which statement best describes f(x)=-2√x-7+1
it is under mapping and function
f of x is equal to -2 root x-7 plus one
2) For a negative number, x, is the absolute value of x a positive number or a negative number? Explain.
Answer:
A positive number.
Step-by-step explanation:
Absolute value means that no matter if the number is positive or negative, it will always be positive, e.g. | -4 | would be 4 or | 4 | would also be 4.
Suppose carpet for a 12ft by 14ft room costs $400 find the cost to carpet a room 48ft by 56ft
Answer:
[tex]\$\ 6400[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.
2. Find the area of the first room
Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,
[tex](length)(width)=Area[/tex]
The following are the dimensions of the given room,
[tex]length = 14\\width = 12[/tex]
Substitute into the formula to find the area and simplify to solve,
[tex](length)(width)=Area[/tex]
[tex](14)(12)=Area_1[/tex]
[tex]168=Area_1[/tex]
3. Find the price of carpeting per square foot
To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.
[tex]\frac{carpeting\ price_1}{area_1}[/tex]
[tex]=\frac{400}{168}[/tex]
Simplify,
[tex]=\frac{400}{168}[/tex]
[tex]=\frac{50}{21}[/tex]
4. FInd the area of the second room
Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.
[tex](length)(width)=Area[/tex]
[tex]length = 48\\width = 56[/tex]
Substitute and simplify to sovle,
[tex](length)(width)=Area[/tex]
[tex](48)(56)=Area_2[/tex]
[tex]2688=Area_2[/tex]
5. Find the price for carpeting the room
Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]2688=Area_2[/tex]
[tex]\frac{50}{21}=carpeting\ price[/tex]
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
Simplify to solve,
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=6400[/tex]
What is the best measurement to eastimate the volume of a juice box
1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.
Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:
A)
Yes, because adjacent angles aren't supplementary.
B)
No, because adjacent angles aren't congruent.
C)
There isn't enough information.
D)
Yes, because opposite angles are congruent.
Answer:
D ig?
Step-by-step explanation:
Because opposite angles are equal in parallelogram
K4.m, if k = 3 and m = 5/6
Replace k with 3 and m with 5/6
3^4 x 5/6
Simplify 3^4 which is 3 x 3 x 3 x 3= 81
Now you have :
81 x 5/6 = 67 and 1/2 ( 67.5 as a decimal)
HELPP
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answer:
Given [tex]f(x)=2x^3+4[/tex], the average rate of change of [tex]f[/tex] on the interval [tex][4,6][/tex] is [tex]152[/tex]
Step-by-step explanation:
Applying the average rate of change formula, we find[tex]\frac{f(6)-f(4)}{6-4}=\frac{2\cdot6^3+4-2\cdot4^3-4}2=\frac{432-128}2=\frac{304}2=152[/tex]
what is a radian measure of a 75° angle?
Answer:
1.309
Step-by-step explanation:
75° =the radian of 1.309
hope it's right have a great day!
Answer:
[tex] \frac{5 {\pi}^{c} }{12} [/tex]
Step-by-step explanation:
Radian measure of 75°
[tex] = 75 \times \frac{ {\pi}^{c} }{180 \degree} \\ \\ = \frac{5 {\pi}^{c} }{12} [/tex]
help me do this please
Answer:
58
Step-by-step explanation:
I think you add it when you add it you get 58. You add the angles
which statement below correctly describes the diagram
9514 1404 393
Answer:
(a) the diagram is incorrect
Step-by-step explanation:
There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.
please help me ill give all points
Answer:
you go this! i ant expain but its mostly false and rue but sorry
Step-by-step explanation:
Two major league players got a total of 226 hits. Washington had 18 more hits than Sanchez. Find the number of hits for each player.
Answer:
Washington had 115 hits and Sanchez had 111 hits.
Step-by-step explanation:
2s + 4 = 226
2s = 222
s = 111
s + 4 = 115
Please help me ( ̄ ‘i  ̄;)
Answer:
-6 + 4 = -2
Step-by-step explanation:
Just start from -6 then go to the right four places and you'll get -2
lim x-> 0^+ (1+sin7x)^8/x
If you mean
[tex]\displaystyle \lim_{x\to0^+} \frac{(1+\sin(7x))^8}x[/tex]
then the limit doesn't exist, since 1 + sin(7x) approaches 1 while the denominator approaches 0.
However, if instead you mean
[tex]\displaystyle \lim_{x\to0^+}(1+\sin(7x))^{8/x}[/tex]
rewrite the limand as
[tex](1+\sin(7x))^{8/x} = \exp\left(\ln(1+\sin(7x))^{8/x}\right) \\\\ = \exp\left(\dfrac{8\ln(1+\sin(7x))}x\right) \\\\ =\exp\left(\dfrac{\ln(1+\sin(7x))}x\right)^8[/tex]
The exponential function is continuous at 0, so we can pass the limit through it:
[tex]\displaystyle\lim_{x\to0^+}\exp\left(\dfrac{\ln(1+\sin(7x))}x\right)^8 = \exp\left(\lim_{x\to0^+}\dfrac{\ln(1+\sin(7x))}x\right)^8[/tex]
The remaining limit takes the indeterminate form 0/0, since ln(1 + sin(7x)) approaches ln(1) = 0, and so does x in the denominator. Apply L'Hopital's rule:
[tex]\displaystyle\exp\left(\lim_{x\to0^+}\dfrac{7\cos(7x)}{1+\sin(7x)}\right)^8 = \exp\left(7\right)^8 = \left(e^7\right)^8 = \boxed{e^{56}}[/tex]
What is the correct formula for finding the 6th power of a complex number in polar form?
Answer:
Step-by-step explanation:
Let [tex]z=r\cos \theta + i\sin \theta[/tex]
then by the Moivre
[tex]z^6 = r^6 \left( \cos \theta +i\sin \theta)^6= r^6\left(\cos (6\theta) + i\sin(6\theta)\right)[/tex]
help plzz.... ASAP..
Answer: y = 8, x =5
Step-by-step explanation:
x+y = 13
or, x = 13-y
so
2x - y = 2
substituting x's value
2(13-y)-y = 2
or, 26-2y-y = 2
or, 26-3y=2
or, 26-2 = 3y
or, 24 = 3y
so, y = 8
now
x = 13-y
so, x = 13-8 = 5
suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.
v=t^2-8t+15
It has upper limit 4 and lower limit 2[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]
[tex]\\ \sf\longmapsto s=15.3-18[/tex]
Take it +ve[tex]\\ \sf\longmapsto s=|-2.7|[/tex]
[tex]\\ \sf\longmapsto s=2.7km[/tex]
Months Days. Hours
12 7 19
Step-by-step explanation:
12 months
7 days
19 hours
What is the sum? 4(^5sqrt x^2y)+3(^5sqrt x^2y)
Answer:
[tex]4( \sqrt[5]{ {x}^{2} y} ) + 3( \sqrt[5]{ {x}^{2}y } ) \\ [/tex]
factorise out the 5th root of x²y :
[tex] = \sqrt[5]{ {x}^{2}y } (4 + 3) \\ = 7( \sqrt[5]{ {x}^{2} y} )[/tex]
The total number of elements in the power set of a set A containing ‘n’ elements is
Step-by-step explanation:
Number of Elements in Power Set - For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent), possible subsets are 2x2x2.. n times = 2^n. Therefore, power set contains 2^n elements.
Can anyone help me with this please :00
Answer:
D. 3×2
This is ur answer ...
If Efx =1050 and mean x =15 find the value of N
Answer:
your answer is 70.
Step-by-step explanation:
mean=Efx/n=1050/15=70
Find the sum
No Links
Answer:
-20
Step-by-step explanation:
Since we are adding two negative integers, we can write it as -16 - 4 to make it easier.
-16 - 4 = -20
Best of Luck!
The table shows the times for the 100-meter dash. What is the
difference between the men'stime and the women's time?
Write your answer in both decimal and fraction form.
Times for 100-meter Dash
Men's winner
9.58
2009
Women's winner
10.49
1988
Answer:
0.91 (make sure to include unit of measurement)
Step-by-step explanation:
10.49 - 9.58 = 0.91
Find the area of the square whose side is 3x2 - y
Answer:
3X2 =6-y
6-y
——-
-6-y = -y squared
Step-by-step explanation:
The length of a rectangle is 10 meters more than its width. If the perimeter of the rectangle is 80 meters, find the dimensions of the rectangle
Answer:
Step-by-step explanation:
L = w + 10
w = w
P = 2w + 2L
P = 80 m
2L + 2w = 80 Substitute for L
2(w + 10) + 2w = 80 Remove the brackets
2w + 20 + 2w = 80 Combine on the left
4w + 20 = 80 Subtract 20 from both sides
4w = 80 - 20
4w = 60 Divide by 4
w = 60/4
w = 15
L = 15 + 10 = 25
Check
2*25 + 2*15
50 + 30
80
So this checks
At a grocery store, you want to buy 4 1/10 lb of turkey. What decimal should the digital scale show? The digital scale should show .
This is because the fraction 1/10 turns into 0.1
Note that in 0.1, the "1" is in the tenths place to represent "one tenth".
Write a formula for the number of subsets of any set; identify any symbols use
Please help!!
Mark brainliest!!!
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?
Answer:
28
Step-by-step explanation:
x=blue
y=white
x+y=40
30x+20y=920
30(x+y=40) ; 30x+30y=1200___[1]
30x+20y=920 ; 30x+20y=920___[2]
[1]-[2] : 30x+30y-30x-20y=1200-920
10y=280
y=28
painter buys 28 white gallons
Find the perimeter and area of a rectangle of cardboard measuring 11.3 cm by 14.8 cm.
Area of rectangle = Length * Width
Length = 11.3 cmWidth = 14.8 cmArea = 11.3 cm * 14.8 cm
Area = 167.24
PerimeterPerimeter of rectangle = 2 (L + W)
Length = 11.3 cmWidth = 14.8 cmPerimeter = 2 (11.3 cm + 14.8 cm)
Perimeter = 2 (26.1 cm)
Perimeter = 52.2 cm²
Final AnswerArea of rectangle is 167.24 cm²
Perimeter of rectangle is 52.2 cm²