Answer:
Line 1 to line 2: Distributive property.
Line 2 to line 3: Commutative property.
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
33
plsss mark brainliestt
Step-by-step explanation:
4(7)+23+2/8-3
28+25/5
28+5=33
11/14 as a repeating decimal using bar notation
Step-by-step explanation:
______
0.7857142
note the first 7 is not included in the bar
Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8
Answer:
See Below.
Step-by-step explanation:
By definition, if two functions, f and g, are inverses, then:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
We are given the two functions:
[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]
Find f(g(x)) and g(f(x)):
[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]
Hence, f and g are indeed inverses of each other.
What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3
Answer:
the answer would be x^2 - 2x + 3
have a good day !! :D
Step-by-step explanation:
Answer:
D. x2 – 2x + 3
Step-by-step explanation:
Edge 2023
Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 for the same trip. One day 8 canoes and 4 kayaks were not rented. How much money was collected for rent-als that day?
How much he makes in 1 hour.
Answer: $14.5
Step-by-step explanation:
What is percent 10 1/4 of 66?
jennifer works at whataburger and earned 168.75 last week. If she worked 22.5 hours, how much does she earn per hour?
Answer:
7.5
Step-by-step explanation:
168.75 divided by 22.5 = 7.5
$7.50 dollars an hour.
7.50 x 22.5 = 168.75
I need the answer to this plsss
Answer:
7 cm
Step-by-step explanation:
divide 56 by 8
area=length×width
width=area÷length
=56÷8=7 cm
The underlined digit is 3 wat the value of this number
285,003
Answer:
just 3
Step-by-step explanation:
it would be just 3 because there is no number behind it
Ten less than the product of 5 and the difference of a number and one is twice the number. What is the number?
Answer: 5
Step-by-step explanation:
5(n-1)-10=2n
5n-5-10=2n
5n-2n = 10+5
3n = 15
n = 15/3
n = 5
Evaluate expression
a) -19 + 3(-13 + 4*3)
b) | -7(2) |
c) 15 – 3 | - 4-2 |
Answer:
well i know the first one
-19+3(-13+4*3)
= -19+3(-13+12)
= -19+3(-1)
= -19-3
= -22
What are the solutions of the following system?
[x2 + y2 = 25
2x+y=-5
0 (0,-5) and (-5, 5)
O (0, -5) and (5, -15)
O (0,-5) and (-4, 3)
O (0, -5) and (4, -13)
Answer:
5h-fgtx56=y2-6
Step-by-step explanation:
sorry if wrong:(
Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...
The Answer is:
an = -15 + 9(n - 1)
A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?
Answer:
Step-by-step explanation:
P{2 of 4 tagged}=(52)(152)(204)
=0.2167
Help please help help please please please
Answer:
C. [tex] \frac{5}{4} [/tex]
D. [tex] \frac{6}{7} [/tex]
Step-by-step explanation:
C. [tex]2 - \frac{12}{16} [/tex]
[tex] = 2 - \frac{3}{4} [/tex]
[tex] = \frac{8 - 3}{4} [/tex]
[tex] = \frac{5}{4} [/tex]
D. [tex] \frac{20}{22} \times \frac{33}{35} [/tex]
[tex] = \frac{10}{11} \times \frac{33}{35} [/tex]
[tex] = 10 \times \frac{3}{35} [/tex]
[tex] = 2 \times \frac{3}{7} [/tex]
[tex] = \frac{6}{7} [/tex]
PLEASE HELP meee!! ┗( T﹏T )┛ A point is plotted on the number line at 234 . A second point is plotted at −413 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
7 1/12
Step-by-step explanation:
i just know
Answer:
its -4 1/3
Step-by-step explanation:
I’ll mark you as brainliest!
Write a compound inequality for the graph shown below.
Use x for your variable.
Step-by-step explanation:
what i understand is x is a axis
Please helpppppp????
Answer:
hii
Step-by-step explanation:
which question do you want
x – Зу +8x47+ 15 – 4у
Answer:
X-7y+391
Step-by-step explanation:
First multiply
8x47=376
Now group those that are the same together
X-3y -4y+376 +15
X-7y+391
Answer:
x - 7y + 391
Step-by-step explanation:
[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]
[tex]x - 3y + 376 + 15 - 4y[/tex]
[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]
[tex]x - 7y + 376 + 15[/tex]
[tex] = x - 7y + 391[/tex]
A rectangular tank 160 cm long and 80 cm wide is filled with some water. John puts a cube with side 40 cm long into the water. What is the rise in water level if the cube is completely immersed?
Answer:
The water level would rise by [tex]5\; \rm cm[/tex].
Step-by-step explanation:
Assume that the initial water level is [tex]h\; \rm cm[/tex].
Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].
Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].
The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].
In other words:
Volume of water in this tank: [tex](80 \times 160)\, h\; \rm cm^{3}[/tex], whereasVolume of water in this tank, plus the volume of the submerged cube: [tex](80 \times 160) \, (x + h) \; \rm cm^{3}[/tex].Therefore, the volume of the submerged cube could be expressed as:
[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].
On the other hand, the volume of the cube could be expressed as:
[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].
Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:
[tex](80 \times 160)\, x = 64000[/tex].
[tex]x = 5[/tex].
In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].
PLEASE HELP POINTS AND BRAINLIEST WILL BE GIVEN
Answer:
- 376
Step-by-step explanation:
8u = 8(- 8i + 3j ) ← multiply each element by 8
= - 64i +24j
Then
(- 64i + 24j ) • (4i - 5j )
= (- 64 × 4) + (24 × - 5)
= -256 + (- 120)
= - 256 - 120
= - 376
Is this correct i am not sure
Answer:
YesStep-by-step explanation:
Collinear points are the points on the same line.
We see that points E, B and F are part of same line n.
Your answer is correct.
Answer:
EBF points are coplaner
Step-by-step explanation:
Coplaner points are the points which are ColinearThey are situated in one line .if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher
Out of all the trains currently at Middlebury Station, 5 are
headed east, 4 are headed west, and 9 are headed north.
What is the probability that a randomly selected train will be
heading north?
Work Shown:
9 trains headed north
5+4+9 = 18 trains total
P(north) = (# of north)/(# total) = 9/18 = 1/2
Proportions-
Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?
Answer:
the width would be 20 inches
Step-by-step explanation:
32 = 8 × x
32 ÷ 8 = 4
so now multiply 5 by 4 which equals 20 inches
f(x)=x2
g(x)=x−3
Find the composition of the two functions and show your process:
g(f(x))
Answer:
g(f(x)) = x² - 3
Step-by-step explanation:
g(f(x))=g(x²)
= x² - 3
Step-by-step explanation:
[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ g(f(x)) = g( {x}^{2} ) = {x}^{2} - 3 \\ thank \: you[/tex]
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards? Be sure to include the correct unit in your answer.
Answer:
[tex]180 ft.^2[/tex]
Step-by-step explanation:
[tex]15 ft.[/tex] × [tex]12 ft.= 180 ft.^2[/tex]