We want to see where Oliver is making a mistake in his claim.
The correct option is the first one, the simplification on the last step is wrong.
We start with the expression:
[tex]tan( \frac{3*pi}{4} + x)[/tex]
Now, by looking at Olvier's work, we can see that on the last step he writes:
[tex]\frac{-1 + tan(x)}{1 + tan(x)} = -1[/tex]
This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:
[tex]\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1[/tex]
Then the correct option is the first option.
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HELPPP!!! WILL MARK BRAINLIEST!!! 10 PTS
Find an equation for the graph sketched below:
Answer:
Plot the coordinate points and connect them with a smooth curve.
Hope This Help you po..
pa brainlest?
The equation for the graph is y = [tex]2(3)^{x} -5[/tex] .
What are Exponential Equations?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
Standard exponential equation :
y = [tex]a(b)^{x} + k[/tex]
where a is the initial value
b represents the base of the exponential function
x will represent the input of the function
y = k is the single horizontal asymptote
k is constant
According to the question
The figure in the graph is an exponential graph .
To derive the equation
we will use Standard exponential equation :
y = [tex]a(b)^{x} + k[/tex]
Now,
There are two points in graph
(0.-3) and (1,1)
k = - 5 ( distance from 0)
now ,
Substituting the values
y = [tex]a(b)^{x} + k[/tex]
y = [tex]a(b)^{x} -5[/tex]
for point (0.-3)
-3 = [tex]a(b)^{0} -5[/tex]
-3 = [tex]a -5[/tex]
a = 2
for point (1,1)
1 = [tex]2(b)^{1} -5[/tex]
1 = 2b - 5
b = 3
Therefore , equation of exponential graph is
y = [tex]2(3)^{x} -5[/tex]
Hence ,The equation for the graph is y = [tex]2(3)^{x} -5[/tex] .
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write 1234 base 5 in powers of 5.
Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
Jane went on a 50-minute bicycle ride. Choose the graph that best matches the given key features. Y-intercept: Jane starts at 0 miles from her house…… PLEASE HELP ILL MARK BRAINLIEST
Explanation: the correct answer is C.
Use the substitution method to solve the system.
2x + 8y = 4
x = -4y - 2
Answer:
no solution
Step-by-step explanation:
2x + 8y = 4
x = -4y - 2
Divide both sides of the first equation by 2.
x + 4y = 2
x = -4y - 2
Substitute -4y - 2 for x in the first equation.
-4y - 2 + 4y = 2
0 - 2 = 2
0 = 4
Since after doing legal steps, we get a false statement, 0 = 4, that means there is no solution.
=
Find the slope of the graph of — 4x + 2y = 10 by
rewriting the equation in slope-intercept form.
Answer:
multiply by -1
Step-by-step explanation:
Slope intercept form : y = mx + b
-4x + 2y = 10 Solve the equation for y
+4x = +4x
2y = 4x + 10
y = 4x/2 + 10/2 Divide all terms by 2
multiply by -1 Simply
A rectangles has a length 2 ft less than three times its width what is the area of the rectangle when its width is 2 ft
Answer:
8
Step-by-step explanation:
rectangle length is 2-3w
w=2
3 x 2=6 - 2=4
l x w
4 x 2 =8
Fill in the blanks please!!
Answer:
6,I can't help with the second one I wasn't good with that parallel lines
Step-by-step explanation:
Y2-Y1. So 3-9. 6
--------- - - -- = - - =6
X2-X1. 1-2. 1
What are the law of indices
Answer:
What are the laws of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.
Step-by-step explanation:
The first law: multiplication
The second law: division
The third law: brackets
Negative powers
Power of zero
Fractional powers
In a class of 29 students, 10 are female and 20 have an A in the class. There are 2 students who are male and do not have an A in the class. What is the probability that a female student does not have an A?Answer this
Answer:
The probability would be 3 out of the 10 girls
Step-by-step explanation:
The probability that a female student does not have an A on the test is 7/29.
What is the probability that a female student does not have an A?
Probability is mathematical operation that is used to determine how likely a stated event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a female student does not have an A = number of females that do not have an A / total number of females
(29 - 20 - 2 )/ 29 = 7/29
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What is the geometric series
1,-5,25,-125.......n=8 please this is 30 points
Answer:
-5
Step-by-step explanation:
b1 = +1
b2= -5
b3 = +25
b4 = -125
q = -5 (if u times it -5, u will have every second + or -)
q = [tex]\frac{b2}{b1}[/tex] = -5:1 = -5
9514 1404 393
Answer:
the sum of 8 terms of the series is -65104.
Step-by-step explanation:
The first term is 1.
The common ratio is (-5)/(1) = -5.
The sum of 8 terms is ...
S8 = a1(r^8 -1)/(r -1)
S8 = 1((-5)^8 -1)/((-5) -1) = 390624/-6 = -65104
The sum of 8 terms is -65104.
__
The 8th term is 1·(-5)^(8-1) = -78,125.
11. Find the slope of a line which passes through the points (3,4) and (8,-1).
a. -1
b. 1
c. ⅗
d. 5/3
Answer:
A
Step-by-step explanation:
Slope = (change in y)/ (change in x)
= (-1 - 4)/ (8 - 3)
= -5/5
= -1
right please no link or bot
Answer:
3^18
Step-by-step explanation:
Hope it helps
Answer:
3^3
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds?
Can you answer number 7
Answer:
x= 62
Step-by-step explanation:
brainliest please
Given that A = 60° and B = 30'. evaluate (sin
2 cos A) + cos B. leaving your answer in surd
form
The area of the table should be
10 ft2. You want the length of the table to be 1 ft shorter than twice its width.
What should the dimensions of the table be?
Answer: width : 2.5 ft. and length : 4 ft.
Step-by-step explanation:
The area = W × L
[tex]10=W(2W-1)[/tex]
[tex]10=2W^{2} -W[/tex]
[tex]0 = 2W^{2}-W-10[/tex]
[tex]0=(2W-5)(W+2)[/tex]
W = 2.5 and -2
You can't use -2 so
[tex]L = 2(2.5)-1[/tex]
[tex]L = 4[/tex]
please give me a brainliest answer
There are 4 red balls and 6 black balls in a bag. Draw consecutively 3 balls with replacement. Find the probability when the first two balls drawn are black and the third ball drawn is red.
Answer:
[tex]\frac{1}{3} *\frac{1}{2} =\frac{1}{6}[/tex]
Step-by-step explanation:
So the first two balls are black, so the way to change the path is to take two out of six black balls over two out of ten balls, which is 1/3.
If the last one is red then the probability is that if you take one of the four red balls and you take one of the eight balls, you get 1/2.
So the total probability is 1/3 times 1/2 is 1/6.
Hurry!!!
At Smith’s bike rentals it cost $17 to rent a bike for three hours how many hours of bike does a customer get per dollar??
Answer:
3/17 hours per dollarStep-by-step explanation:
Use the ratio below:
$17 → 3 hours$1 → xSolve for x:
17x = 3x = 3/17Step-by-step explanation:
[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]
[tex]\sf\longmapsto \: \$ 1 = x[/tex]
Now, Solve x–
[tex]\sf\longmapsto17x = 3[/tex]
[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]
Therefore,for 3/17 hours of bike a customer get per dollar.
If AB= 4 units and DC=4 units , what is the length of BC?
answer 4
Step-by-step explanation:
if ab 4
dc 4
assuming a square bc 4
Urgent!!!⚠️⚠️⚠️⚠️⚠️⚠️⚠️It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre
Answer:
9.2 pounds per acre
Step-by-step explanation:
Divide 46÷5, 9.2
46 represents the pounds of seeds
5 represents how many acres in the field
If there were 310 million people in the United States, what was the daily consumption rate in barrels per person in the United States? This is also called "barrels per capita." Round to the nearest hundredth of a barrel.
The daily consumption rate in the United States will be 10 barrels per person.
Your question is incomplete as you didn't provide the total barrels, therefore, an overview of the answer will be given. In their case, let's assume that the total barrels is given as 3.1 billion.
Therefore, the barrels per person will be:
= Total barrels / Population
= 3.1 billion / 310 million
= 10 barrels per person.
In conclusion, the correct option is 10 barrels per person.
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please please help with question 18
The Correct choice is :
[tex]y = \dfrac{3}{5} x + 2[/tex]Explanation :As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :
[tex] \dfrac{3}{5} [/tex]now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :
[tex]y - y1 = m(x - x1)[/tex][tex](y - ( - 1)) = \dfrac{3}{5} (x - ( - 5))[/tex][tex]y + 1 = \dfrac{3}{5} (x + 5)[/tex][tex]5(y + 1) = 3(x + 5)[/tex][tex]5y + 5 = 3x + 15[/tex][tex]5y = 3x + 15 - 5[/tex][tex]5y = 3x + 10[/tex][tex]y = \dfrac{3x + 10}{5} [/tex][tex]y = \dfrac{3}{5} x + 2[/tex]therefore , the correct choice is A
Please help-!! hurry
Answer:
180
Step-by-step explanation:
solve for x and y in the following equation.
2x - 3y = 9.......(I)
2x + y = 13.......(ii)
x + 7y = 10.......(I)
3x - 2y = 7.......(ii)
5x + y = 10.......(I)
7x - 3y = 14......(ii)
Answer:
just rearrange the equation. I did the first one. Do the same for the rest.
2x - 3y = 9
-3y = -2x + 9
y = -2/-3x + 9/-3
y = 2/3x - 3
Step-by-step explanation:
Álgebra ajajajajajajajajaja
How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every
Answer:
1) 6 lines of symmetry
2) 360 ÷ 6 = 60°
I need to turn this in before 11:59!!!!!!
Solve for x.
4.0 – 3
3
= 7
Enter your answer in the box.
X=
Answer:
I'm sorry if its incorrect
Answer:
x=6
Step-by-step explanation:
answer is in the photo
Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
1) rule:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2)}[/tex]
2) according to the rule above:
[tex]d=\sqrt{36+4}=2\sqrt{10};[/tex]
d≈6.3
Answer:
6.3
Step-by-step explanation:
Có 2 chuông gà: chuồng 1 có 5 trống 10 mái ,chuồng 2 có 6 trống 14 mái. Có 1 con ở chuồng 2 nhảy sang chuồng 1 . từ chuồng 1 bắt ngẫu nhiên ra 2 con. Tính xác suất bắt được
a . 2 con trống
Each big square below represents one whole. what percent is represented by the shaded area?
Answer:
175%
Hope this helps!