Answer:
Step-by-step explanation:
[tex](\sqrt{17}+3\sqrt{48})-(\sqrt{17}-3\sqrt{48}) =\sqrt{17}+3\sqrt{48}-\sqrt{17}+3\sqrt{48}\\[/tex]
[tex]= \sqrt{17}-\sqrt{17}+3\sqrt{48}+3\sqrt{48}\\\\= 0 + (3+3)\sqrt{48}\\\\=6\sqrt{48}\\[/tex]
Now factorize 48
[tex]= 6\sqrt{2*2*2*2*3}\\\\=6*2*2\sqrt{3}\\\\=24\sqrt{3}[/tex]
Robert says that the slope of a line passing through (1, 7) and (3, 9) is equal to the ratio 1-3/7-9 . Is this a correct method for calculating the slope? Explain your answer. (1 point)
Answer:
The slope should be calculated using the formula [tex](7 - 9) / (1 - 3)[/tex] instead of the one that was proposed in the question.
Step-by-step explanation:
The slope of a line in a cartesian plane is the rate at which [tex]y[/tex] changes with respect to [tex]x[/tex].
For this line, the value of [tex]y[/tex] increased (vertically) from [tex]7[/tex] at [tex](1,\, 7)[/tex] to [tex]9[/tex] at [tex](3,\, 9)[/tex] as the value of [tex]x[/tex] increased (horizontally) from [tex]1[/tex] to [tex]3[/tex].
In other words, [tex]y[/tex] changed by [tex](9 - 7)[/tex] while [tex]x[/tex] changed by [tex](3 - 1)[/tex].
The slope of the line (rate at which [tex]y[/tex] changes with respect to [tex]x[/tex]) would be:
[tex]\displaystyle \frac{\text{rise}}{\text{run}} = \frac{(9 - 7)}{(3 - 1)} = \frac{(7 - 9)}{(1 - 3)}[/tex].
In general, for a line that goes through [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex], where [tex]x_{1} \ne x_{2}[/tex]:
[tex]\begin{aligned}\text{slope}&= \frac{(y_1 - y_2)}{(x_1 - x_2)} = \frac{(y_2 - y_1)}{(x_2 - x_1)}\end{aligned}[/tex].
i really need to find out how to find a,b, and c in the quadratic formula can u please help ASAP will mark as BRAINLIEST!!
Answer:
Brainliest, please! (Answer below)
Step-by-step explanation:
The basic form for any quadratic function is:
ax^2 + bx + c.
The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.
please please please help me.
Answer: sorry i just know no.2
Step-by-step explanation:
2) = soln
h = ?
p = 5
b =9
[tex]h^2 = p^2 + b^2\\h^2 = 3^2 + 9^2\\or, h^2 = 9+81\\or, h^2 = 90\\so, h = \sqrt{90} \\\\[/tex]
Let the angle be x
so
tan x = p/b
tan x = 5/9
x = [tex]tan^{-1} (5/9)[/tex]
so, x = 29.054
rounding off to ten
x = 29.1
now
let the another angle be y
so
90+y+29.1 = 180
29.1 + y = 180-90
y = 90-29.1
so, y = 60.9
the missing side is √90 and missing angles are 29.1° and 60.9°
A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 80% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 65% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
y = 116
x = 64
Step-by-step explanation:
.55x + .80y =.8* 160
x + y = 180
~~~~~~~~~~~~~~~~~~~~
x = 180-y
James is making a paper chain from different colored paper strips. He joins the links in the following pattern: red, blue, red and blue, and so on. Counting from the first link, what color will the 23rd link be
factorize the following:
x^4+x^2+1
Answer:
[tex] {x}^{4} + x {}^{2} + 1 \\ \\ {x}^{4} + 2 {x}^{2} - {x}^{2} + 1 \\ \\ (x {}^{4} + 2 {x}^{2} + 1) - {x}^{2} \\ \\ ( {x}^{2} + 1) {}^{2} - {x}^{2} \\ \\ ( {x}^{2} + 1 + x)( {x}^{2} - x + 1) \\ \\ ( {x}^{2} + x + 1)( {x}^{2} - x + 1)[/tex]
find the domain of y= √3x+3
Answer:
it's hard to tell the exact question being asked...
y = [tex]\sqrt{3x} + 3[/tex]
or
y = [tex]\sqrt{3x+3}[/tex]
if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )
if y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )
Step-by-step explanation:
What is the value of the expression 2 + 3/4 (1 1/2 + 3.8)
Answer:
5.975
Step-by-step explanation:
An ostrich can run at the speed or 1.67 kilometers per minute. How fast can the ostrich run in miles per
hour?
