Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
PLEASE HELPPP I DONT UNDERSTAND
Step-by-step explanation:
You need to do the distributive property to answer this question.
Everything in the outside of the parenthesis needs to be multiplied by each number inside the parenthesis.
Hope this helps you!
Answer:
(3 ^2 x 2x^ 4 y^2 )
Step-by-step explanation:
Kayla wanted to buy a sweatshirt. The original price was $45. When she went to the store the sale price was $37. What is the percent discount on the sale price?
can someone explain how to solve this question.. it would mean a lot to me, thanks :)
Answer:
you would need to cross multiply 37/45 = x/100
Step-by-step explanation:
The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent.
that doesn't give the answer
Answer:
what doesnt give the answer??
Step-by-step explanation:
which will not result in a value of zero?
Answer:
B
Step-by-step explanation:
because 10 and 11 are not equal, therefore, when you add 10 then subtract 11, you will not end up with your original number
Answer:
Deposit $10, then withdraw $11.
Step-by-step explanation:
If you have $10 and you take away $11. You balance a of -1. Which is not zero.
A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?
Answer:
slope:1/2
y intercept:-1/2
equation of the line: y=1/2x-1/2
Step-by-step explanation:
choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.
now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b
since b is the y intercept, solve for b and you get b= -1/2.
so nowsince you know the slope and the y intercept you just plug it in to the equation
y = mx + b and you get y=1/2x-1/2.
Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answer: D is the correct answer .
D. h(x)= (x-2)^2(x+4)(x-1)
Step-by-step explanation: For Plato users the correct answer is D .
The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.
What is a Function?A function is a law that relates a dependent and an independent variable.
The zeroes of the function are the point at which the function value becomes 0.
The function which have three distinct real zeroes is
h(x) = (x − 2)²(x + 4)(x − 1)
(x-2)² = 0
x = 2
(x+4) = 0
x = -4
x-1 = 0
x = 1
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Write an expression for the sentence: Kelly has $120 to spend at the fair and spent $15 on food and wants to play games that cost 4$ each
Smart people can answer
Solve for y: 2(x - y) =a
Answer:
a=2x−2y
Step-by-step explanation:
In 2010, the continent of South America had a population of 395,280,204 . Which of the following is the closest estimate of this number
do you have answer choices? if so, the answer is whichever number is closest to 395,280,204
Answer:
C. 4x10^8
Step-by-step explanation:
Provide reasons for the proof.
Given: ∠2≅∠4 and ∠2 and ∠3 are supplementary
Prove: ∠1 ≅∠3
Answer:
See picture below.
Explanation
I took the test and got a 100% on it, so this should be right for any future students.
need help with a question
Answer:
You need to put the Question to get us to answer it sorry
Step-by-step explanation:
10c - 6(2c - 1) = -2 (c- 3). Solve for c
2. Roger's class as 35 students. 21 of the students are girls. What percent of the class are girls? Round
to the nearest whole number (Number before the decimal) if necessary.
im doing the same and need help
Step-by-step explanation:
Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.
What are the coordinates of the point B'?
A. (-6,7)
B. (-1,6)
C. (4, -3)
D. (6,-1)
Answer:
The new coordinate of B' will be ( -1, 6)
The translated coordinate of the point B' will be (-1,6).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,
B = ( 3, 0 )
Translated 4 units down and 6 units right,
B' = ( 3 - 4 , 0 + 6 )
B' = ( -1, 6 )
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is the table shown proportional
Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.
to find the cost of a small drink, you might want to:
subtract the decimalstotal cost : $20.50
cost of pizza :$13.00.
cost of one small drink : total cost - cost of pizza
: $20.50 - $13.00.
: 20.50
- 13.00
: 07. 50
: $ 7.50
Sabrina uses 2 oz of clay to make the
cube shown. She wants to make a
larger cube with an edge length that is
twice as long. How many ounces of
clay does she need to make the larger
cube? Show your work.
PLEASE HELP!!
Answer:
4 because everything is multiplied by 2
Step-by-step explanation:
3.5 × 2 = 7, do the same thing to the amount of oz used to make the cube.
2 × 2 = 4, so 4 oz of clay should be enough. PLZ MARK BRAINLIEST
2xー1+2-2
solve this and show work
Answer:
2x - 1
Step-by-step explanation:
2x−1+2−2
=2x+−1+2+−2
Combine Like Terms:
=2x+−1+2+−2
=(2x)+(−1+2+−2)
=2x+−1
Answer:
x = 1/2Step-by-step explanation:
We need to add -1 to each side of this to get rid of the -1 in the equation.
