Answers
Answer:
Step-by-step explanation:
Vertex form of quadratic equation with coordinate of vertex (h, k) is
y = a(x - h)² + k
Related Questions
Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27
Answers
Answer:
1836 bacteria
Step-by-step explanation:
Now the data is a progression; 38,000, 33,820, 30,100 .........
We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;
r= 33,820/38,000 = 30,100/33,820 = 0.89
So, for a geometric progression;
Un = ar^n-1
Where;
a = 38,000
r = 0.89
n = 27 days
Un = ???
Un = 38,000 * (0.89)^27 - 1
Un = 1836 bacteria
Solve the system using substitution.
y=2x−5
y=2x+7
May someone explains and help me with a picture, please.
Answers
Answer:
no solutions
Step-by-step explanation:
if y=2x-5
and y=2x+7
2x-5=2x+7
-5 is not equal to 7
Answer:
no solution.
Explaination:
solve for the very first variable in your equation and then you would substitute the result into the other equation. by doing so, you should get no solution.
Can you help me with question number 10, please?
Answers
Answer:
(1) 8.3
Step-by-step explanation:
Answer:
1) 8.3
Step-by-step explanation:
get rid of the (), which u will get 4x-28=0.3x+0.6+2.11
combine like terms, which u will get 4x-28=0.3x+2.71
move variable to one side and numbers to the other, which you will get
3.7x=30.71
divide both sides by 3.7 which u will get 8.3
how do i graph the equation y= -4x - 1
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.
For x=0, ...
y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept
For x=1, ...
y = -4·1 -1 = -5 . . . . the point is (1, -5)
The attached graph shows these points and the line through them.
What is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2
Answers
Answer:
i think c
Step-by-step explanation:
Which function shows a fabric with a price of $1.25 per square yard?
Answers
Answer:
D
Step-by-step explanation:
Pls help and show workings
Due ASAP
Answers
Answer: B
Step-by-step explanation:
The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]). Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex]. For a line to be perpendicular to another, it must have an opposite reciprocal slope. A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa. Thus, 3/4 would become 4/3. The opposite reciprocal of 3/4 would be -4/3.
The slope of the line given is 3/4. Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex]. Then, because the line passes through -12, 1, plug those values in for x and y, respectively.
[tex]1=-\frac{4}{3}*-12+b[/tex]
[tex]1=16+b[/tex]
[tex]-15=b[/tex]
Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.
Hope it helps :D
In which point of the graph is the water increasing?
Answers
Answer:
2
Step-by-step explanation:
Calculate the area of the square shown below.
its a square ■ and on the bottom its 3.1 yd what do I do?
Answers
Step-by-step explanation:
area of square is a^2
3.1yd^2=9.61yd^2
Answer:
Area = 9.61^2
Step-by-step explanation:
A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.
v / -0.8 +14=39 plssss help this is literally so hard
Answers
______________________________
1.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]39-14=25[/tex]- We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see.
Equation at the end of Step 1:
[tex]v[/tex] ÷ [tex]-0.8=25[/tex]2.) Multiply both sides by −0.8:[tex]-0.8[/tex] × [tex]-0.8=[/tex] Cancels Out[tex]25[/tex] × [tex]-0.8=-20[/tex]______________________________
can somebody help me??
Answers
Answer: two solutions and
Step-by-step explanation:
Please help with these questions there due today.
Answers
Felix bought a new pair of pants for $27.98. If the sales tax is 6%, how much did he spend in total?
Answers
Answer:
$29.66
Step-by-step explanation:
6% taxes is 1.68 , 27.98+ 1.68= $29.66
Sales tax:
[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]
[tex]\\ \tt\longmapsto 1.67[/tex]
Total=
27.98+1.67=29.65$3(2x+5)-x=__x+__
put 2 numbers in the blanks to make no solutions
Answers
Answer:
5x + 15
Step-by-step explanation:
3(2x + 5)-x
6x + 15 - x
5x + 15
Hope this Helps!!!
Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid
Answers
Answer:
Temperature needs to drop by 61.5°
Step-by-step explanation:
Given that:
Freezing temperature of ocean water = - 2.5
Freezing temperature of fresh water = 0
Freezing temperature = anti-freeze = - 64
If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5
How many more degrees must the temperature drop for temperature to turn solid :
Freezing temperature of anti-freeze - current temperature
-64 - (-2.5)
-64 + 2.5
-61.5
-61.5(the temperature needs to drop by 61.5°)
Trip has 15 coins worth 95 cents.Four of the coins are each worth twice as much as the rest. Construct a math argument to justify the conjecture that Trip has 11 nickels and 4 dimes
Answers
11+4=15
Both are equal to the constraints of the word problem and there for justified.
help me plz i dum reeee
Answers
Answer:
The mean absolute deviation of the data set is 2.5
Step-by-step explanation:
We need to find mean absolute deviation of the data set:
10,8,10,6,6,2,10,4
First we will find mean of the given data set.