Find the inverse of each of the given functions. f(x) = 4x − 12 f−1(x) = x +
Find the inverse of each of the given functions. f(x) = 4x − 12 f−1(x) = x +
first one is 1/4
second one is 3
Answer:
first box is 1/4
second box is 3
for the next question on the page ( h(x) = (2x-4)/3 ) the answer is C (h^-1(x) = (3x+4)/2 )
Step-by-step explanation:
Evaluate the expression if a =
- 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
4a - |3b + 2cl
Answer:
-13
Step-by-step explanation:
expression =4a-|3b+2c|
subtitute all values in the expression:
=4(-2) -|3(-3)+2(2)|
=-8-|-9+4|
=-8-|-5|
=-8-(5)
=-8-5
=-13
Note:if you need to ask any question please let me know.
The value of the expression from the variables is -13
How to evaluate the expression from the variablesFrom the question, we have the following parameters that can be used in our computation:
4a - |3b + 2cl
Also, we have
a = - 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
substitute the known values in the above equation, so, we have the following representation
4a - |3b + 2cl = 4 * -2 - |3 * -3 + 2 * 2|
Evaluate
4a - |3b + 2cl = -13
Hence, the expression from the variables is -13
Read more about expressions at
https://brainly.com/question/30492964
#SPJ3
x^2-3x+8 is x=4 will choose brainly
Answer:
12Step-by-step explanation:
[tex] {x}^{2} - 3x + 8[/tex]
(Putting value of x = 4)
[tex] = {4}^{2} - 3 \times 4 + 8[/tex]
= 16 - 12 + 8
= 24 - 12
= 12 (Ans)
Answer:
It is 12
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 3x + 8[/tex]
When x is 4, substitute x as 4:
[tex]f(4) = {(4)}^{2} - 3(4) + 8 \\f(4) = 16 - 12 + 8 \\ f(4)= 12[/tex]
I will give you cookie if it’s right
Answer:
The slope is just 1.
Step-by-step explanation:
Rise 1, up 1. so 1 over 1 just equals 1
2/6 -
ies
✓
Monica needs a piece of wood that is exactly 9.185 feet long for her project. She went to the store and bought
one that was 10.5 feet long.
How much wood does Monica need to cut off?
O 1.315 feet
O 9.185 feet
O 19.685 feet
O I don't know.
1
2
3
4
Nelie
Answer:
1.315
Step-by-step explanation:
10.5 - 9.185 = 1.315
A(-3,-4) Translate A 3 units right, 8 units up
Answer:
at the origin, move it 3 units to the right, then raise the unit up by 8 units. Then the origin would be (0,4)
Step-by-step explanation:
CORRECT ANSWER ONLY PLEASE!! What is the simplest radical form of the expression?
(8x5y3)23
The choose 1.
[tex]4 {x}^{3} {y}^{2} \sqrt[3]{x} [/tex]
I hope I helped you^_^
The simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
When we have indices in the form [tex]ax^{2/3}[/tex] , To find the cube root of the (ax)².
This can be expressed mathematically as
[tex](\sqrt[3]{ax} )^2[/tex]
From the given expression
[tex](8x^5 y^3)^{2/3}\\\\(\sqrt[3]{(8x^5 y^3)})^{2}\\\\4x^2 y^2\sqrt[3]{x}[/tex]
Thus, the simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].
Learn more about an expression here:
https://brainly.com/question/1249625
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4^x when x = 2 need asap
Answer:
16
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price. Complete the sentence to explain whether Jamil paid more or less than the new sale price, excluding sales tax.
The new price offers price is less than the offer of 20% discount.
Given that,
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
percentage of the price paid = 1 - 0.2 = 0.8
Let the original price be x,
According to the question,
36 = 0.8 (x)
x = 36/0.8
x = $45
Since the original price is $45,
As of the new price, the price is $10 so the price becomes $35 which is less than a 20% discount.
Thus, the new price offers price is less than the offer of 20% discount.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ5
Plz help me for 10 points
can someone help me please?
Answer:
[tex]2x - x + 25 - x = x \: terms \: togther \\ 2x - x - x + 25 \\ = 0x + 25 \\ = 25 \\ thank \: you[/tex]
Answer:
2×12-12+25-12
24-12+13
24+13-12
37-12
25
X^6-64 divided by X+2
Answer:
[tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]
Step-by-step explanation:
[tex] {x}^{6} - 64 \div x + 2[/tex]
➡️ [tex] {x}^{6} - \frac{64}{x} + 2[/tex]
➡️ [tex] \frac{ {x}^{7} - 64 + 2x }{x} [/tex]
➡️ [tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]
help me find the area pls
What are RQS and TQS?
Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
PLEASE HELP I WIL, GIVE BRAINLIST
Answer:
B There should be lines drawn through the inner vertices as well
Step-by-step explanation:
The answer is B There should be lines drawn throu the inner verticesas well Because
those red lines are from inner vertices
HELP HELP HELP!! Giving brainliest
Of 200 students, 150 like Math or English. 50 like both subjects and 90 of the students like math. How many students like English?
Answer:
60 is the correct answer
hope it helps
Answer:
110
Step-by-step explanation:
150+50-90= 110
so therefore the answer is 110
In 2015, 120000 people voted. The number of viewers who voted in 2015 was 20% more than those in 2014. Calculate the numbers of viewers who voted in 2014
Answer:
Given;
120,000 people voted in 2015.
In 2015, 20% more people voted than 2014.
Therefore:
How many more people voted in 2015 = 20% of 120,000
= 24,000
Total number of people voted in 2014 = 120,000 - 24,000
= 96,000
Ans) 96,000 people voted in 2014.
căn 0.45*0.3*6
pls help
thanks you
Answer:
0,81
Step-by-step explanation:
0.45 x 0.3 x 6
= 0,135 x 6
= 0,81
[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]
to rent a popcorn machine, it costs 35 dollars plus 6.95 dollars for each hour. Write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the costs for 5, 6, 7, and 8 hours
Answer:
equation=35+6.95h=c
5 hours= $69.75
6 hours= 76.7
7 hours= 83.65
8 hours= 90.6
Step-by-step explanation:
the equation is found by adding 35 (the cost of the machine) and 6.95 times how many hours. To find the hours after 5 just add 6.95 every time.
Answer:
35+6.95h=c
5 hours= $69.75
6 hours= 76.7
7 hours= 83.65
8 hours= 90.6
Step-by-step explanation:
35+6.95h=c
5 hours= $69.75
6 hours= 76.7
7 hours= 83.65
8 hours= 90.6
Write 0.002349 in scientific notation.
Hi! I'm happy to help!
To solve this, we first need to know what scientific notation is. Scientific notation is a way a number is written. You write it using a number ranging from 1 to <10. Then, you multiply this number by [tex]10^{x}[/tex].
In order to make this number reasonable for scientific notation, you have to move the decimal a certain amount of places. In this case you move it 3 places to the right to make your number 2.349. Since we moved it 3 places to the right our x will be -3. (If we'd moved it 3 places to the left, our x would be positive 3.)
So now, we insert our numbers:
2.349·[tex]10^{-3}[/tex]
You write 0.002349 like 2.349·[tex]10^{-3}[/tex], when it is in scientific notation.
I hope this was helpful, keep learning! :D
Including a 5% sales tax, an inn charges $172.20 per night. Find the inn's nightly cost before tax is added.
The cost of the room before the tax is X.
To get the total cost they multiply the cost of the room x by 1 + sales tax rate.
Total cost would be x(1.05)
To find x divide total cost by 1.05:
Cost of room before tax: 172.20/1.05
Cost: $164