Answers
Answer:
yes because the graph passes the vertical line test
Related Questions
Find the value of x^3 + y^3 + z^3 – 3xyz if x^2 + y^2 + z^2 = 83 and x + y + z = 15
Answers
Answer:
180
Step-by-step explanation:
Consider the equation x + y + z = 15
From algebraic identities, we know that (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
So,
(x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + xz)
From the question, x^2 + y^2 + z^2 = 83 and x + y + z = 15
So,
152 = 83 + 2(xy + yz + xz)
=> 225 – 83 = 2(xy + yz + xz)
Or, xy + yz + xz = 142/2 = 71
Using algebraic identity a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca),
x3 + y3 + z3 – 3xyz = (x + y + z)(x² + y² + z² – (xy + yz + xz))
Now,
x + y + z = 15, x² + y² + z² = 83 and xy + yz + xz = 71
So, x^3 + y^3 + z^3 – 3xyz = 15(83 – 71)
=> x^3 + y^3 + z^3 – 3xyz = 15 × 12
Or, x^3 + y^3 + z^3 – 3xyz = 180
Answered by GAUTHMATH
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.
Answers
Answer:
L=25
W=10
Step-by-step explanation:
Answer:
Width = xLength = 6xUse the perimeter to find x:
[tex]x + x + 6x + 6x = 70\\14x=70\\x=5[/tex]
Therefore,
Width = x = 5Length = 6x = 6(5) = 30The function h is defined by the following rule.
h(x) = 4x-1
Answers
Answer:
-3 -13
-2 -9
2 7
3 11
5 19
Step-by-step explanation:
h(x) = 4x-1
Let x = -3
h(-3) = 4(-3) -1 = -12-1 = -13
Let x = -2
h(-2) = 4(-2) -1 = -8-1 = -9
Let x = 2
h(-2) = 4(2) -1 = 8-1 = 7
Let x = 3
h(3) = 4(3) -1 = 12-1 = 11
Let x = 5
h(5) = 4(5) -1 = 20-1 = 17
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\begin{gathered} \: \: \: \large{\boxed{\begin{array}{c|c}\boxed {\bf {X}} & \boxed {\bf {h(X)}} \\\\ \\ \text{-3} & \sf{-13} \\\\ \text{ -2} &\sf{-9} \\\\ \text{2}& \sf {7} \\\\ \text{3} &\sf {11} \\\\ \text{5} & \sf {19} \end {array}}}\end{gathered}[/tex]
Here,
h(x)=4x-1
h(-2)=4(-2)-1=-9h(-3)=4(-3)-1=-12h(2)=4(2)-1=7h(3)=4(3)-1=11h(5)=4(5)-1=19x + y = 10 . If y = 8, find the value of x
Answers
Answer:
2
Step-by-step explanation:
x + y = 10
y = 8
Substituting in equation,
x + 8 = 10
=>x = 10 - 8
=>x = 2
can i get some help. did it 3 times and still not sure.
Answers
Answer:
18
Step-by-step explanation:
The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):
[tex]\frac{3(1.5)^2(8)}{3}[/tex]
We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.
SOMEONE HELPPP MEEE OUTTT PLEASEEEE!!!
Answers
Answer:
3/5
Step-by-step explanation:
1. Establish the Equation: SinA = [tex]\frac{21}{35}[/tex]
2. simplify [tex]\frac{3}{5}[/tex]
Answer:
sinA = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex]
1. 80 = -10b
2. 6 = 2n
3. -16r = 32
1.
2.
3.
Answers
Answer:
1. - 8
2. 3
3. - 2
Step-by-step explanation:
1.
80 = - 10b
- 10b = 80
b = 80 / - 10
b = - 8
2.
6 = 2n
2n = 6
n = 6 / 2
n = 3
3.
- 16r = 32
r = 32 / - 16
r = - 2
1. b = - 8
2. n = 3
3. r = -16
Step-by-step explanation:
we’re trying to solve for each variable
1. 80 = -10b
Divide both sides by -10
80/-10 = -10b/-10
-8 = b
2. 6 = 2n
Divide both sides by 2
6/2 = 2/2n
3 = n
3. -16r = 32
Divide -16 by both sides
-16r/-16 = 32/-16
r = -16
List the angles in order from the smallest to the largest.
A. T, R, S
B. S, T, R
C. S, R, T
D. T, S, R
Answers
Answer:
A. T,R,Snhjiooooogfderyyffddt
S,R,T
Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)
Answers
Answer:
540$
Step-by-step explanation:
9x9 = 81
9 + 9 + 9 + 9 = 36
36 x 15 =540
Need helppppp asappp
Answers
Find the area of a sector of a circle whose radius is 10 inches and whose
central angle is 52º.
Answers
Step-by-step explanation:
AS=∅πr²/360
where ∅=52°, R=10
AS=52°×π×(10)²/360
AS=14.4π
that is the answer
do you have another question to ask me
Cho góc AOB = 100 độ vẽ OC là tia đối của tia OA , OM là phân giác của góc AOB . Tính góc COM?
Answers
Answer:
130 độ
Step-by-step explanation:
góc BOC= góc AOC-góc AOB
=180°-100°=80°
góc MOB = góc AOB/2=100°/2=50°( vì OM là tia phân giác của góc AOB)
góc COM= góc MOB + góc BOC
= 50° + 80°
= 130°
I need Help!!
A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?
f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(0.6)x, with a vertical asymptote of x = 0
f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(1.6)x, with a vertical asymptote of x = 0
Answers
Answer:
(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
Step-by-step explanation:
The function is in the form
y = a b^x
where a is the initial value and b is the growth (or decay rate)
a = 5000 and b = 40 %
(If we have been given 40 % dies off we would have taken 1-40% or 1- .4)
y = 5000 ( .4) ^x
This has a horizontal asymptote at y = 0 because we will never get to 0 bacteria. There will always be part of a bacterial left
Answer:
f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
Step-by-step explanation:
Edge
Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4.
Answers
point slope form:y-2=4(x+1)
then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form
then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.
Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines.
Answers
Answer:
System of equations
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
[tex](x,y) = (3,2)[/tex] --- solution
See attachment for graph
Step-by-step explanation:
Solving (a): Linear equations with 1 solution
The only condition to this is that, the system must have 1 solution.
Other than that, there is no other condition.
A linear equation is represented as:
[tex]ax + by= c[/tex]
For the equation to have 1 solution;
[tex]a_1 * b_2 \ne a_2 * b_1[/tex]
And example of such equation is:
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
Solving (b): The graph
See attachment for graph
The solution is the point of intersection of both lines of the graph. So, we have:
[tex](x,y) = (3,2)[/tex]
Does anyone know how to do these?
Answers
Answer:
D.
Step-by-step explanation:
f(x) = [tex]\sqrt[3]{4x}[/tex]
g(x) = 2x + 3
[tex]\frac{f}{g}[/tex] (x) = 'f' divided by 'g'
[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex] Substitute.
x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.
That's a no-no.
It makes it 'undefined'
Is the height of these students a function of their wrist circumference?
Yes because as wrist circumference increases height also increases.
O Yes because a line can be fit to these data to predict other pairings.
No because the height of 151 cm is paired with two wrist circumferences.
O No because the wrist circumference of 16 cm is paired with two heights,
Answers
hope this helps
Use a double-angle or half-angle identity to find the exact value of each expression?
Answers
If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.
Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:
tan²(θ) + 1 = sec²(θ) ==> sec(θ) = √(tan²(θ) + 1)
… ==> cos(θ) = 1/√(tan²(θ) + 1)
… ==> cos(θ) = 1/√5
Now, recall the half-angle identity for sine:
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = √[(1 - cos(θ))/2]
==> sin(θ/2) = √[(1 - 1/√5)/2]
==> sin(θ/2) = √[(√5 - 1)/(2√5)]
==> sin(θ/2) = √[(5 - √5)/10]
Please help me with this.. and tell correct answer..
Answers
Answer:
Step-by-step explanation:
55 +80 + ∠C = 180 {Angle sum property}
135 + ∠C = 180
∠C = 180 - 135
∠C = 45
The side opposite to the biggest angle is the longest side
Biggest angle is ∠B. So the longest side is AC
Smallest angle is ∠C. So, the shortest side is BA
Please help!! I have no idea how to do this
Answers
Answer:
i have also no idea but plz mark me as brainlist
In science class, Victor started an experiment using a solution with a temperature of
–
5°C. During the experiment, the change in the solution's temperature was
–
4°C. What was the final temperature of Victor's solution?
To solve the problem, Antonio added
–
5+(
–
4) and came up with an answer of
–
9°C. Is Antonio correct? Why or why not?
Answers
Write the expression as a single function of alpha.
cos(180°-alpha)
Answers
Answer:
-cos α
is the answer-------
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be exactly 3 students on the committee b) there must be at least one teacher and at least one student on the committee (3 marks)
Answers
Answer:
a)[tex]X=3300[/tex]
b)[tex]Y=7770[/tex]
Step-by-step explanation:
From the question we are told that:
Number Teachers [tex]T=6[/tex]
Number Student [tex]S=12[/tex]
Number in committee [tex]n=5[/tex]
a) Generally the equation for exactly 3 students on the committee is mathematically given by
[tex]X=^{S}C_3*^{T}C_3[/tex]
[tex]X=^{12}C_3*^{6}C_3[/tex]
[tex]X=3300[/tex]
b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by
Total Ways-(no of ways of selection no teacher or student)
Where total Ways
[tex]T=^{(6+12)}C_5[/tex]
[tex]T=8568[/tex]
Therefore
[tex]Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5[/tex]
[tex]Y=8568-798[/tex]
[tex]Y=7770[/tex]
Which best explains why these two figures are similar or not similar?Which best explains why these two figures are similar or not similar?
Answers
Answer:
These two figures are not similar because 4/8 does not equal 6/10.
14-8711
Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.
Answers
Answer:
$4,208.5
Step-by-step explanation:
The simple interest rate of the college savings account, R = 5.5%
The amount with which the account was opened, P = $500
The amount added each month to her account = $50
The amount in her account after 4 years = Required
The interest on each added $50 is given as follows;
50 × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50 × 0.055/12 × (47/2)(1 + 47) = 258.5
The total amount deposited = 500 + 50 × 47 = $2,850
The total interest = 500×0.55×4 + 50 × 0.055/12 × (47/2)(1 + 47) = 1,358.5
The amount in her account at the end of 4 years, A, is given as follows
A = $2,850 + $1,358.5 = $4,208.5
(6x^2-4x-5)(2x^2+3x)
Answers
Answer:
[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]
[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]
[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]
[tex]=12x^4+10x^3-22x^2-15x[/tex]
OAmalOHopeO
Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i)4u^2+8u
Answers
Answer:
Hello,
Step-by-step explanation:
Since 4u²+8u=4u(u+2)
Zeroes ={0,-2}
Coefficients={4,8}
But i don't know the relationship.
make u the subject d²+3u=y/x²
Answers
Answer:
[tex]u = \frac{y - (xd) { }^{2} }{3x {}^{2} } [/tex]
Step-by-step explanation:
3u=y/x^2-d^2
3u=y-(xd)^2/x^2
u=y-(xd)^2/3x^2
Yousuf had 117 marbles and Andrew had 23 marbles. Yousuf then gave some of his marbles to Andrew so that Yousuf ended with thrice as many marbles as Andrew. How many marbles did Yousuf give to Andrew?
Answers
Answer:
12
Step-by-step explanation:
117+23=140
140/4 = 35
35-23 = 12
Find the circumference
Answers
Answer:
90 units
Step-by-step explanation:
circumference C = 2 [tex]\pi[/tex]r
taking [tex]\pi[/tex] as 3.
C = 2 × 3 × 15
(15 is the radius of the circle)
C = 90 units
Answer:
90
Step-by-step explanation:
The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.
But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2
