Answer:
12x+6
Step-by-step explanation:
Multiply the like terms.
4x • 3x=12x
-1 • -6= 6
put it back into equation form
12x + 6
Solve P = 2l + 2w for l.
Answer:
l = [tex]\frac{P}{2}[/tex] - w
Step-by-step explanation:
P = 2l + 2w
2l = P - 2w
l = [tex]\frac{P}{2}[/tex] - w
the graph represents f(x)=[x]+3. what is f(-2.2)?
Answer:
f(-2.2) = 1
Step-by-step explanation:
There is a horizontal blue line with equation y = 1 between x = -3 and x = -2. Thus, f(-2.2) = 1.
Answer:
f(-2.2) = 1
Step-by-step explanation:
There is a horizontal blue line with equation y = 1 between x = -3 and x = -2. Thus, f(-2.2) = 1.
The slope of the line below is -2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
•
4
-6)
Answer: y= -2x+2
Step-by-step explanation: y-y₁=m(x-x₁)
y-(-6)= -2(x-4)
y+6=-2x+8
y=-2x+8-6
y= -2x+2
Answer:
y + 6 = -2(x - 4)Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
We have the slope m = -2 and the point (4, -6). Substitute:
[tex]y-(-6)=-2(x-4)\\\\y+6=-2(x-4)[/tex]
quadratic function (f)x=2x^2+8x-7
Answer:
See attached images
Step-by-step explanation:
The expression of your question is
f(x) = 2x^2+8x-7
A full analysis of the function is shown in the images below
what is measure of cgf?
Answer:
[tex]<CGF = 130[/tex]
Step-by-step explanation:
A triangle adds up to 180.
180 - 50 = 130
Since both of the missing angles are congruent each of the missing angles is 65 degrees.
130/2 = 65
As per the exterior angle theorem, the measure of the exterior angle is determined by the sum of the opposite interior angles.
65 + 65 = 130
So, the measure of [tex]<CGF = 130[/tex]
A warehouse is for rent downtown. The rate is $15 per square foot per month. Space measures 40 ft x 22 ft. How much will it cost to rent this warehouse for a year?
Answer:
[tex]\$158,400[/tex]
Step-by-step explanation:
step 1
Find the area of the warehouse
[tex]A=(40)(22)=880\ ft^{2}[/tex]
step 2
Remember that one year is equal to 12 months
step 3
Find the cost to rent the warehouse for a year
Multiply the area by $15 per square foot per month and then multiply by 12 months
so
[tex]880(15)(12)=\$158,400[/tex]
Answer:
158,400
Step-by-step explanation:
Find the distance between the given points.
R(0, 0) and S(6, 8)
Distance =
2√7
√(22)
10
Answer:
The correct answer is last option
10
Step-by-step explanation:
Points to remember
Distance formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Distance = √[(x2 - x1)² + (y2 - y1)²]
To find the distance between given points
Here (x1, y1) = R(0, 0) and (x2, y2) = S(6, 8)
Distance, RS = √[(x2 - x1)² + (y2 - y1)²]
= √[(6 - 0)² + (8 - 0)²]
= √[6² + 8²]
= √[36 + 64]
= √100
= 10
Therefore the correct answer is last option 10
how do you round the answer to the nearest hundredth by doing 1062.98 * 0.092
Answer:
97.79
Step-by-step explanation:
1062.98 * 0.092 = 97.79416
To the nearest hundredth would be to the second 9. Since 4 is less than 5 just drop the 4 and anything after it.
find the missing number so that it has no solution. __x-8-9x=-4x+8
Answer:
The missing number (i.e. the coefficient of x) is 5.
Step-by-step explanation:
5x - 8 - 9x = -4x + 8
-4x - 8 = -4x + 8
-8 ≠ 8
Kathy runs 16 miles a week. If she continues to run at this rate how many miles will she run a year
Answer:
Remember, 1 is the multiplicative identity. That means that we can multiply a value by 1 and not change the value, only change the units.
For example: If we have 3 dozen eggs, how many eggs do we have?
3 dozen
(3 dozen)*(12 eggs / 1 dozen) = 36 eggs (dozen cancels out, leaving only eggs)
In this problem:
(16 miles / 1 week)
(16 miles / 1 week)*(52 weeks / 1 year) (weeks cancel out, leaving miles/year)
832 miles/year
Note: with either 365 (or 366) days in a year, there are 365/7 = 52.14 weeks in a year, but we'll use 52 because the problem gave miles/week.
Step-by-step explanation:
Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an average speed of 40 miles per hour, the same trip takes 2.5 hours.If time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour?
