Given:
[tex]4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+\sqrt{12}[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex]4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+\sqrt{12}[/tex]
It can be written as
[tex]=4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+\sqrt{4\times 3}[/tex]
[tex]=4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+2\sqrt{3}[/tex]
Using distributive property, we get
[tex]=4\sqrt{7}-2(2\sqrt{7})-2(\sqrt{3})+2\sqrt{3}[/tex]
[tex]=4\sqrt{7}-4\sqrt{7}-2\sqrt{3}+2\sqrt{3}[/tex]
[tex]=0[/tex]
Therefore, the value of given expression is 0.
what is the answer to this?
Answer:
[tex] < 1 = 48[/tex]
Step-by-step explanation:
[tex] < 1 + 132 = 180[/tex]
[tex] < 1 = 180 - 132[/tex]
[tex] < 1 = 48[/tex]
because it's a straight angle(180)
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answer:
40%
Step-by-step explanation:
Ignore the zeros, then think about the 15 ‘s multiplication table. Once you do, you will find that 90 is 15 times 6, which is 60%. And 100-60 is obviously 40. Hope this helps.
The percentage that was reduced from the original price is 40 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The original price of the skateboard = $ 150
The reduced price of the skateboard = $ 90
The difference between the original price and reduced price =
Original price of the skateboard - Reduced price of the skateboard
The difference between the original price and reduced price = 150 - 90
= $ 60
Let the percentage decrease be A
Now the equation will be
Original price of the skateboard - A % ( Original price of the skateboard ) =
Reduced price of the skateboard
So ,
150 - A/100 ( 150 ) = 90
Adding A/100 ( 150 ) on both sides , we get
A/100 ( 150 ) + 90 = 150
Subtracting 90 on both sides , we get
A/100 ( 150 ) = 60
Multiply by 100 on both sides , we get
150A = 6000
Divide by 150 on both sides , we get
A = 40 %
Hence , the percentage at which the price of the skateboard reduced is 40%
To learn more about percentage click :
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5. What is the length of the unknown leg?
Answer: a = 8
Step-by-step explanation:
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = √64
a = 8
Plsss help ty I’ll mark u
Answer:
7/4 meter
Step-by-step explanation:
their all in fractions of 8 so let reduce
Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8
Pepper 5/8 cause that cant be reduced any lower
Squash - 7/8 cant be reduced any more
Now its asking to subtract the tallest plant from the smallest to see the diffrence
The tallest plant is Corn and the shortest is Pepper
19/8 - 5/8 = 14/8
reduce 7/4
Answer:
It is 14/5 meters taller.
Step-by-step explanation:
[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]
During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?
Answer: 2/5
Step-by-step explanation:
How many solutions does the system of equations below have?
y = 3x + 4
y + 6 = 3x
Answer:
0 / no solutions
Step-by-step explanation:
Rewrite both in terms to the form y = equation.
EQ1: y = 3x + 4 (already in correct form)
EQ2: y = 3x - 6 (subtracting 6 from both sides).
Now suppose there is an intersection, then:
3x + 4 = 3x - 6, subtracting 3x from both sides gives:
4 = -6, which is a contradiction!
Therefore there are 0 / no solutions
Write the expression below in standard form.
3h - 2 (1 + 4h)
Answer:
-5h-2 I think this is the answer.
Step-by-step explanation:
PLEASE HELP!! THANK YOU!!
Step-by-step explanation:
i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D
Answer:
(0,-2)
Step-by-step explanation:
Parallelograms have parallel lines and equal opposite lines.
You can count.
For Ex: A is 1 above and 5 to the left of B.
So D should be 1 above and 5 to the left of C.
C is at (5,-3)
Go up 1 and left 5 and you get (0,-2)
Which values of a a,b, and c correctly complete the division?
1/4 divided by 5/6 = 1/a x b/c
Answer:
a=4, b=6 c=5
Step-by-step explanation:
Using the elimination method to solve
2 x-y=8
x + y = 20
Step-by-step explanation:
2x-y=8
x+y=20
------------
3x=28
×=28÷3=9.3
so
9.3+y=20
y=20-9.3
y=20.7
PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!
Answer:
B : y − 3 = 2/3 ⋅ ( x − 3 )
Step-by-step explanation:
Answer:
B, but if I am only 95 percent sure.
Step-by-step explanation:
2. Consider the following graph of a quadratic function.
a Doline the domain
b. Define the range
c. Where is the graph increasing
d. Where is the graph decreasing
. Identify any relative maximums.
1 Identily any relative minimums
10 points!!!
Answer:
Domain is all real numbers.
Range is -3 to infinity that is y >= -3 (that is y -3)
Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4
Decreasing from x <-4 (that is -infinity to -4) that is to left of -4
This has a minima at x= -4 with y= -3. We can write as (-4, -3)
Maxima is not there as it is going to infinity
Step-by-step explanation:
Can someone help within 10 min Help plz
Answer:
-6x + y < 3
Step-by-step explanation:
After y = 3 the shading hits the y axis!
Brainliest Appreciated! Hope I helped!
Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.
Answer:
No
Step-by-step explanation:
3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor
Answer:
NoStep-by-step explanation:
Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7
then f(-5) should be equal to zero. Verifying:
f(-5) = (-5)^3 - 4(-5)^2 +3(-5) + 7 =-125 - 100 - 15 + 7 = -233Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial
can someone please help me out on this
Answer:
a.
Step-by-step explanation:
for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)
then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)
since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in
Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x
please see my steps to work this problem
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?
How do u show work for this problem
Answer:
im not seeing the problem...
Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope.
The slope of the given line, y = 3x - 2 is 3.
The equation we are looking for is of the form
y = mx + b
Since we know the slope, m, is 3, we have
y = 3x + b
To find the value of b, we substitute x and y with the values from the given point and solve for b.
-2 = 3(5) + b
b = -17
The equation is
y = 3x - 17
Select all the points that are on the graph of the line 2x + 3y = 6
Answer:
The points are;
X Y
3 0
0 2
12 -6
15 -8
This is in no particular order.
Step-by-step explanation:
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
Answer:
Let's represent pink flowering plants with the variable p:
8p + 5(15 - p) = 96
8p + 75 - 5p = 96
3p = 21
p = 7
Step-by-step explanation:
Arianna bought 7 pink flowering plants
Answer:
B) 7
Step-by-step explanation:
took the test on edg
Which statement is true for all functions f(x)?
Evan used half his paycheck for his car payment, then $125 for groceries. If he has $215 left, how much was his paycheck.
Answer:
680 dollars
Step-by-step explanation:
.5x - 125 = 215
.5x = 340
x = 680
What is the average rate of change for [-1,2]?
Answer:
Step-by-step explanation:
The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.
Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?
A) 6750
B) 3415
C) 5500
D) $4250
Answer:
D; $4,250
Step-by-step explanation:
Here, we want to know the amount that was invested in the 5% account
We proceed as follows;
Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b
We have it that the total investment amount is $11,000
Mathematically, since total is 11,000; we can add a and b to give this
a + b = 11,000 •••••••••(i)
Now, let us work with the interests
Interest earned will be;
Percentage of interest * Amount invested
For the 5% interest account, the interest earned will be;
5/100 * a = 5a/100 = 0.05a
For the 8% interest account , the interest earned will be;
8/100 * b = 0.08b
By adding the interests on both account, we can get the total amount of interest earned
We can have this as;
0.05a + 0.08b = 752.50 •••••(ii)
From equation i above;
b = 11,000 - a
Substitute this into ii
0.05a + 0.08(11,000-a) = 752.5
0.05a+ 880 - 0.08a = 752.5
0.08a-0.05a = 880-752.5
0.03a = 127.5
a = 127.5/0.03
a = $4,250
The slope of the line represented by y = 5x is
Answer:
The slope of the line represented by y = 5x is 5
Step-by-step explanation:
The form of the linear function is y = m x + b, where
m is the slope of the line that represents the equationb is the y-intercept (the value of y at x = 0)To find the slope of a line from its equation compare the equation with the form of the linear function, then find the coefficient of x which is the slope of the line
∵ The equation of the line is y = 5x
→ Compare it with the form of the equation above
∵ The coefficient of x = 5
∴ m = 5
∴ The slope of the line represented by y = 5x is 5
I needdd helpp :)))))
Given: AB || DC, AD || BC
Prove:
Answer:
Reasons:
2. Opposite interior angles
4. Opposite interior angles
5. Same line
6. Congruence
Step-by-step explanation:
Please help due soon!