Answer:
Step-by-step explanation:
Assuming you want to find x, we can set two equations:
x-3=0
2x-3=0
This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.
solve for x on both sides, and you get 3 and 1.5
Answer:
[tex]x=3, x=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]
The zero product theorem will be used here to solve this non-linear problem.
means that in the original equation, each variable component must be set to zero.
[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]
To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.
so, -3 will be moved to the right side
Notice that when a term moves from one side of the equation to the other, it changes sign.
[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]
[tex]x\left \{ 3,\frac{3}{2} \}[/tex]
OAmalOHopeO
Does anyone know this
Answer:
Hey there!
The domain of the graph would be [tex]-2\leq x<9[/tex].
Let me know if this helps :)
Answer:
-2 to 9
Step-by-step explanation:
The domain of a graph consists of all the input values shown on the x-axis
If the each side of equalaterial triangle is a cm. what is the area?
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
convert the equation f(x)=1/2x^2+3x-2 to vertex form
Answer:
Step-by-step explanation:
Hello, please consider the following.
The "vertex form" is as below.
[tex]y=a(x-h)^2+k\\\\\text{Where (h, k) is the vertex of the parabola.}\\[/tex]
Let's do it!
[tex]f(x)=\dfrac{1}{2}x^2+3x-2\\\\f(x)=\dfrac{1}{2}\left(x^2+3*2*x\right) -2\\\\f(x)=\dfrac{1}{2}\left( (x+3)^2-3^2\right)-2\\\\f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{9}{2}-\dfrac{4}{2}\\\\f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{9+4}{2}\\\\\large \boxed{\sf \bf \ \ f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{13}{2} \ \ }[/tex]
Thank you.
What is 64 divisible by?
Answer:
1, 2, 4, 8, 16, 32, and 64.
Step-by-step explanation:
64/1 = 64
64/2 = 32
64/4 = 16
64/8 = 8
64/16 = 4
64/32 = 2
64/64 = 1
raise irrational number to rational power and get a rational number
9514 1404 393
Answer:
(√2)² = 2
Step-by-step explanation:
You can do this for any rational root of a rational number. Simple examples are squares and cubes:
(√5)^2 = 5 . . . . . . √5 is irrational
(∛6)^3 = 6 . . . . . . . ∛6 is irrational
__
You can also do it with other rational roots:
x = 83^(2/3) is irrational
x^(3/2) = 83 is rational
Which is 1/3+1/4?
FASTBRIDGE!!
Option B is 1/3 + 1/4.
1/3 + 1/4 is equal to 7/12.
Here, we have,
To find the sum of 1/3 and 1/4, you need to have a common denominator.
The common denominator of 3 and 4 is 12.
To make the fractions have the same denominator, you can convert them as follows:
1/3 = (1/3) * (4/4) = 4/12
1/4 = (1/4) * (3/3) = 3/12
Now that both fractions have a denominator of 12, you can add them together:
1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12
Therefore, 1/3 + 1/4 is equal to 7/12.
now, from the given options, we have,
in option B. it is indicating that,
2/6 + 1/4
=> 1/3 + 1/4.
Hence, Option B is 1/3 + 1/4.
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Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error. After identifying the step with the first error, explain the corrected steps and find the final answer.
Answer:
Manuel made his first mistake in step 2 leading to the continuous mistakes
Final answer=185
Step-by-step explanation:
Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.
2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)
Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)
Step 2: -40 - 75 + 100 +
200
Step 3: -115 + 300
Step 4: 185
Manuel made his first error in step 2 by combining two different terms into one as he has done
(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)
Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)
Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405
He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.
Answer:
$86.40
Step-by-step explanation:
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the
entire month). Water costs 0.20 dollars per liter.
How much did Trevor's family pay per minute on shower water
Average person=72 liters of water
6 people=72*6= 432 liters
Each person = 480 minutes
6 people=480*6= 2,880 minutes
Water=$0.20 per liter
Total cost of water= 432 * 0.20
= $86.40
Answer:
o.o3
Step-by-step explanation:
Which expression can be used to convert 100 USD to
Japanese yen?
Hey there! I'm happy to help!
First, we want to see how many Japanese yen there are for 1 U.S. dollar.
This slash (/) means per or for. We see that in the column (USD/1 Unit) the Japanese yen cell has 0.01007. This means that that is how many US dollars there are for each Japanese yen.
However, we want to find how many Japanese yen there are per U.S. dollar. Well, this is the same as writing Yen/1 USD, and in that column we have 99.30487, which means that for every 1 U.S. dollar we have, we have 99.30487 Japanese yen. This means that for $100, we would have 9930.487 Japanese yen.
This / can also represent a dividing sign or a fraction.
What we did is simply take our Units/1 USD and we multiplied the result by $100 (99.30487/1=99.30487, 99.30487×100=9930.487). This matches with the answer 100 USD(99.30487 yen. 1 USD)
Currency exchange is pretty tricky, but if you keep on practicing you'll get very good at it!
Have a wonderful day! :D
The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)
You can use direct proportion to solve this:
If $1 is to Y99.30487 then what will $100 be equal to:
1 : 99.30487 Yen
100 : x
Cross multiply to get:
1x = 99.30487 Yen x 100
x = (99.30487 Yen x 100) / 1
Which can be written as:
= 100 ( 99.30487 Yen / 1)
In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)
Find out more at https://brainly.com/question/10472985.
Simplify (-8)2. please help
Answer:
-16
Step-by-step explanation:
This equation is showing -8 multiplied by 2, and when they are multiplied, the sum of those two numbers is -16.
Answer:
=-16
Step-by-step explanation:
(-8)2
= 2×-8
= -16
How would you write Twice the difference of 9 and a number.
Answer:
Hey there!
You would write that as 2(9-n), where n is the number.
Hope this helps :)
Solve for b.
106 + 18 = 28
Answer:
106+18≠28
106+18=124
in case the b was misplaced with the 6
10b=28-18
10b=10
10b/10=10/10
b=1
hope this is helpful
2x + 3y = 40
5x + 2y = 30
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
A) Let's solve for x. [tex]2x + 3y = 40[/tex]
Step 1: Add -3y to both sides.
[tex]2x + 3y + -3y = 40 + -3y[/tex]
[tex]2x = -3y + 40[/tex]
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]
[tex]x = \frac{-3}{2} y + 20[/tex]
Answer : [tex]\frac{-3}{2} y + 20[/tex]
~~~~~~~~~~~~~~~~~
B) Let's solve for x. [tex]5x + 2y = 30[/tex]
Step 1: Add -2y to both sides.
[tex]5x + 2y + -2y = 30 + -2y[/tex]
[tex]5x = -2y + 30[/tex]
Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]
[tex]x = \frac{-2}{5} y + 6[/tex]
Answer : [tex]\frac{-2}{5} y + 6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
On Monday a post office employee processed a batch of letters, on Tuesday she processed three times as many, and on Wednesday she processed 5,000 cards. In the 3 days she processed 15,000 letters. How many did she process on Tuesday
Let the number of letters processed on Monday = x
She processed 3 times letters on Tuesday.
Therefore, number of letters processed on Tuesday = 3x
Number of letters processed on Wednesday = 5000
Total number of cards processed in 3 days = 15000
Therefore, equation for the situation will be,
x + 3x + 5000 = 15000
4x = 15000 - 5000
4x = 10000
x = 2500
Since, number of letters processed on Tuesday = 3x
Therefore, number of letters processed on Tuesday = 3(2500)
= 7500
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From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
you find the variable
Can someone help me pleasee
Answer:
it's 9x^6.
hope it may help you
PLS HELP ME!!- What is the total cost for 4.6 pounds of blackberry jam and 1.6 pounds of blueberry jam? boysenberry jam $5/1b blackberry jam $5/1b raspberry jam $7/1b apple butter $3/1b marmalade $3/1b blueberry jam $8/1b Submit I don't kn
Answer:
total blackberry: $23
total blueberry: $12.80
total: $35.80
Step-by-step explanation:
the blackberry jam is $5/lb
therefore, 4.6 pounds of it -
5 x 4.6
=23
the blueberry jam is $8/lb
using the same method we do
8 x 1.6
=12.8
adding the two totals -
23 + 12.8 = 35.8
in other words, the two jams will be $35.80
please help me out. please am begging
Answer:
D
Step-by-step explanation:
The area of a triangle is given by:
[tex]A=\frac{1}{2} bh[/tex]
The base is 14 and the height is 8. Plug it into the formula:
[tex]A=\frac{1}{2} (8)(14)\\A=4(14)\\A=56\text{ cm}^2[/tex]
Convert the following equation into slope intercept form. -5x + y = 2 y = ?x + ?
Answer:
5, 2
Step-by-step explanation:
hope u got it.........
Answer:
y = 5x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 5x + y = 2 ( add 5x to both sides )
y = 5x + 2 ← in slope- intercept form
A kitchen helper stacked some identical bowls into 2stacks.The height of the first stack of 6 bowls. is 16.82cm.The height of the second stack of 8 bowls in 21.2cm. A)Find the height of one bowl.
Answer:
about 2.72 cm.
Step-by-step explanation:
Since, all the bowls are identical, I just added the heights of bothe stacks together and I divided that sum by the number of bowls in each stack all added together.
16.82+21.2=38.02 cm in total height of both stacks.
8+6=14 bowls in all from both stacks
38.02 cm/14 bowls=2.71571428, or rounded, about 2.72 cm
At the Natural History Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors altogether are at the museum?
Answer:
90
Step-by-step explanation:
36/x * 40/100 = 3600/40x
and you get x = 90
Please help. I need it. Bad.
Answer:
Option a.
Step-by-step explanation:
In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.
Opposite side of right angle is hypotenuse. So, CB is hypotenuse.
From figure it is clear that CA is shorter that segment BA.
All angles are congruent to itself. So angle C is congruent to itself.
We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.
So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.
Therefore, the correct option is a.
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer: Line EF=2
Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.
A math teacher claims that the students' test scores are directly proportional to the amount of time spent studying. Amy studies 17 hours for a test and gets a score of 68. At this rate, how many hours would she have to study to get a score of 97?
Answer:
97/4 = 24.25 hours
Step-by-step explanation:
68 = 17x
x = 68/17 = 4
Tuition for one year at the University of Atlantis costs $12,000 per year. Rachel would like to attend this university and will save money each month for the next 3 years. Her parents will contribute $3,000 for her first year's tuition. How much money will Rachel need to save each month to have enough money for the first year of college at the University of Atlantis?
Answer:
250 dollars per month.
Step-by-step explanation:
We first need to subtract the amount of money her parents are giving her.
12000-3000=9000.
Since she is saving money every month for 3 years we have to multiply 3×12=36 months.
We than need to divide how much money she needs by the amount of months she has to get it.
9000÷36=250
Answer ASAP, Will give brainliest!!
Find the length and the mid- segment
Isosceles Trapizoid
AB=48
BC=19
CD=24
DA=19
Answer:
Step-by-step explanation:
Length of mid-segment = [tex]\frac{(AB+CD)}{2}[/tex]
[tex]= \frac{48 +24}{2}\\\\\\=\frac{72}{2}\\\\[/tex]
= 36 in
An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.
Answer:
[tex]\sqrt{100^2 + 420^2}[/tex]
[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]
Step-by-step explanation:
How would the expression x^2 -9 be rewritten using Difference of Squares?
O A. (x+3)(x - 3)
O B. (X-9)^2
O C. (x +9)(x-9)
O D. (x+3)^2
Answer:
A. (x+3)(x - 3)
Step-by-step explanation:
x^2 -9
Rewriting
x^2 - 3^2
We know that a^2 - b^2 = (a-b)(a+b)
(x-3)(x+3)
Answer:
[tex]\left(x+3\right)\left(x-3\right)[/tex]
Step-by-step explanation:
[tex]x^2 -9[/tex]
To factor an integer, we need to divide it by the ascending sequence of primes (2, 3, 5). The number of times each prime divides the original integer becomes its exponent. [tex]3^{2} =9[/tex]
Now, we need to factor this expression by applying the difference of two squares rule:
[tex]A^{2} -B^{2} =(A+B)(A-B)[/tex]
A= x and B= 3
[tex](x+3)(x-3)[/tex]
OAmalOHopeO
2x = 5x - 10 is equivalent to -3x = -10.
True or false
Answer:
True
Step-by-step explanation:
2x = 5x - 10
Subtract 5x from each side
2x-5x = 5x-10-5x
-3x = -10
Answer:
True
Step-by-step explanation:
Given
2x = 5x - 10 ( subtract 5x from both sides )
- 3x = - 10 ← equivalent → True
33. Find the area of the parallelogram above?
Answer:
120
Step 1: Value of triangle's sides
First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.
Step 2: Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]. This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.
[tex]10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36[/tex]
Now, we have to subtract c^2 from a^2 to get b^2.
[tex]100-36=b^2\\100-36=64\\b^2=64[/tex]
Finally, we find the square of 64 and that is 8.
8 is our height.
Step 3: Finding the area
This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).
[tex]8*15=120\\Area=120[/tex]
Our area is 120.
Answer:
120
Step-by-step explanation:
at first you need to calculate h Using the Pythagorean relation
10
[tex]10 { }^{2} = 6 {}^{2} + x {}^{2} [/tex]
[tex] x {}^{2} = 100 - 36 = 64[/tex]
[tex]x = 8 = h[/tex]
area=
[tex]8 \times 15 = 120[/tex]