Answer:
-3 and -9 are the roots.
Step-by-step explanation:
Answer:
x = -9, -3
Step-by-step explanation:
Step 1: Write equation
3x² + 36x + 81 = 0
Step 2: Solve for x
Factor out 3: 3(x² + 12x + 27) = 0Factor quadratic: 3(x + 3)(x + 9) = 0Divide both sides by 3: (x + 3)(x + 9) = 0Solve individual roots: x = -9, -3Step 3: Check
Plug in x to verify it's a solution.
3(-9)² + 36(-9) + 81 = 0
3(81) - 324 + 81 = 0
243 - 243 = 0
0 = 0
3(-3)² + 36(-3) + 81 = 0
3(9) - 108 + 81 = 0
27 - 27 = 0
0 = 0
whats 1 +1 please halp
Answer: 2
Step-by-step explanation: I did it for the points!
A football team receives a 5-yard penalty on one play and a 10-yard penalty on the next. Write a number sentence to represent this situation.
Answer: Total penalty = -5yd + (-10yd) = -15yd
Step-by-step explanation:
A number sentence is any type of equation that represents something:
First, the team receives a 5 yd penalty.
-5yd
Then the team receives another penalty, this time of 10 yd, then we can write the total penalty as the sum of the two penalties.
Total penalty = -5yd + (-10yd) = -15yd
What is the value of the function f left parenthesis x right parenthesis equals 20 x when x equals 0.25?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer is c
The Smelting Department of Kiner Company has the following production and cost data for November. Production: Beginning work in process 2,000 units that are 100% complete as to materials and 20% complete as to conversion costs; units transferred out 9,000 units; and ending work in process 7,000 units that are 100% complete as to materials and 40% complete as to conversion costs. Compute the equivalent units of production for (a) materials and (b) conversion costs for the month of November.
Answer:
a. 16000 units
b. 11800 units
Step-by-step explanation:
A.
To get equivalent units of production for materials
Add up the units transferred out + ending work in progress
= 9000 units + 7000 units
= 16000 units
B.
To get conversion cost for November:
Units that are transferred out + (ending work in progress * % of conversion)
= 9000 + (7000 x 40%)
= 9000 + 2800
= 11800 units
The answers are therefore
1. 16000units
2. 11800 units
You choose one spade, one club, one heart, and one diamond from a standard deck of playing cards. Count the number of elements in the event that each card has a different face value.
Answer:
17,160
Step-by-step explanation:
43 points! Please Solve!
Answer:
Omg I love these problems!
x= 14
y= 5
Step-by-step explanation:
X:
(angle coa is equal to angle bod, both 25)
(Angle mod is a right angle, equal to 90)
3x+23 +25= 90
3x+48= 90
3x=42
x= 14
y:
(angle aol is right angle: 90)
(aob is 180 (straight line), so aol plus lob is 180)
90+ 5y + (3(14)+23) = 180
155 +5y= 180
5y= 25
y= 5
Please tell me if this is correct, I did not check my work. If it is, brainliest?
All points of the step function f(x) are graphed. What is the domain of f(x)?
The shaded area is 54pi cm^2, and the radius is 12 cm.
Find X
54=(X/360)× πr²
54=(X/360)× 3.14(12)²
54=(X/360)×452.16
X =54÷452.16×360
X =42.99(2 d.p)
I need help with this question.
what common denominator goes to 16
[tex]\left[\begin{array}{ccc}Your\;answer\;is\;48\end{array}\right][/tex]
Explanation
Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.
Then add (or subtract) the fractions, as we wish!
Credit to mathisfun.com!
Help me with this question
A.
Lydia is making bracelets. She has already made 14 and plans to
make 3 more each day. How long will it take Lydia to make 86
bracelets?
The number of meters a student swam this week are listed.
200, 450, 600, 650, 700, 800
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability and equals 600.
The IQR is the best measure of variability and equals 250.
The mean is the best measure of variability and equals about 567.
The median is the best measure of variability and equals 625.
Answer:
Step-by-step explanation:
800 - 200 = 600 = range
Inter Quartile Range is hard to measure.
566 2/3 = mean = close enough to 567
The term 625 does not exist
point S is located at -1 on the number. point T is located at 6 on the number line What is the distance between point s and point t on the number lines?
The Distance between point S and point T on the number line is 7 units. The units could be inches, centimeters, meters, or any other unit of measurement depending on the scale of the number line that is being used
The number line is a geometric representation of the actual number system. It can be a great aid in visualizing math problems. When we use a number line to locate two points, it helps us to determine the distance between them, as well as to measure the magnitude of the numbers.
We can also use the number line to help us add and subtract values. Now, to find the distance between point S and point T on the number line, we can use the following formula:
Distance between two points = Absolute value of (coordinate of point T - coordinate of point S)In our given problem, we are given that point S is located at -1 on the number line and point T is located at 6 on the number line. We can plug these values into the formula:
Distance between two points = Absolute value of (6 - (-1)) = Absolute value of (6 + 1) = Absolute value of 7 = 7 units
Therefore, the distance between point S and point T on the number line is 7 units. The units could be inches, centimeters, meters, or any other unit of measurement depending on the scale of the number line that is being used.
For more questions on Distance .
https://brainly.com/question/30395212
#SPJ8
1 2/9 x 1 4/5 please quick I have 5 minutes
Answer:
2 &1/5
Step-by-step explanation:
there u go good luck with whatever ua re doing
Answer:
11/5 is your answr fraction form.or 2.2 in decimal form
6 - 3x = 5x - 10x + 8
Answer:
x=1
Step-by-step explanation:
6-3x=5x-10x+8=
move all terms to the left:
6-3x-(5x-10x+8)=0
add all the numbers together, and all the variables
-3x-(-5x+8)+6=0
get rid of parentheses
-3x+5x-8+6=0
add all the numbers together, and all the variables
2x-2=0
move all terms containing x to the left, all other terms to the right
2x=2
x=2/2
x=1
The price of an item yesterday was $105. Today, the price fell to $42. find the percentage decrease
Answer:
60%
Step-by-step explanation:
105-42=63
63/105 = 3/5
3/5=60%
Answer:
The answer is 63
Step-by-step explanation:
105-42= 63
Simplify x^2×(x^3÷x^-2/x^2÷x^-3)
Answer:
x^8
Step-by-step explanation:
Simplify the following:
(x^2 x^3)/(x^(-2) x^2 x^(-3))
Multiply the numerator of (x^3)/((x^2)/(x^2) x^(-3)) by the reciprocal of the denominator. (x^3)/((x^2)/(x^2) x^(-3)) = (x^3 x^3)/((x^2)/(x^2)):
x^2 (x^3 x^3)/((x^2)/(x^2))
(x^3 x^3 x^2)/((x^2)/(x^2)) = x^2/x^2×(x^3 x^3)/x^(-2) = (x^3 x^3)/x^(-2):
(x^3 x^3)/x^(-2)
Combine powers. (x^3 x^3)/x^(-2) = x^(3 + 3 + 2):
x^(3 + 3 + 2)
3 + 3 + 2 = 8:
Answer: x^8
SOMEONE PLZ HELP I AM IN NEED
Answer:
x + 278 = 450; x = 172
Step-by-step explanation:
Answer:
B-172
Step-by-step explanation:
All I did was add the 2 given sides then subtract that from the perimeter. Then, I got 172 and you don't even have to worry about the equation in the answer choices because it's just there to throw you off once you have the answer your good.
HOPE THIS HELPS!
Is throw right ASAP
Answer: No it is not.
Step-by-step explanation:
All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). Alternatively, a linear function can be expressed in the form y – y0 = m(x – x0), where m is the slope and (x0, y0) is a point on the line (point-slope form).
Answer:
yes: it has a variable X
Step-by-step explanation:
Solving the equation
Answer:
-1
Step-by-step explanation:
We need to isolate x.
When we do so, we want it to be a positive term.
-x = 28
To get the x term positive, we divide both sides by -1.
x = -28
Answer:
[tex]\huge\boxed{-1}[/tex]
Step-by-step explanation:
In order to solve an equation, our goal is to isolate the variable on one side of the equation.
As of now, we have [tex]-x = 28[/tex]
This is the exact same thing as [tex]-1x = 28[/tex], since a negative sign also means you multiply it by -1.
We want to divide both sides by the coefficient on x so that we have x, positive and isolated, on one side of the equation.
Therefore we want to divide by -1.
Hope this helped!
Last year it rained 23% of the days in a small town.
A) 23/100 B)1/23 C) 23/1000
D) 23/30
Answer: It would be A since percentage is out of 100
(3.07A MC)
The graph shows two lines, A and B:
A graph is shown with x and y axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
(3, 4) is the solution to both lines A and B.
(3, 4) is the solution to line A but not to line B.
(0, 2) is the solution to both lines A and B.
(0, 2) is the solution to line A but not to line B.
Answer:
(3, 4) is the solution to both lines A and B.Step-by-step explanation:
Given
Line A with points (2, 6) and (5, 0)Line B with points (0, 2) and (6, 6)Lets get the equations for both lines
Line A
y = mx + bm = (0 - 6)/( 5 - 2) = -26 = 2*(-2) + b ⇒ b = 6+ 4 = 10y = - 2x + 10Line B
m = (6 - 2)/( 6 - 0) = 4/6 = 2/3b = 2 as per point (0, 2)y = 2/3x + 2We got two equations:
y = -2x + 10 y = 2/3x + 2Solving the system:
-2x + 10 = 2/3x + 28/3x = 8x = 3 ⇒ y = 4(3, 4)Verifying answer options
(3, 4) is the solution to both lines A and B. YES(3, 4) is the solution to line A but not to line B. NO(0, 2) is the solution to both lines A and B. NO(0, 2) is the solution to line A but not to line B. NOAnswer:
(3, 4) is the solution to both lines A and B.
Step-by-step explanation:
In an annual report to investors, an investment firm claims that the share price of one of their bond funds had very little variability. The report shows the average price as $18.00 with a variance of 0.11. One of the investors wants to investigate this claim. He takes a random sample of the share prices for 10 days throughout the last year and finds that the standard deviation of the share price is 0.1448. Can the investor conclude that the variance of the share price of the bond fund is different than claimed at α=0.1? Assume the population is normally distributed.
State the null and alternative hypotheses. Round to four decimal places when necessary.
Answer:
.
Step-by-step explanation:
A farmer is traveling down a trail with his dog (who is always hungry), two geese (who are also
always hungry), and three bags of grain. Soon, the trail leads into a river but begins again on
the other side. To get to the other side the farmer must wade across the river yet he can only
carry two of his six possessions at a time. The farmer knows that, if left together, the dog will
eat any or all of the geese and any of the geese will eat all the grain they can. How can the
farmer get all of his possessions to the other side of the river safely and uneaten?
Answer:
Carry the grain first, then his dog.
Step-by-step explanation:
The geese are geese. They can swim.
Which of the following is a point-slope equation for a line with the point (-2,4) and a slope of three
Which statement is true about the graph of the quadratic function below?
The graph of the function has two y-intercepts and one x-intercept.
The function has a domain of all real numbers greater than or equal to
The function has a zero at (0, 1).
The function has a minimum value.
The quadratic function below has a minimum value. The graph of the quadratic function is shown below. The vertex of the graph is (-2, -5), and the axis of symmetry is x = -2.What is a quadratic function?A quadratic function is a function that can be represented in the form[tex]f(x) = ax^2 + bx + c[/tex], where a, b, and c are constants and a ≠ 0.
The graph of a quadratic function is a parabola that opens upwards if a > 0 and downwards if a < 0. The vertex of the parabola is the minimum point of the function if a > 0 and the maximum point of the function if a < 0.
The quadratic function below has a minimum value. This means that the parabola opens upwards, and the vertex is the minimum point of the function.
The vertex of the parabola is (-2, -5), which is the lowest point on the graph. The axis of symmetry is the vertical line x = -2, which passes through the vertex.
The axis of symmetry divides the parabola into two congruent halves, so the parabola is symmetric about this line.
In summary, the statement that is true about the graph of the quadratic function below is that the function has a minimum value.
The vertex of the parabola is (-2, -5), and the axis of symmetry is x = -2. The parabola opens upwards, and the minimum point of the function is at the vertex.
For such more question on quadratic function
https://brainly.com/question/29293854
#SPJ8
$5000 at a 5% interest for 3 1/2 years
In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning.
If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?
Drag the numbers to show your answer. Numbers may be used once, more than once, or not at all.
Answer:
After the order, there are 60 roses and 36 tulips, which is equivalent to 5 : 3. The ratio does not change.
Step by step:
72 divided by 2 is 36.
36 divided by 3 is 12.
5 times 12 is 60.
So, the ratio is 60:36
In a florist shop, if the florist uses up half of each type of flower to fill an order, the ratio of roses to tulips will change and it will be 60 roses: 36 tulips.
Given that:
the ratio of roses to tulips is 5: 3On a Friday morning, the shop has (x) roses: 72 tulipsWe can form a system of equations; where
5: 3 ---- (1)x: 72 ---- (2)Let cross multiply the above equations to determine for the value of x:
i.e.
3x = (5 × 72)x = (5 × 72)/3x = 120So, on that Friday morning, when the shop has 72 tulips, they have 120 roses.
Now, if half of each type of flowers were used to fill an order, then the ratio of the roses to tulips will be:
(120/2) roses : (72/2) tulips60 roses: 36 tulipsLearn more about ratios here:
https://brainly.com/question/18956877?referrer=searchResults
The average number of claims per hour made to an insurance company is 3.
a. What is the probability that over the next hour 4 claims will be placed?
b. What is the probability that over the next 3 hours 6 claims will be placed?
Step-by-step explanation:
We have it that x follows a poisson distribution.
λ is equal to 3
The poisson distribution is given by:
P(x) = e^-λ * λ^X/X!
λ = 3
X = 4
A. The question had already given us the X value to be 4
p(x = 4)
= e^-3 x 3⁴/4!
= e^-3 = 0.001
3⁴= 34
4! = 81
putting all values into p(x=4)
= .001x81/24
= 0.1680
b. for 3 good hours, we will have lamda to be;
3x3 = 9
p(x = 6)
= e^-9 * 9⁶/6!
= 0.0911
