Laci wrote an integer. The opposite of Laci’s integer is -35. (6.2B)
a) What is the value of Laci’s integer?
b) What is the absolute value of Laci’s integer?

Answer:

we should prove this or solve only

Step-by-step explanation:

hope it is helpful to you

Answer:

Exponential

Step-by-step explanation:

The rate of change is exponential.

The graph of the absolute value function can be seen at the end of the answer.

For an absolute value function:

y = |x - a| + b

We need to start by graphing the vertex, which is the point (a, b).

Then, depending on the slope, we graph the arms.

In our case:

y = |x - 4| + 2

The slope is 1, so both the arms will open upwards with a 45° angle, and we can see that the vertex is (4, 2).

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Answer:

(x + 2) (8x + 3)

Step-by-step explanation:

[tex]8x^{2}[/tex] + [tex]19x + 6[/tex]

= (x + 2) (8x + 3)

L = 3/a = 3/8

R = 16/a = 16/8 = 2

\ac/

L V R

/ \

/ b \

where letters have their usual meaning. Comparing 8x² + 19x + 6 to ax² + bx + c,

ac = 8*6 = 48

b = 19

Factors of ac or 48 :-

1 * 48

2 * 24

3 * 16

As the sum of 3 and 16 is 19(or b), our required pair is 3 and 16.

On the left side:

L = 3/a = 3/8

On the right side:

R = 16/a = 16/8 = 2

Therefore, factorized form is (x + 3/8)(x + 2) which can be written as (8x + 3)(x + 2).

How this method works:

Make a X with ac and b on the top and bottom of the X, where ac and b are taken from ax² + bx + c.

On the left side we have d/a and e/a. Basically d and e are those values that we get after solving the whole question.

Step1: find the pair(s) for which sum of factors of ac = b. Here it is 3 and 16.

Step2: put these values in place of d and e.

Step3: solve left anf right of X,

Left = d/a = 3/8

Right = e/a = 16/8 = 2

Step4: whatever you get, put that in (x+?)(x+?) in place of ?.

The number of different outfits is 1280

From the question, we have the following parameters that can be used in our computation:

8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes

The number of different outfits is equal to the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 4 x 8 x 8 x 5

Evaluate;

Different outfits = 1280

Hence, there are 1280 different outfits

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Answer:

Number one is 1624cm²

Number two is 32in²

For these problem you area calculating the surface area of the given objects. To calculate surface area you find the area of each side of the object and adding them together. length multiplied by width is the equation for area.

Answer:

[tex]x {3}^ + 3x {2}^ - 10x - 24 [/tex]

hope it helps!!!!!!!!!!

Answer:

1) 115

2) 83

3) 45

4) 137

Step-by-step explanation:

im sure you noticed i just rewrote what numbers were already there, but that's because all angles that are directly across from each other have the same measurement. hope this helps

Answer:

84

Step-by-step explanation:

From the table Given, the number of families who listen to pop music on radio could be obtained by taking n(pop n radio) ; that is the intersection of pop and radio on the table, this value is 84.

Therefore, the number of families who listen to pop music on radio is 84

Answer:

If x+8 is a factor, divide by -8.

-8      1   18   80

             -8  -80

_______________

       1     10      0

It is a factor because there is no remainder.

Step-by-step explanation:

Answer:

Reciprocal simply means... swap the denominator for the Numerator...

Now negative Reciprocal now means... Swap the denominator by the numerator and Multiply by -1

So

1/-8 becomes

-(-8/1)

=8.

Option D

Answer:

I belive drake had a better score and variblity.

Step-by-step explanation:

Answer:

First we solve the radius and then we use the formula for finding the equation of circle.

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer:

x = 2

Step-by-step explanation:

lines parallel to the y-axis are always vertical and begin with 'x ='

Answer:

x=2

Step-by-step explanation:

Hi there!

A line parallel to the y-axis would make it a vertical line. Vertical lines have the equation x=d, where d is the x-intercept (the value of x when y=0).

We also need to know that every point a vertical line passes through has the same x-coordinate. Therefore, because this line passes through the point (2,1), we know that the x-intercept is (2,0).

Therefore, the equation of the line would be x=2.

I hope this helps!

Answer:

Take the coordinates of each vertex (corner point) and subtract 2 from the x-coordinate; leave the y-coordinate alone.

Step-by-step explanation:

Example: If one vertex is the point (5, 3), then it moves left 2 units to (3, 3).

If a vertex is at (-3, 1), then it moves 2 units left to (-5, 1).

Answer: 25° and 65°

Step-by-step explanation:

Let the smaller angle of the complementary angle be represented by x.

Since the other angle is 15 degree more than two times the other angle, this will be:

= (2 × x) + 15°

= 2x + 15°.

Then we add both angles together and equate them to 90° and this will be:

x + 2x + 15° = 90°

3x + 15° = 90°

3x = 90° - 15°

3x = 75°

x = 75°/3

x = 25°

Then the other angle will be:

= 2x + 15°

= (2 × 25°) + 15°

= 50° + 15°

= 65°

Therefore, the angles are 25° and 65°.

Answer:

9p^3 + 72p^2 - 49p - 392

Step-by-step explanation:

(3p + 7) times (3p - 7) times (p + 8)

(9p^2 - 49) times (p +8)

9p^3 + 72p^2 - 49p - 392

I hope this helps a ton!!

Answer:

Here we want to solve the equation:

"2, minus, 10, plus, 8, minus, left parenthesis, minus, 2, right parenthesis."

This can be written as:

2 - 10 + 8 - (-2)

Remember that we can solve this in any order we want, so let's go from left to right:

So we can solve first:

( 2 - 10) + 8 - (-2)

We know that:

2 - 10 = -8

Then we can replace that in the expression to get:

( 2 - 10) + 8 - (-2)  = -8 + 8 -(-2)

Now we can solve:

(-8 + 8) - (-2)

We know that:

-8 + 8 = 0        

Replacing that in the equation we get:

(-8 + 8) - (-2)    = 0 - (-2) = -(-2)

And now we can remember the rule of the signs:

(+)*(+) = (+)

(-)*(-) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

Then:

-(-2) = (-1)*(-2) = +(1)*(2) = 2

The solution of the expression is 2.

Answer:

The answer is 2

I checked it on Khan

Step-by-step explanation:

Answer:

< 1 = 88

< 2 = 92

Step-by-step explanation:

First add 4x - 4 + 4x = 180

X = 23

4(23) - 4 = 88

4(23) = 92

Answer:

45 miles in 1 hour

Step-by-step explanation:

135/3 = 45

45 miles in 1 hour

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]

Answer:

Perimeter = 55.4

Step-by-step explanation:

8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4

Hope this helps!

Answer:

200 gallongs

Step-by-step explanation:

Answer:

Kathleen, a professional golfer, had an average score last season

of 80 points. This season, her average score has been 72 points.

What is the percent of decrease in Kathleen's average score

Answer:

It's bc

Step-by-step explanation:

Answer:

This is false.

Step-by-step explanation:

Hope this helps!!

9514 1404 393

Answer:

  False

Step-by-step explanation:

A relation is a function if and only if there is exactly one output for each input. Any relation map with two or more arrows coming from any input is NOT a function.

Here, the input "2" has two outputs, 4 and 5, so this map does not show a functional relationship.

Answer:

A

Step-by-step explanation: