Evaluate this piecewise function at x = -8 and x = 4.

Answer:

Step-by-step explanation:

First you need to put the equation in slope intercept form.

y = mx + b   (m = slope and b = y-intercept)

5x + 2y = 12   (subtract 5x)

2y = -5x + 12   (now you need to isolate y. Therefore, divide all by 2)

y = -5/2x + 6

Now you have your slope and y-intercept. Your y-intercept will be 6. So on the graph you need to begin at 6 on the y-axis (the line that goes up and down). Make your first point there. Your slope is the -5/2x. Slope is looked at as rise/run. This means from your point at 6, you will go down (down because it's negative. If it was a positive, you would go up, i.e rise) 5 units. Then you will go over to the right 2 units (to the right because it is positive. Only the top one will be negative.) Place your point once you have done that. Then draw a line between those two points.

(note that on my screenshot, the tiny squares do not equal 1 unit. The larger ones with the bunch of tiny squares inside equal 1 unit)

I hope this helped :)

Step-by-step explanation:

<5 is congruent to <3 ( parallel lines form alternate interior angles)

<4 is congruent to <2 ( parallel lines form alternate interior angles)

the sum of angles 1,4, and 5 equals 180 (angles on a line)

the sum of angles 1,2,3 equal 180 as well

Answer:

3/15= 1/5 That's the answer

Answer:

x=13

Step-by-step explanation:

3x+78 +x+50=180

3x+x+78+50=180

4x+128=180

4x=180-128

4x=52

4x/4=52/4

x=13

using the principal of straight line angle

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3x + 78 + x + 50 = 180^\circ}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\mathsf{(3x + x) + (78 + 50)}\\\mathsf{3x + x = 4x}\\\mathsf{78 + 50 = 128}\\\\\mathsf{4x + 128 = 180^\circ}\\\\\large\text{SUBTRACT 128 to BOTH SIDES}\\\\\mathsf{4x + 128 - 128 = 180 - 128}\\\\\large\text{CANCEL out: 128 - 128 because that gives you 0}\\\large\text{KEEP: 180 - 128 because that helps solve for the x-value}\\\mathsf{180-128=52}\\\\\mathsf{4x = 52}\\\\\large\text{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4} =\dfrac{52}{2}}\\\\\large\text{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\mathsf{\dfrac{52}{2}}\large\text{ because that gives you the value of x}\\\\\mathsf{\dfrac{52}{4}=52\div4=x}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 13}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

YOUR ANSWER IS B

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Create a proportional relationship to solve for x

3/2 = x/10

Cross multiply

2x = 30

Divide both sides by 2

x = 15

Answer:

Step-by-step explanation:

10/(10 + 2) = x/(x + 3)      Combine left denominator

10/12 = x/(x + 3)              Cross multiply  

10(x + 3) = 12*x                Remove the brackets on the left

10x + 30 = 12x                Subtract 10x from both sides

-10x           -10x

         30 = 2x                Divide by 2

2x/2 = 30/2

x = 15

Answer:

4000 miles

Step-by-step explanation:

320x1.5=480

(320x5)+(480x5)=4000

4000 miles

Answer:

[tex]4,000\text{ miles}[/tex]

Step-by-step explanation:

Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.

Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.

If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.

Using [tex]d=rt[/tex], the first plane must travel:

[tex]d=320\cdot 5=1600[/tex] miles

The second plane must travel:

[tex]d=480 \cdot 5=2400[/tex] miles

However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]

Answer:

GHC757.317

GHC181.756

Step-by-step explanation:

Given that :

Discount on sale = 18%

Sale price at 18% discount = 828

828 = 100% - 18%

828 = 82%

The cost at 100% can be represented as :

828 = 0.82

x = 1

Cross multiply :

828 = 0.82x

x = 828 / 0.82

x = 1009.7560

The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :

(100 - 25)% * 1009.7560

0.75 * 1009.7560

= GHC757.317

Discount allowed :

1009.7560 - 828

= GHC181.756

if RD is 12cm so AR is 12cm too... since the R is placed in the middle and we can analyze too that the AD is 24cm since RD is 12cm and AR is 12cm so...

