write the equation of a porabola whose vertex is (2,5) and passes through the point (1, 1)
Answer:
y=5-4(x-2)^2
Step-by-step explanation:
what are the last ones
0.75 cups and 144 teaspoons
Step-by-step explanation:
I'm 99.99% sure I got it right
Write the following equation in slope intercept form.
7x-4y=22
y= x+
Answer:
y= -7x+22/-4
Step-by-step explanation:
Answer:
y=7/4x-11/2
Step-by-step explanation:
Move the Y and x values to separate sides
-4y=-7x+22
divide whatever it takes to make y alone (dived by -4)
y=7/4x-11/2
Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a down payment for a new car, it was worth a total of $7,739.05.
Which equation describes Meredith's investment based on t, the number of years she kept the account open?
HINT: total worth= investment amount (1.05)^t
A: t= $7,739.05 ($5,500)^ 0.05
B: $7,739.05= $5,500 (1.05) ^t
C: t= $7,739.05 ($5,500)^ 1.05
D: $7,739.05 $5,500 (0.05) ^t
PLEASE HELP ME ASAP
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
T = 5.79 (approximated)
Step-by-step explanation:
Using I = PRT/100
where P = The principal amount invested = $5500
R = Rate of Interest =5%
T = Time (in years)
I = Interest = $7,739.05 - $5500 = $2239.05
Substituting the above values in the formula
I = PRT/100 becomes
2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides
2239.05 * 100 = 100 * 7739.05 * 5 * t / 100
223905 = 7739.05 * 5 * t
223905 = 38695.25t
Divide both sides by 38695.25t
223905/38695.25 = t
5.786369 = t
T = 5.79 (approximated)
Mrs. Flossi is hosting a trivia contest for 40 students and 24 staff members. To be fair,
Mrs. Flossi wants there to be the same number of students and the same number of
staff members on each team.
What is the greatest number of teams Mrs. Flossi can make?
1. 3 teams
2. 4 teams
3. 5 teams
4.8 teams
(I WILL GIVE BRAINLIEST)
Answer:
8 teams is answer
Step-by-step explanation:
What value of x makes this equation true? 0.6x − 5 = 0.1x + 7
Answer:
Step-by-step explanation:
0.6x − 5 = 0.1x + 7
.6x-.1x=.5x
.5x -5 = 7
7 + 5 = 12
.5x = 12
12/.5 = 24
x = 24
Find the midpoint of the line with endpoints G(-4,4) and H(6,4)
Answer:
(1,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
The answers are on the pic
please answer fast!!
Answer:
27
Step-by-step explanation:
What was the purpose for the creation of the Pythagorean theorem?
Answer:
Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.
Step-by-step explanation:
Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?
Answer:
Correct Choice: Second Option
[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]
Step-by-step explanation:
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]5x = 6x^2 -3[/tex]
Rearranging all the terms to the left side:
[tex]6x^2 -5x- 3=0[/tex]
Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:
[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]
[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]
[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]
Correct Choice: Second Option
simplify 6^-3
Please I need this asap!!!!
Answer:
Exact Form:
1 /216
Step-by-step explanation:
Jamil finds that he reads 1/5 of his 115-page book in 1/4 hour
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
If you can walk 3 miles in an hour, how many miles can you walk in 30 minutes, given the
3
same pace?
A. 1 1/6 miles
B. 1 2/3miles
C. 6 2/3miles
D. 1 1/3 miles
Multiply. Write your answer as a fraction in simplest form.
5/6⋅(−4 1/2)⋅(−2 1/5)=
Answer:
7425
Step-by-step explanation:
First let's make the last two fractions improper.
-4 1/2 = -9/2 -2 1/5 = -11/5
Now we have to find the least common denominator.
[tex]\frac{5}{6} *\frac{-9}{2}*\frac{-11}{5}[/tex]
The least common denominator is 30 because all the denominators can be multiplied by something to get 30.
[tex](\frac{5}{5})*\frac{5}{6}* (\frac{15}{15})*\frac{-9}{2}* (\frac{6}{6})*\frac{-11}{5}[/tex] Simplify
[tex]\frac{25}{30}*\frac{-135}{30}*\frac{-66}{30}[/tex] simply
[tex]\frac{-3375}{30}*\frac{-66}{30}[/tex]
[tex]\frac{222750}{30}[/tex] simply
7425
What is the slope of the line that passes through the points (8,7) and (4, 5)? Write
your answer in simplest form.
Answer: 1/2
Step-by-step explanation: got it right
The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
The given coordinate points are (8, 7) and (4, 5).
Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get
Slope = (5-7)/(4-8
= -2/(-4)
= 1/2
Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ6
PLS ANSWER QUICKLY!
A line passes through the point (-2,3) and has a slope of 1/5.
show work to write the equation of the line in point-slope form.
Y-3=1/5(x+2) is the answer.
Jill spends $525 for monthly bills. Of this amount she spends 110 on her cell phone bill and 25% on her car payment. The remainder pays her utilities. How much money does she spend on utilities?
Answer:
283.75
Step-by-step explanation:
525/4=131.25
131.25+110=241.25
525-241.25=283.75
what is vertex of the graph of the function below y=x^2-10x+21
Answer:
(-4,5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is (5,-4) the first answer is backwards
Find the slope of the line that passes through the following pair of coordinates: (15,18) (0,6)
Answer: y= (4/5)x+6
Step-by-step explanation:
(0,6) is the y intercept/b . Use y2-y1 for the slope/m. Y= Mx+b now is y=(4/5)x+6.
A television and DVD player cost $1053 the cost of the television is two times the cost of the DVD player
Answer:
2106
Step-by-step explanation:
Triangle ABC is transformed to create triangle MNO and triangle PQR as described below
Answer:
The correct answer is the second option
please help !! thank you !
Answer: (-9,125)
When you graph this the intersection point is that.
Answer: y= -55, 135
X= -10, -9
Step-by-step explanation:
Here is a picture of my work. With this type of problem there are a multiple ways of finding your x and y values.
What is the greatest common factor of 18,9, and 45,
Answer:
9
Step-by-step explanation:
They all can be divided by nine.
18/9 = 2
9/9 = 1
45/9 = 5
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line of symmetry? What is the other zero of the quadratic function?
Given:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
To find:
The other zero.
Solution:
We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.
It means, line of symmetry passes through the mid point of both zeroes.
Let the other zero be x.
[tex]-3.5=\dfrac{(-9)+x}{2}[/tex]
Multiply both sides by 2.
[tex]-7=-9+x[/tex]
Add 9 on both sides.
[tex]-7+9=-9+x+9[/tex]
[tex]2=x[/tex]
Therefore, the other zero of the quadratic function is 2.
Answer: A=0, B=6, C=4.
The axis of symmetry is x = ½
The smaller zero is -2
The larger zero is 3
Step-by-step explanation: Correct in edge 2020, the format makes it hard to find answers online but I just did the assignment
$3.75 for 5 apples: division pls
Answer: 0.75
Step-by-step explanation:
It is easier to divide if you get rid of the decimal, divide 375/5, and then add the decimal back.
What is the complete factorization of the polynomial function over the set of complex numbers?
f(x)=x3−5x2+4x−20
Enter your answer in the box.
Answer:
[tex]x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})[/tex]
Step-by-step explanation:
Factorization of polynomials
Factor:
[tex]f(x)=x^3-5x^2+4x-20[/tex]
There are several techniques to factor polynomials. We'll use algebraic manipulation and common factor:
Separate in groups:
[tex](x^3-5x^2)+(4x-20)[/tex]
Factor out 4 from 4x-20:
[tex]=(x^3-5x^2)+4(x-5)[/tex]
Factor out [tex]x^2[/tex] from [tex]x^3-5x^2[/tex]
[tex]=x^2(x-5)+4(x-5)[/tex]
Factor out x-5:
[tex]=(x-5)(x^2+4)[/tex]
The roots of
[tex]x^2+4=0[/tex]
Are two complex numbers:
[tex]x=2\mathbf{i}, x=-2\mathbf{i}[/tex]
The complete factorization is:
[tex]\boxed{x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})}[/tex]
Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already.
Answer:
Yes, but doing so will clear out his account.
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:
Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already
Aaron's bank account balance=$1213.69
He made all this transactions below;
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+
331.84= $948.86
Which means after performing those transactions above, he was left with $948.86.
We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.
For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=
$1213.69
Therefore, the answer is Yes, but doing so will clear out his account.
Marrisa went to target to buy a sweater. She was exited that all the sweaters were 40% off She picked out a sweater with the original price of $28.99 How much money did marrissa save? How much did she pay for the sweater?
Please helpppp
What is the definition of rate of change?
Answer:
Value over a defined period of time, and it represents the momentum of a variable. ✨
Step-by-step explanation:
Mandi has $40 to spend at the fair. The admission to get into the fair is $5 and each ride is $1.75
Write an inequality to represent the situation using r for the number of rides