Step-by-step explanation:
4√2 + √2 = 5√2 we add 4 and the invisible 1 in front of √2, the common root stays same
8√3 - 4√3 = 4√3 subtract 4 from 8 the common root stays same
2√3 x √32 ➡ 2√3 x 4√3 too add the expressions we first need to make the roots common then add 4 and 2
Answer:
1. [tex]5\sqrt{2}[/tex]
2. [tex]4\sqrt{3}[/tex]
3. [tex]8\sqrt{6}[/tex]
Step-by-step explanation:
Number 1:
We can treat [tex]\sqrt{2}[/tex] as a variable in which we are multiplying 4 by. Let's call [tex]\sqrt{2}[/tex] x.
This makes our expression [tex]4x + x[/tex]. Combining like terms, we get [tex]5x[/tex]. This means that [tex]4\sqrt{2} + \sqrt{2} = 5\sqrt{2}[/tex].
Number 2:
Again, we can use the same logic as we did in number 1. Let's treat [tex]\sqrt{3}[/tex] as a variable y.
[tex]8y-4y[/tex]
Subtracting a y term from a y term will equal the difference between the coefficients times y. So it's [tex]4y[/tex]. This means that [tex]8\sqrt{3}-4\sqrt{3}=4\sqrt{3}[/tex]
Number 3:
When we multiply radicals, we want to put the radicals in [tex]\sqrt{x}[/tex] form.
[tex]\sqrt{32}[/tex] is already in this form.
However [tex]2\sqrt{3}[/tex] is not.
[tex]2\sqrt{3}[/tex] is the same thing as [tex]\sqrt{3\cdot2^2} = \sqrt{3\cdot4} = \sqrt{12}[/tex].
Now we multiply these radicals by multiply the term inside the square root sign
[tex]\sqrt{32}\cdot\sqrt{12}=\sqrt{32\cdot12} =\sqrt{384}[/tex]
384 is divisible by 64, so:
[tex]\sqrt{384} = \sqrt{64\cdot6} = 8\sqrt{6}[/tex]
Hope this helped!
Hello please help, thank you!!
Step-by-step explanation:
3x+5>-10
3x-5+5>-10-5
3x>-15
x>-15/3
x>-5
Given: m∠LON=113° m∠LOM=3x+20 ° m∠MON=2x+33° Find ∠MON
Answer:
m<MON = 57°
Step-by-step explanation:
Glad to help ;)
Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
for opening night totaled $2071.50. The equation 10.50 +3.750 = 2071.50,
where a is the number of adult tickets sold and b
is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students
attended, how may adult tickets were sold?
adult tickets
Hi
Answer:
b= 322.8
Step-by-step explanation:
10.50a + 3.75b = 2071.50
10.50 (82) + 3.75b = 2071.50
861 + 3.75b = 2071.50
-861 -861
3.75b = 1210.5
/3.75 /3.75
b = 322.8
You need at least 10,000 points to advance to the next level of a video game. Your current score is 3200 points. Write and solve an inequality that represents how many more points you need to advance.
Answer:
x + 3200 greater than or equal to 10000
Step-by-step explanation:
you need 6800 more
heyy, please help! Thank you
Answer:
9
Step-by-step explanation:
3-(-6)=9
Hi there! :)
Answer:
[tex]\huge\boxed{q -r = 9}[/tex]
q = 3
r = -6
q - r = 3 - (-6) = 9
if p(x)= 2x^2 -4x and q(c) = x-3, what is (p•q)(x)
Answer:
2x^3 - 10x^2 +12x
Step-by-step explanation:
p(x)= 2x^2 -4x
q(x) = x-3
(p•q)(x) = (2x^2 -4x) * ( x-3)
FOIL
first 2x^2 *x = 2x^3
outer 2x^2 *-3 = -6x^2
inner -4x *x = -4x^2
last -4x*-3 = 12x
Add together
2x^3 -6x^2 -4x^2 +12x
Combine like terms
2x^3 - 10x^2 +12x
Answer:
(p•q)(x) = 2x² - 16x + 30Step-by-step explanation:
p(x) =2x² - 4x
q(x) = x - 3
In order to find (p•q)(x) substitute q(x) into p(x) that's replace every x in p(x) by q(x)
That's
(p•q)(x) = 2( x - 3)² - 4( x - 3)
Expand the terms
That's
(p•q)(x) = 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
Group like terms
(p•q)(x) = 2x² - 12x - 4x + 18 + 12
Simplify
We have the final answer as
(p•q)(x) = 2x² - 16x + 30
Hope this helps you
Solve for . 5w-26=-4(w-7) Simplify your answer as much as possible. PLZ HELP
Answer:
w = 6
Step-by-step explanation:
5w-26 = - 4 (w - 7) multiply -4 through
5w - 26 = - 4w + 28 add 4w to each side to cancel it out on the right
5w + 4w - 26 = 28
9w - 26 = 28 Now add 26 to each side
9w - 26 + 26 = 28 + 26
9w = 54 Now divide each side by 9
(9w)/9 = 54/9
w = 6
All questionshzbzbzbz
(r/3)(3) Please help explain how to do this
Answer:
rStep-by-step explanation:
[tex]( \frac{r}{3} )(3) \\\frac{r}{3} \times 3[/tex]
Convert elements to fraction :
[tex]3 = \frac{3}{1} [/tex]
[tex] \frac{r}{3} \times \frac{3}{1} = \frac{3r}{3} [/tex]
Cross-cancel common factor :3
[tex] =\frac{r}{1} \\ = r[/tex]
What are the two square roots of 1/16?
