easy 10 points and brainliest :)

[tex]\bold{\text{Answer:}\quad f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]

Step-by-step explanation:

Find the equation of each line in Slope-Intercept form: y = mx + b

Line 1 passes through (-5, 3) and (0, -2)   -->   m = -1,  b = -2

                                                                   -->  y = -x - 2

Line 2 passes through (0, 0) and (4, -2)   -->   m = -1/2,  b = 0

                                                                   -->   y = -(1/2)x + 0

Now that you have the equations, evaluate which x-values are included.

Line 1: open dot at x = 0 and line goes to the left        -->  x < 0

Line 2: closed dot at x = 0 and line goes to the right   --> x ≥ 0

Now you have all the information you need to write the piecewise function:

                                [tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]

The piece wise function can be written as

[tex]f(x) = -x-2 \; for\; x < 0[/tex]

[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]

The Equation of line passing through  [tex](x_1,y_1)\; and \; (x_2,y_2)[/tex] can be given  by equation (1)

[tex]y -y_1 = \dfrac{y_2 -y_1 }{x_2 - x_1} (x-x_1) ........(1)[/tex]

The equation of line passing through (0,-2) and (-5,3) =

[tex]y-(-2) = \dfrac{3-(-2)}{-5-0}\times (x-0)[/tex]

[tex]y +2 = -x\\y = -x -2 ......(2)[/tex]

Similarly the line passing through (0,0) and (4,-2) =

[tex]y- 0 = \dfrac{-2 -0}{4-0} (x-0)\\y = \frac{-1}{2} x......(3)\\2y =-x \\x +2y =0[/tex]

The first line has an open circle at (0,  -2) and continues up through (-5, 3) with an arrow instead of an endpoint.

The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint. [tex]f(x) = \dfrac{-1}{2}x \; for\; x < 0[/tex]

Hence the piece wise function can be defined by equations (2) and (3)

[tex]f(x) = -x-2 \; for\; x < 0[/tex]

[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]

For more Information please refer to the link below

https://brainly.com/question/15435056

Answer:

-3

Step-by-step explanation:

-15 - (-12) = -15 + 12 = -3

[tex]A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}[/tex]

Answer:

[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]

Step-by-step explanation:

The adjacent side lengths and an angle is given.

We need to find the height of the parallelogram.

A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.

We can use trigonometric functions to solve for the height.

sin θ = opp/hyp

sin 63 = h/5

Multiplying both sides by 5.

h = 5 sin 63

h ≈ 4.45503262

Area of parallelogram = base × height

A = 8 × 4.45503262

A = 35.640261

Answer:

[tex]a \: 36.5[/tex]

Step-by-step explanation:

cos51° = AC/58

AC = cos51° x 58

AC = 36.5

Answer:

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find AC.

To find AC we use cosine

cos∅ = adjacent / hypotenuse

From the question

AC is the adjacent

AB is the hypotenuse

So we have

[tex] \cos(51) = \frac{AC}{AB} [/tex]

[tex]AC = 58 \cos(51) [/tex]

Hope this helps you

Answer:

→BA

→CD

Step-by-step explanation:

We have points

← A B C D →

We have    →BA

which is a ray going to the left

and

→CD

which is a ray going to the right

Answer:

$3.58

Step-by-step explanation:

Since the cost is increasing, you need to add the two values together.

$3.49 + $0.09 = $3.58

The price of gasoline after the increase is $3.58.

Step-by-step explanation:

let the point A( - 1 , -3 ) and B( 5 , -2 )

here, x1 = -1; x2 = 5

y1 = -3; y2 = - 2

Now, the distance between A and B

[tex]AB = \sqrt{(x _{1} - {x}_{2} ) {}^{2} + (y _{1} - y _{2}) {}^{2} } [/tex]

[tex]AB = \sqrt{( - 1 - 5) {}^{2} + ( - 3 ( - 2) {}^{2} }[/tex]

[tex]AB = \sqrt{36 + 1} = \sqrt{37} [/tex]

Thus, The Distance between AB is

[tex] \sqrt{37} [/tex]

Answer:

B

Step-by-step explanation:

Hi!

3(5x+4)−20=13x−4                            

15x+12-20=13x-4                                         Distribute the 3 to the 5x and 4

15x-8=13x-4

2x-8=-4                                                        Subtract 13x from both sides

2x=4                                                             Add 8 to both sides

x=2                                                               Divide both sides by 2

So 2 is the answer :)

Answer:

[tex]\huge \boxed{{2x(3x-1)}}[/tex]

Step-by-step explanation:

[tex](6x^2)-(2x)[/tex]

Apply rule : [tex]-(a)=-a[/tex]

[tex]6x^2-2x[/tex]

The expression cannot be simplified further.

Factor out 2x from the expression.

[tex]2x(3x-1)[/tex]

Answer:

[tex](6x {}^{2}) - (2x)[/tex]

[tex]6x {}^{2} { - 2x}[/tex]

Solution

[tex]6x {}^{2} - 2x [/tex]

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

Step-by-step explanation:

-5x - 5y + 4x - (2y + 3)

= - 5x + 4x - 5y - (2y + 3)

= - x - 5y - 2y - 3

= - x - 7y - 3 ( Answer )

Answer:

-x-7y-3

Step-by-step explanation:

distribute parentheses:

-(2y)-(3)= -2y-3

= -5x-5y+4x-2y-3

simplify

group like terms= -5x+4x-5y-2y-3

add similar elements= -x-5y-2y-3

add similar elements= -x-7y-3

Therefore, simplest expression is -x-7y-3

I hope this helps!!!

Answer:

64

Step-by-step explanation:

56/7 = 8

8*8 = 64

64 tests

Answer:

Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.

Step-by-step explanation:

Got 100% on the test.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4x - 2)° + [180° - (7x - 3)°] + 41° = 180°

(4x)° - 2° + 180° - (7x)° + 3° + 41° = 180°

          +2°-180°-3°-41°                           +2°-180°-3°-41°

- (3x)° = - 42°    

  ÷(-3)       ÷(-3)

   x° = 14°

   x = 14

Answer:

yes

Step-by-step explanation:

irrational numbers are the numbers which cannot be written as simple fractions

Answer:

5/18

Step-by-step explanation:

Positive two-digit numbers are:

Total two-digit numbers:

Number of two-digit numbers ≥ 75:

Probability that the number is at least 75:

Answer is 5/18

Answer:

95

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

x in (-oo:+oo)

x/8 = 0.625 // - 0.625

x/8-0.625 = 0

1/8*x-0.625 = 0 // + 0.625

1/8*x = 0.625 // : 1/8

x = 0.625/1/8

x = 5

x = 5

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

x = 5

Step-by-step explanation:

First convert the decimal to an improper fraction

That's

So we have

Multiply through by 8

That's

We have the final answer as

Hope this helps you

Answer:

  D)  3.57%

Step-by-step explanation:

The percentage change is given by ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%

__

When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.

Answer: a=6

Step-by-step explanation:

a-(7-a)=5

a-7+a=5

2a-7=5

2a=12

a=6 :)

Answer:

[tex]\Huge \boxed{a=6}[/tex]

Step-by-step explanation:

[tex]a-(7-a)=5[/tex]

We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.

Distribute the negative sign.

[tex]a-7+a=5[/tex]

Combine like terms.

[tex]2a-7=5[/tex]

Add 7 to both sides of the equation.

[tex]2a=12[/tex]

Divide both sides of the equation by 2.

[tex]a=6[/tex]

Step-by-step explanation:

a) Distance between Aranville t o Bowtown = 24 miless

b) Bowtown and Dovebury are furthest apart.

c) Toatl distance = 20 + 37 = 57 miles

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

Answer:

Step-by-step explanation:

A ship is 5 miles east and 2 miles north away

from port and then it is 3 miles east and 8

miles south away from port. Write the linear

model algebraically.

I need help ASAP please

Answer: 729

Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.

Answer:

$457.54 total

Step-by-step explanation:

Just add the numbers altogether:

274.96

 77.00

 89.20

 16.38

$457.54 total

The required total monthly cost of owning and maintaining a car, given the information shown, is $457.54.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To find the total monthly cost of owning and maintaining a car, we need to add up the monthly car payment, the monthly insurance cost, the average cost of gasoline per month, and the average maintenance cost per month.

Adding these values, we get:

Total monthly cost = Monthly car payment + Monthly insurance cost + Average cost of gasoline per month + Average maintenance cost per month

= $274.96 + $77.00 + $89.20 + $16.38

= $457.54

Therefore, the total monthly cost of owning and maintaining a car, given the information shown, is $457.54.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

Answer:

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Step-by-step explanation:

Given:

Diameter = 6 in

Radius (r) = 6 / 2 = 3 in

Height (h) = 3 in

Find:

Amount of dirt needed to fill the cone

Computation:

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)(3)(3)(3)

Volume of cone = 28.28 in³

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Answer: 12464 feet

Step-by-step explanation:

Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.

We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.

The deepest point is 11,542 feet above sea level.

That means, the elevation of the surface of the lake is the sum of 922 feet and  11,542 feet which is given by (922+ 11,542) feet =12464 feet

Hence, the elevation of the surface of the lake = 12464 feet