Answer:
Step-by-step explanation:
Hello,
[tex]\forall x \in \mathbb{R} \\\\(f+g)(x)=f(x)+g(x)=x^2+1+5-x=x^2-x+4 \\\\(f-g)(x)=f(x)-g(x)=x^2+1-5+x=x^2+x-4[/tex]
Thanks
Answer:
c for the first one and a for the second one
Step-by-step explanation:
just did it on edg
can someone explain step by step how to do this please. I'm lost :(
(ab)^-6 (b^2 c)^-8 / a^-8 bc^-3
Answer:
a^2/b^23c^5Step-by-step explanation:
(ab)^-6 (b^2 c)^-8 / a^-8 b c^-3 =a^-6 b^-6 b^-16 c^-8 a^8 b^-1 c^3 =a^(-6 + 8) b^(-6 - 16 - 1) c^(-8 + 3) =a^2 b^-23 c^-5 =a^2/b^23 c^5you guys actually pls help me with this its hard for me
Lisa spends the same amount of time doing homework each day on Monday she spents of half of her time studying for a history test. on Tuesday, she spent 3/5 of her time studying for the same test in
the two days she spenta bal of 3 hours and 29 minutes studying for the test How much time does
she spend ting homework each day
Which is larger 10.5 or 10.50
Answer:
10.5 is really 10.50 the . 5 is half the whole one unit, like 50 cents is half a dollar
Find the value of x in the triangle shown below.
Answer:
x = 62
Step-by-step explanation:
its an isosceles triangle which means the the two angles on the bottom are equal or something like that. triangles aren't fun
Question 1 of 10
What is the slope of the line shown below?
10
(3,9)
O A.
5
B. 4
(1,1)
-5
10
15
O C. -
1
4
O D.-4
SUBMIT
The slope of the given line is 4.
What is slope?The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Given that, a line passing through points (3, 9) and (1, 1) we need to find the slope of the line,
Slope = y₂ - y₁ / x₂ - x₁
So,
Slope = 9-1 / 3-1 = 8/2 = 4
Hence, the slope of the given line is 4.
Learn more about slopes, click;
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Which quantity is proportional to 8⁄12?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
GCF of 8 and 12: 48 ÷ 4 = 212 ÷ 4 = 3Put them together: [tex]\frac{2}{3}[/tex]I hope this helps!
Answer:
2/3 , 24/36
Step-by-step explanation:
got it wrong and found out the answers
write the polynomial on descending order
[tex]2 {x}^{5 } + 14 - 3 {x}^{4 } \times 7x + 3x ^{3} [/tex]
Answer:
jkjjjjjjujhhhgvvvvvgvhjjhhhgvvg
Calculate the unit rate (price per box) $12 for 5 boxes
PLS ITS LATE WORK NO DUMB ANSWERS
Answer:
day 2
Step-by-step explanation:
day 1 had a 26.19-degree change while day 2 had a 33.47
Answer:
Day 2 is a bigger change.
Step-by-step explanation:
Day 1 change: 26.19
Day 2 change: 33.47
Add the positive version of each number together to find the change, like so:
Day 1: -12.75 to 12.75 and 13.44 to 13.44 12.75+13.44= 26.19
Day 2: -8.83 to 8.83 and 24.64 to 24.64 8.83 + 24.64=33.47
PS: Next time, please be a little nicer with your question.
Janelle spots some dolphins in the ocean. Her father draws a diagram to show how far down they can go. How far is this relative to sea level? What would an altimeter read at this depth? not college middle school sorry
Answer:
The relative is 1,000 below sea level. The altimeter should read -1,000.
Step-by-step explanation:
I really don't have a explanation, but I did that activity and this was the correct answer.
If m PQS=16, M SQR=(9x+17),and m PQR=(12x-6) find m PQR
Please answer with work
Answer:
[tex]\angle PQR=30^{\circ}[/tex]
Step-by-step explanation:
It is given that,
[tex]\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}[/tex]
We need to find the measure of [tex]\angle PQR[/tex].
From the given figure, [tex]\angle PQR=\angle PQS+\angle SQR[/tex]
Putting all the values, we get :
[tex]12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13[/tex]
[tex]\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}[/tex]
So, the measure of [tex]\angle PQR[/tex] is 30 degrees.
Question 1 of 20:
Select the best answer for the question.
1. Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39.
What is the average price of his books? Choose the statement that correctly
calculates the average.
A. $32 + $45 + $39 : 3
B. $32 : 3 + $45 : 3 + $39
O C.3 × $32 + $45 + $39
D. ($32 + $45 + $39) = 3
Mark for review (Will be highlighted on the review page)
Next Question >>
Answer:
I would have to say A) 32 + 45 + 39: 3
Step-by-step explanation:
This is because when finding the average of literally anything, you want to add up all the numbers, and then divide the sum of it by the numbers you added up.
for instance: 32 + 45 + 39 = 116. now, we need to divide by 3 because we added 3 numbers up.
116 divided by 3 = x
x is our average cost per books.
hope this helped, gl on your test!! :')
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
help plz
Answer:
480 milligrams.
Step-by-step explanation:
Divide 320 by 92, you get 3.47826087, multiply that by 138 to get your answer (480).
Sara poured 3/4 of the juice from a 2-liter bottle while serving guests at a party.
How much juice, in liters, is still left in the bottle?
A fencing company charges $22 per foot to install a wood fence.How much will it cost to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long?
9514 1404 393
Answer:
$2552
Step-by-step explanation:
The perimeter of the pool area is given by the formula ...
P = 2(L+W)
P = 2(38 +20) = 116 . . . feet
Then the cost of the fence installation is ...
(116 ft)($22/ft) = $2552
A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no more than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.
A) 50 + 6.25x 100; x>8
B) 50 + 6.25x 100; x 8
D) 50 + 6.25x 100; x<8
Answer:
D
Step-by-step explanation:
100>50 +6.25x, subtract 50 from both sides
50>6.25x, divide both sides by 6.25
8>x or x<8
Answer:
c
Step-by-step explanation:
need someone’s help with this please!!!
help lol due tonight
Answer:
Can't see your questions clearly
Step-by-step explanation:
A race car went 500 miles in 4 hours. What was the average rate of speed? Explain how you got your answer.
Answer:
125 miles per hour.
Step-by-step explanation:
I divided 500 by 4
A local road has a grade of 2%. The grade of a road is its slope expressed as a percent. Find the slope of the road as a fraction and then simplify.
Answer:
[tex]\frac{1}{50}[/tex]
Step-by-step explanation:
2% = [tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]
The slope of the road expressed as fraction is 2/100. When we simplify 2/100, the result obtained is 1/50
How to determine the slope in fractionFrom the question given above, we were told that the grade of the road is 2% which is equal to the slope. Thus, we can express 2% as fraction as illustrated below:
2% = 2/100
How to simplify 2/1002/100 can be simplified to it's lowest term as shown below:
2/100
Divide the numerator and denominator by 2
1/50
Thus,
2/100 = 1/50
Learn more about simplification of fractions:
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I cant find the answer.
Answer:
The numerator is 3, so the whole thing would say 3/11=12/44
Step-by-step explanation:
divide the second fraction down as much as possible, and you will get 3/11.
12 divided by 4 equals 3
44 divided by 4 equals 11
so 3 is the numerator and 11 is the denominator
Answer:
3
Step-by-step explanation:
lets make teh blank x
x/11 = 12/44
x/11 = 3/11
x = 3
or
x/11 = 12/44
4x/11 = 12/44
4x = 12
x = 3
I don't know how to solve this.Please help!
