Which function should be used when evaluating the function at x = -1?
S -x2 + 8x if x < -1
p(x) =
*x? - 4 if x 2-1
O p (x) = {x? - 4
O p(x) = -x2 + 8x

7x-10=6x-5

We simplify the equation to the form, which is simple to understand

7x-10=6x-5

We move all terms containing x to the left and all other terms to the right.

+7x-6x=-5+10

We simplify left and right side of the equation.

+1x=+5

We divide both sides of the equation by 1 to get x.

x=5

[tex]======================================[/tex]

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

So the slope of the given line is -2

Flop it over:

-1/2

Change its sign:

1/2

Now, let's write the equation in point-slope form:

y-y1=m(x-x1)

y-(-5)=1/2(x-(-4)

y+5=1/2(x+4)

y+5=1/2x+2

y=1/2x+2-5

[tex]\bold{y=\displaystyle\frac{1}{2} x-3}}[/tex]

[tex]==========================================[/tex]

~DnomaiD

;)

Answer:

If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.

Step-by-step explanation: Hope this helps u!

Step-by-step explanation:

The solutions are

S

=

{

30

º

,

150

º

,

270

º

}

Explanation:

The equation is

2

sin

2

θ

+

sin

θ

−

1

=

0

We can factorise the LHS

(

2

sin

θ

−

1

)

(

sin

θ

+

1

)

=

0

Therefore,

sin

θ

=

−

1

,

⇒

,

θ

=

270

º

sin

θ

=

1

2

,

⇒

,

θ

=

30

º

,

150

º

[tex]\\ \sf\Rrightarrow y=-4(x+2)^2-1[/tex]

Compare to the vertex form of parabola

So vertex should be at (h,k)=(-2,-1)

Graph attached

Answer:

its 23

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Multiply U and V:

[tex]\begin{pmatrix}-9&1&0\\ \:4&0&2\\ \:0&1&5\end{pmatrix}\begin{pmatrix}2\\ \:-2\\ \:1\end{pmatrix}[/tex]

[tex]\mathrm{Multiply \ the \ rows \ of \ the \ first \ matrix \ by \ the \ columns \ of \ the \ second \ matrix:}[/tex]

[tex]\begin{aligned}&\left(\begin{array}{ccc}-9 & 1 & 0\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=(-9) \cdot 2+1 \cdot(-2)+0 \cdot 1 \\&\left(\begin{array}{ccc}4 & 0 & 2\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=4 \cdot 2+0 \cdot(-2)+2 \cdot 1 \\&\left(\begin{array}{lll}0 & 1 & 5\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=0 \cdot 2+1 \cdot(-2)+5 \cdot 1\end{aligned}[/tex]

[tex]=\begin{pmatrix}\left(-9\right)\cdot \:2+1\cdot \left(-2\right)+0\cdot \:1\\ 4\cdot \:2+0\cdot \left(-2\right)+2\cdot \:1\\ 0\cdot \:2+1\cdot \left(-2\right)+5\cdot \:1\end{pmatrix}[/tex]

[tex]\mathrm{Simplify\:each\:part:}[/tex]

[tex]=\begin{pmatrix}-20\\ 10\\ 3\end{pmatrix}[/tex]

Therefore, the correct answer is B

Answer:

143

Step-by-step explanation:

I'm not sure if this is correct but this is what I came up with:

all angles combined must add to 360

125+55+37= 217

360-217=143

Answer:

he left 15 % of his bill as a tip

Step-by-step explanation:

7.5/50 x 100

0.15 x 100

15

Percentage

Answer:

x = 3

Step-by-step explanation:

x - 5 = 2x - 8

First subtract x from both sides: -5 = x - 8

Finally, add 8 to both sides: 3 = x

Hope this helps!

Answer:

2n+1

Step-by-step explanation:

i dont know  but i tried to do it in paper and got this

We need zeros

[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]

[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]

[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]

[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]

Answer:

B) B

Step-by-step explanation:

   2 times 4 is 8, so in this case the option is option b as none of the other options show this.

