Answer:
[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]
Step-by-step explanation:
We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.
We are given the equation:
[tex]x^2+8x+10=3[/tex]
We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.
It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.
[tex]x^2+8x+10-3=3-3[/tex]
[tex]x^2+8x+(10-3)=0[/tex]
[tex]x^2+8x+7=0[/tex]
The equation in standard form is x²+8x+7=0
a house worth $350,000 when purchased was worth 335,000 after the first year and $320,000 after the second year. if the economy does not pick up and his trend continues, what will be the value of the house after 6 years? ( process step by step)
Answer:
260,000
15,000*6 = 90,000
350,000 - 90,000 = 260,000
Step-by-step explanation:
mark brainliest
Is it SSS or SAS. Please helpp
Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants to be at the airport 1 hour and 15 minutes before his flight leaves. What is the latest time that Jacob can leave for the airport?
Plzzzz help
Answer:
The latest time is 12:00
Step-by-step explanation:
take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00
Answer:
11:00
Step-by-step explanation:
if he leaves at 11:00 it’s takes an hour to get there. So when he gets there it’s 12:00 Add an hour 15 and you get 1:15
helpppp????
please .
Answer:
x = -4
Step-by-step explanation:
[tex]6x + 29 = 5 \\ 6x = 5 - 29 \\ 6x = - 24 \\ x = \frac{ - 24}{6} \\ x = - 4[/tex]
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examining the records for all the students, the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid. Calculate the standard error of your estimate. 3.7061
Answer:
Standard error (S.E) = 0.048 ≅ 0.05
Step-by-step explanation:
Explanation:-
Given sample size 'n'=76
Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.
Sample proportion
[tex]p = \frac{x}{n} = \frac{58}{76} = 0.7631[/tex]
The standard error is determined by
[tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]S.E = \sqrt{\frac{0.763(0.2369}{76} }[/tex]
Standard error is 0.048 ≅ 0.05
Find (f/g)(x)
f(x)=√ x^2-1
g(x)√ x-1
A. √ x+1
B. √ x-1
C.√ -x^2/-x+1
D.√ 1/x+1
Answer:
option A is the Answer
Step-by-step explanation:
hope it helps
Need help Do today please
Answer:
Step-by-step explanation:
OKay
Just use
slope formula
(y2-y1)/(x2-x1)
Help with quadratic! Really struggling with this
Answer:
Step-by-step explanation:
The equation
[tex]G(h)=-3h^2+24h+47[/tex]
represents the grade you are going to earn which is represented by G(h) where h in the equation is the hours you study the week before.
Part A) Is totally up to you because in the question it asks What's the best possible grade you can earn with your current study habits lets say if you study around 4 hours the week before the test. Which means the value of h should be 4 because h represents hours in the equation.
so ,
[tex]G(h)=-3h^2+24h+47\\G(4)=-3(4)^2+24(4)+47\\G(4)=-48+96+47\\G(4)=95\\[/tex]
So if you studied for 4 hours the week before the test you are going to score 95 marks which would be an A* grade.
Part B) In this part it asks you the maximum amount of study time you will need to have to earn that grade which means how many maximum hours you would need to earn a total of 95 marks which is 4.
Part C) The y-intercept is the constant in the equation in this case +47 is y-intercept and in the context of the problem it denotes that if you studied for 0 hours you would still earn 47 marks on the test, which would result you failing the test.
Part D) How many hours would you need to complete and still earn a zero would be:
[tex]G(h)=-3h^2+24h+47\\-3h^2+24h+47=0[/tex]
because it says still earn a zero which means the grade is zero so now we solve the equation.
[tex]-3h^2+24h+47=0\\3h^2-24h-47=0\\[/tex]
using the quadratic formula we get two values for h which are
h = 9.627 and h = -1.627 so eventually hours can never be in negative its impossible you can't study for -1.627 so our answer is 9.627 hours and you would still earn a zero after studying approximately 9.6 hours.
Part E) The grade that you will earn if you studied for 5 hours is:
[tex]G(h)=-3h^2+24h+47\\G(5)=-3(5)^2+24(5)+47\\G(5)= -75+120+47\\G(5)=92\\[/tex]
You would earn 92 marks which would result in an A* grade
Answer:
(A) 95
(B) h=4
(C) 47, represents 0 hours of study
(D) h=9.63
(E) 92
Step-by-step explanation:
(A) They are asking for the maximum of the graph of the equation which can be found using the vertex formula:
[tex]max= c-\frac{b^2}{4a}[/tex]
where 'a' is the coefficient of the first term, 'b' is the coefficient of the second term and 'c' is the third term.
So we have:
[tex]max=47-\frac{(24)^2}{4(-3)} = 95[/tex]
(B) To find the hours of study required to get 95 we need to set the equation equal to 95:
[tex]-3h^2+24h+47=95[/tex]
which can be rewritten as:
[tex]-3h^2+24h+47-95=0[/tex]
or
[tex]-3h^2+24h-48=0[/tex]
When we solve for 'h' we get h = 4
Therefore, studying 4 hours gives us a grade of 95, which is the maximum score from the equation.
(C) The function G(h) is our y and h is our x values. To find the y intercept, x (which is h in the equation) must be set to 0 and solved for y. This is because the y intercept is at the point where x =0.
So we have:
[tex]G(h)=-3(0)+24(0)+47\\ =0+0+47\\ =47[/tex]
This is when h=0 and therefore is represents the grade when 0 hours of studying is done.
(D) To find how many hours of study can still produce a grade of 0, we need to set the function equal to 0 and solve for h.
[tex]-3h^2+24h+47=0\\[/tex]
This gives us two results when solved quadratically:
[tex]h=-1.63[/tex] and [tex]h=9.63[/tex]
Obviously, time cannot be negative so the answer is 9.63 hours.
(E) If we study for 5 hours, h should be equal to 5.
So substituting 5 for h we get:
[tex]-3(5)^2+24(5)+47=92[/tex]
So 5 hours of study affords us a grade of 92.
Hope that explains it.
Which quantity is proportional 12/4
Answer:
3/4
Step-by-step explanation:
What is 31/26 simplified?
Answer:
it cant be simplified
Step-by-step explanation:
Answer:
1 5/26 i used a calculator
QUICK HELP HURRY MAKRIMG PIEPLE AS BRIANLDIT
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
-6•f(-3) - 5.9(-7) khan academy
A rectangle has a length of x+ 4 centimeters and a width of x centamentere the perimeter of the rectangle is 28cm what is the value of x
Answer: The perimeter of the rectangle is 28 centimeters.
Step-by-step explanation: I hope this helps-
Answer:
x=10
Step-by-step explanation:
x+4+x=24
2x=20
x=10
Solve the system.
2x + 3y -
2z =
-7
2
x – 2y + 4z = 15
2y + z = = 1
Enter your answer as an ordered triple.
([?],[ ], [ ]
Enter
Answer:
(1, -1, 3)
Step-by-step explanation:
Given system of linear equations is,
2x + 3y - 2z = -7 ---------- (1)
x - 2y + 4z = 15 ------- (2)
2y + z = 1 ------------ (3)
Equation (2) multiplied by 2 then subtracted from equation (1),
(2x + 3y - 2z) - 2(x - 2y + 4z) = -7 - 30
(2x - 2x) + (3y + 4y) + (-2z - 8z) = -37
7y - 10z = -37 ------ (4)
Equation (3) multiplied by 10 then added to equation (4),
(20y + 10z) + (7y - 10z) = 10 - 37
27y = -27
y = -1
From equation (3),
2(-1) + z = 1
-2 + z = 1
z = 3
From equation (2),
x - 2(-1) + 4(3) = 15
x + 2 + 12 = 15
x + 14 = 15
x = 1
pls ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Hi there!
[tex]\large\boxed{ 9.4m}[/tex]
Find the perimeter using the formula:
P = 2l + 2w
It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:
P = 2(2.8) + 2(1.9)
P = 5.6 + 3.8
P = 9.4m
Here are the numbers of children in 15 elementary school classes. 17, 17, 18, 16, 16, 17, 17, 16, 19, 17, 20, 16, 18, 18, 18 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode.' JI
Answer:
mode = 17
Step-by-step explanation:
mode is the most common appearance of numbers in a dataset.
17 has 5 appearances
please click the heart button to give thanks :)
Please help me with this problem will give branlyiest.
Mr. Thompson, a retiree, looks at his check register. What is Mr. Thompson's yearly rent (using 12 months)? $______ What was the average grocery expense in this time period? $_________ Knowing that he buys groceries weekly, Mr. Thompson estimates his yearly expense for groceries to be (4*12* $______ or $_____ Then, Mr. Thompson realizes there are more than 48 weeks in a year. He revises his estimate using (52 x $______ to get $_______ for his estimate. Based on the calculations above, how much money should Mr. Thompson budget annually for food and rent? $______ If Mr. Thompson receives $1,006.28 twelve (12) times a year, what is his yearly income? $_______ Expressed as a percent of income, enter an estimate for rent (to the nearest tenth) and food expenses. Rent: ______%; Food: _____%
Answer:
$2459.04
$32.31
$33.45 or $34.92
$32.31
$1680.12
$4139.16
$12075.36
20.4% and 3.2%
Step-by-step explanation:
Monthly rent is 204.92, so yearly rent is 204.92 * 12 = 2459.04
His average grocery expenses is the sum of all the grocery expenses, divided by the number of times he did them
33.45 + 34.92 + 28.56 = 96.93
96.93 / 3 = 32.31
33.45 or 34.92
Since he's revising the calculation, and he does groceries once a week, we will multiply the average he spent on grocery by the 52 weeks he's using in calculations. So, 32.31
The estimate for grocery in a year is,
52 * 32.31 = 1680.12
His annual budget for food and rent would be adding the estimated amount he's to spend on grocery together with the estimated amount he's to spend on rent
2459.04 + 1680.12 = 4139.16
If he receives 1006.28 in a month, multiplying by 12 would give us the estimate he's to receive in a year.
1006.28 * 12 = 12075.36
Percentage
Rent = 204.92 / 1006.28 * 100%
Rent = 20.4%
Food = 32.31 / 1006.28 * 100%
Food = 3.2%
Don't forget the brainliest :)
Will give brailyest!!!!
what makes farming possible in Central Asia's dry climate?
a. annual floods.
b. irritation systems
c. seasonal droughts
d. tropical storms
Answer:
I think its a
Step-by-step explanation:
Answer: B
Step-by-step explanation: EDGE 2021
Tim worked 23 hours and earned $6.50 per hour. Round the number of hours Tim worked to the nearest ten and round his hourly pay to the nearest dollar to estimate how much he will be paid.
Step-by-step explanation:
23=20. $6.50=$7
20x7=$140
Answer:
first step is 20. Second step is 7.00$. He will make 140.00$ an hour.
Step-by-step explanation:
For the following equation, complete the given ordered pairs.
3x + y = 10 (__, 1), (2, __)
A.
(10, 1), (2, 12)
B.
(0, 1), (2, 3)
C.
(3, 1), (2, 4)
D.
(2, 1), (2, 5)
A social researcher is interested in the number of children in the households of City A that receive welfare. He does not have funding for a census nor access to official city records. How can the researcher accomplish his task using descriptive statistics tools?
Answer:
Descriptive Statistics is used to collect, organize and summarize sample data.
Step-by-step explanation:
Descriptive Statistics is used to collect, organize and summarize sample data.
First of all he will collect a sample or maybe samples. A sample is a subset of the data drawn from the population. Here it will be the number of children from different households.
