Answer:
f(x) – g(x) = x^2 - 4x + 3
Step-by-step explanation:
f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,
f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)
Distribute the minus sign
f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2
Combine like terms
f(x) – g(x) = x^2 - 4x + 3
Give brainiest if right!!
Two planes travel in opposite directions from the same airport. The
first plane travels at a speed of 320 mph, and the second plane’s
speed is 1.5 times greater. What is the distance between the two
planes after 5 hours?
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]
Equivalent expression for .68y
Answer:
68 × y
Step-by-step explanation:
68y = 68 × y
Find AR
step by step pleaseeee
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...
PLEASE HELP!!!
WILL MARK BRAINIEST!!!
If angle ABE= 43, then angle DBC =_____
Thank you!
Answer:
If angle ABE = 48°,then angke DBC = 43° .
Step-by-step explanation:
Since, ∠ABE = 43 °
∠DBC = 43 ° .. ( Vertically opposite angles)
The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 tourists and 18 guides.On Sunday,there were 40 tourists.How many guides were there on Sunday?
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!
Graph the line of the equation 5x+2y=12 using its slope and y-intercept.
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 :)
regina walked 1/6 of a mile each day for 8 days. how many miles did she walk in all
HELP PLS
Solve for x , look at image above
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.
Find the area of this circle.
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
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. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience
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%.
use round up method to present the number 45.056 to nearest integer. If the number is 45.56, would the answer be the same ?
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
7. Find the area of Circle 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.
Which step can you use to solve the equation c-7 = 13 for c?
A. Add 7 to both sides of the equation.
B. Subtract 7 from both sides of the equation.
C. Multiply both sides of the equation by 7.
D. Divide both sides of the equation by 7.
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. Add 7 to both sides of the equation.
»»————- ★ ————-««
Here’s why:
To solve for a variable we need to use inverse operations to 'undo' a value. We would do this on both sides for the equation to remain balance.The opposite of subtraction is addition, so we would add 7 to both sides of the equation to solve for c.⸻⸻⸻⸻
[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:)
help I'll give brainliest
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
3x+78 x+50 solve for X
Someone help please
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]
Look at this expression, and complete the statements.
3x + 2(x + 2) + 4
In the first term, 3 is
In the second term, (x + 2) is
In the last term, 4 is
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.
(5/12 divided by 3/4 )
please finde this..
this is 7th class question
The Centers for disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to second-hand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of adults in the United States who were users of tobacco from 2001 through 2011:
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model suggest that OSH is on target to meet this goal?
Use your model to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal.
Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2
Please help me with this
Look at the image
Answer:
do it ur self
Step-by-step explanation:
and don't cheat
I don’t know the answer please help me out
Which of the following equations represents a line that passes through the points ( − 3 , − 3 ) and (−2,0)?
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.
Sin 37°, to 4 decimal places
Answer:
answer= 0.6018
Step-by-step explanation:
0.6018150235 to the 4 decimal =0.6018
The sum of triple a number and 5 is 40.
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
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
The answer to this question
Answer:
B
Step-by-step explanation:
This one takes a little trial and error but you can probably find the answer quickly.
Helpppp me with explanation also please:(((((
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
15. Set up a proportion and use it to solve for x. Show your work.
2
10
X
3
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
1) Express the following in exponential form:
b)1800
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.
help me please lol this is an important grade
Answer:
YOUR ANSWER IS B
Step-by-step explanation:
