Answer: (x-3)(x-5) = x2 - 8x + 15
The roots will be unchanged by multiplication by 3: 3x2 - 24x + 45
Step-by-step explanation:
Answer:
y = 3x² + 6x - 45
Step-by-step explanation:
given roots x = a and x = b then the factors are (x - a) and (x - b)
then the quadratic is the product of its factors
y = a(x - a)(x - b) ← a is a multiplier
here x = - 5 and x = 3 with a = 3 , then factors are
(x - (- 5)) and (x - 3) , that is (x + 5) and (x - 3) , then
y = 3(x - 3)(x + 5) ← expand factors using FOIL
y = 3(x² + 2x - 15) ← distribute parenthesis by 3
y = 3x² + 6x - 45
Make a reasonable conjecture for the next term in the sequence.
1 4 9 16 25
Answer:
36
Step-by-step explanation:
Each time it goes up it adds the next highest odd number.
1
+3
4
+5
9
+7
16
+9
25
And so we can reasonably assume that the next number in the sequence will be the previous number (25) plus the next highest odd number (11). This means that the next number in the sequence is most likely 36.
Answer:
Ans is 36 ...
Step-by-step explanation:
Well,
lets add these number with odd number
1
3+1=4
5 + 4= 9
7+ 9= 16
9 + 16=25
11 + 25 = 36.........
Hope you will get it.
one-half the product of x and
y
Answer: x*y/2
Step-by-step explanation:
x*y is the product of x and y.
1/2 * x* y is half the product of x and y.
Answer: x*y/2
augustin and edson are going to a baseball game to get to the stadium they travel east on the highway at 120km/hr for 30 minutes then they turn onto the stadium parkway and travel south at 60km/hr for 10 minutes assume their starting point is at the origin what is the position of the stadium
The position of the stadium, given the data is 60 Km east and 10 Km south
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
With above formula, we can determine the position of the stadium. Details below
How to determine the distance travelled in 30 minutesTime = 30 minutes = 30 / 60 = 1/2 hourSpeed = 120 Km/hDistance =?Speed = distance / time
Cross multiply
Distance = speed × time
Distance = 120 × 1/2
Distance = 60 Km east
How to determine the distance travelled in 10 minutesTime = 10 minutes = 10 / 60 = 1/6 hourSpeed = 60 Km/hDistance =?Speed = distance / time
Cross multiply
Distance = speed × time
Distance = 60 × 1/6
Distance = 10 Km south
Thus, we can conclude that the position of the stadium is 60 Km east and 10 Km south
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Sherry will mail a square
photo to her grandma.
The area of the photo is
about 71.4 square inches.
All of Sherry's envelopes
are perfect squares.
What's the length of one
side of the smallest
envelope she can use?
Answer:
Take the root
Step-by-step explanation:
Area of the square equal
[tex] {x}^{2} [/tex]
Then the side length of the pictures equal
[tex] \sqrt{71.4 } [/tex]
The result will be 8.44
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit. What is the volume of the following sphere? Round your answer to the nearest cubic meter.
Option D) is the correct option. That is the volume of the sphere is
3054 mm³.
The formula for the volume of the sphere is given as :
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
where, r = radius of the sphere
V = volume of the sphere
According to the question we have been given that
radius of the sphere, r = 9mm
Putting the required value in the above formula we get
[tex]V = \frac{4}{3} \pi 9^{3} \\ = \frac{4}{3} \ (\frac{22}{7} ) (729) \\[/tex]
V = 3054.85 mm³ ≈ 3054 mm³
Hence the volume of the sphere is 3054 mm³. That is option D) is correct.
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(01.05 LC)
Which of the following is an equivalent form of the compound inequality -22 > -5x - 7≥-33?
O-5x-7<-22 and -5x - 72 -33
O-5x-7-22 and -5x - 72-33
O-5x > -22 and -7 ≥-33
O-5x-7<-22 and -5x - 7 ≤-33
The equivalent form of the compound inequality -22 > -5x - 7≥-33 is -22 > -5x - 7 and -5x - 7≥-33
Inequality:
A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals the existence of an inequality when one of the values is less than, larger than, or equal to the value on the opposite side of the equation.
Given inequality is -22 > -5x - 7≥-33
The equivalent inequality is -22 > -5x - 7 and -5x - 7≥-33
Therefore,The equivalent form of the compound inequality -22 > -5x - 7≥-33 is -22 > -5x - 7 and -5x - 7≥-33.
