Answer:
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
Step-by-step explanation:
Equivalent expressions are those expressions that simplify to the same expression i.e. the result of both expressions is the same. There is no change of sign or variable or any quantity.
Option H:
The two expressions are:
7(x − 3) and 7x − 7 • 3
[tex]7(x-3) = 7x - 21\\7x - 7.3 = 7x-21[/tex]
It can clearly be seen that both the expressions result in same expression
Hence,
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
Brian is spending money at the average rate of $3 day. After 14 days he has $68 left. The amount left depends on the number of the days that have passed. How much money did brian start with
9514 1404 393
Answer:
$110
Step-by-step explanation:
At an average rate of $3 per day, in 14 days Brian will have spent ...
($3/day)(14 days) = $42
If he has $68 left, then he must have started with ...
$68 +42 = $110
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet
long. How tall is a man who can cast a shadow that is 14 feet long?
PLEASE ANSWER QUICK 20 POINTS!!!!!
Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Step-by-step explanation:
h=11.4 in
r=5.1 in
v=3.14*r^2*(h/3)
V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35
A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 16 feet from the wall.
Answer:
0.17 °/s
Step-by-step explanation:
Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.
We differentiate the above expression with respect to time to have
dsinθ/dt = d(D/L)/dt
cosθdθ/dt = (1/L)dD/dt
dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.
We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft
We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]
dθ/dt = (1/Lcosθ)dD/dt
dθ/dt = (1/L√[1 - (D/L)²])dD/dt
dθ/dt = (1/√[L² - D²])dD/dt
Substituting the values of the variables, we have
dθ/dt = (1/√[20² - 16²]) 2 ft/s
dθ/dt = (1/√[400 - 256]) 2 ft/s
dθ/dt = (1/√144) 2 ft/s
dθ/dt = (1/12) 2 ft/s
dθ/dt = 1/6 °/s
dθ/dt = 0.17 °/s
answer this correctly please
Answer:
8x-25
Step-by-step explanation:
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
b. y =
Choose the equation for the graph
below.
2x-6
a. y =
x+4
3
4x+8
5x+10
C. y =
x²-1
–3x²
2x+6
- 2x2
e. y =
x²_9
d.y=
Answer:
2 4 23
Step-by-step explanation:
Jordan bought an all-in-one printer that regularly sells for $249.99 at the markdown rate of 32%.
Answer: 167
Step-by-step explanation: 249.99 - 32% is 167
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Answer:
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
Step-by-step explanation:
Voltage Sources in Series
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
[tex]2 + 6\mathbf{i}[/tex]
[tex]a + b\mathbf{i}[/tex]
[tex]2 - 5\mathbf{i}[/tex]
The sum of these voltages is:
[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]
Operating:
[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]
We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:
[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
The voltage at the middle source is;
E2 = (2 + 4i) V
From the image, we see the voltage at each point as;
E1 = (2 + 6i) V
E2 = (a + bi) V
E3 = (2 - 5i) V
The given voltages are in series and as such the total voltage will be;
E_t = E1 + E2 + E3
We are told that the total source voltage is (6 - 3i)V. Thus;
(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)
Rearranging gives;
(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)
(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i
(a + bi) = 2 - 4i
The middle source voltage is E2 = (a + bi) V. Thus;
E2 = 2 - 4i
Read more at;https://brainly.com/question/8151005
Jenny runs track for HMS. She runs 2 miles at practice each morning. Jenny is curious, and wants to know how many feet she runs each morning.
Calculate how many feet Jenny runs at practice each morning.
O 11,516 feet
O 10,560 feet
O 10.463 feet
0 10,065 feet
Answer:
10,560
Step-by-step explanation:
1 mile=5,280 feet
5,280x2=10,560
A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2 and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?
The graph of the function is positive on (-6, -2). The graph of the function is negative on (-∞, 0). The graph of the function is positive on (-2, 4). The graph of the function is negative on (4,∞)
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Answer:
(a) The graph of the function is positive on (-6, -2)
Step-by-step explanation:
A function of odd degree and positive leading coefficient will be negative from -∞ to the left-most zero. Here, that zero is -6. The multiplicity of that zeros is odd (1), so the sign changes to positive at that point, and remains positive until the next odd-multiplicity zero, which is -2, with multiplicity 3.
Hence the function is positive on the interval (-6, -2), matching choice A.
Answer:
a
Step-by-step explanation:
A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?
The winter temperature in London is 5° Celsius. What is that in Fahrenheit?
Answer:
41 Fahrenheit
Step-by-step explanation:
The convertion formula is:
(C × 9/5) + 32 = F
So if we fill in the blanks we get:
(5°C × 9/5) + 32 = 41°F
So the anwser is 41°F
You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y after x seconds.
Find the quadratic function y=ax^2+bx+c whose graph passes through the given points.
1 -> 339
3 -> 271
4 -> 189
Answer:
1
Step-by-step explanation:
:)))))))))))))))))))))
Answer:
Please check the explanation.
Step-by-step explanation:
1)
From the graph, taking the two points
(3, -5)
(-3, 5)
The slope between (3, -5) and (-3, 5) will be:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{5-\left(-5\right)}{-3-3}[/tex]
[tex]m=-\frac{5}{3}[/tex]
Therefore, the slope is:
[tex]m=-\frac{5}{3}[/tex]
2)
1ST METHOD
We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y
As the graph crosses the y-axis at x=0From the graph, it is clear that:
at x=0, y=0
Thus, the y-intercept is: (0, 0)
2ND METHOD
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where 'm' is the slope and 'b' is the y-intercept
substituting the point (3, -5) and m=-5/3 in the slope-intercept form
[tex]y=mx+b[/tex]
[tex]-5=\frac{-5}{3}\left(3\right)+b[/tex]
[tex]\frac{-5}{3}\left(3\right)+b=-5[/tex]
[tex]-5+b=-5[/tex]
[tex]b=0[/tex]
Thus, the y-intercept is: (0, 0)
3)
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
substituting m=-5/3 and b=0 to determine the equation line in the slope-intercept form
[tex]y=\frac{-5}{3}x+0[/tex]
Therefore, the equation line in the slope-intercept form is:
[tex]y=\frac{-5}{3}x+0[/tex]
where m=-5/3 and b=0
how to give points
nsdfjfjrs d,nvcnjsd
Answer: answer questions
Step-by-step explanation:
Answer:
tyyyy hope you have a good holiday !!!!!!!
<3333
2x
+1 = 7
-Z | -1
= [?]
=
2x
3
Answer: nop
Step-by-step explanation:
Taylor invested $11,000 in an account paying an interest rate of 3-5% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 14 years?
Answer: 17955
Step-by-step explanation:
What is the value of x?
x =
( number only )
Answer:
9
Step-by-step explanation:
90+(9x5)+9= 90+
PLSSSSSSSSSSSSSSSSSSSSSS HELP
Answer:
a + (a + 6b)
2a + 6b
(a + 3b)2
Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?
Answer:
B
Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer
Each of Liam's neighbors pays him the same amount for walking one of their dogs. Last week, he earned $25 for
walking 4 of his neighbors' dogs. Which graph below best represents the linear relationship between x, the number of
dogs Liam walks, and y, the total amount of money he earns for walking them?
Answer:
The options are not shown, but we can craft the graph so you can find the one that matches it.
We know that:
Each neighbor pays the same, let's define this amount as A.
Last week, he walked 4 dogs, then the amount that he collected must be four times A, or:
4*A
And we know that this amount is $25, then:
4*A = $25
A = $25/4 = $6.25
Then we can write the relationship:
y = $6.25*x
where:
y = money that Liam earns.
x = number of dogs Liam walks.
The graph of this line is shown below.
There are 100 Takis in a 20 oz bag. Which proportion is written correctly so that you can find the
number of Takis in a 7 oz bag?
Answer: 35
Step-by-step explanation:
20 divided by 7 = 2.8
100 divided by 2.8 = 35
6 people go to restaurant they arrived randomly at different times in how many ways can they arrive
Answer:
6
Step-by-step explanation:
Answer:
yeah 6 times.
Step-by-step explanation:
The domain of function f(x) is the set of all integers from 0 to 15, and the range of f(x) is the set of all multiples of 5 from 0 to 75. Part A: Which of the following points might be on the graph of(f(x)? O (5, 1) 0 (7, 15) 0 (10, 80) (20, 10) Part B: Which of the following statements must be false about f(x)? Select all that apply. f(0) = 0 $(2) = 1 O O O O O. f(5) = 5 Of(10) = 75 of(15) = 100
Answer:
pt1 = d and pt 2= c and d
Step-by-step explanation:
Answer:
I know for fact part A is correct but I’m iyffy abt part B
Step-by-step explanation:
Hope it helps
Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B
Answer:
A if i'm not mistaking
Step-by-step explanation:
What is 86% of 950? *
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
Pleaseeeee helppppppp
Answer:
Step-by-step explanation:
since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve
x = -(2x) + 6
x = -2x + 6
3x = 6
x = 2
plug in our x to the original equation
y = 2(2)
y = 4
so our answer is (2,4)
hope this helps <3
Answer:
x = 2
Step-by-step explanation:
If y is 2x, and x is -y + 6, what's x?
So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:
x = -y + 6
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2