Answer:
[tex]2\frac{2}{9} hrs[/tex]
Step-by-step explanation:
At a speed of 50m/h time taken is 2hours
At a speed of 45m/h time take is 2.5 hours
You can find the distance between A and B
Distance=speed × time
[tex]D=50*2=100\\[/tex]
But time y varies inversely with speed x , hence
[tex]y=\frac{k}{x}[/tex]
where k is a constant of proportionality and D is distance.
To find k
[tex]2=\frac{k}{50} \\\\2*50=k\\\\100=k\\\\y=\frac{100}{x}[/tex]
where y is time and x is speed
Given
x=45m/h you should find time y. Apply the expression above
[tex]y=\frac{100}{x} \\\\\\y=\frac{100}{45} =\frac{20}{9} =2\frac{2}{9} hrs[/tex]
Convert the mixed numbers into improper fractions. Convert the improper fraction to mixed Numbers.
Answer:
13. 23/4
14. 13/2
15. 6 and 1/2
16. 2 and 7/12
Answer:
13. 23/4
14. 13/2
15. [tex]6\frac{1}{2}[/tex]
16. [tex]2 \frac{7}{12}[/tex]
Step-by-step explanation:
13) 5×4=20
20+3=23
[tex]\frac{23}{4}[/tex]
14) 2×6=12
12+1=13
[tex]\frac{13}{2}[/tex]
15 an 16 divide
The surface temperature averages at 15 degrees Celsius and increases 25 degrees Celsius with each kilometer of depth. Let one variable be the distance away from the surface and the other variable be the temperature. Now write an equation that models the relationship between the variables. I choose the variable, d for distance and t for temperature.
Answer:
15+25d=t
Step-by-step explanation:
the initial value is 15 it increases(+) by 25 to each kilometer(distance=d) of depth.
The equation that models the relationship between distance d in kilometers and temperature t in degrees Celsius is t = 25d + 15. This means that for each kilometer increase in depth, the temperature increases by 25 degrees Celsius in addition to the initial 15 degrees Celsius surface temperature.
Explanation:
The relationship between the variables, distance (d) and temperature (t), is described as a linear function. Given that the surface temperature is 15 degrees Celsius and it increases by 25 degrees Celsius with every kilometer, the mathematical model is expressed as:
t = 25d + 15
In this equation, t represents the temperature and d is the distance from the surface in kilometers. This implies that for every kilometer increase in depth, the temperature increases by 25 degrees Celsius on top of the initial 15 degrees Celsius surface temperature.
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evaluate the expression xy for x = 6 and y = 3
Plug in values.
xy=
6(3) =
18 = Answer
If
[tex]f(x) = \frac{(3 + x)}{x - 3} [/tex]
what is
[tex]f(a + 2)[/tex]
?
a)
[tex] \frac{3 + f(a + 2)}{f(a) - 1} [/tex]
b)
[tex] \frac{(5 + a)}{(a - 1)} [/tex]
c)
[tex] \frac{(3 + a)}{(a - 3)} + 2[/tex]
Answer:
Option B: [tex]\frac{5+a}{a-1}[/tex]
Step-by-step explanation:
Given function is:
[tex]f(x) = \frac{3+x}{x-3}[/tex]
In order to find f(a+2), we have to put a=2 in place of x in the function
So,
[tex]f(a+2) = \frac{3 + (a+2)}{(a+2)-3}\\ =\frac{3+a+2}{a+2-3}\\ = \frac{5+a}{a-1}[/tex]
Hence, we can see that option b is correct ..
Vertical angles are supplementary, true or false?
Answer:
False
Step-by-step explanation:
Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.
Answer:
False.
Step-by-step explanation:
Supplementary angles always equal up to 180 degrees.
If h(x)=4x^2-16 we’re shifted 7 units to the right and 3 units down what would the new equation be
Answer:
4(x-7)^2 - 19
Step-by-step explanation:
Shifting 7 units to the right: 4(x-7)^2 - 16.
3 units down: 4(x-7)^2 - 16 - 3, or 4(x-7)^2 - 19
Factor completely and then place the factors in the proper location on the grid a^2-a-20
Answer:
[tex](x-5)(x+4)[/tex]
Step-by-step explanation:
We have the following quadratic equation
[tex]a^2-a-20[/tex]
The factored expression will have the following form
[tex](x+b)(x+c)[/tex]
Where b and c are two real numbers which when added together result in -1, and multiplying them results in -20
[tex]b*c=-20\\b+c=-1[/tex]
You can verify that the numbers that meet this condition are:
-5 and 4
Then the factors are:
[tex](x-5)(x+4)[/tex]
how do i solve this using elimination
Answer:
The value of x=6 and y=4.
