To find the x-intercepts, set the trinomial equal to zero and solve for x. Substitute x = 0 to find the y-intercept.
Explanation:To find the x-intercepts of a trinomial, you need to set the trinomial equal to zero and solve for x.
In the example given (x^2-10x+25), you would set the trinomial equal to zero as follows:
x^2-10x+25 = 0
Now, you can factor the trinomial or use the quadratic formula to solve for x. In this case, the trinomial can be factored as (x-5)(x-5) = 0.
So, the x-intercept is x = 5.
The y-intercept can be found by substituting x = 0 into the trinomial. In this case, when x = 0, the trinomial becomes y = 25.
So, the y-intercept is (0, 25).
The sum of negative eighteen and a number is eleven. what is the number? which equation could be used to solve the problem? x - 18 = 11 18 - x = 11 -x 18 = 11 x 18 = 11 user: solve for y. y - 12 = -10 y = 22 y = -22 y = -2 y = 2
What is the value of the x-coordinate of the vertex of the function shown below?
f(x)=(x+4)(x-2)
...?
Compute the series 1 2/3 4/9 8/27 16/81
how do you solve ky-bf=fy/m?
Final answer:
To solve the equation ky - bf = fy/m, you need to isolate the variable y. The steps are to distribute the k, add kf to both sides, and factor out y. The solution is y = (fy/m + kf)/k.
Explanation:
To solve the equation ky - bf = fy/m, we first want to isolate the variable y. Here are the steps:
Distribute the k to both terms in the equation: ky - bf = fy/m becomes ky - kf = fy/m.
Add kf to both sides of the equation: ky - kf + kf = fy/m + kf simplifies to ky = fy/m + kf.
Factor out y on the left side of the equation: y(k) = fy/m + kf becomes y = (fy/m + kf)/k.
So, the solution is y = (fy/m + kf)/k.
What is 1/50 as a percent and decimal?
The fraction 1/50 is equivalent to 0.02 as a decimal.
To convert 1/50 to a percent, we multiply the fraction by 100:
= 1/50 x 100
= 2%
Therefore, 1/50 is equivalent to 2% as a percent.
To convert 1/50 to a decimal, we divide the numerator (1) by the denominator (50):
= 1 ÷ 50
= 0.02
Therefore, 1/50 is equivalent to 0.02 as a decimal.
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The perimeter of a rectangular garden is 368 feet. If the width of the garden is 86 feet, what is its length?
Which type of transformation does NOT result in a figure that is congruent to the original one?
Answer:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.
Step-by-step explanation:
264 shared in ratio 2:3:1
two cassettes and three CDs cost $175 while four cassettes and one cd cost $125. Given that one cassette costs 5x and one cd costs 5y , write two equations in x and y to represent the information.
How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards hold?
30 : 48 as a ratio in simplest form
How do you say happy in spanish?
Answer:
There are a few ways of saying happy in Spanish such as:
-Feliz
-Alegre
-Contento
Any of the three opcións are help
What is ��1.95 x 6thanks?
What are composite numbers in 50?
Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?
z = (x - 500) / 100
1.75 = (x - 500) / 100
175 = x - 500
675 = x
Answer:
A, 675
Step-by-step explanation:
(6.6x10^4)(7x10^3 sientific notation
Solve the system and explain what the results mean according to your scenario.
2x + y = 9
3x + 4y = 26
...?
Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.
Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?
a.
No, Common Bank will save Sharon more money.
b.
Yes, First State Bank will save Sharon money.
c.
No, First State Bank and Common Bank would have the same costs for Sharon.
d.
No, costs cannot be estimated in advance, so this information cannot be used.
Answer:
(a)
Step-by-step explanation:
Two banks: First state bank and common bank are compared in the table based on the prices of both the banks.
After observing, we come to the conclusion that holding a first state bank will charge a monthly fee of $4 whereas in common bank there is no monthly fee.
Secondly, non sufficient bonds are cheaper in common bank as compared to first state bank.
Also, 2nd back statement is charged as $7 and $ 3 for each transaction under first state bank and common bank respectively.
Hence common bank is cheaper. Therefore,(a) common bank will save Sharon more money.
Answer:
Sharon is comparing two banks - First state bank and Common bank
The table below is comparing both the banks.
We can see that the first state bank has a monthly fee of $4 while there is no such charge in common bank. The second thing is non sufficient funds which is less in common bank. Thirdly, the 2nd copy charges of the common bank is cheaper(though this is not needed by Sharon).The ATM usage charges of common bank is also cheaper.
Comparing everything we can say that option A is the answer.
Which function below has the largest slope?
f(x)
x f(x)
2 4
4 12
6 20
g(x)
g(x)=10x - 4
h(x)
Lance gains 1 level each time he plays his favorite video game. He started at level 10.
f(x)
g(x)
h(x)
The functions all have the same slope
please help me
consider the following equations :
A) 2x+3y=12
B) 2x+3y=6
How will the graphs of the two equations differ from each other ?
The graphs of the two equations differ from each other because they have different y intercepts.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
The first equation is given by:
2x + 3y = 12
3y = -2x + 12
y = (-2/3)x + 12 (1)
Hence the first equation has a slope of -2/3 and y intercept of 12.
The second equation is given by:
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 6 (2)
Hence the second equation has a slope of -2/3 and y intercept of 6.
The graphs of the two equations differ from each other because they have different y intercepts.
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What is the pattern for 43 36 29 22?
Find the unit rate. Round to the nearest tenth. 344 miles in 11 hours
i try and try i still don't get it please anybody could help me please =(
Jane has 6 more than half the number pairs of shoes that merie has write an expression for this
Find the GCF of the following literal terms.
m^7n^4p^3 and mn^12p^5
Rewrite 5x(12+7) using distributive property
To rewrite 5x(12+7) using the distributive property, we distribute the 5x to both terms inside the parentheses. The final answer is 95.
Explanation:To rewrite 5x(12+7) using the distributive property, we need to distribute the 5x to both terms inside the parentheses.
First, let's distribute the 5 to the 12:
5 x 12 = 60
Next, let's distribute the 5 to the 7:
5 x 7 = 35
Putting it all together, we have:
5x(12+7) = 5x12 + 5x7 = 60 + 35 = 95
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The correct rewritten expression using the distributive property is [tex]\( 5x \times 12 + 5x \times 7 \).[/tex]
To rewrite the expression 5x(12+7) using the distributive property, one must multiply the term outside the parentheses, 5x , by each term inside the parentheses.
The distributive property states that a(b+c) = ab + ac
Applying this property to the given expression, we have:
[tex]\[ 5x(12+7) = 5x \times 12 + 5x \times 7 \][/tex]
Now, we can simplify the expression by performing the multiplication:
[tex]\[ 5x \times 12 = 60x \][/tex]
[tex]\[ 5x \times 7 = 35x \][/tex]
Combining these results, we get the final simplified expression:
[tex]\[ 60x + 35x = 95x \][/tex]
Therefore, the expression 5x(12+7) simplifies to 95x when the distributive property is applied and the multiplication is carried out.
Divide 9 by z expression
Solve for x.
x/36= 16/24
16
24
36
54
write 14/5 as a mixed number in simplest terms.
Answer: 2 and 4/5
Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.
[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4
Therefore, 14/5 can be written as the mixed number 2 and 4/5.
Please Help!!!!!
The function q(w)=3+5(w−1) represents the number of quarters in a bowl on week w.
What does the value 5 represent in this situation?
Quarters were added to the bowl for 5 weeks.
Five quarters are added to the bowl every week.
There were 5 quarters in the bowl on Week 1.
The value of the quarters in the bowl on Week 1 was $5.
The function p(t) represents the population of a certain town t years after 2010.
p(t)=3476(0.97)^t
What does the value 3476 represent in this situation?
Every year after 2010, the population increases by 3476.
Every year after 2010, the population decreases by 3476.
The population of the town in 2010 is 3476.
The population t years after 2010 is 3476.
Answer:
For number 2:
Step-by-step explanation:
The tables shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. Which graph could represent the data shown in the table?
Let
[tex] A(1,61) B(2,125) C(3,177) D(4,242) [/tex]
Using a graph tool
see the attached figure N 1
therefore
the answer is the option A
see the attached figure N 2
The correct answer is:
Graph A.
Explanation:
We can eliminate the last two graphs as they decrease; the numbers in this table continually increase.
To determine if it is graph A or graph B, we look at the spacing between the points. In the first graph, there is a steep jump between the first two points. The next two points increase more slowly, and there is another jump between the last two.
In the second graph, there is a slight increase between each pair of points. This does not match the data in the table; the first two points increase from 61 to 125, whereas the next two points go from 125 to 177, which is a smaller increase. This means the correct graph is graph A.