If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,
find f(x) – g(x).

Answer: x^2 - 4x + 3

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%.

Answer: x=16

Step-by-step explanation:

This problem can be solved by using proportions. We can see the figure as 2 triangles. One is ΔAED and another is ΔACB.

[tex]\frac{x}{8} =\frac{x+6}{11}[/tex]                          [cross multiply]

[tex]11x=8(x+6)[/tex]                [distribute]

[tex]11x=8x+48[/tex]                 [subtract both sides by 8x]

[tex]3x=48[/tex]                           [divide both sides by 3]

[tex]x=16[/tex]

We know that x=16.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

A. Add 7 to both sides of the equation.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\c - 7 = 13\\---------\\\rightarrow c - 7 + 7 = 13 + 7\\\\\rightarrow \boxed{c=20}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Hey there!

Since the given equation is subtracting, we're going to do the opposite of s traction which addition; whereas addition opposite is subtraction, division is multiplication, and multiplication is division. Now that we got that information out the way, we can finally answer your question

The very first step to solving c - 7 = 13 is ADDING 7 to BOTH SIDES because it is the opposite of subtracting

Answer you're looking for: Option A. Add 7 to both sides of the equation

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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 :)

Answer:

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

Step-by-step explanation:

Since, ∠ABE = 43 °

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

Answer: There were 6 guides on Sunday.

Step-by-step explanation:

I suppose that this is a question about equivalent ratios:

It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.

RATIO OF TOURISTS TO GUIDES:

SATURDAY: 120 : 18

SUNDAY: 40 : ?

Divide 120 by 40:

120/40 = 3

Divide 18 by 3:

18/3 = 6

Therefore:

SAT: 120 : 18

SUN: 40 : 6

Check it by multiplying both numbers in the ratio 40 : 6 by 3:

40 • 3 : 6 • 3

= 120 : 18

(You get the ratio from Saturday)

Hope this helps!

Answer:

answer= 0.6018

Step-by-step explanation:

0.6018150235 to the 4 decimal =0.6018

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:

45.056 = 45

45.56 = 46

Step-by-step explanation:

Given :

45.056 to nearest integer. If the number is 45.56

To round 45.056 to the nearest integer, we evaluate the value after the decimal point, if the value after the decimal point is greater Than or equal to 5, we round to 1 and add to the value immediately before the decimal point, if otherwose, we round to 0 ;

Therefore,

45.056 = 45 (nearest integer) ; 0 is less than 5

45.56 = 46 (nearest integer) ; round 5 to 1 and add to 5, to give 6

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:

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:

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:

[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:

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:

Letter D

Step-by-step explanation:

hope it helps

Answer:

Your answer is D

Step-by-step explanation:

So when fliping over the x-axis the x stays and the y changes.

So A is wrong because it was fliped over the y-axis

So is B since it did flip over the x-axis but then went over the y-acis.

So you are left with C and D

C and D did go over the x-axis but when you look at the figure it is different

C figure is the same and when you reflect somthing over any axis it will not always be the same.

Your answer is D, the figure is a reflection over the x-axis and the figure is fliped

Hoped this helped :D

Answer:

do it ur self

Step-by-step explanation:

and don't cheat

Answer:

1.8*10^3

Step-by-step explanation:

Exponential form should always be between 1 - 10. If you place the decimal point 3 places to the left, The power of 10 would be 3.

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.

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:

68 × y

Step-by-step explanation:

68y = 68 × y

Answer:

B

Step-by-step explanation:

This one takes a little trial and error but you can probably find the answer quickly.

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:

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:

YOUR ANSWER IS B

Step-by-step explanation: