Answer: B
Step-by-step explanation:
You are given the function
p(x) = √5x+7
Let p(x) = y then,
Y = √5x+7
To find the inverse of a function, you need to interchange x and y and make y the subject of formula. That is,
X = √5y+7
Square both sides
X^2 = 5y + 7
Make y the subject of formula
5y = x^2 - 7
Y = ( x^2 - 7 ) / 5
the correct answer is B
Find dy/dx by implicit differentiation for x – y = xy.
Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]
Step-by-step explanation:
Differentiate xy using the product rule, then
Given
x - y = xy
1 - [tex]\frac{dy}{dx}[/tex] = x. [tex]\frac{dy}{dx}[/tex] + y. 1 = x[tex]\frac{dy}{dx}[/tex] + y ( subtract 1 from both sides )
- [tex]\frac{dy}{dx}[/tex] = x [tex]\frac{dy}{dx}[/tex] + y - 1 ( subtract x [tex]\frac{dy}{dx}[/tex] from both sides )
- [tex]\frac{dy}{dx}[/tex] - x [tex]\frac{dy}{dx}[/tex] = y - 1 ( multiply through by - 1 )
[tex]\frac{dy}{dx}[/tex] + x[tex]\frac{dy}{dx}[/tex] = 1 - y
[tex]\frac{dy}{dx}[/tex] (1 + x) = 1 - y ← divide both sides by (1 + x)
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]
The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).
What is differentiation?Differentiation is a method of finding the derivative of a function.
It shows instantaneous rate of change in a function.
The given expression is,
x - y = xy
Differentiate with respect to x,
d/dx (x-y) = d/dx (xy)
Use multiplication formula for differentiation,
d/dx(ab)= a.db/dx+da/dx.b,
1 - dy/dx = x.dy/dx + y. 1
1 - dy/dx = x.dy/dx + y
1 - y =x.dy/dx + dy/dx
1 - y = (x+1).dy/dx
dy/dx = (1-y)/(x+1)
The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).
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find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation
Answer:
axis of symmetry: x=-1
Step-by-step explanation:
what is the area of the obtuse triangle given below
Answer:
The answer is A
Step-by-step explanation:
The formula used to find the area of a triangle is 1/2base *height
The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.
Area of obtuse triangle is 64 sq. units
What is obtuse triangle?"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."
Given
Base of triangle = 16
Height of triangle = 8
Formula to find the area of obtuse triangle
A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]
A = 8 × 8
A = 64
Hence, Area of obtuse triangle is 64 sq. units
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Please help!!
Find the x.
Answer:
10
Step-by-step explanation:
1. Write an equation to represent the ratio of the sides to the corresponding sides in the second figure.
6/9 = x/15
6 and x are both numerators because they are corresponding sides and 9 and 15 are both numerators because they are corresponding sides.
2. Solve for x.
multiply both sides by 9
6 = 9x/15
multiply both sides by 15
90 = 9x
solve for x by dividing both sides by 9
x = 10
*sorry if the explanation was confusing but I hope you understand with the equation and numbers
Find the area of the dining room in square feet. Round to the nearest square foot. 8’ x 10’ 8”
Answer:
85
Step-by-step explanation:
8 feet * 10 feet 8 inches.
96 inches * 128 inches = 12288 inches
12288 ÷ 144 = [tex]85\frac{1}{3}[/tex] ≈ 85
Step-by-step explanation:
This is the answer please choose as the best answer
PLEASE HELP!! 2b/10−b
Answer:-1/4b
Step-by-step explanation:
WILL MARK THE BRAINLEIST ASAPWhat is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line. 3 4 6 12
Answer:
4 is the correct answer
Step-by-step explanation:
Got it 100% correct on Edg
there are six _____ triangles in a regular hexagon.
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c=5/9(F-32). Write a compound Inequality to determine the Fahrenheit temperature range at which the antreze protects the car.
