The Equation in terms of m, m^2+7m+10=0
What is substituting in the equation ?
substituting means changing or replacing the values in the given equation.
Calculation:
Given equation is (x^2+3)^2+7x^2+21=-10
and m= X^2 + 3.
make the given equation in the form X^2 + 3,
now,
(x^2+3)^2+7x^2+21=-10
(x^2+3)^2+7(x^2+3)=-10
where,
X^2 + 3= m
after putting the value or replacing the values
we get, m^2+7m=-10
m^2+7m+10=0
the above equation is in the form of "m".
The Equation in terms of m, m^2+7m+10=0
Leran more about substitution here:
https://brainly.com/question/24094293
#SPJ1
Answer:
m^2+7m+10=0
Step-by-step explanation:
Give brainly lol
which of the following statements is true about the solution of the system? 2x-y=8 and y=2x-3
Answer:
no roots.
Step-by-step explanation:
[tex]\left \{ {{2x-y=8} \atop {y=2x-3}} \right. \ = > \ \left \{ {{2x-y=8} \atop {2x-y=3}} \right. \ = > \ no \ solution.[/tex]
Solve the inequality for x.
5x-39-3(6-4x)
Simplify your answer as much as possible.
Answer:
= 5x-39-18-12x
=5x-12x-39-18
=-7x-57
1. There are 50 contestants signed up for a TV show. There are 36 more female contestants than male contestants. How many female contestants have signed up to compete? Show your solution and explain how you plan to explain this to your students.
The number of female contestants who signed up to compete is; 43.
What is the number of female contestants?Let number of females = x
Let number of males = y.
Hence, it follows from the task content that;
x+y = 50
x-y = 36.
Hence, by adding both equations together in a bid to determine the number of females; we have;
2x = 86
x = 43.
Read more on simultaneous equation;
https://brainly.com/question/148035
#SPJ1
use long division to convert 3/10 into decimals.
Answer:
3/10 as a decimal is expressed as 0.3.
A jar of tickets for a drawing contains 22 winning tickets and 63 non-winning tickets. What are the odds against winning in the drawing? please help
Answer: 22/85
Step-by-step explanation:
Answer:
22/85
Step-by-step explanation:
3. Consider the equation 2x² + 4y² + 8x - 16y + F = 0. Find all values of F such that the graph of the equation is a) an ellipse b) a point - ellipse
The equation 2•x² + 4•y² + 8•x - 16•y + F = 0, at a value of F is the graph of an ellipse when we have;
a. A value of F that results in the equation of an ellipse is; F = 23
b. A point on the ellipse is ((-2), 2.5)
Which method can be used to find the value of F that gives the graph of an ellipse?The equation of an ellipse can be presented as follows;
[tex] \frac{(x - h) ^{2} }{ {a}^{2} } + \frac{(y - k) ^{2} }{ {b}^{2} } = 1[/tex]
The given equation can be presented as follows;
2•x² + 4•y² + 8•x - 16•y + F = 0
Collecting like terms, gives;
2•(x² + 4•x) + 4•y² - 16•y + F = 0
Adding a constant value to both sides, we get;
2•(x² + 4•x + 4) + 4•y² - 16•y + 16 + F = 24
2•(x + 2)•(x + 2) + (2•y - 4)•(2•y - 4) + F = 24
2•(x + 2)² + 4•(y - 2)² + F = 24
2•(x + 2)² + 4•(y - 2)² + F - 23 = 24 - 23 = 1
When F = 23, we have;
2•(x + 2)² + 4•(y - 2)² + 23 - 23 = 1
2•(x + 2)² + 4•(y - 2)² = 1Which gives;
[tex] \mathbf{\frac{(x + 2) ^{2} }{ \left( {\frac{1}{ \sqrt{2} }} \right)^{2}} + \frac{(y - 2) ^{2} }{ \left( {\frac{1}{ 2} } \right)^{2}} } = 1[/tex]
Where;
a = 1/(√2)b = 1/2b) A point on the ellipse can be found as follows;
2•(x + 2)² + 4•(y - 2)² = 1When x = -2
2•((-2) + 2)² + 4•(y - 2)² = 1
0 + 4•(y - 2)² = 1
y - 2 = √(1/4) = 1/2
y = 2 + 1/2 = 2.5A point on the ellipse is therefore;
((-2) , 2.5)When y = 2
2•(x + 2)² + 4•(2 - 2)² = 1
2•(x + 2)² + 0 = 1
2•(x + 2)² = 1
(x + 2)² = 1/2
x + 2 = √(1/2)
x = √(1/2) - 2
Another point on the ellipse is therefore;
((√(1/2) - 2), 0)
Learn more about the equation of an ellipse here:
https://brainly.com/question/16904744
#SPJ1
An equestrian club orders magazine subscriptions for new members.
