Answer:
False
Step-by-step explanation:
The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.
Answer:
False
Step-by-step explanation:
(X+y)^2 = x^2 + 2xy + y^2
First you expand and then distribute
The rule is:
(a+b) ^2 = a^2 + 2ab + b^2
Answered by Gauthmath
Add-ons Helplast edit was seconds ago
10 BI VA
+
GO
5
2
E A monthly service fee to download ebooks is $4.96 plus $3.99 per book downloaded White an
equation that represents the total cost, c, in a month when books are downloaded Explain how
yos gation represents the greem
Graph
Create a graph for
Write the equation of the line that goes through points (0, 4) and (6, 16).
Answer:
y = 2x + 4
Step-by-step explanation:
(x₁ , y₁) --> (0 ,4) & (x₂ , y₂) = (6 , 16)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{16-4}{6-0}\\\\=\frac{12}{6}\\\\m = 2[/tex]
(x₁ , y₁) --> (0 ,4)
y - y₁ = m(x - x₁)
y - 4 = 2(x - 0)
y - 4 = 2x
y = 2x + 4
A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?
f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(0.6)x, with a vertical asymptote of x = 0
f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(1.6)x, with a vertical asymptote of x = 0
Answer:
Step-by-step explanation:
The function is modeled after
[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay factor. If we start with 5000 bacteria, then a = 5000. The decay factor is determined by the rate at which the bacteria decrease. We know that rate at which the bacteria decrease is 60% because 40% are left alive; therefore, b = .4:
[tex]f(x)=5000(.4)^x[/tex] with a horizontal asymptote of y = 0, the first choice.
The function that represents the number of live bacteria after x days of treatment can be written as f(x) = 5000(0.4)ˣ
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that 40% of the sample remains alive, which means that the number of live bacteria is decreasing exponentially over time.
The base of the exponential function is 0.4, as 40% can be written as 0.4. The initial population of bacteria is 5000, so we multiply the base by 5000 to get the total number of live bacteria after x days.
The graph of this function will have a horizontal asymptote of y = 0, since the number of live bacteria will approach zero as time goes on.
f(x) = 5000(0.4)ˣ is the function represents the number of live bacteria after x days of treatment
Hence, option A is correct, f(x) = 5000(0.4)ˣ with a horizontal asymptote of y = 0.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ5
What is the slope of a line with points (5, 1) and (8,3)?
A. m= 3/2
B. m=2/3
C. m=-3/2
D.m=-2/3
Answer:
2/3
Step-by-step explanation:
If we know two points we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 3 -1)/(8 - 5)
= 2/3
Enda has job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The other company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda's salary be the same with both companies? What will the salary be?
Answer:
8 years
Salary: $95000
Step-by-step explanation:
Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.
Company (1):
75000 + 2500x
Company (2):
55000 + 5000(x)
One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):
75000 + 2500x = 55000 + 5000(x)
Inverse operations:
75000 + 2500x = 55000 + 5000x
20000 + 2500x = 5000x
20000 = 2500x
8 = x
Substitute (x) into any one of the experssions and simplify to solve the epxression,
55000 + 5000(x)
x = 8
= 55000 + 5000(8)
= 55000 + 40000
= 95000
please help me solve this answer, it is really crucial
Answer:
Parabolas have an axis of symmetry. If we assume that x=2 is that axis of symmetry, them that must mean the x values -2 and 6 should have the same y values, which they don't, thus an equation is not possible.
Which points have an x value less than zero? (last answer choice says (D,J,E)
Answer:
CDJ
Step-by-step explanation:
Answer:
Choice C. C,D,J
Step-by-step explanation:
When it asks for x-values less than zero (x<0), a point that lies on the y-axis is not included.Every other option has a point lying on the y-axis or greater than zero.Multiply: -14(y+11)
Answer:
-14y -154
Step-by-step explanation:
Multiply -14 and y = -14y
Multiply -14 and 11 = -154
Answer:
[tex]-14\left(y+11\right)[/tex]
[tex]=-14y+\left(-14\right)\cdot \:11[/tex]
[tex]=-14y-14\cdot \:1[/tex]
[tex]=-14y-154[/tex]
OAmalOHopeO
In a quiz, team A secured -5,6,2 and team B secured 6, 5,-2 in three successive rounds. Which team secured more?
a)Team A
b)Team B
c)Both secured same
d)Not possible to say
Answer:
i think b
because -5 and -2
In order for the parallelogram to
be a square, x = [?].
4x + 17
12x - 23
Answer:
x = 5
Step-by-step explanation:
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
8 8
5 = x
The value of x should be 5.
What is parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
As, to from the square using the dimension of parallelogram the value of x should be 5
as the side of square is equal.
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
5 = x
Learn more about parallelogram here:
https://brainly.com/question/1563728
#SPJ2
CAN SOMEONE HELP ME PLEASE
Answer:
.54 (54%)
Step-by-step explanation:
An ice cream shop uses the following ingredients to make 1 sundae.
Ingredient Amount
Ice cream 2 scoops
Sprinkles 4 spoonful's
Whipped cream 2 tablespoons
How many sundaes did the shop make if they used 32 spoonfuls of sprinkles?
Pleaseee help :( Its about ratios :( :0
Answer:
8 sundaes
4:32
.......
.......
...
Step-by-step explanation:
To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.
a rectangular field is 5x meters long and 2x m wide. if its perimeter is 140cm what is its area?
Answer:
1000 cm²
Step-by-step explanation:
perimeter = 2 * length + 2 * width
2 * 5x + 2 * 2x = 140
10x + 4x = 140
14x = 140
x = 10
Length: 5x = 5(10) = 50
Width: 2x = 2(10) = 20
area = length * width
area = 50 cm * 20 cm
area = 1000 cm²
.
A football is punted from a height of 2.75 ft above the ground, with an initial velocity of 48 feet per
second. The motion of the football can be modeled by the equation h = -16t2 + 48t +2.75, where
h represents the height of the football, in feet, and t represents the timelin seconds.
If the football is caught 5.25 ft above the ground, approximately how long did it remain in the air?
Roundyour answer to the nearest hundredth of a second.
Answer:
Step-by-step explanation:
The position function for this is given as
[tex]h(t)=-16t^2+48t+2.75[/tex] where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.
[tex]5.25=-16t^2+48t+2.75[/tex] and set this equal to 0:
[tex]-16t^2+48t-2.5=0[/tex] and factor.
When we factor we get
t = .05 and t = 2.95 in seconds.
That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.
find the sum (12p+9) + (4p-3) please help me
Which expression is equivalent to 1/27?
Answer:
D 3^3 *3^-7
Step-by-step explanation:
1/27 = 1/3^3 = 3^-3
When multiplying with the same base, add the exponents
A 3^1 * 3^-10 = 3^-9
B 3^-1 * 3^10 = 3^9
C 3^-4 * 3^7 = 3^3
D 3^3 *3^-7 = 3^-3
A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form
Answer: y = ½x - 2
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}[/tex] b = y-intercept ⇒ Substitute in a given point to the function to find by = ½x + b
2 = ½(8) + b
2 = 8/2 + b
2 = 4 + b
2 - 4 = b
b = -2
y = ½x - 2
[tex]\sqrt{2} \frac{7}{8}[/tex]
Answer:
[tex]\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =[/tex]
±5√2/4
Find the area of this circle please and thank you..
Answer:
452.39
Step-by-step explanation:
Hope this is right
What is 25 over 1363
Answer:
25/1363
0.0183
Step-by-step explanation:
This question includes division. When a number is "over" that number should be the numerator of the fraction and the other number should be the denominator. So, 25 over 1363 would look like [tex]\frac{25}{1363}[/tex] in fraction form. They have no common factors so it cannot be simplified further. However, if wanted, then you could divide the two numbers to get a decimal, 0.0183. But, this is rounded because the exact answer is not rational.
3 9. There are 180 girls in a mixed school. the ratio of girls to boys is 4:3 find the otal number of students in the school (a) 25 students (b) 315 students (c) 360 students 405 students of the binary numbers:
The ratio 4:3 means for every 4 girls there are 3 boys.
Divide total girls by 4, multiply that by 3 to get total boys:
180/4 = 45 x 3 = 135
There are 135 boys
For total students add boys and girls:
180 + 135 = 315 total students
Which of the following statements must be true based on the diagram below?
(Diagram is not to scale.)
Answer:
i dont know
Step-by-step explanation:
i dont kow
Solve the following proportion.
х
42
35
10
Answer:
12
Step-by-step explanation:
The proportion is equal to [tex]\frac{x}{10}=\frac{42}{35}[/tex]
We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get
[tex]60=5x[/tex]
Dividing both sides by 5, we have the answer as
[tex]x=12[/tex]
1.Round off 378811 to the nearest hundreds,thousands and ten thousand
2.Round off 267988 to the nearest hundreds,thousands and ten thousand
3.Round off 250260 to the nearest hundreds,thousands and ten thousand
4.Round 196596 to the nearest hundreds,thousands and ten thousand
5.Round off 193171 to the nearest hundreds,thousands and ten thousand
Given:
The numbers are 378811, 267988, 250260, 196596, 193171.
To find:
The approximate value of the given numbers to the nearest hundreds, thousands and ten thousand.
Solution:
The required values shown in the below table:
Numbers Nearest hundreds Nearest thousands Nearest ten thousand
378811 378800 379000 380000
267988 268000 268000 270000
250260 250300 250000 250000
196596 196600 197000 200000
193171 193200 193000 190000
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE
Answer:
If u add the number it will show u te answer which is 7
Step-by-step explanation:
please help me with this on the picture
Answer:
-3, 7, 17, 27, 37
Step-by-step explanation:
Essentially, you just put -3 for the first box, and add 10. Then you take that new number and put it in the next box.
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3x^2
Answer:
C) it will get narrower
Step-by-step explanation:
Please help!!
Martha works at a small jewelry store. She designs 2 rings in the first hour. Every additional hour, she designs 3 new rings.
Select all the functions that can be used to find the number of rings, r(n), she designs in n hours.
Answer:
2nd option and 4th option, other functions don't apply, remember r(1) can't be 3 since the she designs 2 rings in the first hour.
Answered by GAUTHMATH
the polygons in each pair are similar. Find the missing side length
Answer:
Since they are similar, 45/27=30/18=x/24. x=40
select the right one
Answer:
W
Step-by-step explanation:
9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9