Which point is an x-intercept of the quadratic function
f(x) = (x – 8)(x + 9)?
Answers
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{(8, 0) and (-9, 0)}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{f(x) = (x - 8)(x + 9)}\)
Find: \(\textsf{Determine the x-intecept}\)
Solution: In order to find the x-intercept we need to set the y-value to 0 which means that we are looking for the points that cross the x-axis. Then we just solve for x and we get the x-intercepts.
Set y to 0
\(\textsf{f(x) = (x - 8)(x + 9)}\)\(\textsf{0 = (x - 8)(x + 9)}\)Determine the first x-intercept
\(\textsf{x - 8 + 8 = 0 + 8}\)\(\textsf{x = 0 + 8}\)\(\textsf{x = 8}\)Determine the second x-intercept
\(\textsf{x + 9 - 9 = 0 - 9}\)\(\textsf{x = 0 - 9}\)\(\textsf{x = - 9}\)There are two x-intercepts of the quadratic function that was provided which are (8, 0) and (-9, 0).
Related Questions
Make y the subject of the formula
w=x^2-2yz
Answers
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
y = x^2/2^z - w/2z
Step-by-step explanation:
Answer:
w=x^2-2yz
x^2-w=2yz
x^2-w=y
2z
Step-by-step explanation:
(view picture)what is the classification of each system drag the answers into the boxes to match each system
Answers
The first equations are a consistent dependent system, the second equations are of a consistent independent system and the third equations are of a consistent independent system.
What is the classification of system?
If the slopes are the same but the y-intercepts differ, the system is inconsistent. If the slopes differ, the system is consistent and self-contained. The system is consistent and dependent if the slopes and y-intercepts are the same.
x + 5y = -2 ..............(A)
x + 5y = 4 ................(B)
Equation A and equation B are on the same line
The system has an infinite number of solutions.
Hence, the system is a consistent dependent system.
y = 3x + 4 ...............(A)
-2x + y = 4 ..............(B)
simplifying equation A,
-3x + y = 4
-2x + y = 4
By subtracting these equations we get,
x = 0
y = 4
The system has one solution.
Hence, the system is a consistent independent system.
3x + y = 4 ..........(A)
-6x - 2y = -8 ............(B)
By multiplying equation A by 2.
6x + 2y = 8
-6x - 2y = -8
Equation A and equation B are on the same line
The system has an infinite number of solutions.
Hence, the system is a consistent dependent system.
Hence, the first equations are a consistent dependent system, the second equations are of a consistent independent system and the third equations are of a consistent independent system.
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The two cones below have the same radius, height, and volume. are the two cones congruent? explain and include details to support your claim.
Answers
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The two cones below have the same radius, height, and volume.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Since, Congruent cones must have congruent corresponding measures, including slant height.
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
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Answer:
Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.
What did you include in your response? Check all that apply.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
Pls someone help I
With small explination
Answers
Step-by-step explanation:
here
hope it helps
no can help you ok yes beta ji
Thomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the results as 0.9333 Write this number as a fraction
Answers
six less than twice a number x is 38 whats the value ofx
Answers
Answer:
x=22
Step-by-step explanation:
We would do the opposite so "six less" we would add 6 to 38. 6+38= 44 and "twice a number" we would divide by 2. 44 /2= 22. So the answer would be 22.
Hope this helps! :)
Answer:
Answer is 22
Step-by-step explanation:
38+6=44
44 ÷ 2= 22
:)
Examine the equation. − 1 3 ( 2 3 x + 5 ) = − 4 3 ( 1 2 x − 8 ) Which equation correctly uses the distributive property and properties of equality to isolate the variable term? Negative StartFraction 2 Over 9 EndFractionx -Five-thirds= -Two-thirdsx + StartFraction 32 Over 3 EndFraction -StartFraction 4 Over 9 EndFractionx =StartFraction 27 Over 3 EndFraction Negative StartFraction 2 Over 9 EndFractionx + Two-thirdsx - StartFraction 37 Over 3 EndFraction = 0 StartFraction 4 Over 9 EndFractionx =StartFraction 37 Over 3 EndFraction
Answers
Answer:
It is D.4/9x=37/3
Step-by-step explanation:
i took the test
Answer:
D
Step-by-step explanation:
edge2020
Rebecca Wright earned $115 in simple interest for 8 months at an annual interest rate of 5%. How much money did she invest?
Answers
Answer:
The answer is 3450
Step-by-step explanation:
I=Prt
P=??
I=115
r=5%
t=8 months which is two thirds of a year
115=P×5%×2/3
115=1/30P
P=3450
2(1+3)^3-5^2 help me plsss 100 points given
Answers
First, we need to evaluate the exponent 3 of the expression inside the parentheses:
(1+3)^3 = 4^3 = 64
Next, we can simplify the expression by applying the order of operations (PEMDAS):
2(1+3)^3-5^2 = 2(64) - 25
Now, we can continue simplifying:
2(64) - 25 = 128 - 25
Finally, we can evaluate the subtraction:
128 - 25 = 103Therefore, 2(1+3)^3-5^2 = 103.
Answer:
To solve this expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), which tells us to perform the operations in the following order:
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Using PEMDAS, we can simplify the expression as follows:
2(1+3)^3 - 5^2
= 2(4)^3 - 25 // inside the parentheses, 1+3 = 4
= 2(64) - 25 // 4^3 = 4 x 4 x 4 = 64
= 128 - 25
= 103
Therefore, the solution to the expression 2(1+3)^3-5^2 is 103.
1/8y= -3/4x-1 in standard form
Answers
Find the three arithmetic means between -4 and 16.
Answers
Step-by-step explanation:
let the three arithmetic means is x,yand z
-4,x,y,z,16
we know that common difference is same in A.P
x+4=y-x
2x=y-4 ---------------------(1)
y-x=z-y
2y=z+x ---------------------(2)
z-y=16-z
2z=16+y --------------------(3)
after solving equation (1),(2)and(3) we get
x=1
y=6
z=11
Some amount of billiard balls were arranged in an equilateral triangle. And three balls were extra. When the same set of billiard balls were arranged into triangle in which each side has one more ball than in the first arrangement there were four billiard balls shortage. How many balls were in the set?
Answers
Answer:
25 The number of balls to make an equilateral triangle with the sides of length n is expressed by the formula n(n+1)/2 So to express the number of balls you have is b = n(n+1)/2 + 4 With the larger arrangement you have b = (n+1)(n+2)/2 - 3 Both of those qualities are equal to each other, so set an equation where they're equal. Then solve for n n(n+1)/2 + 4 = (n+1)(n+2)/2 - 3 Distribute the n term on the left (n^2 + n)/2 + 4 = (n+1)(n+2)/2 - 3 Distribute the /2 on the left. 0.5n^2 + 0.5n + 4 = (n+1)(n+2)/2 - 3 Multiply (n+1)(n+2) on right, then distribute the /2 0.5n^2 + 0.5n + 4 = 0.5n^2 + 1.5n + 1 - 3 Subtract 0.5n^2 + 0.5n from both sides 4 = n + 1 - 3 Add 2 to each side 6 = n So the original triangle had sides with a length of 6, for a total number of balls of 6(6+1)/2 = 21 with 4 extra giving 25 balls. Let's check with the next larger triangle 7(7+1)/2 = 28 with 3 balls shortage. Which 25 balls would make happen. So the number of balls in the set is 25
Step-by-step explanation:
what is the answer real quick
Answers
Answer:
19
Step-by-step explanation:
2d + 3 d = 8
2(8) + 3
16 + 3
19
Which is a degree of rotational symmetry for the regular pentagon
Answers
Explanation:
Pentagon = 5 sides.
360 degrees (degrees of a full circle) divided by 5 (sides of the pentagon) equals 72 degrees.
What geometric shapes are in the fools puzzle quilt
Answers
The quilt consist of the following geometric shapes, which are the areas
bounded by lines, including;
An octagonA pentagonA right isosceles triangleAn equilateral triangleHow can the geometric shapes in the quilt be found?
Geometric shapes are shapes with boundary lines, interior angles and
surfaces.
The possible given quilt is attached;
From the given quilt, we have;
An octagon
A pentagon
A right isosceles triangle
An equilateral triangle
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One sponsor will donate $80 just for entering the race. Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she wants to raise exactly $200 from those two sponsors?
Answers
Answer:
10 miles
Step-by-step explanation:
first you subtract 80 from 200
200-80= 120
then you divide 120 by 12
120/12= 10
she will need to walk 10 miles in order to raise 200 dollars
hope this helped!
Find the product using the correct number of significant digits.
0.025 x 4.07 =
Answers
Answer: 0.10175
Step-by-step explanation:
First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.
Answer: 0.10
Step-by-step explanation:
on time4llearning
2. Is the following inequality always, sometimes, or never true?
2(3x - 1) +4> 6x + 2
Answers
The two sides of an inequality are not the same so inequality can never be true.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that the inequality is 2(3x - 1) +4> 6x + 2. The inequality will be solved as below;-
2(3x - 1) +4> 6x + 2
6x - 2 + 4 > 6x + 2
6x + 2 > 6x + 2
The two sides are equal so inequality can never be true.
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please help me solve this
Answers
Answer:
are you done or i can still answer this
Step-by-step explanation:
Step-by-step explanation:
i don't knowhkkokhhhhvfyui
(2.569
3
2. Stephanie has 3 bags of soil to put in her garden. Each bag of soil will cover 125 ft.
How many square feet will Stephanie be able to cover if she uses all these bags of soil?
(7.3A)
Answers
i cant understand your question define briefly
When approaching the top of a hill, passing is not allowed Select one: a. within 500 feet before. b. within 750-1,000 feet before. c. within 1,100 feet before. d. None of the above
Answers
The correct answer is a. within 500 feet before. When approaching the top of a hill, passing is not allowed for safety reasons.
The reason for this restriction is to ensure the safety of drivers and prevent potential accidents or collisions that can occur due to limited visibility and potential hazards on the road.
Passing within 500 feet before the top of a hill is prohibited because at this point, the driver's line of sight may be compromised. As the driver ascends the hill, the road ahead becomes obscured, making it difficult to see oncoming vehicles, pedestrians, or any potential obstacles. Passing in such conditions significantly increases the risk of a collision or a dangerous situation.
The restriction on passing within 500 feet before the top of a hill is a common traffic regulation implemented in many jurisdictions. It is designed to ensure that drivers maintain a safe distance and have sufficient time to react to any unexpected situations that may arise.
By prohibiting passing within this specified distance, authorities aim to minimize the likelihood of accidents caused by reduced visibility and limited reaction time. It allows drivers to navigate the hill safely and be prepared for any potential hazards that may appear once the crest of the hill is reached.
It is important for drivers to be aware of and adhere to these regulations to promote safe driving practices. Failure to comply with the passing restrictions near the top of a hill can lead to serious consequences, including accidents, injuries, and even loss of life.
In conclusion, passing is not allowed within 500 feet before the top of a hill due to reduced visibility and the potential for hazardous conditions. This restriction ensures the safety of drivers and helps prevent accidents on hilly roads.
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A pair of adjacent angles, whose non-common sides are opposite rays, is known a. (a) adjacent pair. (b) alternate pair. (c) linear pair. (d) common pair.
Answers
The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.
What is a linear pair?When two lines meet at a single point, a pair of linear angles is formed. If the angles at the intersection of the two lines are next to one another, they are said to be linear. The total of the angles in a linear pair is always 180°.Meanwhile, the linear pair is not the only pair of angles. The other pairs are: complementary, supplementary, linear pair, vertically opposite, alternate interior, alternate exterior, corresponding, and adjacent angles.Learn more about the linear pair:
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Help with Pre Calculus
Answers
Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. \(x(2x^2-x-15)\). So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\). So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
\(x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}\)
A bag contains 2 beads Are blue 1 of the bead is green 3 of the bead is purple
Answers
Answer:
hope I'm right good luck
Step-by-step explanation:
2x1x3=6 so the rest is 6 which equals 12
Answer:
Step-by-step explanation:
Well there are 12 beads.
2+1+3=6 and that means there are 6 red beads.
Then 6 red beads+3 Purple beads=9 Beads and 9/12 is the same as 3/4 meaning the probability of picking a purple/red bead IS 3/4
The 225 students who passed all of their classes on the last report card will attend a one-hour Friday Fun-Day sponsored by the Parent-Teacher
Organization (PTO). A variety of activities and snacks will be provided and students will receive one prize. A random survey of 50 students was
conducted to determine how many of each prize should be purchased for the Friday Fun-Day. The results of the survey are shown.
• 28 students want a slime kit.
• 12 students want a basketball.
• 6 students want a jewelry bead kit.
• 4 students want an artist sketch pad and pencil set.
Problem
Based on the survey results, which of these is NOT a valid prediction of the prizes wanted by the 225 students?
A There are 126 students who want a slime kit.
B There are 36 fewer students that want an artist sketch pad and pencil set than a basketball.
C There are 71 students who want either a basketball or a jewelry bead kit.
D There are 27 more students who want a slime kit than all the other prizes combined.
Answers
Answer:
C. is incorrect.
Step-by-step explanation:
Calculate the percentages for each prize desired by the 50 students responding in the sample survey. See the attached image for this calculation. Multiply these percentages times the total student body of 225 students to determine the likely selection for each prize (on the attachment).
A. is correct (126 students)
B. is correct
C. is incorrect. The total is (54 + 27) = 83
D. is true
Hi thank you so for all your time and help
Answers
Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.
We want to find x such that:
\(\tan (x)=\sqrt[]{3}\)We'll use the second right triangle to show what we want.
First, given a triangle:
We know that the hypotenuse will be:
\(\sqrt[]{x^2+y^2}\)But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.
\(\tan (\alpha)=\frac{y}{x}\)and
\(\tan (\beta)=\frac{x}{y}\)Now look at the triangle we have:
We can easily check that:
\(\sqrt[]{3}=\frac{\sqrt[]{3}}{1}\)So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!
Therefore, we have:
\(\tan (60^{\circ})=\frac{\sqrt[]{3}}{1}=\sqrt[]{3}\)And the solution to x is:
\(x=60^{\circ}\)
As x > - infinity f(x) > infinity and as x > infinity f(x) > infinity
As x > -infinity f(x) > - infinity and as x > infinity f(x) — infinity
Brianlest to whoever helps
Answers
Answer:
The first one.
Step-by-step explanation:
The line has a positive slope, so as x reaches infinity, f(x) will also reach infinity, and the same with negative. Hope this helps!
determine whether the following sets are subspaces of r3 under the operations of addition and scalar multiplication defined on r3. justify your answers.
Answers
Using Scalar multiplication, If all the conditions are satisfied, then the set is a subspace of R³
Scalar multiplication is what?The result of multiplying a real number by a matrix is known as a scalar multiplication. Each entry of the matrix is multiplied by the specified scalar in scalar multiplication.
The following requirements must be met in order to establish whether a set is a subspace of R3 under addition and scalar multiplication:
Closure under addition: If elements u and v are present, then u plus v must also be present.
If u is a member of the set and k is any scalar, then ku must likewise be a member of the set. Closure under scalar multiplication.
The zero vector is contained in: The set must contain the zero vector (0, 0, 0).
includes all negative vectors; if u is in the set, then -u must also be.
These conditions must be checked for each set, and your response must be supported.
The set is a subspace of R³ if all the conditions are met.
The set is not a subspace of R³ if any of the requirements are not met.
Consequently, the set is a subspace of R³ if all of the conditions are met.
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Complete question -
another club has 20 members. 12 boys and 8 girls. two of the members are chosen at random. what is the probability that a girl and boy are chosen
Answers
Answer:
\(\frac{6}{25}\)
Step-by-step explanation:
P(girl)
= 8/20
= 2/5
P(boy)
= 12/20
= 3/5
So P(girl and boy)
= \(\frac{2}{5}*\frac{3}{5}\)
= \(\frac{6}{25}\)
Sebastian wants to factor the greatest common factor out of the expression, 27m²n + 36m³n³ + 18mn⁴
Sebastian determines that the greatest common factor is 9m²n⁴. Is Sebastian correct? If he is, explain why. If he is not correct, determine the correct answer and explain your reasoning.
I NEED THIS TO BE QUICK PLSSS
Answers
Sebastian is incorrect. The greatest common factor of the expression 27m²n + 36m³n³ + 18mn⁴ is actually 3m²n.
How do you calculate the common factor?To find the greatest common factor (GCF) of an expression, you can follow these steps:
1. Identify the factors of each term in the expression. For example, the factors of 27m²n are 1, 3, 9, 27, m, m², n, and m²n. The factors of 36m³n³ are 1, 2, 3, 4, 6, 9, 12, 18, 36, m, m³, n, n³, m³n, m³n³, and so on.
2. Look for factors that are common to all the terms in the expression. In this case, 3 and m² are common to all three terms.
3. Determine the highest power of each common factor that appears in any of the terms. In this case, the highest power of 3 is 1, and the highest power of m² is 2.
4. Multiply the common factors together using the highest powers determined in the previous step. In this case, the GCF is 3m².
Therefore, the correct answer is 3m²n, not 9m²n⁴.
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