Last year they had 32 new members and spent $624 on subscriptions.
Use the equation 32m = 624 to find the cost of each subscription.
Enter your answer in the box.
Answer:
$19.50
Step-by-step explanation:
Dividing both sides by 32, we get $19.50.
For f(x) = 2x + 1 and g(x) = x² - 7, find (f+ g)(x).
Answer:
(f + g)(x) = x² + 2x - 6
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 1 + x² - 7 ← collect like terms
= x² + 2x - 6 ← in standard form
I need help with this geometry question asap!
No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.
When are Two Lines Proven to be Parallel to each other?Two lines that are cut across by a transversal can be proven to be parallel to each other if:
The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].The corresponding angles along the transversal and on the two lines are congruent [corresponding angles theorem].Thus, given the following information:
m∠2 = 115°
m∠15 = 115°
With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.
In summary, we can conclude that:
D. None of the options are correct.
Learn more about the Parallel lines on:
https://brainly.com/question/16742265
#SPJ1
(c) Use a calculator to verify that Σ(x) = 64, Σ(x2) = 1118, Σ(y) = 628, Σ(y2) = 87,982, and Σ(x y) = 9,627.
Compute r. (Enter a number. Round your answer to three decimal places.)
The correlation based on the computation is 0.97.
How to compute the value?It should be noted that the question is that we should simply calculate the correlation which is r.
The correlation will be:
= Σ(x y) / (Σ(x²) × Σ(y²)
= 9627/✓(1118 × 87982)
= 9627 ✓98363876
= 9627/9917.86
= 0.97
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
Please help to solve these 3 questions
Based on the number of goals scored in the football matches, the mode is 4 goals. The median is 3 goals and the mean goals scored is 2.6 goals.
What are the statistics from the football matches?The mode is the number of goals that was scored in the most matches. This number is 4 goals as this was scored in 6 matches.
To find the median, order the numbers:
0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6
The median is:
= (3 + 3) / 2
= 3
The mean is:
= (0 + 0 + 0 + 0 + 1 + 1 + 2 +2 +2 + 3 + 3 + 3 + 4 + 4+ 4 + 4 +4 + 4 + 5 + 6) / 20
= 2.6 goals
Find out more on mean at https://brainly.com/question/1136789
#SPJ1
> Function g can be thought of as a translated (shifted) version of Y f(x) = x².
Using translation concepts, function g(x) is given as follows:
g(x) = x² - 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:
g(x) = x² - 3.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
the center of a circle is on the line y=2x and the line x=1 is tangent to the circle at (1,6).find the center and the radius
The radius and the center of the circle are 4 units and (1,2), respectively
How to determine the center and the radius?The center of the circle is on
y = 2x and x = 1
Substitute x = 1 in y = 2x
y = 2 * 1
Evaluate
y = 2
This means that the center is
Center = (1, 2)
Also, we have the point of tangency to be:
(x, y) = (1, 6)
This point and the center have the same x-coordinate.
So, the distance between this point and the center is
d = 6 - 2
d = 4
This represents the radius
Hence, the radius and the center of the circle are 4 units and (1,2), respectively
Read more about circle equation at:
https://brainly.com/question/10618691
#SPJ1
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer:
a: Angle EBD
b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD
c: Arc EDC
d: 80 degrees
e: 180
Step-by-step explanation:
An inscribed angle is an angle with all 3 points on the circumference of a circle.
A semicircle is half a circle
A major arc is an arc greater than 180 degrees
The inner angle is 80 degrees
Arc BCD is half a circle so its 360/2=180 degrees
2) Put the following numbers in order from
greatest to least.
6.05, 6.007, 6.5, 6.25
Answer: 6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.
6.5, 6.25, 6.05, 6.007
Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.
2 is the second biggest number out of all that are underlined, so 6.25 goes second.
However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.
6.05, 6.007
Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.
Hence, the order is 6.5, 6.25, 6.05, 6.007
Find the surface area of this cone.
60π m2
20π m2
36π m2
54π m2
The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The surface area of a cone with radius (r) and slant height (l) is:
S.A = πr(r + l)
Given that r = 4, l = 5, hence:
S.A = π(4)(4 + 5) = 36π m²
The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer:
36π m2
Step-by-step explanation:
The wheel of the average bicycle is 28 inches in diameter. How many feet will be covered in 9
turns of the wheel?
Answer:
Approximately 66 feet
Step-by-step explanation:
Given d = 28 inFind the circumference:
C = πd = 3.14*28 = 87.92 inFind the distance covered by 9 turns:
9C = 9*87.92 = 791.28 inConvert inches to feet:
1 foot = 12 in791.28 in = 791.28/12 ft = 65.94 ft ≈ 66 ftWhich of the following is most likely the next step in the series
Answer:
A
Step-by-step explanation:
The pattern is quadrilateral (4-gon), pentagon (5-gon), and hexagon (6-gon). Therefore the next figure would be a heptagon (7-gon).
Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
Answer: 46.48 m²
Step-by-step explanation:
this question was answered already, go search it up
What is the total length of all meteors that are 1 6/8 inches?
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
The total length of all meteors that are 1 6/8 inches is three and four-eighths inches.
What is the total length of all meteors?Given :
Tick 1 exists 2/8 (1 data point)
Tick 2 exists 3/8 (3 data points)
Tick 3 exists 4/8 (2 data points)
Tick 4 exists 5/8 (no points)
Tick 5 exists 6/8 (2 data points)
Tick 6 exists 7/8 (no data points)
Tick 2 exists 3/8 (3 data points)
....
Tick 13 exists [tex]$1\frac{6}{8}[/tex] (2 data points)
Therefore, total length of all meteors that exist [tex]$1\frac{6}{8}[/tex] inches :
Length of meteor = [tex]$1\frac{6}{8}[/tex]
Number of meteors = 2
[tex]$(2 * 1\frac{6}{8}) = 2 * 1\frac{4}{8} = \frac{28}{8} = 3 \frac{3}{8} = 3 \frac{1}{2}[/tex]
Therefore, the correct answer is option A. three and four-eighths inches
To learn more about the total length refer to:
https://brainly.com/question/21921440
#SPJ9
The complete question is :
What is the total length of all meteors that are 1 6/8 inches? A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
A) three and four-eighths inches
B) three and five-eighths inches
C) four and seven-eighths inches
D) three and seven-eighths inches
Select the solution to the following system of equations:
4x + y = 6
2x - 3y = -4
The solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)
Simultaneous linear equationsFrom the question, we are to solve the given system of equations
The given system of equations is
4x + y = 6 -----------(1)
2x - 3y = -4 -----------(2)
From the equation (1)
4x + y = 6
y = 6 - 4x ----------(3)
Substitute the value of y into equation (2)
2x - 3y = -4
2x -3(6 - 4x) = -4
2x -18 +12x = -4
2x + 12x = -4 + 18
14x = 14
x = 14/14
x = 1
Substitute the value of x into equation (3)
y = 6 - 4x
y = 6 - 4(1)
y = 6 - 4
y = 2
Hence, the solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)
Learn more on Simultaneous linear equations here: https://brainly.com/question/13729904
#SPJ1
Simplify: Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot
The solution of the given expression is 9*[tex]x^{4}[/tex]/100.
GIven an expression equal to 27[tex]x^{12}[/tex]/300[tex]x^{8}[/tex].
We have to simplify the expression in which variable comes only once.
Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.
The given fraction is 27[tex]x^{12}[/tex]/300[tex]x^{8}[/tex].
When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.
=27[tex]x^{4}[/tex]/300
Now divide numerator an denominator by 3.
=9[tex]x^{4}[/tex]/300
Hence the expression 27[tex]x^{12} /300x^{8}[/tex] will look like [tex]9x^{4} /100[/tex] after simplifying.
Learn more about expression at https://brainly.com/question/723406
#SPJ1
Answer:
[tex]Simplify:\sqrt\frac{27x^{12} }{300x^{8} }[/tex]
[tex]O \frac{9}{100}x^{4}[/tex]
✔ [tex]\frac{3}{10} x^{2}[/tex]
[tex]O \frac{27}{300} x^{4}[/tex]
[tex]O\frac{9}{10} x^{2}[/tex]
c= 0.99, x= 14.6, s=0.75, n = 13
Answer:
sorry accidentally posted
Step-by-step explanation:
will update when question comes out
James has $20 in his wallet and makes $10 per hour. Kelly has $50 in her wallet but only makes $8 per hour.