Answer:
1/4 is the answer ........
Solve
-8- 21 + 10x=61
Answer:
Hello! :) I hope I am correct!!
Step-by-step explanation:
The answer would be: x=9
(Below is how I got ‘x=9’)
Here are the steps to solve this problem/equation.
1. Simplify both sides to the equation.
⇒10x +-21=61
⇒10x -29=61
2. Now add 29 to both of the sides
⇒ (you will end up with: 10x=90
3. And finally you divide both sides by 10
⇒ so x=9
Hope this helps!
By; BrainlyAnime
(I attached a picture of another way to solve this problem/equation!)
Six times a number is at least four less than eight times the number. If x represents the number, which will help find the number?
Answer:
The first thing you need to do here is create an equation.
I've created it for you: 6x = 8x - 4
If you want to solve it, you have to move the like terms to one side so...
4 = 2x
and x = 2
Hope this helped!
Answer:
The correct answer is C on Edge.
Step-by-step explanation:
Edge 2021.
Solve for x.
2 x - 6 / 4 = 10
x = [?]
Answer:
x = 5.75
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be written using function notation? f(y)=1/3v+4/3 f(x)=-3x+4 f(x)-1/3x+4/3 f(y)=-3y+4
Answer:
f(x)=-3x+4
Step-by-step explanation:
just took the test
What decimal number is represented by the shaded portion of the model?
Answer:
0.57
Step-by-step explanation:
Step 1: Count the total amount of squares
10 by 10 square, so 100 squares in total
Step 2: Count how many rows have been filled
5 rows of 10, so 50 out of 100, or 0.50
Step 3: Count the rest
7 out of 100, so 0.07
Step 4: Add
0.07 + 0.50 = 0.57
Answer:
0.57
Step-by-step explanation:
I took the quiz on edge
Derek is purchasing lunch meat for the class picnic. There are 300 people attending the picnic. Derek expects that for every 10 people 11 sandwiches will be eaten and that 20 pounds of meat will make 90 sandwiches. How much lunch meat should Derek buy? 73 1/3 pounds 330 sandwiches 67 2/3 pounds 110 pounds
Answer:
Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches
Step-by-step explanation:
People at the picnic = 300
For every 10 people 11 sandwiches will be eaten
Total sandwiches eaten by 300 people = 300/10 × 11
= 30*11
= 330 sandwiches
330 sandwiches will be eaten at the picnic
20 pounds of meat will make 90 sandwiches.
90/20 = 330/x
Cross product
90x = 330*20
90x = 6,600
Divide both sides by 90
x= 73 1/3
Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches
73 1/3 pounds 330 sandwiches
Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?
Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.
Step-by-step explanation:
Is the expression 3x^2-5x^3 a polynomial?
So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."
So let's take a look at this expression.
Does it consist of variables and coefficients? YES
Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES
Therefore, it is a polynomial.
Now, we have to figure out what degree this polynomial is.
The degree of the polynomial is the degree of the monomial with the largest degree.
So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.
And also, keep in mind that this is a binomial (made up of two monomials).
Therefore, it is a fifth degree binomial or 'quintic binomial'.
Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3
Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{x-4}{2x-3}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Thus x = [tex]\frac{3}{2}[/tex] is the vertical asymptote
twice the sum of two numbers is 36 If one of the numbers is 10 find the other number
Answer:
8
Step-by-step explanation:
10 + 8 = 18
18 x 2 = 36
Answer:
So we know the sum of two numbers, let them be x and y, is equal to 36:
x + y = 36
And on of them, for example, y, is equal to 10:
x + 10 = 36
Now, the only thing we need to do is solving the equation to find x:
x + 10 = 36
We pass the 10 substracting to the right:
x = 36 - 10
And now, we substract:
x = 26
Now we know one number is 10 and the other is 26, so we can verify we have done all correctly
26 + 10 = 36 (TRUE)
Now we know we have done the exercise well.
Please, someone help!
The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about ______ times that of the Sun-Earth system.
References:
The distance to size ratio of the Sun- Nearest Star system is 100,000,000
The distance to size ratio of the Sun-Earth system is 10,000
Hint you have to divide them, however, the answer is not 10,000
Please help! I will mark the brainliest!
Answer: 1:10,000
Step-by-step explanation:
given data:
distance of the nearest star system = 100,000,000
distance to size ration of the sun earth system = 10,000
therefore;
100,000,000 / 10,000
= 10,000
The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.
