Which two equations would be most appropriately solved by using the zero product property?
Select EACH correct answer.
Which two equations would be most appropriately solved by using the quadratic formula?
Select EACH correct answer.
Answers
for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions
Answer:
1 - B and C
2 - B and C
Step-by-step explanation:
Ques 1: We know that,
Zero Product Property states that 'If ab=0, then either a=0 or b=0 or both are zero'.
So, from the options, we see that,
The equation [tex](x-3)(x+4)=0[/tex] can be solved using this property.
Also, the equation [tex]2x^2+6x=0[/tex] can be simplified to [tex]2x(x+3)=0[/tex].
So, this [tex]2x(x+3)=0[/tex] can also be solved by the given property.
Since, the other options cannot be factorized.
Hence, the correct options are B and C.Ques 2: We know that,
The quadratic formula is used to solve find the solution of the quadratic equation of the form [tex]ax^2+bx+c=0[/tex].
So, from the options, we see that,
The equations [tex](x-3)^2=36[/tex] and [tex](x+8)(x+9)=0[/tex] can be solved directly by using the 'Zero Product Property'.
The other equations cannot be solved directly and would be solved using the quadratic formula.
Hence, the correct options are B and C.Related Questions
USING 56 POINTS PLEASE HELP! A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need? Round to the nearest foot.
(Thank you!!) PLEASE ROUND THE NUMBER TO THE NEAREST FOOT.
Answers
Answer:
If this is right then yw :)
Step-by-step explanation:
Worker A earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. Worker B earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. Which of these statements is true?
A. Worker B earns more per day than worker A but less per hour than worker A.
B. Worker A earns more per day than worker B but less per hour than worker B.
C. Worker A earns more per day than worker B and more per hour than worker B.
D. Worker B earns more per day than worker A and more per hour than worker A.
Answers
Total earning per day = $8.10 x 10 = $81
He works 9 hours a day. Find the rate for 1 hour.
81 ÷ 9 = 9
He earns $9 an hour
Worker B:
Total earning per day = $8.40 x 8 = $67.20
He worked 7 hours a day. Find the rate for 1 hour.
67.20 ÷ 7 = $9.60
He earns $9.60 per hour
Worker A earns more per day than worker B but less per hour than worker B. (Answer B)
By calculating the total earnings per day and earnings per hour for Worker A and Worker B, we deduce that Worker A earns more per day than Worker B but earns less per hour than Worker B.
Explanation:To answer this question, we first need to calculate the total earnings per day and then the earnings per hour for both Worker A and Worker B.
For Worker A, the total earnings per day can be calculated as: 10 widgets/day * $8.10/widget = $81/day. For Worker B, the total earnings per day can be calculated as: 8 widgets/day * $8.40/widget = $67.20/day.
Therefore, we can see that Worker A earns more per day than Worker B.
Next, we calculate the earnings per hour. For Worker A, the earnings per hour amount to: $81/day ÷ 9 hours/day = $9/hour. For Worker B, the earnings per hour amount to: $67.20/day ÷ 7 hours/day = $9.60/hour.
Thus, Worker B earns more per hour than Worker A.
Given the calculations, the correct statement is B. Worker A earns more per day than Worker B but less per hour than Worker B.
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Riya is applying to her garden.She applies it at a rate of 25 ,000 cm^3 of mulch for every m^2 of garden space. At what rate is ray applying mulch in m^3/m^2
Answers
Riya is applying mulch at a rate of 0.025 m^3/m^2 after converting the original rate of 25,000 cm^3/m^2 to cubic meters per square meters.
Explanation:To find out the rate at which Riya is applying mulch in m^3/m^2, you first need to convert the given value from cubic centimeters (cm^3) to cubic meters (m^3). We know that 1 m = 100 cm, so 1 m^3 = 100 cm * 100 cm * 100 cm = 1,000,000 cm^3. Therefore, we need to divide the given value by 1,000,000 to convert it from cm^3 to m^3. So, if Riya applies 25,000 cm^3 of mulch for every m^2 of garden space, this is equivalent to 25,000/1,000,000 = 0.025 m^3/m^2.
In conclusion, Riya is applying mulch at a rate of 0.025 m^3/m^2.
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A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. To study the impact of adding ingredient P, Q, R, S, or T to the recipe, they baked 270 loaves of bread. Some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. The freshness of the bread was checked one week later, and the results were used to create the two-way tables below.
Which tables suggest an association between adding an extra ingredient and the freshness of the bread? Check all that apply.
(Tables Below)
Answers
Answer:
Effect of ingrediant R on freshness
Effect of Ingredient S on freshness
Effect of ingrediant T on freshness
Step-by-step explanation:
X Effect of ingrediant P on freshness
X Effect of ingrediant Q on freshness
* Effect of ingrediant R on freshness
* Effect of Ingredient S on freshness
* Effect of ingrediant T on freshness
Answer on edge
suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c<0, what could be the possible values of p and q?
A: p= -3, q= 7
B: p= 11, q= 4
C: p= -2, q= -5
D: p= 1, q= 10
Answers
c = p * q
So that c <0
We have that the possible values are:
p = -3
q = 7
Thus, the value of c is:
c = p * q
c = (- 3) * (7)
c = -21 <0
Answer:
the possible values of p and q could be
A: p = -3, q = 7
Explanation:
Let's solve it smartly!
Given expression: [tex] x^{2} + bx +c[/tex] --- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=> [tex] x^{2} + (p+q)x + pq[/tex] --- (B)
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:
p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)). Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
need help please!! thanks
Answers
The answer be D. (4,0)
Brainliest pts pls
(-3,-2)
Substitute
(7)(-3) - (5)(-2) = 28
(7)(-3) - (5)(-2) Does not equal 28
(4,0)
Substitute
(7)(4) - (5)(0) = 28
This is true
(4,0) is your answer
====================================================================
2.)
4x - 5y = 9
y = 4/5x - 9/5
The graph is supposed to show f(x)=3sin(x/4+1)-1/2. Which of the following are correctly represented in the graph? Select all that apply. (2 answers)
a. the amplitude
b. the vertical shift
c. the horizontal shift
d. the period
e. the horizontal expansion or compression
Answers
The vertical shift is correct
and the horizontal shift is correct
Answer:
a , b, c are only applicable in graph.
Step-by-step explanation:
Given : The function [tex]f(x)=3sin(\frac{x}{4}+1)-\frac{1}{2}[/tex]
To find : Which of the following are correctly represented in the graph?
Solution :
General form of sin function is [tex]y=A sin(B(x-C)+D[/tex]
Where A is the amplitude
[tex]B=\frac{2\pi}{\text{Period}}[/tex]
D is the vertical shift.
C is the horizontal shift or phase shift.
Comparing with the general form:
[tex]f(x)=3sin(\frac{x}{4}+1)-\frac{1}{2}[/tex]
Transform little bit we get,
[tex]f(x)=3sin(\frac{1}{4}(x-(-4)))-\frac{1}{2}[/tex]
a. Amplitude is [tex]A=3[/tex]
It is correct.
b. Vertical shift is [tex]D= -\frac{1}{2}[/tex]
it is correct.
c. Horizontal shift [tex]C=-4[/tex]
It is correct.
d. Period is [tex]P=\frac{2\pi}{B}[/tex]
[tex]P=\frac{2\pi}{\frac{1}{4}}[/tex]
[tex]P=8\pi[/tex]
It is not correct .
Actual period in graph is [tex]2\pi[/tex]
e. The horizontal expansion or compression
It also not correct because period is not correct.
The expansion and compression depends on the period.
Therefore, a , b, c are only applicable in the graph.
If y represents total earnings in dollars and x represents hours worked, then which equation models the wages of someone who makes $9.50 an hour?
A. x = 950x
B. y = 950x
C. x = 9.50x
D. y = 9.50x
Answers
Answer:
Option D is correct
[tex]y = 9.50x[/tex]
Step-by-step explanation:
Here, y represents total earnings in dollars and x represents hours worked.
As per the statement:
To find which equation models the wages of someone who makes $9.50 an hour.
[tex]\text{"\$9.50 an hour"}[/tex] translated to 9.50x
then;
the total earning in dollars we get;
[tex]y = 9.50x[/tex]
Therefore, an equation [tex]y = 9.50x[/tex] models the wages of someone who makes $9.50 an hour
25 POINTS PLEASE HELPIf the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is.
Answers
The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.
Explanation:The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.
Arithmetic sequence formula
:
Tn = T(n-1) + d
Where:
Tn is the nth termT(n-1) is the previous termd is the common differenceApplying this formula to find the sixth term:
Sixth term = Fifth term + Common difference
= 11 + 4
= 15
Therefore, the sixth term of the sequence is 15.
PLEASE HELP!!ABCD∼EFGH
AD=30 in. , EH=50 in. , and CD=15 in.
What is GH ?
Answers
You're answer is going to be -
GH= 25 inches
Explain)
A-D= 30 inches
Half of AD = 15 inches, therefore all you need to do is split the next set in half as well.
50 divided by two is 25, therefore you're answer is 25 inches.
Hope this helps you! Have a great rest of you're day!
~Alexa
Answer: GH =25 in.
Step-by-step explanation:
Given: [tex]ABCD\sim EFGH[/tex]
We know that if two polygons are similar then their corresponding sides are proportional.
Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]
Since, AD=30 in. , EH=50 in. , and CD=15 in.
Then we have ,
[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]
how many integer solutions are there to the equation x^3-5x^2+2x+13=5
Answers
To find the solutions to this, you can either graph it on a graphing calculator or factor it.
If you factor it, first set it equal to 0 by subtracting 5 from both this.
The you can factor it to: (x - 2)(x - 4)(x + 1) = 0
Using the zero product rule, our solutions are 2, 4, and -1.
There are 3 integer solutions.
Good luck,
MrEQ
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9
Answers
Is the product of 2/5 and 5 greater or less than 2/5? Is it greater or less than 5? explain your reasoning.
Answers
5 = 5/1 as a fraction
2/5 × 5/1 = 2
ANSWER:
The product of 2/5 and 5 is greater than 2/5, and less than 5.
Another way you could find out if it's greater or less is by converting the fraction to a decimal and then multiplying it.
You must divide the numerator by the denominator to convert a fraction to a decimal.
2 ÷ 5 = 0.4
0.4 × 5 = 2
Find the percent of discount. Round to nearest tenth.
Original price $24,365; selling price $16,820
Answers
Find the value of 'm' if (-m,2) is a solution of equation 4x+9y-6=0
Answers
-4m+12=0
-4m=-12
m=3
A conservation determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?
Answers
Answer:
0.989
Step-by-step explanation:
A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, the common ratio is 0.989
The required explicit formula to represent the amount of beach remaining each year will be y = a(0.011)^x
Exponential functionsExponential functions are inverse of trigonometry functions. The standard form of exponential function is expressed as:
y = ab^x
b is the rate
Given;
Rate = 1.1% = 0.011
The required explicit formula to represent the amount of beach remaining each year will be y = a(0.011)^x
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This figure shows circle C with diameter LM and inscribed ∠LMN .
m∠LMN=32°
What is the measure of arc LMN?
Enter your answer in the box.
Answers
Answer:
[tex]296^{\circ}[/tex]
Step-by-step explanation:
It is given that figure shows circle C with diameter LM and inscribed ∠LMN and m∠LMN=32° .
We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have
[tex]{\angle}NCL=2({\angle}LMN)[/tex]
Substituting the given values, we have
[tex]{\angle}NCL=2(32^{\circ})[/tex]
[tex]{\angle}NCL=64^{\circ}[/tex]
Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)
[tex]major{\angle}LCN=296^{\circ}[/tex]
Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].
If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
Answers
The required total bill would be $64.134 including of 18% tip.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
According to the question,
To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
= 54.35 [1 + 0.18]
= 54.35 (1.18) = 64.134
Thus, the required total bill would be $64.134.
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What are the x-intercepts of the quadratic function? f(x)=x2+2x−24
Answers
Answer:
Just took the test the answers are -6 and 4 for anyone else wondering! :)
Step-by-step explanation:
PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!
Solve 2 log 2x = 4. Round to the nearest thousandth if necessary
Answers
x = 50
Explanation:
Before we begin, remember the following:
logₐ (x) = b
is equivalent to:
aᵇ = x
log with no base written has the default base 10
Now, let's check the given:
2 log 2x = 4
We will start by dividing both sides by 2:
log 2x = 2
Now, applying the above rules, we can get the value of the x as follows:
log 2x = 2
10² = 2x
[tex] \frac{2x}{2} [/tex] = [tex] \frac{10^2}{2} [/tex]
x = 50
Hope this helps :)
Answer:
For [tex]2log2x=4[/tex] , x = 50
Step-by-step explanation:
Given : [tex]2log2x=4[/tex]
We have to find the value of x.
Consider the given [tex]2log2x=4[/tex]
Divide both side by 2, we have,
[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]
Simplify, we have,
[tex]\log _{10}\left(2x\right)=2[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)[/tex]
[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]
[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]
When log have same base, we have,
[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2x=100[/tex]
Divide both side by 2, we have,
[tex]x=50[/tex]
Thus, For [tex]2log2x=4[/tex] , x = 50
The masses of four planets in a solar system outside the Milky Way are given below.
Mass of Planet A: 5.97 × 10^24 kg
Mass of Planet B: 3.30 × 10^23 kg
Mass of Planet C: 1.89 × 10^27 kg
Mass of Planet D: 4.87 × 10^24 kg
What is the order of these planets from least to greatest mass?
-Planet C, Planet B, Planet D, Planet A
-Planet C, Planet A, Planet D, Planet B
-Planet B, Planet D, Planet A, Planet C
-Planet A, Planet D, Planet B, Planet C
Answers
Look at the exponents.
23 comes before 24 and 27. So 3.30 x 10 ^ 23 comes first. Next, 24, and there are 2, so go by the decimals, 4.87 comes before 5.97. So 4.87 x 10^24 comes before 5.97 x 10^24. Then, that leaves 1.89 x 10^27.
FAN AND MEDAL: NEED HELP PLEASE! Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.,
Answers
Maya recived exactly 93750 votes
HEY PEOPLE NEED HELP WITH 2 QUESTION PLZ ANSWER
Answers
My advice would to use this site that I found called math papa, it helps a lot in algebra. :)
Can somebody please help me with these two problems?
1. What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
2. What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5),
Answers
The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.
To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2 × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.
Problem 1:
The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.
Problem 2:
The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.
How can you minimize the risk from your investments?
A.) By investing in a stock with the highest volatility.
B.) By investing in a stock with maximum returns.
C.) By investing in a variety of investment options.
Will fan and medal,
Answers
You can minimize the risk from your investments by investing in a variety of investment options. The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy. Your investment portfolio should contain different types of investments so that the risk would be spread to these investments.
By investing in a variety of investment options will minimize the risk from your investments.
What is Investment?Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time
We need to find in which way we can minimize the risk from your investments.
Before you begin to invest, think about what returns you’re realistically expecting and be clear on what your investment goals are.
The greater the potential returns, the higher the level of risk.
The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy.
So one can minimize the risk from your investments by investing in a variety of investment options. Your investment should contain different types of investments so that the risk would be spread to these investments.
Hence, By investing in a variety of investment options will minimize the risk from your investments.
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f is between e and g, EF=7 and FG=6. find EG
Answers
------ (FG)
------ + ------- =
6 + 7 =
13
The measure of line segment EG is 13 cm.
Given that, F is between E and G, EF=7 and FG=6.
We need to find the measure of EG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions. In this lesson, we will learn more about a line segment, its symbol, and the way to measure a line segment.
Now, EG=EF+FG
⇒EG=7+6=13 cm
Therefore, the measure of line segment EG is 13 cm.
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How do you get 90 dollars per 5 hours to 180 dollars to BLANK amount of hours with the numbers of 10,15,45,216,360 to choose from?????
Answers
90x = 5 * 180 = 900
x = 10 Answer
What is the angle for a and b
Answers
a triangle is 180 degrees
180 - 40 = 140
140 /2 = 70
angle a and b are 70 degrees
∠a = ∠b
180 - 40 = 140
140 ÷ 2 = 70°
∠a = 70°
∠b = 70°
------------------------------------------------------------------
Answer: ∠A = 70° , ∠B = 70°
------------------------------------------------------------------
In P.E class, Janie ran 5 kilometers in 19 minutes 15 seconds. Based on this information, what was the constant of proportionality?
Answers
If AB=6and AC=8, which statement will justify similarity by SAS?
Answers
[tex]ab = 6 \: \: and \: \: ac = 8[/tex]
so we need to find the answer choice such that we can set up a proportion of sides that are equal
[tex] \frac{ab}{de} = \frac{ac}{df} [/tex]
plugging in choice we find choice 4 is correct because
[tex] \frac{15}{6} = \frac{20}{8} [/tex]
simplify and get
[tex]2.5 = 2.5[/tex]
this would mean the sides are similar of both triangles. now we can consider the angle were given and justify that both triangles are similar under choice 4