3^x=2
Fractions-3 3/7- 1 2/7=
Answer:
-4.714
Step-by-step explanation:
Answer:
1 (if the 3 3/7 is positive)
or
-4 5/7 (if the 3 3/7 negative)
What is the slope of the line going through (9,5) and (2,-6).
find percent increase
from 24 teachers to 30 teachers ___
Consider the numbers z = 3√2(cos(135°) + i sin(135o) and w = cos(180o) + i sin(180°).
Which expression is closest to the polar form of z + w?
Answer: A
5(cos(143o) + i sin(143o))
Step-by-step explanation:
The expression that is closest to the polar form of z + w is
[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]
What is complex number?"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is polar form of the complex number?"The polar form of the complex number z = x + iy is [tex]z=r(cos(\theta)+i~sin(\theta))[/tex] where [tex]r=\sqrt{x^{2} +y^{2} } , ~\theta=tan^{-1}(\frac{y}{x} )[/tex] "
For given question,
We have been given two complex numbers.
[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})[/tex] and [tex]w = cos(180^{\circ}) + i~sin(180^{\circ})[/tex]
We know that,
[tex]cos(135^{\circ})\\=cos(90^{\circ}+45^{\circ})\\=-sin(45^{\circ})\\=-\frac{1}{\sqrt{2} }[/tex]
And
[tex]sin(135^{\circ})\\=sin(90^{\circ}+45^{\circ})\\=cos(45^{\circ})\\=\frac{1}{\sqrt{2} }[/tex]
So, the first complex number would be,
[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})\\\\z = 3\sqrt{2} (-\frac{1}{\sqrt{2} } + i~\frac{1}{\sqrt{2} } )\\\\z=-3+3i[/tex]
We know that [tex]cos(180^{\circ})=-1,~~sin(180^{\circ})=0[/tex]
So the second complex number would be,
[tex]w = cos(180^{\circ}) + i~sin(180^{\circ})\\\\w = -1 + 0i[/tex]
So, the sum of complex numbers z and w would be,
[tex]z+w\\=(-3+3i)+(-1+0i)\\=-4+3i[/tex]
We write the complex number -4 + 3i in the polar form.
Comparing above number with x + iy, we have x = -4 and y = 3
[tex]\Rightarrow r=\sqrt{(-4)^2+3^2}\\ \Rightarrow r=5[/tex]
Also, the value of [tex]\theta[/tex] would be,
[tex]\theta=tan^{-1}(\frac{3}{-4} )\\\\\theta= -36.86^{\circ}\\\\\theta=180^{\circ}-36.86^{\circ}\\\\\theta=143.14^{\circ}[/tex]
So the complex number -4 + 3i in the polar form would be, [tex]5(cos(143.14^{\circ})+i~sin(143.14^{\circ}))[/tex]
Therefore, the expression that is closest to the polar form of z + w is
[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]
Learn more about polar form of complex number here:
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What is the distance between these set of points?
(1,-2), and (4,2)
sorry i cant add the photo of the graph but whoever the first one is to get it right will get brainliest
Answer:
go to khan academy on you tube he's really good at explaining stuff also sorry that's all i got...
Step-by-step e
Please answer correctly!
Graphing the equation y-3=1/3(x+4)
Thank you.
Answer:
X intercept (-13,0)
y intercept (0,13/3)
Step-by-step explanation:
slope intercept form
y=1/3x+13/3
PLS HELP, i am literally crying over this, Guaranteed brainliest if you get it right
If 14x + 6 / 3 = -8 + 4x, what is the value of -3x^2 - 7? TYSM
Answer:
2
Step-by-step explanation:
14x+6/3=-8+4x
Using order of operations, this is how I would solve it
14x+6/3=-8+4x
14x+2=-8+4x
add 8 on both sides while subtracting 4x
10x+10=0
10x=-10
x=-1
Now, square -3 which is positive 9. 9-7 is 2. Hope I didn't make any mistakes because I'm a 6th grader btw. Hope it helps.