A = (b1 + b2)h
Solve for b1
Answer:
b1 = A/h - b2
Step-by-step explanation:
Given equation:
A = (b1 + b2)hSolving for b1:
A = (b1 + b2)h ⇒ divide both sides by hA/h = b1 + b2 ⇒ subtract b2 from both sidesb1 = A/h - b2 ⇒ answercade ate 14 slices of pizza. He ate 4
more than Dre. How many slices of
pizza did Dre eat?
Answer:
Pretty sure it's 10
Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.
Please show all work and not just the answers.
Answer:
×=7, pq=27, qr=20.
Step-by-step explanation:
(4x-1)+(3x-1)=47 therefore 7x-2=47 or 7x=49 and x=7, pq=4x-1=27, qr=3x-1=20.
Chang is on his way home in his car. He had driven 36 so far, which is three-fourths of the way home. What is the total length of his drive.
Answer:
the total length of his drive is 42
simplify the expression -9(8+6n-4)
Answer: -36-54n
Step-by-step explanation:
-9(8+6n-4)
=-72-54n+36
=-72+36-54n
=-36-54n
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Answer:
-54n-36
Step-by-step explanation:
-9x8= -72
-9x6n=-54
-9x-4= -54n
-72-54n+36
-72+36=-36
-54n-36
evaluate the expression. 5^2. what is the value of the expression?
Answer:
25
Step-by-step explanation:
5^2 means 5 multiplied by itself 2 times, so therefore: 5x5
5x5 = 25 so 5^2=25
Hope this helped!
Answer:
25Step-by-step explanation:
[tex]5^2 = 5\times 5\\=25\\[/tex]
A cell phone plan costs $30 per
month for unlimited calling plus $0.15
per text message. If you send 200 text
messages, how much would you pay
according to this cell phone plan ( can someone show me how to solve this step by step ? )
Hi :)
If a cell phone plan costs 30 per month and charges 15 cent per text message and 200 text messages were sent,
The base charge is 30 dollars, multiply 0.15 by 200
30 + (0.15 * 200)
30 + (30)
For this month,
$60
Hope this helps,
Jeron
P.S (brainliest? only if you think i really helped you)
-3x + 5 = 2x + 10 what is the answer
Answer:
x = -1
Step-by-step explanation:
Step 1: Write out equation
-3x + 5 = 2x + 10
Step 2: Add 3x on both sides
5 = 5x + 10
Step 3: Subtract 10 on both sides
-5 = 5x
Step 4: Divide both sides by 5
-1 = x
Step 6: Rewrite
x = -1
Answer:
x = -1
Step-by-step explanation:
you want to move all the numbers with an x to one side and the ones without to the other so you get.
-5x=5
then you divide by 5 on both sides and get x = -1
I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the final answer. I have attached a picture.
"Find the real solutions. Use the quadratic formula and a calculator."
At the last step, it said to use a calculator to see if the solutions satisfy the equation, but does that mean I need to plug in the whole thing for each x in the original equation? That would take a long time. I tried punching the "(1 plus or minus sqrt (1 + 160pi^2)) / 2" into my calculator, but the answers I got were wrong.
I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337
Add this to 1 and we have 40.75093337
Then divide over 2pi to get a final approximate result of 6.48571248
So x = 6.48571248 is one approximate solution
In short, I computed [tex]\frac{1+\sqrt{1+160\pi^2}}{2\pi}[/tex] only focusing on the plus for now.
----------------------
If you were to compute [tex]\frac{1-\sqrt{1+160\pi^2}}{2\pi}[/tex] you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.
Answer:
x = 6.49
Step-by-step explanation:
1st is to calculate [tex]\sqrt{1 + 160 pi^2}[/tex] = 39.75 then add 1 = 40.75
2nd divide it by 2pi = 40.75/(2pi) = 6.49
therefore your x = 6.49
the equation would look like
1 ± [tex]\sqrt{1 + 160 pi^2}[/tex] 1 ± 39.75
= -------------------------- = ---------------- = 6.49
2*pi 6.28
Glenn bought 3 pounds of tomatoes. He used bles of them to make sauce. Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce. Move numbers and symbols to the blanks to complete the equation. If there is no whole number in the answer, put a 0 in the first box after the equals sign.
Answer:
He used [tex]1\frac{7}{8}\ lb[/tex]
Step-by-step explanation:
Given
[tex]Total = 3\ lb[/tex]
[tex]Fraction = \frac{5}{8}[/tex] to make sauce
Required
Determine the number of pounds used
To solve this, we simply multiply the fraction of tomato used by the total;
[tex]Used = Fraction * Total[/tex]
[tex]Used = \frac{5}{8} * 3\ lb[/tex]
[tex]Used = \frac{5 * 3}{8}\ lb[/tex]
[tex]Used = \frac{15}{8}\ lb[/tex]
Convert to mixed number
[tex]Used = 1\frac{7}{8}\ lb[/tex]
Hence,
He used [tex]1\frac{7}{8}\ lb[/tex] out of the 3lb he bought