Answers
Answer:
third option
Step-by-step explanation:
Differentiate using the product rule
Given f(x). g(x) then the derivative is
f(x). g'(x) + g(x). f'(x) ← product rule
Given
[tex]\frac{d}{dx}[/tex](x² secx )
with f(x) = x² and g(x) = secx , then
f'(x) = 2x and g'(x) = secxtanx, thus
[tex]\frac{d}{dx}[/tex](x² secx)
= x². secxtanx + secx. 2x ← factor out xsecx from each term
= xsecx(xtanx + 2) → third option
Related Questions
Select the correct answer.
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. If 1 is the extraneous solution, which equation could he have solved?
Answers
Answer:
Answer A
Step-by-step explanation:
In the equation [tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex], 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Given :
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. 1 is the extraneous solution.Option A)
Given :
[tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex]
The above expression is not defined for x equal to 1 so, 1 is an extraneous solution.
Simplify the above equation by doing the cross multiplication.
[tex]10(3x-3)=15(x^2-1)[/tex]
[tex]30(x-1)=15(x-1)(x+1)[/tex]
2 = x + 1
x = 1
In the given equation 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Therefore, the correct option is A) and therefore, no need to check the other options.
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The length of a rectangle is 9cm more than four times the width. If the perimeter of the rectangle is 78 cm, what are its dimensions
Answers
Answer:
Length is 32. 6 cm and width is 5.9 cm
Step-by-step explanation:
width(w)=w
perimeter(p)=78 cm
length(L) = 4w+9
p=2L+2w
78=2(4w+9)+2w
78=8w + 19 + 2w
10w=59
w=5.9 cm
L=4w+9
L=4(5.9)+9
L=32.6 cm
Therefore length is 32.6 cm and width is 5.9 cm
Given the quadratic equation ax2 + 10x + 2 = 0, determine all values of a that will result in this equation having non-real solutions. Show all work that leads to your answer.
Answers
Answer:
a>12.5.
Step-by-step explanation:
you need to look at the discriminant in the quadratic formula:
[tex]b^{2} -4ac[/tex]
coming from the quadratic polynomial
[tex]ax^{2} +bx+c=0[/tex]
In our case, b=10 and c=2, hence, the discriminant is
[tex]10^2-4*a*2 \\100-8a[/tex]
We will obtain non-real values if the discriminant is less than zero.
Therefore, this condition is written as
[tex]100-8a<0[/tex]
and we must solve for a. It yields
[tex]100<8a\\a>\frac{100}{8} \\a>12.5[/tex]
Hence, the answer is a>12.5.
The values of a that will result in this equation having non-real solutions must e greater than 12.5
Given the quadratic equation ax^2 + 10x + 2 = 0
For the equation to have non-real solutions, then b^2 - 4ac < 0
From the given equation;
a = a
b = 10
c = 2
Substitute the given parameters into the formula;
10^2 - 4a(2) < 0
100 - 8a < 0
-8a < -100
8a > 100
a > 12.5
Hence the values of a that will result in this equation having non-real solutions must e greater than 12.5
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Estimate 183 to the nearest integer.
Answers
Answer:
Step-by-step explanation:
1,83 x 10^2
-2.49 = -5 + x
please solve for x ;)
Answers
Answer:
x=2.51
Step-by-step explanation:
-2.49=-5+x
-5+x=-2.49
-5+x+5=-2.49+5
x=2.51
What is the median?
59
65
56
60
55
54
62
66
68
Answers
Answer:
The answer is 60
Step-by-step explanation
54
55
56
59
60 The middle number
62
65
66
68
Answer:
60
Step-by-step explanation:
"Median in the middle"
put the set of numbers in order from least to greatest. If you end up having an even amount of numbers in the set, you add the two numbers in the middle then divide by 2 to find the median.
54, 55, 56, 59, 60, 62, 65, 66, 68
55, 56, 59, 60, 62, 65, 66
56, 59, 60, 62, 65
59, 60, 62
60
what is 1/4x+1+3/4x-2/3-1/2x
Answers
Answer: 1/2x + 1/3
Step-by-step explanation:
Given:
1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3
Step 1: Combine like terms
1/4(x) and 3/4(x) have a common denominator of 4. This means that you can add them together.
1/4(x) + 3/4(x) = 4/4(x) = x
Step 2: Find the common denominator of x in step 1 and combine like terms
x - 1/2(x) = 2/2(x) - 1/2(x)
Now that we have the common denominator of x, we can combine like terms. Its the same as adding or subtracting fractions without a variable. In this case, you must subtract 1/2(x) from 2/2(x).
2/2(x) - 1/2(x) = 1/2(x)
Step 3: Find the common denominator of the constants and combine like terms
1 - 2/3 = 3/3 - 2/3
Now combine like terms. Simply subtract 2/3 from 3/3.
3/3 - 2/3 = 1/3
Step 4: Write the simplified equation
1/2(x) + 1/3
This is the answer
The measurement of the “ridge” of your new house on blueprints is 24 inches. If the scale is 1/4 = 1ft how long is the wall in real life
Answers
Answer:
In real the wall will be: 96 ft
Step-by-step explanation:
Given that the scale is
1/4 = 1ftIt means 1 inch will represent 4 ft.
so
1 inch = 4ft
Given that the measurement of the “ridge” of your new house on blueprints is 24 inches.
Thus,
24 inches = 24 × 4ft ∵ 1 inch = 4ft
= 96 ft
Therefore, in real the wall will be: 96 ft
A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?
Answers
Answer:
y=17x-55
Step-by-step explanation:
y-(-4)=17(x-3)
y+4=17x-51
y=17x-55
without using mathematical tables or calculators, evaluate (0.09×1.21)÷(3.3×0.00025)
Answers
Answer:
132
Step-by-step explanation:
you have to reduce the expression by solving 0.09 divided by 1.21 bc of the PEMDAS rule you do 1st parentheses first which is 0.1089 then do the second set of () which is 0.000825 then divide the 2 answers for 132
find the sum:
13,16,19,...301
thanks!
Answers
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
349
is -7+9y+7=2x a direct variation and if so what is the constant?
Answers
Answer:
yes constant; 65
Step-by-step explanation:
Adam says that to find the total cost of the rice, you should multiply 3.5 by $1.89. Do you agree? Explain your reasoning.
Answers
Answer:
$6.615
Step-by-step explanation:
Okay, does the value 3.5 represent the quantity of rice bought?
Let us assume this answer is yes, then we can go ahead and estimate the cost of the rice as
Total Cost =1.89*3.5
Total Cost =$6.615
What are the answers to these aswell mb?
Answers
Answer:
4 is D = 23
Step-by-step explanation:
the coefficient is the number before the letter
What is the height of the flagpole in the diagram below
Answers
Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
Answers
Answer:
(4,-2.5)
Step-by-step explanation:
because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point
Answer:
-3,-4.5
Step-by-step explanation:
#10 PLEASE HELPPP, DUE SOON :(
Answers
Answer and Step-by-step explanation:
Question #10.
We are told to fill in the blank that corresponds to a property of congruence for like KM and line KM.
A property that states that something is equal to itself if the Reflexive Property of Congruence.
The Reflexive Property of Congruence is the answer. This is because it comes from a latin word called reflexus (also known as reflect), which is when something is the same of itself. In this case, the line KM is reflexive, or congruent to itself because when reflected, it reflects onto itself.
#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)
Give the coordinates of one point that is 5 units from point C in the x-direction?
Answers
WILL MARK BRAINLIEST
Find three consecutive even integers such that the sum of the second and third is 3 times the first integer.
Answers
Answer:
3, 4, and 5
Step-by-step explanation:
Given: We're looking for x, x+1, and x+2
Requirements: (x+1)+(x+2)=3(x)
Solve equation:
x+1+x+2=3x
2x+3=3x
3=x
This means the three consecutive integers are 3, 3+1, and 3+2 which is the same as 3, 4, and 5
The density of a substance is 3.4 g cm-3. Its relative density relative to another substance is 2.0. what is the density of the second substance?
Answers
Answer: The density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]
Step-by-step explanation:
[tex]\text{Relative density }=\dfrac{\text{Density of substance}}{\text{Density of reference}}[/tex]
Given: Density of a substance is [tex]3.4 \text{ g cm}^{-3}[/tex] .
Its relative density relation to another substance = 2.0
Substitute all values in the formula , we get
[tex]2=\dfrac{3.4}{\text{Density of reference}}\\\\\Rightarrow\ {\text{Density of reference}=\dfrac{3.4}{2}\\\\\Rightarrow\ {\text{Density of reference}=1.7 \text{ g cm}^{-3}[/tex]
Hence, the density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]
what is the standard form of the equation? y=(x+2)^2-3
Answers
2-3 is -1 and when it’s in parentheses it makes it negative
Answer:
Find the asymptotes.
Vertical Asymptotes:
x
=
−
2
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
this is a rational equation i don't understand lol
-2 1/4 = 2w
Answers
Answer:
[tex]w=-9/8[/tex]
Step-by-step explanation:
We are given the equation [tex]-2 \frac{1}{4} = 2w[/tex]. To solve this equation, we can divide both sides by 2 to get that [tex]w = -2\frac{1}{4} \div 2 = -\frac{9}{8}[/tex].
Answer:
w = - [tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Given
- 2 [tex]\frac{1}{4}[/tex] = 2w ( change the mixed number to an improper fraction )
- [tex]\frac{9}{4}[/tex] = 2w ( multiply both sides by 4 to clear the fraction )
- 9 = 8w ( divide both sides by 8 )
- [tex]\frac{9}{8}[/tex] = w
question is in picture pls ASAP its due by 8 its 6 will give you brainliest :)))))))
Answers
Answer: 100 rides are needed to break even.
Step-by-step explanation:
C(x)=15x+2000 - x is the number of rides.
R(x)=35 x , where x is the number of rides
35x=15x+2000
35-15x=2000~subtract 15x from both sides~
20x=2000 ~simplify~
x=2000/20 ~dividing both sides by 20~
x=100
Becky is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given.
A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.
Drag and drop the correct answer into each box to complete the proof.
The coordinates of point C are (Response area, c).
The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b2, c2) .
The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).
AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..
By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.
Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Give actual answer will give brainliest
Answers
Answer:
Read Under
Step-by-step explanation:
Just did the quiz. First one is "a + b"
Second spot put "a+b/2"
Third put "c/2"
Finally put "CE" and then "BE"
A parallelogram is a quadrilateral , In which opposite sided are equal and parallel to each other.
The coordinate of point C are (a + b , c)
The coordinates of the midpoint of diagonal BD are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
AC and BD intersect at point E with coordinates [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Properties of Parallelogram shown below,
Opposites sides of a parallelogram are equal and parallel to each other. Opposite angles are equal.Diagonals of a parallelogram bisect each other. Each diagonal divides the parallelogram into two congruent triangles.Since, Diagonals of a parallelogram bisect each other. Therefore, point E is the mid point of both diagonal AC and BD.
Let us consider , coordinate of point C are (x, y)
By using mid point formula,
Coordinate of point E = [tex](\frac{x}{2},\frac{y}{2} )[/tex]
[tex](\frac{a+b}{2},\frac{c}{2} )=(\frac{x}{2},\frac{y}{2} )[/tex]
So, [tex]C(x,y)=(a+b,c)[/tex]
E is the point at which both diagonal bisect to each other. Therefore, E is the mid point of both diagonal AC and BD.
So, coordinate of point E are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
Thus, By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
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Find each Of change. Round to the nearest whole percent if necessary. State whether the percent Of change is an increase or 1. Original; 5. Original: Cm • Chqter 2. Original: new: 1.3 6. Original; 160 new: 136 g. Original; 15 new : 12 7. Original: 7, 7 new: 10 , 5 4. Original: $30 new: $18 8. Original: 9.6 new: 5.9 31
Answers
Answer:
1. The percentage change is 74% and it is a percentage decrease
2. The percentage change is 15% and it is a percentage decrease
3. The percentage change is 20% and it is a percentage decrease
4. The percentage change is 43% and it is a percentage increase
5. The percentage change is 40% and it is a percentage decrease
6. The percentage change is 39% and it is a percentage decrease
Step-by-step explanation:
Given
[tex]1.\ Original = 5; New = 1.3[/tex]
[tex]2.\ Original = 160; New = 136[/tex]
[tex]3.\ Original = 15; New = 12[/tex]
[tex]4.\ Original = 7; New = 10[/tex]
[tex]5.\ Original = $30; New = $18[/tex]
[tex]6.\ Original = 9.6; New = 5.9[/tex]
Required
Determine the percentage change and state whether it's an increase or decrease
Percentage change is calculated as:
[tex]\%Change = \frac{New - Original}{Original} * 100\%[/tex]
[tex]1.\ Original = 5; New = 1.3[/tex]
[tex]\%Change = \frac{1.3 - 5}{1.3} * 100\%[/tex]
[tex]\%Change = \frac{-3.7}5} * 100\%[/tex]
[tex]\%Change = \frac{-3.7 * 100\%}{5}[/tex]
[tex]\%Change = \frac{-370\%}{5}[/tex]
[tex]\%Change = -74\%[/tex]
The percentage change is 74% and it is a percentage decrease
[tex]2.\ Original = 160; New = 136[/tex]
[tex]\%Change = \frac{136 - 160}{160} * 100\%[/tex]
[tex]\%Change = \frac{-24}{160} * 100\%[/tex]
[tex]\%Change = \frac{-24 * 100\%}{160}[/tex]
[tex]\%Change = \frac{-2400\%}{160}[/tex]
[tex]\%Change = -15\%[/tex]
The percentage change is 15% and it is a percentage decrease
[tex]3.\ Original = 15; New = 12[/tex]
[tex]\%Change = \frac{12- 15}{15} * 100\%[/tex]
[tex]\%Change = \frac{-3}{15} * 100\%[/tex]
[tex]\%Change = \frac{-3* 100\%}{15}[/tex]
[tex]\%Change = \frac{-300\%}{15}[/tex]
[tex]\%Change = -20\%[/tex]
The percentage change is 20% and it is a percentage decrease
[tex]4.\ Original = 7; New = 10[/tex]
[tex]\%Change = \frac{10- 7}{7} * 100\%[/tex]
[tex]\%Change = \frac{3}{7} * 100\%[/tex]
[tex]\%Change = \frac{3* 100\%}{7}[/tex]
[tex]\%Change = \frac{300\%}{7}[/tex]
[tex]\%Change = 43\%[/tex] -- (approximated)
The percentage change is 43% and it is a percentage increase
[tex]5.\ Original = $30; New = $18[/tex]
[tex]\%Change = \frac{18- 30}{30} * 100\%[/tex]
[tex]\%Change = \frac{-12}{30} * 100\%[/tex]
[tex]\%Change = \frac{-12* 100\%}{30}[/tex]
[tex]\%Change = \frac{-1200\%}{30}[/tex]
[tex]\%Change = -40\%}[/tex]
The percentage change is 40% and it is a percentage decrease
[tex]6.\ Original = 9.6; New = 5.9[/tex]
[tex]\%Change = \frac{5.9- 9.6}{9.6} * 100\%[/tex]
[tex]\%Change = \frac{-3.7}{9.6} * 100\%[/tex]
[tex]\%Change = \frac{-3.7* 100\%}{9.6}[/tex]
[tex]\%Change = \frac{-370\%}{9.6}[/tex]
[tex]\%Change = -39\%[/tex] -- (approximated)
The percentage change is 39% and it is a percentage decrease
Christian burns 4 1/2 calories in 2/3 if a minutes riding his bike. HOW MANY CALORIES WILL CHRISTAN BURN IN 1 MINUTE OF BIKE RIDING? SELECT THE CORRECT ANSWER.
Answers
Answer:
The answer is 6.75 calories or [tex]6 \frac{3}{4}[/tex]
Step-by-step explanation:
First, we need to find out how many calories per 1/3 minute.
4 1/2 divided by 2 = 2 1/4 or 2.25
2 1/4 or 2.25 x 3 = [tex]6 \frac{3}{4}[/tex] or 6.75 calories
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How do i solve 4x+3=35?
(I really appreciate everyones help )
Answers
Answer:
x=8
Step-by-step explanation:
1. Subtract the 3 from both side so the new equation states 4x=32
2. Divide both sides by 4 for the final answer of x=8
Answer:
That is the answer.Step-by-step explanation:
l hope it helps ❤❤❤What else is produced during the replacement reaction of magnesium and hydrochloric acid? Mg + 2HCl H2 + ________ MgCl2 Mg2Cl2 Mg2Cl MgCl
Answers
Step-by-step explanation:
Magnesium chloride (MgCl2).
Answer:a
A
Step-by-step explanation:
Edge 2021
-78 = -5a = 7
solve for a lol
Answers
87 i think Step-by-step explanation:
Solve -x > 8 or -x < 4.
{x | -12 < x < -6}
{x | x < -12 or x > -6}
{x | x > -12 or x < -6}
Answers
Answer:
-4 < x < -8
Step-by-step explanation:
Given solve -x > 8 or -x < 4.
Solve each inequality first
-x > 8
Divide both sides by -1
-x/-1 > 8/-1
x < -8
Also if -x < 4
Divide both sides by -1
-x/-1 < 4/-1
x > -4
Combine both inequality x < -8 and x > -4
-4 < x < -8
Hence the solution set is -4 < x < -8