you don't mind :)

Answer:

Step-by-step explanation:  V= Voltage

                                               I= Current

                                               R= Resistance

Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I

V= 500

I= ?

R= 250

I= V/R

I= 500/250

I= 2 amps

Answer:

I know it know!!!!

Step-by-step explanation:

Answer:

Naira 583200

Step-by-step explanation:

500000 × 1.08² = 583200

Answer:

Which two elements of drama divide the play and indicate shifts in location or scenery?

dialogue

act

character

monologue

scene

Step-by-step explanation:

Answer:

I assume that there are parentheses missing from the question and that it should be

Prove that  1 + sin 2A + cos 2A                                                                                                                                                                            ----------------------------------------------  = cot A

1+sin2A−cos 2A

Use sin 2 A= 2 sin A cos A and

cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1

Answer:

Step-by-step explanation:

Step one:

Simone paid $12 initial subscription

The rate renewable = $7 per year

let the number of years be x

and the total amount be y

the linear function/expression for the total amount is represented using the equation of line

i.e y=mx+c

where

     m= gradient = $7

     x= independent variable

     c= constant, $12

this is also given as

y=7x+12

Step two:

let's assume the plan is for 3 years, that is x=3

then

y=7(3)+12

y=21+12

y=33

$33

For any number of years, just put x=the number of years and solve

9514 1404 393

Answer:

  B.  0 ≤ x ≤ 5

Step-by-step explanation:

The domain refers to the useful values of x. Since we're only concerned with time in the interval of 0 to 5 hours, the suitable domain is ...

 0 ≤ x ≤ 5

Answer: 2001 people attended the football game this week.

Step-by-step explanation:

Given: Total people came to the ball game = 2300

Decrease percent = 13%

Number of people attended the football game this week =  p-0.13p, where p= number of people attended football last week.

for p= 2300

Number of people attended the football game this week =  2300- 0.13 x (2300)

=2300-  299

= 2001

hence, 2001 people attended the football game this week.

Answer:

The unit rate is $3

Step-by-step explanation:

The given table can be written as follows:

No. of Bouquets    3   6    9    12

Price                       9   18   27   36

In order to find the unit price, the price will be divided by the units.

So,

[tex]Unit\ price = \frac{Total\ price}{Number\ of\ bouquets}[/tex]

Taking a single pair from the table (Any pair of number of bouquets and price of those number of bouquets can be taken for this purpose)

[tex]Unit\ price = \frac{9}{3}[/tex]

= 3

Hence,

The unit rate is $3

Answer:

$3 per bouquet

Step-by-step explanation:

Answer:

Step-by-step explanation:

First substitue the coordinates to the equation so

x=9, y=2

you would get

2=-3/7(9) + b

we put b because we are trying to find the new slope

multiply the two numbers above

2=-3/6/7 + b

subtract the whole number from both sides

b= 5/6/7

in equation would be

y= -3/7 + 5/6/7

Let me know if there is an error.

Answer:

not for sure sorry

Step-by-step explanation:

sorry

Answer:

this is Newton's first law

Step-by-step explanation:

the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it

Answer:

glad the brainly people cold cach u up on work hope u come back

Answer:

i suck at math lol

Step-by-step explanation:

Answer:

€5000

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

they should have the same slope so just looking at that you cancel out d. But since it says has a y-intercept of 1 then it would cancel out the other 2. d is perpendicular to it not parallel

Answer:

b. [tex]y=5x+1[/tex]

Step-by-step explanation:

Slope-intercept form:

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

When two lines are parallel, their slopes are the same. Note the slope of the given equation:

[tex]y=5x+7\\\\m=5[/tex]

The slope is 5, so the slope for the parallel equation will also be 5:

[tex]y=5x+b[/tex]

Now insert the given y-intercept:

[tex]b=1\\\\y=5x+1[/tex]

:Done

Answer: 3/2

Step-by-step explanation:

To find slope you use the formula: m= y2-y1/x2-x1

So plugging stuff in it’s (7-4)/(3-1)

This comes out to be 3/2

Which means when graphing you go up 3 and right 2

Answer:

s = 18

Step-by-step explanation: