simplify -3√3(2+√6)
please include steps
Answer:
-6√3 - 9√2
Step-by-step explanation:
So you distribute like normal:
-3√3 times 2 is -6√3
-3√3 times √6 is -3√18
You can simplify -3√18 into -9√2
(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)
(Also you have to divide 9 out of 18 since you are simplifying)
So the answer will be -6√3-9√2
Hope this helps!
The function g(x) is a transformation of the quadratic parent function, f(x) =
x2. What function is g(x)?
a. g(x) = 1/2x^2
b. g(x) = -2x^2
c. g(x) = 2x^2
d. g(x) = -1/2x^2
The function g(x) is a transformation (flipped upside down and horizontally stretched) of the quadratic parent function, f(x) = x2. g(x) = -0.5x².
What is flipping upside down?Flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is −f (x).
Since, g(x) is an upside down function of f(x), g(x) = -f(x).
What is stretching a graph?If we multiply a function by a coefficient, the graph of the function will be stretched.
A function h(x) represents a horizontal compression of f(x) if h(x) = f(cx) and c > 1.
A function h(x) represents a horizontal stretch of f(x) if h(x) = f(cx) and 0 < c < 1.
Since, g(x) is clearly a stretched transformation of f(x), c < 1.
The possible function g(x) = -0.5x².
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can someone pls help me with number 5 pls show your work so i can understand thanks
Step-by-step explanation:
Let's represent Aaron's age with x and
Charlene's age with x+8
x+x+8=44
2x+8=44
2x=44-8
2x=36
x=36÷2
x=18
Aaron is 18 years old.
While Charlene is 18+8=26 years old.
Hope this helps!
what mathematician independently discovered calculus after isaac newton?
Answer: Gottfried Wilhelm Leibniz
Step-by-step explanation:
Gottfried Wilhelm Leibniz
solve please ;3 ( will give brainliest ♡ )
In Pedro’s rose garden, 9 of the rose bushes are blooming and the other 6 rose bushes are not blooming. what is the ratio of the number of bushes that are not blooming?
Answer:9:6
Step-by-step explanation:
Are the shapes similar?
a
Yes
b
No
c
It cannot be determined.
The rectangular frame is made from 5 straight pieces of metal.
6 m
8 m
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.
Step-by-step explanation:
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
=√100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
The correct answer is 57kg.
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
What is the weight formula?The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.
To obtain the weight of your metal, you will multiply the sectional area, length and density together. Then, to convert the weight to kilograms, you must divide the product by 1,000. You can also determine the weight of your metal product using any number of online metal weight calculators.
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F(x)= x^3+4x^2-5x-20;x+4
The set of all possible outputs for a function is its:
Answer:
the set of all possible outputs for a function is the range
PLEASE HURRY 45 points
Alexei writes the power regression equation y = 2.5x^1.13 to model the time, in minutes, it takes him to complete level x
of a video game. Based on the regression equation, approximately how many minutes will it take him to complete level
4 of the video game?
A 10
B 11
C 12
D 13
Answer\
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Replace ? with a whole number to make the statements true.a. 20 ÷ 4 = ? means ? × 4 = 20b. 2,725 ÷ 5 = ? means ? × 5 = 2,725c. ? ÷ 5 = 0
Please help
Which of the following is equivalent to the expression below?
Answer:
2x2x2 or 2x2x2x2
Step-by-step explanation:
because thats the answer
cho hình thang ABCD vuông tại A và D cho biết AD=20 AC=52 và BC=29 Tính độ dài AB
Answer:
https://sooddan.zendesk.com
Name the angle pair relationship and solve for the given angle
Answer:
The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.
Step-by-step explanation:
Since the two angles are corresponding, they are equal.
7x-14 = 4x + 19
Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.
3x-14 = 19
Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.
3x = 33
Divide by 3.
x = 11
Solve for the unknown.
Solve.
4.704=y+310
Enter your answer as a decimal in the box
Answer:
-305.296
Step-by-step explanation:
Make y the subject of the equation.
If 4.704=y+310 is the given equation, the value y is -305.3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 4.704=y+310
Four point seven zero four equal to y plus three hundred ten
We need to solve for y in the given equation.