Answer:
I think it's B. 5/9(F -32) < 140
Step-by-step explanation:
In STU, SU =18 and TU =13. Find m
Answer:
m=22.2
Step-by-step explanation:
By using the Pythagorean’s theorem i.e
hypotenuse^2=opposite^2+adjacent^2
Where
Hypotenuse =unknown
Opposite =18
Adjacent =13
Hyp^2=18^2+13^2
Hyp^2=324+169
Hyp^2=493
Hyp=sqrt 493
Hyp=m=22.2
The mass of a jar is 750g when it is 1/2 filled with orange juice. The same jar has a mass of 625g when it is 1/4 filled with orange juice. A. What is the mass of the jar when it is 3/4 filled with orange juice? B. What is the mass of the jar when it is empty?
Answer:
1875 g
Step-by-step explanation:
1/4=625g
3/4=x
Then cross multiply
1/4x=625*3/4
1/4x=468.75
Then divide both sides by .25
which is 1,875 grams
Hope it helps a little
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.
Answer:
y = -7
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope of the equation is equal to 0.
The y-intercept is at (0, -7)
y = (0)x + -7
y = -7
The equation of the line is y = -7.
Find the slope of the line that passes through (-38, 100) and (-37, 5).
The slope between two points is: (change in Y) / (change in X) .
Slope = (-95) / (1)
Slope = -95
Step-by-step explanation:
[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]
[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]
[tex]m = \frac{19}{15} [/tex]
40% as ounces
Pls help
Answer:
that equals 5 cups
Step-by-step explanation:
40% in ounces is 5 cups
Step-by-step explanation:
If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.
I’m stuck on this math problem
Answer:
C.
Step-by-step explanation:
You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.
Alternatively you can graph each equation on a graphing calc and choose the best answer.
Scientist Asterix uses 19 base number system. Which
one is his largest symbol?
A. I
B. J
C. 9
D. P
Answer:
A. I
Step-by-step explanation:
first 10 symbols are digits from 0 to 9
then next 9 symbols are alphabets from A to I
so the largest symbol is I
19 base number system has 19 symbols:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I
The largest symbol is I
Answer:
A. Iin 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.
answer:
how many can are needed to move?
Step-by-step explanation:
help me solve this please
Answer:
C: Focus
Step-by-step explanation:
the red dot is the vertex and that's common sense so yeah its focus
Complete the table of ordered pairs for the given liners equation
Answer:
Step-by-step explanation:
Given equation of the line is,
y = -x + 1
We will get the output values (y-values) from the given equation for different input values (x-values).
For x = 0,
y = 0 + 1
y = 1
For x = -1,
y = -1 + 1
y = 0
For x = -6,
y = -6 + 1
y = -5
So the table of the ordered pairs will be,
x 0 -1 -6
y 1 0 -5
What is the equation of a line with a slope of -3 and a y-intercept of 4
Answer:
y = -3x + 4
Step-by-step explanation:
So the -3 is the slope and the slope always has an x and the y intercept is b which is 4
Answer:
y = -3x + 4
Step-by-step explanation:
slope-intercept form: y = mx + b
Note that: m = slope
y- intercept = b
m = slope = -3
y-intercept = b = 4
Plug in the corresponding number to the corresponding variables:
y = mx + b
y = -3x + 4 is your answer.
~
Simplify these expressions. a. 13xyz + 9 + 2xyz + 3 b. 6ab + (–2ab) + 4 + 6 c. 3 + 10x + (–2) + (–3x) d. 2x + 3 + x + 10
Answer:
a) 15xyz +12
b) 4ab +10
c) 7x +1
d) 3x + 13
Step-by-step explanation:
Put the like terms together. Make sure you put the things with higher variable coefficiants first.
Answer:
15[tex]xyz[/tex] + 4[tex]ab[/tex] + [tex]av[/tex] + 3[tex]b[/tex] + 6[tex]c[/tex] + d + 10[tex]x[/tex] + 27
Step-by-step explanation:
Add The Expressions.
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm
Answer:
The height of the triangle is 24 cm.
Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°, m∠C = 26° m∠A = 67°, m∠B = 90°, m∠C = 23° m∠A = 67°, m∠B = 94°, m∠C = 19° m∠A = 67°, m∠B = 92°, m∠C = 21°
Answer:
Step-by-step explanation:
Total interior angles in a triangle=180 degrees
That is: 3x + 10 + 5x - 1 + x =180
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
Therefore
Angle A =67 degrees
Angle B= 94 degrees
Angle C = 19 degrees
Which algebraic expression represents the phrase “ the quotient of negative right and the sum of a number and three”?
Answer:
-8 ÷ (x + 3)
Step-by-step explanation:
So quotient means that you're dividing, so put a ÷
Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷
Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.
This gives you: (x + 3)
When you put it all together, you get -8 ÷ (x + 3).
This can also be written as a fraction: -8/x+3.
please fine area of abc im dumb and just need a quick answer please help no explanation needed
Answer:
6
Step-by-step explanation:
Because triangles ADC and ACB are similar:
[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]
The area of ABC is therefore bh/2=3*4/2=6.
Hope this helps!
Jenny just went shoe shopping. Now she has 5 more pairs of shoes than her brother does. Together, they have 25 pairs of shoes.
Jenny has
pairs of shoes, and her brother has
pairs of shoes.
Answer:
jenny got 15 pair of shoes
her bro got 10 pairs of shoes
Step-by-step explanation:
Jenny: 15 shoes
Brother: 10 shoes
Lucas is selling ribbons to raise money—PLEASE HELP will mark brainliest
Answer:
184
Step-by-step explanation:
46 divided by .25
Answer:
200 Ribbons
Step-by-step explanation:
To break even Lucas needs to sell 200 ribbons --> this is because, =>
let's make an expression for this equation -->
x = amt. of ribbons
y = expense or revenue
x(0.25) = y + x(0.02)
Let's plug he given in --> 0.25x = 46 + 0.02x -->
now we can solve => x = 200
Hope this helps!
Paula is 3 years older than
Lindsey, who is 2 years
younger than Dave. If Paula is
17, how old is Dave?
Answer:
16
Step-by-step explanation:
If Paula is 17, then Lindsey is 17-3 (14). Since Lindsey is 14, Dave is 2+14 (16), so Dave is 16
Answer:
16 years old
Step-by-step explanation:
Let Lindsey's age be x.
Paula's age be x+3
Dave age be x+2
If Paula is 17.
x+3=17
x=14
x+2
(14)+2=16
Dave is 12 years old.
A frequency table for the 30 best lifetime baseball batting averages of all time is shown to the right. These data can be graphically displayed as a histogram. Which of the following graphs correctly displays the data from the table? A. Graph A B. Graph B C. Graph C D. Graph D E. Graph E
It’s B.
The numbers match the histogram.
The bar graph which displays the frequency table for the 30 best lifetime baseball batting averages of all time is given by graph B
What is a Bar graph?Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. Sometimes referred to as a column chart, a vertical bar graph.
Discrete, continuous, or categorical data are typically organized into class intervals in bar charts. They are made up of a set of marked horizontal or vertical bars and an axis.
Given data ,
Let the bar graph be represented as A
Now , the x axis of the bar graph is represented by the class
where Class = { 0.320 - 0.329 , 0.330 - 0.339 , 0.340 - 0.349 , 0.350 - 0.359 , 0.360 - 0.369 }
And , the y axis of the graph represents the frequency of the class
where Frequency = { 1 , 14 , 12 , 2 , 1 }
Now , the graph which represents the bar graph for the following situation is graph B
Hence , the bar graph is graph B and is attached below
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SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer: option 3
PLEASE MARK ME AS BRAINLIEST
Answer:
option c it has rotational symmetry with an angle of rotation 90degree
Step-by-step explanation:
it is a figure shown based on symmetry first 2 option saying a basic answer
and last one is wrong