Answer: -___-
Step-by-step explanation:
Which of the following expressions correctly describes Completing the Square?
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
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The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
a= -1
b= 7
c= 0
Step-by-step explanation:
equation is
y=h(x)(x-7)
let x be 5 and y be 10 to solve for a
10=h(5)(5-7)
10=h(-10)
h=-1
now equation is
y= -x²+7x
so a=-1
b=7
c=0
The value of a is -1, the value of b is 7 and the value of c will be equal to zero.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data provided in the question,
y = h(x) × (x-7)
let x be 5 and y be 10 to solve for a
10=h(5) × (5-7)
10 = h(-10)
h = -1
now equation is
y = -x²+7x
So,
a = -1
b = 7
c = 0
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can you help me find the slope of the line?
Answer:
0
Step-by-step explanation:
slope formula of a line is as follows:
m = Y2 - Y1/ X2 -X1
and so we'll now plot the given points.
note - the 1st values inside the brackets are that of the x values and the ones that come next are the y values of the given line.
now granted, we'll calculate the change of y and then divide it by the change of x
which is simply -5-(-5)/5-(-2) = 0.
|3x - 5| = |6x - 1|
Answer:
x = -4/3
Step-by-step explanation:
|3x - 5| = |6x - 1|
=> 3x - 5 = 6x - 1
=> 1 - 5 = 6x - 3x
=> -4 = 3x
=> x = -4/3
Hoped this helped.
Answer:
x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....
Step-by-step explanation:
3x - 5 = 6x - 1
Move the 3x to the other side by subtracting, because the 3x is positive on the left side.
-5 = 3x - 1
Move -1 to the other side by adding.
-4 = 3x
Divide by 3 to get x
[tex]\frac{-4}{3}[/tex] = x
Hope this helps! <3
A graph is shown below:
Whích of the following inequalities is best represented by this graph? (4 points)
Answer:
5x -y ≥ 2
Step-by-step explanation:
The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).
The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...
ax -by ≥ c . . . . . for some positive values of a, b, c
This eliminates choice C and indicates the correct choice is the last one:
5x -y ≥ 2
An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?
Answer:
$480
Step-by-step explanation:
400 × .20 = 80
the retailer got an extra 20% or $80 for the machine.
$400 + $80 = $480
The customer paid $480 for the washing machine.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
17
Step-by-step explanation:
Answer:
The hypotenuse is 17.
Step-by-step explanation:
a^2+b^2=c^2.
Let's plug in a and b.
15^2 + 8^2 = c^2
Simply.
225+64=c^2
Add.
289=c^2.
Square 289 and c^2 to cancel out the ^2.
17=c
The hypotenuse is 17.
Hope I helped. :)
Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,
Answer:
Y-intercept: -3
Equation: y = -2/3x -3
Step-by-step explanation:
Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept
Substitute m with -2/3, your equation should now be y = -2/3x + b
To find the y-intercept, plug in the point (-12,5) and solve for b.
1. 5 = -2/3(-12) + b
2. 5 = 8 + b
3. b = 8 - 5
4. b = 3
if the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
-10
Step-by-step explanation:
The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.
[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]
-10 (x) should be the input number.
Answer:
x = -10
Step-by-step explanation:
Equation:
-52 = 5x - 2 [tex]\longmapsto[/tex] Add 2 to both sides
-50 = 5x [tex]\longmapsto[/tex] Divide both sides by 10
x = -10
-Chetan K
Someone help please?
Answer:21.9FM
Step-by-step explanation:
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
Question=Q
Q8=60.1
Q9=
Urgent! At a baseball game, a vender sold a combined total of 241 sodas and hot dogs. The number of sodas sold was 55 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Sodas = 148
Hot dogs = 93
Step-by-step explanation:
Let S and H stand for the number of Sodas and Hot dogs, respectively.
We are told that:
H + S = 241
We are also told that:
S = H + 55
Use the second expression for S (H+55) in the first equation:
H + S = 241
H + (H+55) = 241
2H + 55 = 241
2H = 186
H = 93
Since H = 93,
S = 93+55, or 148
148 + 93 = 241 [Checks]
Sodas = 148
Hot dogs = 93
Find the perimeter. Simplify your answer.
