ANSWER
[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]
EXPLANATION
The given polynomial function is
[tex]f(x) =2{x}^{3} + 3 {x}^{2} - 9x[/tex]
To find the zeros, we equate the function to zero.
[tex]2{x}^{3} + 3 {x}^{2} - 9x = 0[/tex]
Factor x,
[tex]x(2 {x}^{2} + 3x - 9) = 0[/tex]
Split the middle term,
[tex]x(2 {x}^{2} + 6x - 3x - 9) = 0[/tex]
[tex]x(2x(x + 3) - 3(x + 3) = 0[/tex]
[tex]x(2x - 3)(x + 3) = 0[/tex]
[tex]x=0,2x-3=0,x+3=0[/tex]
[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]
Answer:
x = -3, x= 0, and x = 1.5
Step-by-step explanation:
The zeros of a function f(x) refers to the x-values for which f(x) = 0.
We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;
From the attachment below, the graph of f(x) crosses the x-axis at;
x = -3, x= 0, and x = 1.5
Jeff makes fruit punch using 1 quart of orange juice 2 pints of pineapple juice 8 cups of tropical punch and 8 pints of ginger ale. How many gallons of fruit punch does Jeff make.
Answer:
2 gallons
Step-by-step explanation:
So say we make everything into cups. We know there is 4 cups in a quart and 2 cups in a pint. So if we do the math you are really adding
4 cups + 4 cups + 8 cups + 16 cups
So that would be 32 cups.
We also know there is 16 cups in a gallon. Since we know that then we can do
32 cups ÷ 16 cups
That would be 2 gallons!
Hope this helps!
Final answer:
Jeff makes 2 gallons of fruit punch by converting all the liquid measurements to pints and then summing them up to convert to gallons.
Explanation:
To determine how many gallons of fruit punch Jeff makes, we need to convert all the measurements to the same unit and then add them together. Here are the conversions we'll use:
1 quart = 2 pints
1 pint = 2 cups
1 gallon = 4 quarts
1 gallon = 8 pints
1 gallon = 16 cups
Now let's convert everything to pints since most of the units provided are in pints:
Orange juice: 1 quart = 2 pints
Pineapple juice: 2 pints
Tropical punch: 8 cups = 4 pints
Ginger ale: 8 pints
Add all the pints together:
2 pints (orange juice) + 2 pints (pineapple juice) + 4 pints (tropical punch) + 8 pints (ginger ale) = 16 pints total
Now convert pints to gallons:
16 pints ÷ 8 pints/gallon = 2 gallons
So, Jeff makes 2 gallons of fruit punch.
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). input -1 0 -1 -8 9 output 0 1 2 4 8 function relation neither
Answer:
Relation.
Step-by-step explanation:
This is a relation but not a function. The input -1 maps to both 0 and 2; this is a one-to-many relation so it is not a function. Functions are either one-to-one or many-to-one.
Answer:
Relation cause its not a function
Step-by-step explanation:
This is a relation but not a function.
What are the x intercepts of the quadratic function? Y=-x^2+2x-1
Answer:
x = 1
Step-by-step explanation:
Given in the question the equation
y = -x² + 2x - 1
To find the x-intercept, substitute in 0 for y
0 = -x² + 2x - 1
To find value of x use quadratic equation
x = -b ± √b²-4ac / 2a
here a = -1
b = 2
c = -1
x1 = -2 + √2²-4(-1)(-1) / 2(-1)
= -2 + 0 / -2
= -2 / -2
= 1
x2 = -2 - √2²-4(-1)(-1) / 2(-1)
= -2 - 0 / -2
= -2 / -2
= 1
Which simple solid looks like a square from above, a triangle from the front, and a triangle from the side?
Answer:
pyramid with square base.
Step-by-step explanation:
We have been given some description about a simple solid which looks like a square from above, a triangle from the front, and a triangle from the side.
Now we need to figure out which solid has above properties.
The answer will be pyramid with square base. Because side walls of pyramid are always in same shape.
5 + (7-7) + 4 is what property. A: identity property B: associative property
Answer:
A
Step-by-step explanation:
Diane Has to give medicine to her cat every morning for the next 21 days. How many weeks is this?
? Weeks
Answer:
it would be 3 weeks because there are 7 days in a wekk so if u divide 21 by 7 it would give u 3
Step-by-step explanation:
1 week = 7 days
weeks = 21/7 days
Weeks = 3
21 days is 3 weeks.
jorge solves the equation 4x-(x+2)+6
Answer:
Step-by-step explanation:
2x+6
<3
Callie
Answer:
The equation that is solved by George is
=4 x - (x+2) +6
=4 x -x -2 +6-------Using Distributive property of Multiplication with respect to Addition→ a×(b+c)=a×b+a×c
→Adding and subtracting like terms
=3 x+4
Jordan is 53 inches tall. What is his z-score? Jake is 44 inches tall. What is his z-score? Jacob is 49 inches tall. What is his z-score. Photo below of question! Please help
Answer:
The following are each student's z-scores
Jordan = 2
Jake = -2.5
Jacob = 0
Step-by-step explanation:
To find each of these, use the formula given in the picture. The x value will be the student's height. The mu (or funny looking m) will be the mean. And the sigma (the o with a line) is the standard deviation.
Jordan
z = (x - m)/o
z = (53 - 49)/2
z = 4/2
z = 2
Jake
z = (x - m)/o
z = (44 - 49)/2
z = -5/2
z = -2.5
Jacob
z = (x - m)/o
z = (49 - 49)/2
z = 0/2
z = 0
Answer:
The following are each student's z-scores
Jordan = 2
jake = -2.5
Jacob = 0
What is the height of a student whose z-score is 3?
55"
Step-by-step explanation:
Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?
Answer:
C
Step-by-step explanation:
F must be on -4
H must be on 4 (because it is -f=-(-4)=-1•-4=4)
Answer:
Step-by-step explanation:
the answer is c
Help help help help h
Answer:
-5,120
Step-by-step explanation:
The pattern is increasing by x*2
I would say -100
You would find this out by identifying your 'a' which is the first number of the sequence, in this case it is -5
Then you would find the common ratio. You do that by dividing any two of the numbers after your 'a' For this one I chose to divide -20 by -10 and that gets you 2.
You would multiply those together, getting you -10.
So, from here you would put the term you are trying to find (in this case it is the 11th term) and subtract it by one
11-1=10
Lastly, you would multiply your -10 by 10 and get yourself a -100
Formula: nth term = a1^n-1
Hope this helps :) Sorry if it is kinda confusing...
What is the value of X in the diagram
Answer:
X = 25.28
Step-by-step explanation:
By Pitagoras Theorem:
9^2 + Y^2 =24^2
81 + Y^2 = 576
Y^2 = 495
Y = 22.25
Now Y is one catet for to find X
X^2 = 12^2 + 22.5^2
X^2 = 144 + 495
X^2 = 639
X = 25.28
Best regards
Answer:
x = 32
Step-by-step explanation:
The segments formed by the angle bisector will form a correct proportion when paired with their adjacent triangle sides
so
9/24 = 12/x
Cross multiply
9x = 24 * 12
9x = 288
x = 32
My question is 33 divided by 6789 so yeah and need the steps
33÷6789 or 6789÷33? 33÷6789 would give you a decimal less than 1, 6789÷33 would give you a number greater than 1 possibly with a remainder.
Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.What does the proportionality constant represent in this situation?
Answer:
The amount of time it takes for her to make 1 bracelet.
Step-by-step explanation:
You can set up an equation as 3k = 15, and then solve it by dividing by 3 on both sides, getting an answer of 5.
Answer:
Step-by-step explanation:
The proportionality constant of 5 minutes per bracelet means it takes Olivia 5 minutes to make 1 bracelet.
if the surface area is 6.8ft what is the area in each triangle
1.7 ft2 If the surface area is 6.8 ft2 then 1.7ft2 x 4 =6.8FT2
The area of each Triangle is 1.7 ft².
What is Surface Area?A 3-dimensional solid prism's surface area is determined by the form of its base. A prism's surface area is the total area occupied by the prism's faces. A prism is a flat-faced polyhedron. It lacks curves.
The surface area of a prism is the amount of total space occupied by the prism's flat faces. Determining a prism's surface area entails calculating the total space occupied by all the faces of that particular type of prism or the sum of the areas of all faces (or surfaces) in a 3D plane.
We have
Surface Area = 6.8 ft²
As, the Figure have 4 Triangle.
Then, the Area of each Triangle
= 6.8 / 4
= 1.7 ft²
Thus, the required Surface Area is 1.7 ft².
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What is the diameter of a circle that has 50 square meters?
Answer: 7.97 meters
Step-by-step explanation:
You must use the formula for calculate the area of a circle, which is:
[tex]A=r^2\pi[/tex]
Where r is the radius of the circle.
The diameter of the circle is:
[tex]D=2r[/tex]
Solve for r from [tex]D=2r[/tex]
[tex]r=\frac{D}{2}[/tex]
Substitute the area and [tex]r=\frac{D}{2}[/tex] into the first equation and solve for the diameter. Then you obtain:
[tex]50m^2=(\frac{D}{2})^2\pi\\\\50m^2=\frac{D^2}{4}\pi\\\\D=\sqrt{\frac{4*50m^2}{\pi}}\\D=7.97m[/tex]
Answer:
The diameter of a circle that has 50 square meters = 7.98 m
Step-by-step explanation:
Formula
Area of circle = πr²
Where 'r' is the radius of circle
Diameter of circle d = 2r
It is given that area of circle = 50 square meters
To find the radius of circle
we have,
Area of circle = πr² = 50
r² = 50/π = 50/3.14 = 15.924
r = √15.924 = 3.99
To find the diameter of circle
Diameter = 2r = 2 * 3.39 = 7.98 m
2x+x-6x combine terms
Answer:
-3x
Step-by-step explanation:
Combine like terms (terms with the same amount of variables). Note that + x = + 1x. First add, then subtract:
2x + x = 3x
3x - 6x = -3x
-3x is your answer.
~
Answer:
6x
Step-by-step explanation:
PLZ HELP! Need this DESPERATELY! Worth 15 points and will mark Brainliest! Thx so much :)
Answer:
#1 (1,10),(2,9),(2,8),(4,7),(5,6),(6,5),(7,4),(8,3),(9,2),(10,1). #2 (1,18),(2,9),(3,6),(6,3),(9,2),(18,1)
Raffaello Sanzio’s bank granted him a single-payment loan of $9,650. He agreed to repay the loan in 146 days at an ordinary interest rate of 7.75%. What is the maturity value of the loan?
Answer:c
Step-by-step explanation:
$9953.30
In similar polygon, corresponding angles should not have equal measures.
True or False
Answer: False
Step-by-step explanation: Similar means the ability for two shapes to be congruent to each other if dilated.
Also, corresponding angles are angles that have the same length. This means that this statement is indeed False.
(236 + 542) + N = 863
➷ 236 + 542 = 778
778 + N = 863
Subtract 778 from both sides:
N = 85
✽➶ Hope This Helps You!
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➶ Have A Great Day ^-^
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Answer:
85
Step-by-step explanation:
(236+542)+N=863 add the parenthesis first which gives you 778 subtract 778 by 863 which gives you 85 therefore your answer is 85
what is the product of (a + 3)(a - 2)
Answer: [tex]a^2+a-6[/tex]
Step-by-step explanation:
To solve the exercise you must apply the following proccedure:
- Apply the distributive property.
- Keepn on mind that when you multiply two powers with equal base, you must add the exponents.
- Add like terms.
Then:
[tex](a)(a)-(a)(2)+(3)(a)-(3)(2)=a^2-2a+3a-6=a^2+a-6[/tex]
Answer:
[tex]\large\boxed{(a+3)(a-2)=a^2+a-6}[/tex]
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](a+3)(a-2)=(a)(a)+(a)(-2)+(3)(a)+(3)(-2)\\\\=a^2-2a+3a-6\qquad\text{combine like terms}\\\\=a^2+a-6[/tex]
Which equation can be used to find the value of x in this figure. I’m so stumped but I think it is c
Answer:
[tex]106\°+x=180\°[/tex]
Step-by-step explanation:
Observing the figure
we know that
[tex]106\°+x=180\°[/tex] ----> by supplementary angles
Solve for x
[tex]x=180\°-106\°=74\°[/tex]
penny and luc have found a treasure chest in the garden. The chest contains 150 gold couns . Penny and luc share the coins between them in the ratio 2:1 . how many gold coins do they each get?
75 coins because you take 150/2 and get 75 coins
Which of the following equations describes a relationship of inverse variation between input and out put
Answer:
option (A)
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
output ∝ 1 / inputto remove this sign of proportionality
output = k / inputwhere k is a constant
Write an equation of the line that is parallel to y = 1 2 x + 3 and passes through the point (10, -5). A) y = 2x - 15 B) y = -2x + 15 C) y = - 1 2 x Eliminate D) y = 1 2 x - 10
Answer:
B) y = -2x + 15Step-by-step explanation:
[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\k\ \parallel\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=============================\\\\\text{We have the equation}\ y=\dfrac{1}{2}x+3\to m_1=\dfrac{1}{2}.\ \text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{We have the equation}\ y=-2x+b\\\\\text{Put the coordinates of the point (10, -5) to the equation and solve}\\\text{for}\ b:\\\\-5=-2(10)+b\\-5=-20+b\qquad\text{add 20 to both sides}\\15=b\\\\\text{Finally we have:}\\\\y=-2x+15[/tex]
a football player attempts two passes in overtime. each pass attempt results in a completion, an incompletion, or a turnover.
The correct answer is C) 7.
In order to determine the number of different outcomes for the two pass attempts in overtime, we need to consider the possibilities for each pass attempt. Let's break it down step by step:
For the first pass attempt, there are three possible outcomes: completion, incompletion, or turnover. Let's say the first pass attempt resulted in a completion.
For the second pass attempt, again there are three possible outcomes: completion, incompletion, or turnover. Since we are considering all possible outcomes, we will consider each possibility for the second pass attempt separately.
If the first pass attempt was a completion and the second pass attempt is also a completion, then we have one possible outcome.
If the first pass attempt was a completion and the second pass attempt is an incompletion, then we have one possible outcome.
If the first pass attempt was a completion and the second pass attempt is a turnover, then we have one possible outcome.
Now, let's consider the other possibilities for the first pass attempt.
If the first pass attempt was an incompletion and the second pass attempt is a completion, then we have one possible outcome.
If the first pass attempt was an incompletion and the second pass attempt is also an incompletion, then we have one possible outcome.
If the first pass attempt was an incompletion and the second pass attempt is a turnover, then we have one possible outcome.
Lastly, let's consider the remaining possibility for the first pass attempt.
If the first pass attempt was a turnover, then it does not matter what the outcome of the second pass attempt is, as the possession has already changed. Therefore, we have one possible outcome in this case.
Adding up all the possible outcomes, we have a total of 7 different outcomes for the two pass attempts in overtime.
Therefore, the correct answer is C) 7.
Complete question :-
A football player attempts two passes in overtime. Each pass attempt results in a completion, an incompletion, or a turnover. A) 8 B) 14 C) 7 D) 6
The value of a car decreases as shown in the table below. Which statements are true? Check all that apply.
well.. what are the statements?
Answer: The function that best represents the data is f(x)=24,512(0.755)^x.
The function decrease indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
Step-by-step explanation:
took the test
In the equation, what is the value of x? −4(x + 4x) = 2(2 − x) + 10 A) − 7/ 9 B) − 9/ 7 C) 7 9 D) 9/ 7 Submit
The solution to the given equation is x = -7/9, after simplifying and solving for x.
Explanation:To simplify the equation -4(x + 4x) = 2(2 - x) + 10, start by combining like terms within the parentheses: -4(5x) = 2(2 - x) + 10. This leads to -20x = 4 - 2x + 10. Further simplifying, you get -20x = 14 - 2x. Now, add 2x to both sides to eliminate the variable on the right, resulting in -18x = 14. To isolate x, divide both sides by -18, yielding x = -14/18, which can be further reduced to x = -7/9. In summary, the equation simplifies to x = -7/9 after a series of steps.
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the circumference of a circle is 34 pi. Find the diameter and radius
If the circumference is 34 Times PI that means that 34 is the diameter.
So that means that you can just divide the diameter by 2 to get the radius (Because the radius is half of the diameter.)
So the answer is the diameter is 34 and the radius is 17
Final answer:
The diameter of the circle with a circumference of 34π is 34 units, and the radius is half the diameter, which is 17 units.
Explanation:
The circumference of a circle is given by the formula C = πd, where C is the circumference, π (Pi) is approximately 3.14159, and d is the diameter of the circle. Given that the circumference of the circle is 34π, we can find the diameter by dividing the circumference by π:
d = C / π = 34π / π = 34
Therefore, the diameter is 34 units. The radius r is half of the diameter, so:
r = d / 2 = 34 / 2 = 17
Thus, the radius of the circle is 17 units.
The product of a number and 2 is 20 less than the product of the number and -3. What is the number?
x = -4
steps:Let the number = x (set up an equation)
2x = -3x - 20
add 3x to both sides
5x = -20
divide by 5 on both sides
x = -4
The question involves creating and solving an algebraic equation. By interpreting the word problem, we create the equation 2x = -3x - 20. Solving this equation, we find that the number in question is -4.
Explanation:The subject matter here is algebra, which falls under Mathematics. From the question, we can create an algebraic equation to find the number. Since the product of the number and 2 is 20 less than the product of the number and -3, we can write this as 2x = -3x - 20, with 'x' representing the unknown number. Solving this equation for x, we add 3x to both sides, turning the equation into 5x = -20. Dividing both sides by 5, we find that x = -4. So, the number is -4.
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