How many hours of work will it take for these two people to have the same amount of money?
Answer:
At 15 hours of work they will be equal.
Step-by-step explanation:
James: y = 10x + 20
Kelly: y = 8X + 50
Set them equal to each other and solve
10x + 20 = 8x + 50 Subtract 8x from both sides of the equation
2x + 20 = 50 Subtract 20 from both sides of the equation
2x = 30 Divide both sides by 2
x =15
.....................
Answer: 5020
Step-by-step explanation:
10^3= 1000
1000*5.02=5020
A ladder is leaning against a building as shown in the
diagram.
How many feet up the side of the building is the top of
the ladder?
ft
10 feet
6 feet
The length of ladder is 30 ft.
How can the feet that made up the side of the building is the top of the ladder be known ?The formula below can be used in solving the problem
Tan (∅)= [tex]\frac{opposite}{adajacent}[/tex]
∅=70°
opposite = BC
Adjacent = 12 ft
70°= opposite/ 12
opposite= 32.96 ft
Therefore, The length of ladder is 30 ft.
NOTE; Since the actual diagram can not be found i solved another on on the same topic
Learn more about Trigonometry on:
https://brainly.com/question/7380655
#SPJ1
CHECK COMPLETE QUESTION BELOW:
Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)
a. 25ft
b. 30ft
c. 35ft
d. 40ft
If you spend $50 (including shipping) at an online store, you recieve a $10 gift card. You want to purchase CDs that cost $12 each. If shipping cost $5, write and solve an inequality to find the number of Cds you must to receive the giftcard.
Four CDs must be bought to receive a gift card from an online store.
How to determine the least number of CDs to be bought to receive a gift card
The total costs are equal to the sum of the shipping cost and the total related to the number of acquired CDs (n). The number of gift cards (m) is equal to the total costs divided by minimum spent money, that is, $ 50. We need to solve the following inequation to find the minimum quantity of CDs:
(12 · n + 5)/50 > 1
12 · n + 5 > 50
12 · n > 45
n > 45/12
n > 3.75
Four CDs must be bought to receive a gift card from an online store.
To learn more on inequalities: https://brainly.com/question/20383699
#SPJ1
D
C
63. If AD 20 centimeters, DC= 15 centimeters,
BC=7 centimeters, and AB = 24 centimeters,
what is the area of quadrilateral ABCD?
A. 66 sq cm
B.
B
117 sq cm
C. 234 sq cm
D.
468 sq cm
The area of the irregular quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)
What is the area of the quadrilateral?
Herein we have a description of an irregular quadrilateral, whose area must be determined by adding the areas of minor quadrilaterals and triangles that are part of it. The area is now determined:
A = 0.5 · (24 cm) · (7 cm) + 0.5 · (15 cm) · (20 cm)
A = 234 cm²
The area of the irregular quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)
Remark
The picture with the quadrilateral is missing and is included as attachment.
To learn more on quadrilaterals: https://brainly.com/question/13805601
#SPJ1
Convert the following equation into slope-intercept form.
7x+y = 7
y = -7x+?
Answer:
y = - 7x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
7x + y = 7 ( subtract 7x from both sides )
y = - 7x + 7 ← in slope- intercept form
Select the correct answer from each drop-down menu. A hot tub is in the shape of a regular pentagon. To the nearest tenth, what is the area of the cover on the hot tub? 4 ft The apothem of the pentagon is approximately ft². ft, and the perimeter of the pentagon is Reset Next ft. Therefore, the area is
Answer:
27.53
Step-by-step explanation:
The apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.
What is Polygon?Polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides
Given,
A hot tub is in the shape of a regular pentagon.
The side of polygon is 4ft.
We need to find the apothem of the pentagon, area and perimeter.
In the middle we will have 360 degrees.
If we divide the polygon to five triangles, then one of the verte will have 36 degree measure.
h=2/tan 36=2.7528
Perimeter of polygon=5 a
a is side of polygon
Perimeter=5×4=20 ft.
Area=1/2 perimeter ×apothem
=1/2×20×2.7528
=27.528 ft²
Hence the apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.
To learn more on Polygons click:
https://brainly.com/question/24464711
#SPJ2