2x - 1 + 2 = 2
2x + 1 = 2
We need to subtract 1 from each side.
2x = 1
x = 0.5
Checking:
2(0.5) - 1 + 2 = 2
1 - 1 = 0 + 2 = 2 (Checks out)
ANSWER: x = 1/2From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.
What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?
Answer: help plz
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
What number is 64% of 120?
i don’t need solutions , just answer please and thank you !!! ❤️
76.80
Step-by-step explanation:Hi there !
100% .............. 120
64% .....................x
x = 64×120/100
= 7680/100
= 76.80
Good luck !
Given h(x)=-2x-5, solve for x when h(x)=9 what is the answer someone help please
Answer:
-7
Step-by-step explanation:
[tex]h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7[/tex]
Simply replace h(x) with 9 because it is given in the question that h(x)=9
Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?
Answer:
oi
Step-by-step explanation:
Answer:
11 feet maybe
Step-by-step explanation:
The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?
Answer:
77.88 minutes
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
For 80% of student to complete the exam. In the given time
Using the formula :
Zscore = (X - mean) / standard deviation
80th percentile = 80/100 = 0.8 has a Zscore = 0.7881
0.7881 = (X - 70) /10
0.7881 * 10 = X - 70
7.881 = X - 70
7.881 + 70 = X
77.881 = X
Hence, 77.88 minutes should be given
Explain or show that the point (5,-4) is a solution to this system of equation 3x-2y=23
Answer:
Step-by-step explanation:
3(5)-2(-4)=23
15+8=23
23=23
The system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of linear equation is:
3x - 2y = 23
The point is (5, -4)
Plug x = 5 and y = -4
3(5) - 2(-4) = 23
15 + 8 = 23
Thus, the system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.
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Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?
A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=
[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]
[tex] \frac{9}{2} \div \frac{5}{4} [/tex]
[tex] \frac{9}{2} \times \frac{4}{5} [/tex]
[tex] \frac{36}{10} [/tex]
[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]
[tex]3 \frac{6}{10} [/tex]
In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .Therefore , the correct option is :-[tex]A. a = 3 , b = 6 , c = 10
[/tex]
HELP HELP!!!!
A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, plot the line y = −x + 1, which has y-intercept = −1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = −2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Answer:
The last option is correct:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
Step-by-step explanation:
We have a pair of equations of lines:
y=-x+1
y=2x+4
The equation of a line can be written as follows:
y=mx+b
Where m is the slope and b is the y-intercept.
Following the form of both lines, we can conclude that:
The first line has slope -1 and y-intercept 1
The second line has slope 2 and y-intercept 4.
To solve the system of equations graphically, we must plot both lines and write the coordinates of the point of intersection of the lines as the solution.
The only option which has all the correct information is the last one:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
The fourth option is correct which is : On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
For plotting the graph of a line we compare the given equation of the line to the standard equation: y = mx + c
where m = slope of the lie
c = intercept on y- axis
(i) y = -x + 1
comparing with y = mx + c we get,
slope m = -1
y-intercept c = 1
(ii) y = 2x + 4
comparing with y = mx + c we get,
slope m = 2
y-intercept c = 4
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Please help! I will give brainliest!
15 points!!!
Answer:
1887
Step-by-step explanation:
[tex]\textrm{substitute }x=-5\textrm{ into the equation:}\\2(-5)^{4}-5(-5)^{3}+(-5)^{2}+3(-5)+2\\=2(625)-5(-125)+25-15+2\\=1887[/tex]
On Saturday, Kim's softball team will be having a family picnic. Hamburger patties
are sold at the local store with 12 patties in a package. Hamburger buns, however,
are only sold in packages of 9 hamburger buns. Kim's team wants to buy the exact
same number of packages for patties and buns
What is the least number of packages of patties and hamburger buns that Kim's
team should buy to have exactly the same number of patties as hamburger buns? If a
package of hamburger patties cost $4.98 and a package of hamburger buns cost
$2.16, what was the total expense?
Answer:
See below
Step-by-step explanation:
The patties (3 packs)
12x3= 36
The buns (4 packs)
9x4= 36
cost:
3x$4.98= $14.94
4x$2.16= $8.64
Add them to equal the total cost
= $ 23.58
HELPPPPPPPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
:) hard to explain, and takes a LOT of typing I don't really wanna do
Which linear function has the steepest slope?
A. y = negative 8 x + 5
B. y minus 9 = negative 2 (x + 1)
C. y = 7 x minus 3
D. y + 2 = 6 (x + 10)
Answer:
Step-by-step explanation:
Option A
Answer:
Option A
Step-by-step explanation: