If x-2 is a factor of x^2+3x+k, what is the value of k?
Tyler has 3/4 of a month to write a book report. He finished the book in 2/3 that time. How much time did it take Tyler to write the report?
Find the length of XZ
geometry help
Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?
GCF 6x and 20xyz please help
The Greatest Common Factor (GCF) of 6x and 20xyz is determined by factorizing both terms and finding the common factors. Through this process, we find that 2x is the GCF.
Explanation:The question is asking for the Greatest Common Factor (GCF) of 6x and 20xyz. The GCF is the largest number or terms that divide both numbers exactly. To find the GCF, we usually list all the factors and select the largest one that is common to both. Let's break down the terms:
Write down the factorizations of each term, i.e., 6x= 2*3*x and 20xyz = 2*2*5*x*y*z.Find the common factors. In this case, we have 2 and x in common.2*x = 2x, so 2x is the GCF.Therefore, the greatest common factor of 6x and 20xyz is 2x.
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the product of 3x and (3x+1) is a t least 35
allison has 5 times as many baseball cards as football cards.in all,she has 120 baseball and football cards.how many baseball cards does she have?
Out of the total of 120 cards, Allison has 100 baseball cards.
Allison has a total of 120 baseball and football cards.
The baseball cards are 5 times the football cards so assuming the football cards were denoted as x, the baseball cards would be denoted as:
= 5 × x
= 5x
The cards in her possession can be found by solving for x:
Baseball cards + Football cards = 120
5x + x = 120
6x = 120
x = 120 / 6
x = 20 football cards
Baseball cards:
= 5x
= 5 x 20
= 100 baseball cards
In conclusion, she has 100 baseball cards.
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Estimate the amount of gas left in this cars gas tank with a fraction
The amount of gas left in this car's gas tank with a fraction of probably 3/8.
What are proper and improper fractions and how to convert mixed fractions to simple fractions?There is a fraction, containing a numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction. A proper fraction is also called a fraction that is less than 1.
We need to find the approx amount of gas left in this car's gas tank with a fraction.
So, the diagram shows the three levels as empty, half, and then full
We can see that the mark is a little less than half and greater than empty.
So it should be lies between 0 to 1/2.
Therefore, the amount of gas left in this car's gas tank with a fraction of probably 3/8.
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40 POINTER PLZ HELP
What is the value of the digits 5 in 75
Use multiplication to solve the proportion. Y/9=44/54. What is Y
To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.
Explanation:In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.
To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.
Multiply 9 by 44 and then divide by 54 to find Y
9 * 44 = 396
396 / 54 = 7.33
So, Y is approximately 7.33
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 items. Let c represent the number of additional customers Joshua must have to meet his goal. Drag and drop the answer into the box to correctly complete the statement.
Joshua needs 17 additional customers to meet his goal of selling more than 20 items at the farmers' market.
Explanation:To find the number of additional customers Joshua must have to meet his goal, we first need to calculate the number of items he has already sold. Joshua has sold 6 items, and each customer buys 2 items. So, the number of customers Joshua has served is 6 / 2 = 3 customers.
To meet his goal of selling more than 20 items, Joshua would need to have c additional customers. Therefore, the number of additional customers is 20 - 3 = 17 customers.
Final answer:
Joshua has sold 6 items and each customer buys 2. To meet his goal of selling more than 20 items, he must solve the inequality 6 + (2 × c) > 20 to find the number of additional customers needed. After solving, he needs more than 7 additional customers.
Explanation:
The subject question involves creating an algebraic expression to help Joshua determine the number of additional customers he must have to meet his goal of selling more than 20 items at a farmers' market. Joshua has already sold 6 items, and each customer buys 2 items. We let c represent the number of additional customers Joshua needs. To solve this problem, we need to create an algebraic equation and solve it for c.
Joshua's goal: sell > 20 items
Joshua's current sales: 6 items
Items per customer: 2 items
Additional customers needed: c
The equation will be:
6 + (2 × c) > 20
To find c, we subtract 6 from both sides of the inequality:
(2 × c) > 14
Then we divide both sides by 2:
c > 7
Therefore, Joshua needs more than 7 additional customers to meet his goal of selling more than 20 items.
What is LCD of the fraction 1/3 and 3 1/4
Solve for x: |2x + 6| − 4 = 20
What transformation takes f(x)= 4x−7 to g(x)= −4x−7 Question 1 options:
a reflection across the x-axis
a vertical shift 8 units down
a horizontal shift 8 units right
a reflection across the y-axis
Answer:
A reflection across the x-axissssss
Step-by-step explanation:
I hope this helps!
- sincerelynini
If a number is ____, then the number is less than its absolute value. (Can you help me fill in the blank?in class we were learning about positive and negative numbers such as -5 and 5 and/or +5)
Thank you!
The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
Answer:
16
Step-by-step explanation:
Answer:
B: 16 weeks
Step-by-step explanation:
If we are given the equation y = -27x + 577 and that
x = weeks
y = money left in account
Then you must replace 145 (the money) for y and solve for x (the weeks)
145 = -27x + 577
145 - 577 = -27x + 577 - 577
-432 = -27x
-432/-27 = -27x/-27
16 = x
This means that after 16 weeks Alma will have $145 left in her account
Hope this helped!
dawn raises money for her school in a jog-a-thon. she will get three dollars for every lamp she completes. if it takes 4 laps to job 1 mile, and dawn jogs q total of 11 miles, how much money will dawn raise for her school?
you finished 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?
what is 2a^2-14=-24 factored
You are painting the outside of a 28 -foot fence that goes around a square garden. There are 4 equal sections. You have painted 12 of one section. What fraction of the job have you completed?
Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?
Answer:
the smallest
Step-by-step explanation:
Help me with this problem 9x-(2x+8)=. And show your work? I'll be giving BRAINILEST!
Shana uses a probability simulator to pull colored stars from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:
Color of Star
Number of Times Pulled
Pink
17
Yellow
19
Violet
24
Heads 26
Tails 34
Using Shana's simulation, what is the probability of pulling a pink star and the coin landing on tails?
fraction 578 over 3,600
fraction 646 over 3,600
fraction 34 over 60
fraction 51 over 60
A function is shown below:
f(x) = (0.07)x
What does the function represent?
A. Exponential growth of 7%
B. Exponential decay of 7%
C .Exponential growth of 93%
D. Exponential decay of 93%
Answer:
D. Exponential decay of 93%Step-by-step explanation:
We are given an exponential function [tex]f(x) = (0.07)^x[/tex].
We know, the standard exponential function [tex]y= a(b)^x[/tex], where a is the initial value and b is growth factor.
If b is greater than 1, then it would be an Exponential growth and if b is less than 1, then it would be an Exponential decay.
Also b= 1+r, where r is the rate of decay or growth.
For the given function [tex]f(x) = (0.07)^x[/tex], we can see than b= 0.07.
0.07 is less than 1.
Therefore, it would be an Exponential decay.
Now, let us find rate of decay.
1+r = 0.07.
Subtracting both sides by 1, we get
r = 0.07-1 = -0.93.
In percentage it would be 93%.
Therefore, correct option would be
D. Exponential decay of 93%Write a Doubles fact you can use to find the sum. Write the sum 2+3
what is the rule for this sequence? 1, 4, 16, 64, 256
Final answer:
The rule for the given sequence is to multiply the previous term by 4. The sequence follows a pattern of 4 raised to the power of increasing integers starting from 0.
Explanation:
The sequence given is 1, 4, 16, 64, 256. To find the rule for this sequence, let’s examine the relationship between the consecutive numbers.
1 multiplied by 4 is 4
4 multiplied by 4 is 16
16 multiplied by 4 is 64
64 multiplied by 4 is 256
So, the rule for this sequence is to multiply the previous term by 4 to get the next term. Another way to express this is that each term is 4 to the power of n, where n is an increasing integer starting from 0 (4^0 = 1, 4^1 = 4, 4^2 = 16, and so on).
My uncle is 3 years less than twice my age. represent this as an algebraic expression
What is the value of g? 25(g−7)=3 Enter your answer in the box
Answer: The value of g is 7.12.
Explanation:
The given equation is,
[tex]25(g-7)=3[/tex]
Use distributive property to solve the equation.
[tex]25g-175=3[/tex]
Using addition property of equality add 175 both sides.
[tex]25g-175+175=3+175[/tex]
[tex]25g=178[/tex]
Using division property of equality, divide both sides by 25.
[tex]\frac{25g}{25} =\frac{178}{25}[/tex]
[tex]g=\frac{178}{25}[/tex]
[tex]g=7.12[/tex]
Therefore the value of g is 7.12.
To check the answer put the value of g in given equation.
[tex]25(7.12-7)=3[/tex]
[tex]25(0.12)=3[/tex]
[tex]3=3[/tex]
LHS is equal to RHS, therefore the value g=7.12 is correct.
Find the extraneous solution of the equation |2x−10|=−3x
For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.
Explanation:The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.
An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.
So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.
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