Answer:
(6, 4 )
Step-by-step explanation:
Given the 2 equations
4x - 3y = 12 → (1)
x + 2y = 14 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
- 4x - 8y = - 56 → (3)
Add (1) and (3) term by term
(4x - 4x) + (- 3y - 8y) = (12 - 56) ← simplify
- 11y = - 44 ( divide both sides by - 11 )
y = 4
Substitute y = 4 into either (1) or (2)
(2 ) : x + 8 = 14 ( subtract 8 from both sides )
x = 6
Solution is (6, 4 )
15p!!what is the percent of change from 12 to 19? round to the nearest percent!
Answer:
58%
Step-by-step explanation:
The change between 12 to 19 is 7
The percentage of change is calculated by dividing 7 by 12 and multiplying it by 100%
7/12*100
=58.3333333%
=58%(rounded to nearest percent)
58% increase
Percent change = 19 - 1212 × 100 = 58.333333333333 % (increase) Where: 12 and 19 is the new value. In this case we have % of increase because the new value is greater than the old value.
What is percentage change?Percent change differs by the percent increase or percent decrease of the sense that we could see both directions of the change. For example, the percent increase calculator calculates amount of increase, in which we shall say, "x percent increase".
The change between 12 to 19 is 7
The percentage of change is calculated by dividing 7 by 12 and multiplying it by 100%
7/12*100
=58.3333333%
=58%(rounded to nearest percent)
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Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How many boxes of vegetable did she take home?
5. Write and solve the arithmetic problem for each step.
?
Answer the question below. Type your response in the space provided.
How many boxes of carrots are left?
How many boxes of Potatoes are left?
How many boxes altogehter are left?
Answer: 7 boxes of carrots, 9 boxes of potatoes, 18 boxes total
Step-by-step explanation:
75 -68=7 boxes of carrots
80-71=9 boxes of potatoes
For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
[tex]x = 75\\y = 80[/tex]
If you sold 68 boxes of carrot we have:
[tex]x = 75-68 = 7[/tex]
If you sold 71 boxes of potatoes, we have:
[tex]y = 80-71 = 9[/tex]
The number of boxes I take home is given by:[tex]x + y = 7 + 9 = 16[/tex]
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain
Can someone please help me out ?
Answer:
The Answer is 9
Step-by-step explanation:
To find the answer you divide 63 by 7.
[tex]7m=63\\m=9[/tex]
simplify the expresion 8w+5r-t+9r
To simplify an expression you need to combine like terms.
In the given equation, there are two like terms, 5r and 9r.
There is a plus sing in front of each one, so add those together: 5r + 9r = 14r
There are no ther like terms so the simplified expresssion becomes:
8w + 14r - t
Which of the following must be true for an expression to be a difference of
two squares?
(((a. all variables are raised to an even power
b. there are only two terms
c. both terms have negative coefficients)))
Answers:
O A. a and
O B. a, b, and c
OC. b and
O D. a and b
Answer:
D
Step-by-step explanation:
A difference of squares is represented in general as
a² - b²
Both variables have an even power (2) → a
There are only two terms → b
A comedian knows eleven jokes. One joke is old, one joke is new, and the other jokes are somewhere between. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if the old joke is told first and the new joke is told last?
Answer: I believe nine
Step-by-step explanation: If one and 11 stay in the same place then it would start as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. then it would be 1, 10, 2, 3, 4, 5, 6, 7, 8, 9, 11. then 1, 9, 10, 2, 3, 4, 5, 6, 7, 8,11 and so one.
HELP ASAP
What is the area of triangle DEF?
A)294 square centimeters
B)490 square centimeters
C)588 square centimeters
D)735 square centimeters
Answer:
The correct answer will be "588 square centimeters"
Step-by-step explanation:
The answer would be 588 squared cm because the area of a triangle is 1/2(base*height).
and The base is 42 cm and the height is 28 cm.
588 square centimeters is the correct answer !
Answer:
C) 588
Step-by-step explanation:
A= 1/2 b*h
First you need to find the base and height
Which is 42 and 28
42*28=1176
1176/2= 588
Helppppp me immmm stuckkkkk
Answer:D
Step-by-step explanation: 4y-3x=4 -2x-8y=8
4(-.5)-3(-2)=4 -2(-2)-8(-.5)=8
Work this problem from here
4*-.5= -2
-3*-2=6
6+-2=4
so this is a true statement
-2*-2=4
-8*-.5=4
4+4= 8
so this statement is also true
The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and standard deviation. Round to the nearest hundredth.
(EXPLAIN WORK)
Answer:
variance = 8,732.24standar deviation = 93.45Explanation:
In order to calculate the variance and standard deviation of a set of data, you first must calculate the mean.
Mean = average = μ = ∑ values / (number of data)
Hence, the mean of our data set is:
mean = μ = [ 3,832 + 3,779 + 3,655 + 3,642 + 3,579] / 5 = 18,487 / 5 = 3,697.4Now you can calcuate the variance using the formula.
For a data set (which is all your population and not a sample) the formula is:
Variance = ∑ (value - μ)² / (number of data)That is:
Variance = [ (3,832 - 3,697.4)² + (3,779 - 3,697.4)² + (3,655 - 3,697.4)² + (3,642 - 3,697.4)² + (3,579 - 3,697.4)² ] / 5 Variance = 8,732.24 (rounded to the nearest hundreth)The standard deviation, S.D., is the square root of the variance:
[tex]S.D.=\sqrt{8,732.24}=93.45[/tex] (rounded to the nearest hundresth)Answer:
Variance = 8732.24 and standard deviation = 93.45
Step-by-step explanation:
We have to calculate the variance and standard deviation of the data set
3,832, 3,779, 3,655, 3,642, 3,579
First we calculate the mean of the data
Mean = [tex]\frac{(3,832+3,779+3,655+3,642+3,579)}{5}[/tex]
= [tex]\frac{18487}{5}[/tex]
= 3697.4
Now we calculate the variance by subtracting the mean from value of data set and square it.
3832 - 3697.4 = 134.6² = 18,117.16
3779 - 3697.4 = 81.6² = 6,658.56
3655 - 3697.4 = -42.4² = 1,797.76
3642 - 3697.4 = -55.4 = 3069.16
3579 - 3697.4 = -118.4 = 14,018.56
Add up the squared result and take the mean
= [tex]\frac{(18117.16+6658.56+1797.76+3069.16+14018.56)}{5}[/tex]
= [tex]\frac{43661.2}{5}[/tex]
Variance = 8732.24
To calculate standard deviation, we take the square root of the variance = [tex]\sqrt{8732.24}[/tex]
Standard deviation = 93.44645526 ≈ 93.45
Variance = 8732.24 and standard deviation = 93.45
Dana kicks a soccer ball. The table shows the height of the soccer ball with respect to the time, in seconds, after the ball was kicked.
Time | Height
(Seconds) | (Feet)
~~~~~~~~~~~~~~~
0.5 21
1 34
1.5 39
2 36
2.5 25
3 6
Which Graph best displays the relationship shown in the table?
(i just need confirmation that its C)
Answer: It is!!!!!!!!
Answer:
The correct option is C.
Step-by-step explanation:
The standard form of a parabola is
[tex]y=ax^2+bx+c[/tex]
The table of values represents the coordinate pairs of the parabola. It means the graph of the parabola must be passes through these coordinate pairs.
From the given table it is clear that the parabola passes through the points (0.5,21), (1,34) and (1.5,39).
[tex]21=a(0.5)^2+b(0.5)+c[/tex]
[tex]21=0.25a+0.5b+c[/tex] .... (1)
[tex]34=a(1)^2+b(1)+c[/tex]
[tex]34=a+b+c[/tex] .... (2)
[tex]39=x(1.5)^2+y(1.5)+z[/tex]
[tex]39=2.15a+1.5b+c[/tex] .... (3)
On solving (1), (2) and (3), we get
[tex]a=-16, b=50,c=0[/tex]
The equation of parabola is
[tex]y=-16x^2+50x+0[/tex]
[tex]y=-16x^2+50x[/tex]
The graph of parabola is shown below. It is same as graph in option C.
Therefore the correct option is C.
Compare the three functions.
f(x) = 10x
x y
0 0
1 10
2 20
g(x) = 5x
x y
0 1
1 5
2 25
h(x) = 4x2 + 5x
x y
0 0
1 9
2 26
Select the true statement.
A.
As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions.
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions.
C.
As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.
D.
As x approaches positive infinity, it cannot be determined which function will exceed the other two.
Answer:
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)
Step-by-step explanation:
We can easily solve this problem if we plot each graph by using a graphing calculator or any plotting tool.
1st function
f(x) = 10x
2nd function
g(x) = 5^x
3rd function
h(x) = 4x^2 + 5x
Please, see attached graph.
A.
As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions. FALSE
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)
C.
As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.FALSE
D.
As x approaches positive infinity, it cannot be determined which function will exceed the other two.FALSE
Answer:
b
Step-by-step explanation:
just look up