12+12=24

AR= 12cm

Hope it helps...

Answer:

not sure man... goodluck tho

Answer:

Step-by-step explanation:

diameter=12 cm

radius r=12/2=6 cm

area A=πr²=3(6)²=108 cm²

Answer:

68 × y

Step-by-step explanation:

68y = 68 × y

Answer:

a. About 263.08 m²

Step-by-step explanation:

First find the radius (r):

Area of sector = central angle/360 ×πr²

Area of sector = 85.5 m²

Central angle = 117°

Plug in the values into the equation

85.5 = 117/360 × π*r²

85.5 = 1.02 × r²

85.5 - 1.02 = r²

84.48 = r²

r = √84.48

r = 9.19 m

✔️Find the area of the circle

Area of the circle = πr²

Where,

r = 9.19

Plug in the value

Area = π*9.2²

Area = 265.326663 (this is close to 263.08 cm²)

Area therefore is about 263.08 cm².

Answer:D.CENTROID

Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID

Answer:

[tex]3 \to[/tex] Coefficient of x

[tex](x+2)\to[/tex] Variable

[tex]4 \to[/tex] Constant

Step-by-step explanation:

Given

[tex]3x + 2(x +2) + 4[/tex]

Required

Complete the statements

In 3x, x is the variable; so:

[tex]3 \to[/tex] Coefficient of x

In 2(x + 2), 2 is the variable so:

[tex](x+2)\to[/tex] Variable

4 stands alone. So, it is a constant

[tex]4 \to[/tex] Constant

Answer: In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

The 3 in the first term is multiplied by a variable, x. So it is a coefficient.

The (x + 2) in the second term is multiplied by 2. So, it is a factor.

The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.

Answer:

x=7/3

Step-by-step explanation:

3x2y=5 equation 1

3x-2y=9 equation 2

6x=14 add above 2 equations which eliminates y

x=14/6

x=7/3

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Answer:

a) 24

b) 63

c) 2

d) -2

Step-by-step explanation:

you are supposed to try different numbers, but...

X-9 = 15 add 9 to both sides

X = 24

7x/9 = 49 multiply both sides by 9

7x = 441 divide by 7

x = 63

3(x + 6) = 24  divide both sides by 3

(x + 6) = 8   subtract 6 from both sides

X = 2

11x + 2 = -20 subtract 2 from both sides

11x = -22 divide both sides by 11

X = -2

Answer:

do it ur self

Step-by-step explanation:

and don't cheat

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

Answer:

speed=200 m/s

Step-by-step explanation:

Answer:

If angle ABE = 48°,then angke DBC = 43° .

Step-by-step explanation:

Since, ∠ABE = 43 °

∠DBC = 43 ° .. ( Vertically opposite angles)

y=3x+6

Use

y=mx+b

to calculate the equation of the line, where

m

represents the slope and

b

represents the y-intercept.

Slope is equal to the change in

y

over the change in

x

, or rise over run.

Answer:

151.25cm

Step-by-step explanation:

First split the the shape into two, a rectangle and a semicircle.

Let's begin with the rectangle. The formula for the area of a rectangle is

A = l × w

A = 16 × 7

A = 112

Now we move onto the semicircle. We know that the length of the long side of the rectangle is 16. Because of the markings, we know that the missing portion of the 6cm line is 16 as well. That means that we would do 16 - 6 to find that small missing length. It gives us 10cm which will act as the diameter for the semicircle.

The formula for the area of a semicircle is

A = [tex]\frac{\pi r^{2} }{2}[/tex]          (fill in what you know)

A = [tex]\frac{3.14 (5^{2} )}{2}[/tex]     (The radius is half the diameter. So 10 ÷ 2 = 5)

A = [tex]\frac{3.14(25)}{2}[/tex]     (Solve what's in the parentheses first)

A = [tex]\frac{78.5}{2}[/tex]          (multiply pi and 25)

A = 39.25

Now all we have to do is add the two areas to get the combined area of the whole.

A = 112 + 39.25

A = 151.25

Answer:

The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

Step-by-step explanation:

Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:

253 = 100

62 = X

62 x 100/253 = X

6,200 / 253 = X

24.50 = X

Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.