4.704=y+310
Subtract 310 on both sides
4.704-310=y+310-310
-305.3=y
Hence, y is -305.3 for the equation 4.704=y+310
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help please, im confused
Step-by-step explanation:
x=½y+5. ......i
2x+3y=-14. .....ii
putting the value of x in equation ii.
2(½y+5)+3y=-14
y+10+3y=-14
4y=-24
y=-6
Now, putting the value of y in first equation.
x=½y+5
x=(½×-6)+5
x=-3+5
x=2.
therefore, the value of x=2 and y=-6.
So, option D is correct answer.
hope this helps you.
A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?
41
Step-by-step explanation:
3(8)+11+6=24+17=41
make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
Alicia wants a pair of shoes that cost $68.48. If 17% sales tax must be added to the price, approximately
how much will the shoes cost including sales tax?
Answer:
$80.12; approx. $80
Step-by-step explanation:
- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64
- the tax is 11.64
- add 68.48 + 11.64
- her total is $80.12
- rounded it would be $80
Hope this helped!
Answer using steps: An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone. The 3 flavors are vanilla, chocolate, and strawberry. last saturday, the shop sold 42 cones. it sold 11 more with chocolate than with vanilla and 2 more with vanilla than with strawberry. how many cones with strawberry ice cream did the shop sell that saturday
Step-by-step explanation:
udhfhxhsjdjejdbcjdxbshajdddjwjed
The number of strawberry ice cream cones the shop sells that Saturday is 9 ice cream.
What is a linear equation?
A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c.
calculation:-
An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone.
let a number of strawberry ice cream this shop sold on satrday=X
number of vanilla ice cream shops sold = X+2
number of Chocolate ice cream shops sold = X+2+11
Total number of icecream sold on Saturday =42
⇒ X+ X+2+ X+2+11 = 42
⇒ 3X + 15 =42
⇒ 3X = 27
⇒X = 27/3
⇒ X = 9
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If line AB is congruent to line CD then CD is congruent to AB what property
Please Help, im stuck
Answer:
[tex]6^{9} * 6^{-3}[/tex]
Please solve the math problem... I will mark you brainliest
1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?
Answer:
4 T
Step-by-step explanation:
2 T (2) = 4 T
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
Answer:
STEP1:
4 Simplify — 1
Equation at the end of step1:
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)
STEP2:Equation at the end of step 2
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)
STEP 3 :
Equation at the end of step3:
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)
STEP 4 :
4 Simplify —— a3
Equation at the end of step4:
4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP 5 :
Equation at the end of step5:
4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP 6 :
Equation at the end of step6:
4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP7:Rewriting the whole as an Equivalent Fraction
7.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using a3 as the denominator :
2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP8:Pulling out like terms
8.1 Pull out like factors :
2a3 + 4a2 - 2a = 2a • (a2 + 2a - 1)
Trying to factor by splitting the middle term
8.2 Factoring a2 + 2a - 1
The first term is, a2 its coefficient is 1 .
The middle term is, +2a its coefficient is 2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Adding fractions that have a common denominator :
8.3 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3
Equation at the end of step8:
(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3
STEP9:
Rewriting the whole as an Equivalent Fraction :
9.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using a3 as the denominator :
22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3
STEP10:
Pulling out like terms :
10.1 Pull out like factors :
2a6 + 4a5 - 2a4 - 4 =
2 • (a6 + 2a5 - a4 - 2)
Checking for a perfect cube :
10.2 a6 + 2a5 - a4 - 2 is not a perfect cube
Trying to factor by pulling out :
10.3 Factoring: a6 + 2a5 - a4 - 2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -a4 - 2
Group 2: a6 + 2a5
Pull out from each group separately :
Group 1: (a4 + 2) • (-1)
Group 2: (a + 2) • (a5)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
10.4 Find roots (zeroes) of : F(a) = a6 + 2a5 - a4 - 2
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -2.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant :
You have a garden ABCD that you decide to move to another
location and enlarge afterwards to become A"B"C"D", as shown. The axes have a
scale in meters. Write the translation rule in the form (x+h, y+k) to show how the
garden has been moved.
b. Determine the scale factor used to enlarge the garden
Answer: no
Step-by-step explanation: no
Answer:
scale enlargement of 1 1/2 ( x+5, y+3)
Step-by-step explanation:
solve for x
a) 30
b)45
c) 60
d) 90
Find the value of x. 50° 83° X
Answer: trap house
Step-by-step explanation: