Answer:
[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]
Step-by-step explanation:
[tex]3(x+4)^2 =8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left(x+4\right)^2}{3}=\frac{8}{3}\\\\Simplify\\\left(x+4\right)^2=\frac{8}{3}\\\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}\\g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+4=\sqrt{\frac{8}{3}}:\\\quad x=\frac{2\sqrt{6}}{3}-4\\\\\\\mathrm{Solve\:}\:x+4=-\sqrt{\frac{8}{3}}:\\\quad x=-\frac{2\sqrt{6}}{3}-4\\[/tex]
[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]
The functions y=x2+cx2 are all solutions of equation: xy′+2y=4x2, (x>0). Find the constant c which produces a solution which also satisfies the initial condition y(10)=2.
Answer: c = -0.98
Step-by-step explanation: Differential equation of first order is an equation involving differentiable function and its derivative.
For the differential equation: [tex]xy' +2y=4x^{2}[/tex], it given a solution function:
[tex]y=x^{2}+cx^{2}[/tex]
Factorating the function: [tex]y=x^{2}(1+c)[/tex]
So, to determine constant c, use the initial condition:
When x = 10, y = 2:
[tex]2=10^{2}(1+c)[/tex]
[tex]1+c=\frac{2}{100}[/tex]
[tex]1+c=0.02[/tex]
c = -0.98
Constant c that satisfies the initial condition is c = -0.98
Juvi is baking oatmeal raisin cookies and fudge brownies! To make 4 batches of brownies, Juvi needs 2/3 of a cup of sugar. She already has 1/2 of a cup of sugar in her cabinet and her sister Evi brings her 2/5 of a cup of sugar when she hears she needs more! Will Juvi have enough sugar to make 4 batches of brownies? If she does not have enough, how much more does she need? Explain below.**PLEAE HELP WILL MARK BRAINLIEST.
We can add the fractions together to compare with how much sugar she needs.
[tex]\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{5}=\frac{9}{10}[/tex]
So Juvi has [tex]\frac{9}{10}[/tex] cups of sugar.
She needs [tex]\frac{2}{3}[/tex] cups, so let's make the denominators the same and compare.
[tex]\frac{2}{3}=\frac{20}{30}[/tex]
[tex]\frac{9}{10}=\frac{27}{30}[/tex]
Since [tex]\frac{27}{30}[/tex] > [tex]\frac{20}{30}[/tex], she has enough sugar to make 4 batches of brownies.
Hope this helps.
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is the difference of square root of 18 and 3 a rational number
Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48, , ,
Answer:
-96
192
-384
Step-by-step explanation:
Multiply by negative 2
Answer:
12
Step-by-step explanation:
What is the solution to x6 - 6x 5 + 15x4 - 20x3 + 15x2 - 6x +1 0?
x = 0
X = 1
all real numbers
all real numbers except zero
Answer:
all real numbers
Step-by-step explanation:
Answer:
all real numbers
Step-by-step explanation:
The answer is all real numbers on Edge. (VERIFIED Edge Answer)
Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.
Edge Tip: Answers do not mix or change.
3x-4y=8 solve for x only
solve it step by step accurate answer pls
#Algebra 2
Answer:
3/4x-2
Step-by-step explanation:
3−4=8
∴3=4+8
∴4=3−8
∴=14(3−8)=34−2
Answer + Step By Step:
If two functions have no solutions, what does that tell you about the two functions?
Answer: That the graphs of the functions never intersect with each other.
Step-by-step explanation:
i guess that this refers for a system of equations.
y = f(x)
y = g(x)
So to solve this, we usually would write:
f(x) = y = g(x)
If that has no solutions, it means that the graphs of f(x) and g(x) never cross eachother.
HELP AGAIN!!! PLEASE HELP OUT!!! MAYBE GIVE AN EXPLANATION TOO!!! THANK YOU
Step-by-step explanation:
3C = bC = b/3C+3 = b/3+3 (ADDING 3 ON BOTH SIDES)ANS: OPTION E : B/3+3Annual Pay: $61,000
Monthly:
Semi-Monthly:
Bi-Weekly:
Weekly:
Answer:
Monthly: 5,083
Bi-weekly: 2,346
Weekly:1,173
Daily: 235
the price of a shirt is increased by 10%. later the price is reduced in a sale by 10%, is the sale price more, less or the same as it was at the start? give reasons for your answer
Answer:
less
Step-by-step explanation:
We assume price of a shirt is $100.
Initially price is increased by 10%: 100+10=110
Then it is reduced by 10%: 110-11=99
Now price of a shirt is $99.
Answer is price of a shirt is less than it was at the start.
Solve for x. -2(-4x - 1) = x + 3 = -30
The points C, D, E and F all lie on the same line segment, in that order, such that the
ratio of CD: DE: EF is equal to 3 : 2: 6. If CF = 11, find DF.
I NEED HELP PLZ
Answer: Try 6
Step-by-step explanation:
The value of segment DF will be 8 units.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD: DE: EF is equal to 3 : 2: 6. If CF = 11. The value of DF will be calculated as below:-
3x + 2x + 6x = 11
11x = 11
x =1
DF = 2x + 6x
DF = 2 + 6
DF = 8
Therefore, the value of segment DF will be 8 units.
To know more about ratios and proportions follow
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is 5.692 terming or rrepeating
Terminating, because it ends. If it was repeating it would go in infinitely, like Pi.
y/4 - 4 = 3
Two Step Equation
Answer:
28
Step-by-step explanation:
y/4-4 =3 /×4
y-16 =12
y =12 +16
y=28
28/4 - 4 =3
7 - 4 =3
3=3
The radius, r, of a circle is one-half of the length of its diameter, d. r= r= d + r = d 2 r = d r = d
If the radius is HALF of the diameter, then the expression would be 1/2r=d or d/2=r.
hope it helps!
A rectangular parking lot has a length that is 10 yards greater than the width. The area of the parking lot is 600 square yards. Find the length and the width
Step-by-step explanation:
Let x be the width of the parking lot. Then (x + 10) is the length of the parking lot.
x(x + 10) = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
(x+30)(x-20) = 0
x = 20 or x = -30 (rejected as x must be positive)
Hence the length is 30 yards and the width is 20 yards.
the scale drawing of a rectangular oty park measures 10.0 cm by 50 cm
The scale of the drawing is 145 What is the area in square
meters of the park?
Eine drew the model below of her room and bed. The scale of the model
sin - 2
B
C С
D
Bedroom
2 in.
Bed
Sally identified the terms of the expression 9a + 4b - 18 as 9, 4, and 18. Explain her error.
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
So the terms are 9a, 4b, and 18.
hope it helps!
Answer:
Step-by-step explanation:
For the terms of the expression , Sally has to write coefficients with the variables
Terms: 9a , 4b , - 18
coefficient of b is = 1
Coefficient of a term is the numerical value of the variable
The circumference of a circle is 50.3 ft. Find the radius of the circle in feet rounded
to the nearest whole number. Use 3.14 for T, and enter the number only.
I hope this helps you
Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1
Answer:
c d
Step-by-step explanation:
What is the image of the point (-8,0) after a rotation of 270° counterclockwise
about the origin?
The coordinates of the point (-8,0) after the 270° counterclockwise rotation of the points about the origin will be (0,-8).
What is geometric transformation?It is characterized as the modification of the geometric body's form and coordinates. As a two-dimensional transformation, it is also known as. Rotation, translation, reflection, and gliding translation are only a few of the geometric transformation's conceivable modifications to the geometry.
It is given that the coordinate is (-8,0) and the point is rotated by 270° counterclockwise about the origin
We have to find the coordinates after a rotation of 270° counterclockwise about the origin.
Plot the points and observe the coordinate in the graph for the given condition.
Thus, following a 270° counterclockwise rotation of the points around the origin, the coordinates of the point (-8, 0) will be (0,-8).
Learn more about the geometric transformation here:
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Which multiplication equation can be used to explain the solution to 15 :
5 X 3 = 15
x 15 = 3
45 x š = 15
} x 15 = 5
Answer:
5 x 3 = 15
Step-by-step explanation:
x15 = 3 is impossible, because if you multiplied anything by 15 you wouldn't get 3.
Answer:
5x3= 15
Step-by-step explanation:
Help needed ASAP will give brainliest (Not a test or assignment)
Answer:
variable
numerical expression
constant
coefficient
variable term
like terms
algebraic expression
numerical expression
Step-by-step explanation:
Would you classify 360 as a perfect square, perfect cube, or neither
Answer:
neither is the answer i think
Brainliest for correct answer
Answer:
s = 120
r = 33
t = 33
Step-by-step explanation:
You are solving for the variables r & t & s. Note that it is given that the two parallelograms are congruent with each other.
Make sure that they are facing the same way. Note that DC ≅ GH, AD ≅HE, FE ≅ AB
Solve:
DC ≅ GH; 70 = s - 50
Isolate the variable, note the equal sign, what you do to one side, you do to the other. Add 50 to both sides;
70 (+50) = s - 50 (+50)
s = 70 + 50
s = 120
Solve:
AD ≅ HE
2r = 66
Isolate the variable, divide 2 from both sides:
(2r)/2 = (66)/2
r = 66/2
r = 33
Solve:
FE ≅ AB
t + 50 = 83
Isolate the variable, subtract 50 from both sides:
t + 50 (-50) = 83 (-50)
t = 83 - 50
t = 33
what must be added to ‐213 to get ‐312
n = - 99
Step-by-step explanation:- 213 + n = - 312
n = - 312 + 213
n = - (312 - 213)
n = - 99
A burst of electromagnetic radiation has a frequency of 1 exahertz. One exahertz equals 10^12 megahertz. Each megahertz is equal to 10^6 hertz. What was the frequency of the burst of radiation in hertz? (^ indicates an exponent) *
Answer:
The frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.
Step-by-step explanation:
Since the frequency of the burst of electromagnetic radiation is 1 exahertz, and 1 exahertz = 10¹² megahertz. So, the frequency of radiation is 10¹² megahertz. Also 1 megahertz = 10⁶ hertz. So, 10¹² megahertz = 10¹² × 1 megahertz = 10¹² × 10⁶ hertz = 10¹² ⁺ ⁶ hertz = 10¹⁸ hertz.
So the frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.
2 factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Two percent of the panels from Plant A and 5% of the panels from Plant B we’re defective. How many panels did Plant B produce, if the two plants together produced 1140 defective panels
Answer:
Number panels Plant B produce = 18,000
Step-by-step explanation:
Given:
Plant produces defective panels = 1140
Plant B produce = 5%
Plant A produce = 2%
Find:
Number panels Plant B produce
Computation:
Assume
Number panels Plant B produce = x
Number panels Plant A produce = x - 6000
So
5%(x) + 2%(x-6000) = 1140
0.05x + 0.02x - 120 = 1140
0.07x = 1260
x = 18,000
Number panels Plant B produce = 18,000
HS Algebra
7. What is the solution of the system of equations?
y= -3X + 8
y= -5x - 2
Answer:y=-5x-2
Step-by-step explanation:
Answer:
x=5 y= -7
Step-by-step explanation:
y= -3x +8
-(y= -5x -2)
=> y=-3x+8
-y=5x+2
=> 0=2x+10
=> x=5
=>y=-3(5)+8
=> y= -7
Toni ran 4/5 mile in 1/5 hour. Write an equation for the distance in miles y that she ran in x hours if she ran at a constant rate.
Answer:
y=4x
Step-by-step explanation:
4/5 - 1/5
y - x
1/5y=4/5x
y=4x