    In total,

2 * 4 = 8

60 * 4 = 240

240 + 8 = 248

Answer:

angle 1 and 3 are 127.3 degrees and angle 2 is 52.7 degrees

Step-by-step explanation:

so angle 2 is also 52.7 degrees because angle 2 and 4 are  vertical oppostite angles  

so we can look at it now that we have to find angle 1. since we know a line is 180 degrees we make angle 1 plus angle 2 equal to 180

let angle 1 be x

x + 52.7 = 180

x = 180 - 52.7

x = 127.3

Answer:

m∠1 = 127.3°

m∠2 = 52.7°

m∠3 = 127.3°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

If m∠4 = 52.7° then m∠2 = 52.7°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 52.7° = 180°

⇒ m∠3 = 180° - 52.7°

⇒ m∠3 = 127.3°

As m∠1 = m∠3  then  m∠1 = 127.3° also.

Answer:

[tex]100\pi[/tex]

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

[tex]\pi {r}^{2} [/tex]

[tex]\pi( {10}^{2} ) = 100\pi[/tex]

So the area of a circle is 100 pi.

Answer:

  314.2 square units

Step-by-step explanation:

The diagonals of a rectangle are the same length, so segment OC is the same length as segment DB: 10 units. OC is a radius of the circle, which means the circle's radius is 10 units.

The area of a circle is given by ...

  A = πr²

  A = π(10 units)² = 100π units²

  A ≈ 314.2 units²

The area of circle O is about 314.2 square units.

Answer:

answer 5/8 because 2/8 + 3/8= 5/8

A market system with perfect competition is one in which there are several buyers and sellers interacting with the same goods.

A perfectly competitive market structure is widely found a market in the Indian economy. This market often accepts prices as a single seller cannot change the market price in the economy. Together with other characteristics, this trait sets this market apart from other types of markets.

Let's discuss the characteristics of the perfectly competitive market in detail which are as follows:

1. Large number of buyers and sellers- A commodity has a high number of buyers and sellers when there is ideal competition. Because there are so many customers, each one only purchases a very little portion of the available supply.

2. Homogeneous Products- Products in this market are homogenous in nature which means the products are identical in nature. This suggests that each company's output, in terms of quantity, quality, colour, size, features, etc., is a perfect substitute for the work of the others. This suggests that consumers don't care about what different companies produce.

3. Free entry and exit of firms- In the economy, there are 2 periods: long run and short run. In the long run, there is completely free entry and exit of firms while in the short run, some factors may contribute to the obstruction of entry and exit of firms. This guarantees that all businesses will ultimately make a regular profit or no economic profit, which evaluates the opportunity cost of the business to either continue operating or close.

4. Perfect Knowledge- In this market structure both the sellers and buyers have perfect knowledge of the market factors like price prevailing in the market because of this feature no seller can charge a higher price in the market to any customer.

5. No transportation cost- The products sold in this market structure are generally sold locally so there incur no transportation cost. Also because the same price is prevailing in the market sellers not require to transport anything.

6. No promotion cost- Homogeneous product is sold and uniform prices prevail so the sellers do not need to incur any selling cost like advterisemt for such a product. So the promotional cost incurred by firms is zero.

7. Price Taker- Firms are generally price takers in this structure of the market as sellers cannot influence the price of the goods so they need to accept the price that is prevailing in the market.

8. Perfect mobility of factors of production- Factors of production like Land, Labour and Capital are perfectly mobile in this market structure. These factors can freely move in and out of industry making demand and supply equal to each other.

To know more about Perfect Competition visit:

https://brainly.com/question/29407851

Answer 1 1/4

Step-by-step explanation:

You can get this by finding 3/4 on the line plot and counting the x's. Then you must add the 3 x's which means 3 of 3/4 and sum is your answer. Be sure to change improper to proper fraction. 9/4 to 1 1/4.

Answer:

69

Step-by-step explanation:

To do this, you want to first find how many pages he has read

So, to get that you want to multiply 230 by 70% or 0.7 (70% = 0.7 because to get the percent, you multiply the number by 100)

230 * 0.7 = 161

BUT, since you want to find how many pages he has left, you subtract the amount of pages he has read by how many pagest here are in total like so:

230 - 161 = 69 pages left

If you have any questions feel free to ask in the comments, and if this helped it would be appreciated if you left a brainliest :)

Answer:

54

Step-by-step explanation:

27 is half of what number?

27 x 2 = 54

:)

Answer:

135

Step-by-step explanation:

27 x 0.5 = 135

Hope it helps!!!!!

Answer:

m = 0

m = 7

m = -4

Step-by-step explanation:

[tex]\sf 9m^3-27m^2-252m=0[/tex]

Divide by 9:

[tex]\sf \implies m^3-3m^2-28m=0[/tex]

Factor out common term m:

[tex]\sf \implies m(m^2-3m-28)=0[/tex]

Factor expression in parentheses:

[tex]\sf \implies m(m-7)(m+4)=0[/tex]

Therefore,

[tex]\sf \implies m=0[/tex]

[tex]\sf \implies m-7=0 \implies m=7[/tex]

[tex]\sf \implies m+4=0 \implies m=-4[/tex]

Answer:

2 patients had more than 5 cavities.

step-by-step explanation:

Here cavities > 5

so only 2 patients had more than 5 cavities also as had total 7 cavities.

Answer:

2 patients had more than 5 cavities

Step-by-step explanation:

Each dot represents a different patient.

"More than 5" means numbers greater than 5 (so from 6 onwards).

From inspection of the dot plot, there are 2 dots above all the numbers that are greater than 5.

Therefore, there are 2 patients who had more than 5 cavities.

**see annotated dot plot**

The area shaded with a pink rectangle is "more than 5 cavities"

Answer:

$4

Step-by-step explanation:

For this, you want to find the greatest common factor

This basically means what number can be divided out of all of these.

So, you can find the factors for all of them and find which one appears in all three numbers and which is the greatest number

for 12:

1, 2, 3, 4, 6, 12

For 20:

1, 2, 4, 5, 10, 20

For 56:

1, 2, 4, 7, 8, 14, 28, 56

The numbers that appear in all of there are:

1, 2, and 4

And since we want to find the greatest amount she can charge for bracelet, the answer is:

$4

Jose's rectangle must have equal and parallel opposite sides

The coordinates of the other points could be C(7,5) and D(7,1)

The coordinates are given as;

A = (2,5).

B = (2,1).

To form a rectangle, each of the remaining points must have the same y-coordinates as points A and B.

So, we have:

C = (x,5)

D = (x,1)

Also, the remaining points must have the same x-coordinates.

i.e.

Cx = Dx

From the list of options, we have:

C(7,5) and D(7,1)

Hence, the coordinates of the other points could be C(7,5) and D(7,1)

Read more about rectangles at:

https://brainly.com/question/12500692

Answer:

Step-by-step explanation:

1 day, she travels 11/12 of a mile.

5 days, she travels 5 * 11/12 miles

5*11/12 = 55/12 = 4 7/12  miles.

Answer:

C. To square a number, multiply the number by itself.

Answer:

[C] To square a number, multiply the number by itself.

Step-by-step explanation:

To square a number you multiply it by itself.

Let's go through all answer:

[A] A perfect square is a number whose square root is, an even number.

Explain for [A]:

It incorrect because perfect squares can be odd or even

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[B] The inverse of squaring a number is to divide the number by 2.

Explain for [B]:

It incorrect because square roots are made by multiplying the number to itself.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[D] All of the above

Explain for [D]

Know that [A] and [B] is wrong you can know that [D] is 100% wrong.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Lenvy~