Answer:
6z-30 :D
Step-by-step explanation:
The perimeter of a square is just all the sides added up together. To do this we can make an equation.
2(z-5) + 2(2z - 10)
This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.
2z - 10 + 2(2z - 10)
We then use the distributive property by multiplying 2z - 10 by 2.
2z − 10 + 4z − 20
We then combine 2z and 4z to get 6z.
6z − 10 − 20
Subtract 20 from 10 to get -30.
6z-30.
Answer:
6z - 30Step-by-step explanation:
Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10
= 6z - 30...ans
Hope it Helps you!!y = 7 - 3x x=4 what is the ordered pair
Answer:
(4, -5)
Step-by-step explanation:
[tex]y=7-3x\\y=7-3(4)\\y=7-12\\y=-5[/tex]
YES I Am GIVING A BRAINLIST pls be accurate
One equation in a system of equations is y = 4x + 5. Which equation below would have to be the second equation so that the system has (1, 9) as its only solution?
Question 5 options:
y = 3x - 1
y = 5x + 4
y = -2x - 8
y = 6x - 8
Answer:
y = 5x +4
Step-by-step explanation:
x has to equal 1
y = 5(1) +4 = 9
If you estimate 124x22 by rounding to the nearest ten, will you get an overestimate or an underestimate?
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
what is a two way frequency table
Answer:
A two-way table is a way to display frequencies for two different categories gathered from a one group of people.
Step-by-step explanation:
Answer:
A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Step-by-step explanation:
There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?
43 is the number of students were present in that class on Monday
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 50 students in one of Mr. Rudolph's physical education classes.
On Monday, 14% of the students were absent from that dass.
We have to find the number of students were present in that dass
on Monday.
Let us find 14% of 50
14/100 ×50
0.14×50
7 students were absent.
Now 50-7=43 students.
Hence, 43 number of students were present in that class on Monday
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How to solve quadratic inequalities.
Answer:
Find the "=0" points
in between the "=0" points, are intervals that are either
greater than zero (>0), or
less than zero (<0)
then pick a test value to find out which it is (>0 or <0)
x + y = 3
2x + 2y = 6
Answer:
x = Infinite answers.
y = Infinite answers.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
2x + 2y = 6
2x + 2y = 6
=> Therefore, x and y have infinite values that can fit the equation.
Hoped this helped.
The fraction 7/12 is found between which pair of numbers on a number line?
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
NEED ASAP PLEASE SHOW WORK! Follow the directions and solve this sequence for the first 10 terms:-3,-12,-48,-192
A.
CR: 4
10th term: -262,144
B.
CR:-4
10th term: 786,432
C.
CR:4
10th term: - 786,4323
Answer: B (786,432)
Geometric sequence follows by multiplying by 4.
-3
-12
-48
-192
-768
-3072
-12288
-49152
-196,608
-786,432
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
No of student can be found using x+y=total
X+y=total
Concept
Step-by-step explanation:
Let vans be x
Let bas be y
14x+6y=564
4x+6y=414
With that you can get the answer am sorry I couldn't give the appropriate answer I only showed the way am in a trip that's why
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $20 . For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1900 . How many tickets of each type were sold?
Answer:
600 Advance tickets 1,300 same-day tickets
Step-by-step explanation:
65x20=1,300
1900-1,300=600
Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63
f (x)=x^2 what is g (x)
Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
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A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?
Step-by-step explanation:
10+6 = 16
since 112/16 = 7
add 7*10 white and 7*6 striped
Answer:
Alright, solve 10 + 6 = 16
Place a proportion of 10 / 16 and 6 / 16
Multiply 10 and 112, and 6 and 112, and divide both by 16
This will get you 70 / 42
70 / 42 = 10 / 6
70 * 6 = 420, 42 * 10 = 420
420 = 420
70 white golf balls, and 42 striped.
Step-by-step explanation:
Im sorry for lagging man :( i hope that helps
There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
Answer:293
Step-by-step explanation:
720-719= 1
1+292= 293