The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]
Sum of all data = 10+8+10+6+6+2+10+4 = 56
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]
Now, we will calculate the absolute difference between mean and each data value.
|10-7| = 3
|8-7| = 1
|10-7| = 3
|6-7| = |-1| = 1
|6-7| = |-1| = 1
|2-7| = |-5| = 5
|10-7| = 3
|4-7| = |-3| = 3
Now, we will find mean of 3,1,3,1,1,5,3,3
Sum of all data = 3+1+3+1+1+5+3+3 = 20
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]
So, the mean absolute deviation of the data set is 2.5
Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16
Answers
Answer:
B. 36
Step-by-step explanation:
The equation in question is not well written. Let the equation be;
x²+12x+5 = 0
In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;
Coefficient of x = 12
Half of 12 = 1/2(12) = 6
Square of 6 = 6² = 36
Hence the required number to add to both sides of the equation by completing the square method is 36
While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?
Answers
Answer:
$88.9
Step-by-step explanation:
First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:
Total cost=(29*2)+(16*3)+21
Total cost=58+48+21
Total cost=127
Now, you have to calculate 30% of that total and subtract that amount from the total cost:
127*30%=$38.1
127-38.1=$88.9
According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.
The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?
Answers
Answer:
18 albums
Step-by-step explanation:
2x+3x=45
5x=45
x=9
country=2(9) = 18 album
Caleb rides his horse with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?
Answers
Answer:
1 hour and 30 minutes
Step-by-step explanation:
Answer:
1 hour and 30 minutes
Step-by-step explanation:
15 is 10+1/210 1/2 is also known as 1515 miles at a constant of 10 miles per hour then equals 1 hour and a half 1 hour and 30 minutes6x – 2 = 2х +8
ANSWER QUICKLY PLEASE
Answers
Answer: 2.5
Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5
4x = 10
x= 10/4 = 2.5
Write the exponent for the expression.
15 × 15
The exponent for the expression is ___
Answers
Answer:
2. i think. correct me if im wrong.
Answer: The answer is 2
Step-by-step explanation:
Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.
Answers
Answer:
Step-by-step explanation:
ok so do this
9x² + 3x - 8 - (3x² + 8x)
distribute the negative sign
9x² + 3x - 8 - 3x² - 8x
simplify
6x² - 5x - 8
hope this helps <3
1. The solution to a system of equations is (6,-3). Choose two equations that might
make up the system.
A. y = -2r+6
B. y = 2x - 9
C. y = -5x + 27
D. y = 2x - 15
E. y = -4x + 27
Answers
..........................................
Answers
Hey again!
The answer to your question is 4/3
This is because it is larger than one, so it would make it bigger than the original drawing.
Hope it helps and let me know if there's anything else. Have a great day!
Felix joined a local recreation center to play basketball the recreation center try to a $20 annual fee plus an additional $15 per month for usage of basketball courts feel like pre-pays by writing a check for $185 for how many months did Felix pay
Answers
Answer: Felix paid for 11 months.
Step-by-step explanation:
Let x = Number of months
Given: Annual fee = $ 20
charge per month = $15
Total amount = Annual fee + (charge per month) x (number of months)
[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]
Hence, Felix paid for 11 months.
Find the perimeter of the triangle
Answers
Answer:
8 feet
Step-by-step explanation:
hope it helps! :)
Answer:
8 feet
Step-by-step explanation:
When calculating mixed numbers, I like to make all the numbers to improper fractions with the same denominators first before evaluating.
Perimeter of triangle = 2[tex]\frac{3}{8}[/tex] + 2[tex]\frac{3}{8}[/tex] + 3[tex]\frac{1}{4}[/tex]
= [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{26}{8}[/tex]
= [tex]\frac{64}{8}[/tex]
= 8 feet
Factorise
121ײ + 110 +25 y²
Answers
Answer:
(5y+11)²
Step-by-step explanation:
The given expression is :
25y²+110y+121
We need to factors of the given expression.
We know that, (11)² = 121
5² = 25
We can write the given expression as :
25y²+110y+121 = (5y)² + 2(5y)(11) +11²
Using identity : (a+b)² = a²+2ab+b²
25y²+110y+121 = (5y+11)²
Hence, the factors of 25y²+110y+121 is (5y+11)².
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
O {(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O {0, -9, -2, -3}
Answers
Answer:
C
Step-by-step explanation:
Here, we want to select the option that present a function
For a set of points to be a function, we have that every single x value is directly mapped to a single y value
As we can see, this is correct only for the third option
There is no repetition of x-values or y-values
Every x value is directly linked to a different y-values
Answer:
C
Step-by-step explanation:
Here, we want to select the option that present a function
For a set of points to be a function, we have that every single x value is directly mapped to a single y value
As we can see, this is correct only for the third option
There is no repetition of x-values or y-values
Every x value is directly linked to a different y-values