h ( x ) { − 2 + 3 , i f x < 1 1 /2 x + 1 if x ≥ 1 }

Answer:

17/6

Step-by-step explanation:

10

4

+

1

3

=

5

2

+

1

3

=

15

6

+

2

6

=

15+2

6

Answer:True

There is no way to have a negative because it's the number's distance from zero

Answer

The answer is B

Step-by-step explanation:

Answer:

Valerie can make 8 cakes

Step-by-step explanation:

6/0.75 = 8

Answer:

Valerie can make 8 cakes  

Step-by-step explanation:

6/0.75 = 8

Answer:

16

Step-by-step explanation:

each pound has 3.6 cups

1/4 of a pound can be multiplied

3.6 x 1/4 =  0.9

then we subtract 4 - 3.6 = 0.4 say if the question was for one pound

But we have to find  14.4 cups instead as;

3.6 x 4 = 14.4 = 4 pounds

We go back to 0.9 are first smaller serving = 1/4 cup

14.4/0.9 = 16

Using the concept of degree of a polynomial, it is found that a quadratic trinomial has a degree of 2.

The degree of a polynomial is given by the highest exponent of x.

The quadratic trinomial has the following format:

x² + bx + c.

The highest exponent is of 2, hence the quadratic trinomial has a degree of 2.

More can be learned about the degree of a polynomial at https://brainly.com/question/1600696

#SPJ2

Answer:

73.4°

Step-by-step explanation:

Given that :

Base of ladder from wall = 4 feets

Length of ladder = 14 feets

Angle formed with the ground :

Using Pythagoras :

Cosine θ = adjacent / hypotenus

Adjacent = 4 feets

Hypotenus = 14 feets

Cosθ = 4 / 14

Cosθ = 0.2857142

θ = cos^-1(0.2857142) = 73.398450

= 73.4°

Answer:

x = 0, y = -4

Step-by-step explanation:

Add these equations together:

[tex]2x + y = -4\\x - y = 4[/tex]

3x = 0

divide both sides by 3

x = 0

substitute this into the equation x - y = 4

0 - y = 4

y = -4

Answer:

230

Step-by-step explanation:

300 - 70 = 270 boom

Answer:

4 hours

Step-by-step explanation:

y= 40x +225

$385 money to spend - $225 that go for hard drive = $160

40* x can be maximum 160  so x= 160 /40= 4

9514 1404 393

Answer:

  x = 21

  y = 25

Step-by-step explanation:

The diagonals of a quadrilateral bisect each other, so each half of a diagonal is congruent to the other half.

  x -2 = 19

  x = 21 . . . . add 2

__

  y +1 = 26

  y = 25 . . . . subtract 1

Answer:

3 highlighters and 5 permanent markers were sold on Monday.

Step-by-step explanation:

Since the school store sells highlighters for $ 1.20 and permanent markers for $ 1.15, there is a difference between the two products of 5 cents, or $ 0.05.

Therefore, if 8 products were sold for a total of $ 9.35, and since 1.15 x 8 equals 9.20, there is a difference of 15 cents, attributable to the highlighters, since each highlighter costs 5 cents more than the permanent markers .

Therefore, since 15/5 is equal to 3, on Monday 3 highlighters and 5 permanent markers were sold, which is corroborated by the following calculation:

3 x 1.20 = 3.60

5 x 1.15 = 5.75

5.75 + 3.60 = 9.35

Answer:

Step-by-step explanation:

According to pythagorean theorem

a² = b² + x²

a is the hypotenuse

b and x are the opposite and adjacent

Let a = 10

b = 8

Substitute and get x:

10² = 8²+x²

x² = 10²-8²

x² = 100-64

x² = 36

x = √36

x = 6

Hence the value of x is 6

Answer:

Answer:

Option (b) is correct.

4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.

Step-by-step explanation:

Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.

We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.

Let x represents the small rugs and y represents the medium rugs.

Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.

And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.

So, time taken to dye x small rugs = 4x

also, time taken to dye y medium rugs = 6y

And they have maximum of 120 hours.

So this inequality is represented by 4x + 6y < 120

The answer is: 4x + 6y < 120

750 - 300 = 450

She needs to save $450 more.

$450 / $12 per hour = 37.5 hours

She needs to babysit 37.5 hours.

Answer:

x= √-1/4

Step-by-step explanation:

4x²+1=0

4x²= -1

x² = -1/4

x = √-1/4

Answer: A. 7 hours

Step-by-step explanation: divide

Answer:

[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]

Step-by-step explanation:

Given:

[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]

To find: value of [tex]x,y[/tex]

Solution:

[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]

From (ii),

[tex]x=1-y[/tex]

Put this value of [tex]x[/tex] in (i)

[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]

[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]

[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]

At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,

[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]

At [tex]y=3-2\sqrt{2}[/tex] ,

[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]

Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test  A p  E  x

hope this helps :)

Answer:

Jane is 11 7/40

Step-by-step explanation:

13 3/4- 1 3/8= 12 3/8

12 3/8- 1 1/5= 11 7/40

Therefore the answer is 11 7/40

Answer:

add by 2

Step-by-step explanation:

Answer:

35 hours

Step-by-step explanation:

First 435-120 to see how much you need to earn which is 315. Then divide that by 9 which is 35 repeating.

Answer:

Step-by-step explanation:

Amount needed = 435 - 120 = $ 315

Total hours to work = 315 ÷ 9

                                 = 35 hours.

I have to work for 35 hours

Answer:

step explanation: 16+ 16 = 32

Answer:

f(x) = 10x + 13

Function f(7) = 83

Step-by-step explanation:

y = 10x + 13

f(x) = 10x + 13

Function f(7) = 10(7) + 13

Function f(7) = 83