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3. Omar runs around the edge of a circular park 6 times every morning. The park has an area of .02 square miles. How far does Omar run each morning?
Omar runs 0.9577 miles each morning .
Circumference of circle or perimeter of the circle is that the measure of the boundary of the circle whereas the world of circle defines the region occupied by it which is given by A = πr² where "r" is the radius of the circle.If we tend to open a circle and create a line out of it, then its length is that the circumference which is given by C = 2πr where "r" is the radius of the circle.It's typically measured in units, like cm or unit m.It is given that area of the circular park is .02 square miles .
Using area formula , we get
0.02 = πr²
0.02 = 3.14r²
0.0063 = r²
0.079 = r
Omar run each morning = 6 × Circumference of circle
= 6 × 2πr
= 12 × 0.079
= 0.9577 miles
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what is 4 less than 1
Answer:
±3
Step-by-step explanation:
4 - 1 = 3
1 - 4 = -3
Either way you subtract them, the answer is still 3, whether negative or positive.
Find the coordinates of the midpoint of a segment with the given endpoints
(-4, -7), (12, -6)
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
The time Emma should take for the run must be less than 15 minutes to bear her previous record.
What is referred as the inequality?The expression 5x - 4 > 2x + 3 resembles an equation, but the equals sign has been replaced through an arrowhead. It's an example of inequity. This means that the left part, 5x - 4, is larger than the right part, 2x + 3. We'll be looking for x values where the inequality holds true.Emma's previous record was 1 hour and 10 minutes. This is equivalent to
60+10 minutes equals 70 minutes.
She already has run 55 minutes;
So, let us consider the remaining time, x, added to 55, must be less than 70 to overcome her previous time:
x + 55 < 70
The inequality is obtained.
Subtract 55 from each side:
x + 55-5 < 70-55
x < 15
Therefore, the remaining time of the run by Emma must be less than 15 minutes to beat her previous record.
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1. State the operation used to solve the following
equation.
x-7 = 15
Answer: Addition
Step-by-step explanation:
x-7 = 15
x-7+7 = 15+7 ==> Addition
x=15+7
x=22
geometry -someone help me do this thx
The coordinate of point P is (7/2, -13)
Midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as shown below:
M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2}
Given the coordinate points A(-4, 2) and B(3, -6) divided in the ratio 2:5, then;
M(x, y) = {(2(-4)+5(3))/2, (2(2)+5(-6))/2}
M(x, y) = {-8+15)/2, (4-30)/2}
M(x, y) = {7/2, (-26)/2}
M(x, y) = (7/2, -13)
Hence the coordinate of point P is (7/2, -13)
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Jenny traveled to Louisville at 68 miles per hour. On the way back she took the scenic route and drove 56 miles per hour. The way back was 17 miles longer and took one hour longer to drive than the way to Louisville.
a) How many hours did it take to drive to Louisville
b) How long is the scenic route from Louisville.
The hours did it take to drive to Louisville-3.25 hours
The long is the scenic route from Louisville. 237miles
Jenny traveled to Louisville at 68 miles per hour
Let d is the distance travelled to Louisville and t is the time taken.
68= d/t
On the way back she took the scenic route and drove 56 miles per hour.
distance of way back= d+ 17
time taken=t+1
56=(d+17)/(t+1)
on solving both the equations
t=3.25 hours
d=221miles
scenic route from Louisville is at d+17= 237miles
In everyday use and in kinematics, the velocity (generally called v) of an object is the significance of the trade of its role through the years or the significance of the alternate of its position in step with unit of time; it's miles as a result a scalar quantity.
[1] The average velocity of an item in an interval of time is the gap travelled by using the object divided by using the duration of the interval
[2] the on the spot pace is the restrict of the average velocity as the period of the time c programming language procedures zero. speed isn't similar to pace.
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f has a range of (-infinaty, 7),
and a graph that is symmetric
about the line x = 3, and has a
Y-intercept of 4
Answer:
[tex]f(x)=-|x-3|+7[/tex]
Step-by-step explanation:
The parent function of an absolute function is the modulus function:
[tex]f(x)=|x|[/tex]
Graph of Modulus function:
(see 2nd attachment)
[tex]f(x)=|x|=\begin{cases} \textsf{\:\:\:$x$, \quad if $x\geq 0$}\\\textsf{$-x$, \quad if $ x < 0$} \end{cases}[/tex]
Its vertex is at the origin (0, 0).
Its line of symmetry is x = 0.
It opens upwards.
Given information:
Range: (-∞, 7)Axis of symmetry: x = 3y-intercept: (0, 4)The axis of symmetry is the x-value of the vertex of an absolute function.
The y-value of the range is the y-value of the vertex of an absolute function.
Therefore, the vertex of the absolute function f(x) is (3, 7).
Graphing
Plot the vertex at (3, 7) and the y-intercept at (0, 4).As the function f(x) has a range of (-∞, 7), it opens downwards. Draw a straight line through the y-intercept that terminates at the vertex.Draw a line that is symmetrical to this line.To find the equation of the absolute function, work out the series of transformations that take the parent function to the given function.
As the function f(x) has a range of (-∞, 7), it opens downwards. Therefore, the parent function has been reflected in the x-axis:
[tex]\implies -f(x)=-|x|[/tex]
As the function f(x) is symmetric about the line x=3, the parent function has been translated 3 units to the right:
[tex]\implies -f(x-3)=-|x-3|[/tex]
Finally, as the highest y-value of the function is y = 7, the y-value of its vertex is y = 7. Therefore, the parent function has been translated 7 units up:
[tex]\implies -f(x-3)+7=-|x-3|+7[/tex]
Therefore, the equation of the absolute function with the given parameters is:
[tex]f(x)=-|x-3|+7[/tex]
What is the following product?
47 47 47.47
The product of the given equation for the fourth root is 7.
What is defined as the 4th root?The 4th root of an amount is the number that, when multiplied four times by itself, yields the original number.
In other words, the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root of the square root. In addition, the fourth root is demonstrates the idea by multiplying the radical by 4, i.e. 4√.A number that is a square root of 4 has a result of 4 when multiplied by itself. There are two numbers which will work: 2×2=4 and −2×−2=4 which means that the numbers 2 and 2 are square roots of 4.For, the given question;
= ⁴√7 × ⁴√7 × ⁴√7 × ⁴√7
This equation can be written as;
=(⁴√7)⁴
Further writing the fourth root in terms of fraction;
= (7)∧(1/4)×4
Both power will cancel each other.
= 7
Therefore, the product of the fourth root is found as 7.
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The correct question is-
What is the following product?
⁴√7 × ⁴√7 × ⁴√7 × ⁴√7
A partir del siguiente plano se harán dos maquetas de una sala de concertos: para construir la primera, cada dimensión se dividira entre 24, y para la segunda, entre 5.6
helo asapp THANK YOUUU
Answer:
(-2 , 0)
Step-by-step explanation:
The solution to this system of equations is the x and y values where the two lines cross. That is where x is -2 and y is 0. You can check/verify by putting these x and y values into the original equations.
What is five half’s multiplied by three twentieths?
Answer:3/8
Step-by-step explanation: ok so go to calculator soup and go to calculators then go fractions it's the first one then click on a thing that says fractions then type in problem and show answer hope this helps and remember your awesome and have great day and the name is kirsten michelle baker.
will give Brainly please help I don’t understand look at the picture
The G.P.A of the student with the given grades is 2.7875
How to compute the GPA of a Student?We are told that the grades that the student had are as follows;
2.8 in a 5 credit math's course
2.4 in a 3 credit music course
3.1 in a 5 credit chemistry course
2.9 in a 5 credit journalism course
Thus, the G.P.A can be calculated as;
[(2.8 * 5) + (2.4 * 3) + (3.1 * 5) + (2.9 * 5)]/(5 + 3 + 5 + 5)
= (14 + 7.2 + 15.5 + 7.9)/16
= 44.6/16
= 2.7875
Thus, we conclude that the G.P.A of the student with the given grades is 2.7875
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What inequality is represented by the number line graph?
Answer:
An open circle indicates "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to". This number line includes values that are less than or greater than or equal to .
Step-by-step explanation:
Which means it would be B. Or D.
Solve for x.
14.25=x−19.15
Answer:
33.4 is x.
Step-by-step explanation:
Hope this helps!
point A bisects LS BC. If LS BA=6x-3 and LS AC= 3x+7. Solve for X. PLS ANSWER QUICKLY!!!
Based on the bisection of line BC by point A, the value of x is 10/3
How to determine the value of x?The given parameters are:
Point A bisects BCBA = 6x - 3 AC= 3x + 7Because the point A bisects BC, then
BA = AC
Substitute the known values in the above equation
So, we have
6x - 3 = 3x + 7
Collect the like terms
6x - 3x = 3 + 7
Evaluate the like terms
3x = 10
Divide both sides of the equation by 3
x = 10/3
Hence, based on the bisection of line BC by point A, the value of x is 10/3
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ASAP. Please help me with 63 please. I will give an Brainly and bunch of extra points to whoever answers it right please.
i believe this is correct hope it helps
Damian is monitoring the temperature of the swimming pool. It is currently 86.8 and cooling 0.5 per minute. After how many minutes will swimming pool be 80.8
need equation
Answer:
I think 12 minutes
Step-by-step explanation:
What is 3 x
3,280
328
32.80
3x (10) + 2x (100) + 8x (1.000)
0.328
written in standard form?
Answer:
I have no clue
The. Radius of a quarter circle is 2 what is the area
Radius of a quarter circle is 2 then area is the π
Area of quarter circle is [tex]= (A = \pi r^2/4)[/tex]
A circle is a locus (collection) of points that are a defined distance apart from one another. The fixed point and fixed distance are referred to as the "center" and "radius," respectively. A quarter-circle is one-quarter of a circle. As a result, the area of a quarter circle is one-fourth of the size of a full circle.
A quarter circle is the area (or part) created by two perpendicular radii and one-fourth of the circumference of a circle. This is also known as a circular quadrant. For example, if a circle is divided into four equal pieces, each half is a quarter circle (or) a quadrant.
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When a person is driving, their eyes see a fallen tree in the road. This sends a message to the brain, which then sends electrical signals to their motor neurons, but their muscles don't react. Why did this happen?
*
3 points
1.Their motor neurons are damaged, so their muscles don't react/move causing the person to hit the tree.
2.Their sensory neurons are damaged, so their muscles don't react/move causing the person to hit the tree.
3.Their eyes are damaged, so their muscles don't react/move causing the person to hit the tree.
4.Their muscles are damaged, so their muscles don't react/move causing the person to hit the tree.
10 POINTS AND BRAINLIEST
Answer:
1. their motor neurons are damaged,so their muscles don't react/move causing the person to hit the tree
The sales tax in Minnesota is 7%. How much tax would there be on a chair that costs $145.34?
Answer:
$10.17
Step-by-step explanation:
145.34×7%= $10.17 in tax
Which brings total cost to $155.51
f(x) = -x + 7
g(x) = x² - 4x + 4
Find: (gof)(x)
Answer:
[tex](g \circ f)(x) = x^2-10x+25[/tex]
Step-by-step explanation:
Given:
[tex]\begin{cases}f(x)=-x+7\\g(x)=x^2-4x+4 \end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The composite function (g o f)(x) means to substitute the function f(x) in place of the x in function g(x).
[tex]\begin{aligned} \implies (g \circ f)(x) & = g\left[f(x)\right]\\& = g(-x+7)\\& = (-x+7)^2-4(-x+7)+4\\& = (-x+7)(-x+7)+4x-28+4\\& = x^2-14x+49+4x-28+4\\& = x^2-14x+4x+49-28+4\\& = x^2-10x+25\end{aligned}[/tex]
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Answer:
x² - 10x + 25
Step-by-step explanation:
The given information is,
→ f(x) = -x + 7
→ g(x) = x² - 4x + 4
The equation we form is,
→ (gof)(x)
→ g[f(x)]
→ f(x)² - 4f(x) + 4
Let's solve the problem,
→ f(x)² - 4f(x) + 4
→ (-x + 7)² - 4(-x + 7) + 4
→ x² - 14x + 49 + 4x - 28 + 4
→ x² - 10x + 25
Hence, answer is x² - 10x + 25.
suppose that a box contains 6 cameras and that 4 of them are defective
The random variable x, which represents the number of defective cameras in the sample, is x = 0, 1, 2
What is random variable?A random variable is a variable with an unknown value or a function that gives values to each outcome of an experiment. A random variable might be discrete (with discrete values) or continuous (with continuous values) (any value in a continuous range).
According to the given data:The box contains two malfunctioning cameras.
The random variable, x, represents the sample space for the number of malfunctioning cameras that can be chosen;
The outcomes are:
Both cameras are faulty; x = 2
One is flawed, one is not; x = 1
Both cameras are in good working order; x = 0
This defines that the random variable , x = 0, 1, 2
The random variable x, which represents the number of defective cameras in the sample, is x = 0, 1, 2
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I understand that the question you are looking for is:
Suppose that a box contains 6 cameras and that 4 of them are defective. a sample of 2 cameras is selected at random. define the random variable x as the number of defective cameras in the sample. ( round to two decimal places when needed.)