The solutions to the equation -2x² + y = -5 and y=-3x² +5 are (√2,-1) and (-√2-1) option third is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have given expressions:
-2x² + y = -5 ..(1)
y=-3x² +5 ...(2)
From the equation (2) take the value of y and plug it in the equation (1)
-2x²-3x²+5 = -5
-5x² = -10
x = ±√2
Plug this value in the equation (2), we get value of y:
y = -1
Thus, the solutions to the equation -2x² + y = -5 and y=-3x² +5 are (√2,-1) and (-√2-1) option third is correct.
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The pool company has learned that, by pricing a newly released Fun Noodle at $5, sales with reach 8000 Fun noodles per day during the summer Raising the price to $6 will cause the sales to fall to 5000 fun noodles per day
A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug
Answer:
24 ft
Step-by-step explanation:
to find the perimeter of rug is you have to add 9+9+3+3= 24
How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0
Answer:
For this case we have the following polynomial.
We note that the polynomial graph cuts only the vertical axis at one point.
The graph has no other cut points on the x axis
Therefore, the polynomial has:
6 complex solutions
0 real solution
Step-by-step explanation:
what's the value of X?
Answer:
x=55
Step-by-step explanation:
since it’s a right angle do 90*-35*=55*
Hope this helps! ;-)
What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8
Answer:
The coefficient of x is 2.
Step-by-step explanation:
1) Add the numbers
7y + 4x + 4 - 2x + 8
7y + 4x + 12 - 2x
2) Combine like terms
7y + 4x + 12 - 2x
7y + 2x + 12
3) Rearrange items
7y + 2x + 12
2x + 7y + 12
Sequence of 2,-6,-14,-22 determine the n term
Answer:
[tex]a_{n}[/tex] = - 8n + 10
Step-by-step explanation:
the sequence has a common difference between consecutive terms , that is
- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 8 , then
[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10
What would the graph of f(x)=2arcsin (x-4)+1, look like?
The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.
We have given that the function
f(x)=2 arcsin (x-4)+1,
We have to determine the graph of f(x)
Therefore we gave
Graph
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
What are the coordinates of the graph?
An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.
The numbers x and y in the ordered pair (x, y) are called coordinates.
We find the coordinate of the given graphs and draw a graph of the given function.
x f(x)
3 −π−1
7/2 −π/3−1
4 −1
9 2π/3−1
5 π−1
Therefore the graph of the given function is
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Whát are the quotient and remainder of (x^5-x^3 +1-5) / (x - 2)?
a. x + 2x2 + 9x + 13; 21
x + 2x2 + 3x + 6x + 13; -21
b. x + 2x + 3x2 + 6x + 13; 12
d. + 2x2 + 3x2 + 6x + 13:21
Answer:
x⁴+2x³ +3x²+6x +12r is the answer
write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"
Answer:
[tex]y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]
In order to find equation:
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}[/tex]
[tex]\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}[/tex]
[tex]\rightarrow \sf slope: -\dfrac{5}{6}[/tex]
Then find equation using:
y - y1 = m(x -x1) where (x1, y1) are points, m is slope
[tex]\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)[/tex]
[tex]\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17[/tex]
[tex]\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]
A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Answer:
See Below
Step-by-step explanation:
Initial cost = $52
Markup for operating expenses = 34%
$52 + 34% = $52*1.34 = $69.68
Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)
a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86
c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)
d) The absolute loss:
$69.68 - $48.86 = $20.82
HELPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!
Isosceles and equilateral triangles
Solve for X
Answer:
11
Step-by-step explanation:
48 = 4x + 4 two of its angles are equal in measurement
- 4 - 4
44 = 4x
---- ----
4 4
11 = x
I really need help with this.
Answer:
300 cm cubed or 300 cm^3
Step-by-step explanation:
(b x h ) / 2 = Area of triangle
5 x 12 = 60
60 / 2 = 30
Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.
30 x 10 = 300 cm cubedor 300 cm^3
Answer:
1/2BA*2+l*w
1/2*12*5*2+10*13+12*10+10*5
=360cm
in a certain triangle angle c is 40 degrees more than the sum of the measure of angle a and angle b. the measure of angle a is 20 degrees less than the measure of angle b. find the measure of each angle
Step-by-step explanation:
the sum of all angles in a triangle is always 180°.
angle c = angle a + angle b + 40
angle a = angle b - 20
angle a + angle b + angle c = 180
using the second equation in the first :
angle c = (angle b - 20) + angle b + 40 = 2×angle b + 20
using this and the second equation in the third equation :
(angle b - 20) + angle b + (2×angle b + 20) = 180
4×angle b = 180
angle b = 45°
angle a = angle b - 20 = 45 - 20 = 25°
angle c = angle a + angle b + 40 = 25 + 45 + 40 = 110°
In "The Emperor's New Clothes" what does the opening tell you about the narrator?
A. second person narrator
B. third person narrator
C. no narrator
Answer:
third person
Step-by-step explanation:
) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will
your total return be?
The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]
Hence,the total amount of return will be 5611.8573.
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f(x) = x² + 2x − 3
Find f (2)
f(2) is equal to type your answer...
Answer:
f(2) = 5
Step-by-step explanation:
Given: f(x) = x² + 2x - 3
We are asked to find the value of the function when x = 2.
In the function, substitute 2 as the value of x and simplify:
f(2) = (2)² + 2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
When x is equal to 2, the value of the function is 5.
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Does the pair of ratios form a proportion?
85 , 42
18 9
Answer:
Not Proportional
Step-by-step explanation:
85:42 :: 18:9
85 x 9 = 42 x 18
765 = 776
They are not equal, so they cant be proportional.
Please help! Algebra 2
[tex]y = \sqrt[3]{x - 8} [/tex]
When translating the function in the positive x direction, we have to subtract the value from x
Could you help me with this for 50? points.
Round 0.675 to the nearest tenth
Answer:
0.70
Step-by-step explanation:
it’s 0.70 because the 0.675 is rounded
The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.
Answer:
0.70
Consider the rounding rule for each place.
6 ≈ next tenths
7 ≈ next tenths
5 ≈ next tenths
This is because...
Below 5? Round down.5? Round up.More than 5? Round up.Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
HELP PLS
The function of F is defined by f(x)=x+2
find F(n-4)
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = x + 2
The value of f(n - 4) is given as:
f(n - 4) = n - 4 + 2 = n - 2
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
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Find the slope of the line that passes through the following two points. (1,0) and (3,0)
y = - 0
The line is horizontal.
James ordered a $10.20 meal and Mark ordered a $9.50 meal. If the sales tax is 7% and they leave a 15% tip on the price of the meal including tax, then what was the tota!?
Answer:
The total cost of the meal is $24.24
Step-by-step explanation:
Step 1: Combine the two meal costs.
10.20 + 9.50 = 19.70
Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70
19.70 * 0.07 = 1.379
19.70 + 1.379 = 21.079
They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185
Add 3.16185 to 21.079
This equals 24.24085
Round down to $24.24
. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j
put values
5(-i+2j)+8(-3i+4j)Do like you do algebraic addition
-5i+10j-24i+32j-5i-24i+10j+32j-29i+42jOption A
Help. Please and thanks.
Answer:
(2,6)
Step-by-step explanation:
What is a dilation?
A dilation is a type of transformation that resizes an object.
To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor
Applying the dilation rule
We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2
Current coordinates of the triangle :
A(1,1) B(1,3)C(3,1)Coordinates after dilation
A' = (1,1) ===> (1×2,1×2) ===> (2,2)
B' = (1,3) ===> (1×2,3×2) ===> (2,6)
C' = (3,1) ===> (3×2,1×2) ===> (6,2)
The coordinate of the vertex B after the dilation is (2,6)
What is the probability that a subject selected at random from the above survey is a man or agrees with the survey statement?
a) 2/3
b) 21/50
c) 18/25
d) 7/40
Answer:
c) 18/25
Step-by-step explanation:
The total of all votes is 1000.
The total of all 'agree' votes is 420.
Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.
From there we simplify 720 / 1000 -> 18 / 25
what is the mean age of a girl on the swimming team?
Answer:
15Step-by-step explanation:
what is the mean age of a girl on the swimming team?
adding the number of girls together and then dividing by the number of girls
(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =
107 : 7 = 15.28 (you can round at 15)
Are a 10-degree angle and a 65-degree angle complementary
angles?
Are a 40-degree angle and a 50-degree angle
complementary angles?
Are a 140-degree angle and a 40-degree angle
supplementary angles?
Are a 120-degree angle and a 60-degree angle
complementary angles?
Answer:
Complementary angles means sum of angles must to 90 degrees.
Supplementary angles means sum of angles must be 180 degrees.
1.
10 degree + 65 degree = 75 degree
10 degree + 65 degree ≠ 90 degree
So, 10-degree angle and a 65-degree angle are
not complementary angles.
2.
40 degree + 50 degree = 90 degree
So, 40-degree angle and a 50-degree angle are
complementary angles.
3.
140 degree + 40 degree = 180 degree
So, 140-degree angle and a 40-degree angle are
supplementary angles.
4.
120 degree + 60 degree = 180 degree
120 degree + 60 degree ≠ 90 degree
So,120-degree angle and a 60-degree angle are
not complementary angles