Populations can be described by parameters . These parameters can be inferred on the sample parameters. For example the population mean , population variance can be estimated by sample mean and sample mean.
These variables can be further categorized as discrete.
Now he will apply various test to check whether the inferences drawn about the population are true or not.
Jacob went to the movie theater. The movie ticket cost him $8.00. He spent twice the amount of the movie ticket at the concession stand. How much did he spend at the movie theater in all?
Answer:
24$
Step-by-step explanation:
Dr. Graves placed the Venn Diagram and list of numbers on the board.
-0.24, 5/17, 287, 1.3, -91, -2 2/5
She asked her students to determine the label for each set of numbers and place each number in the Venn diagram. Which Venn diagram shows the labels and numbers accurately displayed?
Answer:
JStep-by-step explanation:
List of numbers on the board:
-0.24, 5/17, 287, 1.3, -91, -2 2/5We can split the numbers as following
Rational numbers:
All listedIntegers:
287 and -91Whole numbers:
287Correct diagram is J
What is the root of the polynomial equation x (x minus 2) (x + 3) = 18? Use a graphing calculator and a system of equations. –3 0 2 3
Answer:
D) 3
Step-by-step explanation:
Using the graphing calculator, the roots of the polynomial equation are 3
What are polynomial functions?They are functions that has a degree of 3 and above. Given the expression
x(x-2)(x+3) = 18
Expand
(x²-2x)(x+3) = 18
x³+3x²-2x² -6x-18 = 0
x³+x² -6x-18 = 0
Using the graphing calculator, the roots of the polynomial equation are 3
Learn more on factoring here: https://brainly.com/question/24734894
#SPJ2
Toy shop purchases 125 identical stuffed animals for total cost of 312.50 thousand for seven dollars each what is the percent markup
Answer:
0.4
Step-by-step explanation:
por que tienes que aser una division
What is 820 milliliters equal to in liters?
Answer:
0.82 L
Step-by-step explanation:
Answer: 0.82 liters
Step-by-step explanation:
which type of plate boundary is illustrated in each of the following figures below
Answer:
SEXXXXXXXZZZZZz
Step-by-step explanation:
AJ is writing a report about Calvin Coolidge. He's including information about the former president's early days. Should he quote directly from a biography of Coolidge or paraphrase the information? Why?️
In the figure above, the circle with center O is inscribed in square ABC
Line segment AO intersects the circle at P. What is the length of AP?
Step-by-step explanation:
Line AP = Line AO - Line PO = sqrt2 - 1.
How to write the slope intercept for of
y = -1/2 (x-4)
Answer:
y=-1/2 +2
Step-by-step explanation:
Match each set of numbers with their least common multiple.
Answer:
25 and 8) = 200
(32,24 and 18) =288
(22 and 4)=44
(14 and 12) = 84
(9,8 and 7)= 504
(27,12 and 36) =108
Answer:
top down: 200, 288, 44, 84, 504, 108
Step-by-step explanation:
The least common multiple (LCM) can be figured a couple of ways.
a) factor the numbers, then form the product of unique factors (to their highest powers)
b) divide the product of the numbers by their greatest common factor (GCF). Factoring or Euclid's method can be used to find the GCF.
When there are more than two numbers, the LCM can be figured for two of them, then for that result and the next number, and so on.
__
25 and 8 have no common factors, so their LCM is their product: 200
__
32 and 24 have 8 as their GCF, so their LCM is 32·24/8 = 96. 96 and 18 have 6 as their GCF, so their LCM is 96·18/6 = 288
__
22 and 4 have 2 as their GCF, so their LCM is 22·4/2 = 44
__
14 and 12 have 2 as their GCF, so their LCM is 14·12/2 = 84
__
9, 8, 7 have no common factors, so their LCM is their product: 9·8·7 = 504
__
27 and 12 have 3 as their GCF, so their LCM is 27·12/3 = 108. 108 is a multiple of 36, so their LCM is 108.