The slope of the line that is perpendicular to the tangent line at x=1 is, [tex]\frac{1}{4}[/tex]
Option E is correct.
Slope of line:The derivative of given function with respect to x is known as slope of function.
Given function is, [tex]g(x)=-3x^{3}+5x-3[/tex]
Now differentiate the above function.
[tex]\frac{dg(x)}{dt}=-9x^{2} +5[/tex]
[tex]\frac{dg(x)}{dx}[/tex] at [tex]x=1[/tex] is,
[tex]\frac{dg}{dt} =-9(1)^{2}+5 =-4[/tex]
the slope of the line that is perpendicular to the tangent line at x=1 is,
Slope[tex]=-\frac{1}{dg/dx}=\frac{1}{4}[/tex]
Learn more about the slope of line here:
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Please help with both and leave a small explanation! I wanna double check my answers!
Answer:
3. 4 cm apart
4. 12 feet
Step-by-step explanation:
3. since the scale is every 1cm is 14 miles than to find 56 miles on a map you should divide 56/14 which would equal 4cm.
4. since the scale is every 1 inch is 6 feet and you have to find how long a motorcycle is if it was 2 in on a diagram, then you should multiple 6 by 2 which would equal 12 feet
hope this helps
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me plzzzzzzzzz this due right now
The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.Here the perimeter and the length of the rectangular pool are given. We have to find the width of the pool.
Write and solve an equation to determine its width?
ALSO THERE NO M JUST 16 NO 16M
Answer:
Width = 12 m
Step-by-step explanation:
Width = w
Perimeter = 56 m
2*length + 2*width = 56
2* 16 + 2w = 56
32 + 2w = 56
2w = 56 - 32
2w = 24
w = 24/2
w = 12 m
Width = 12 m
Write an equation in slope-intercept form of the line shown.
Answer:
y = 3/4x - 2
Step-by-step explanation:
slope intercept form: y = mx + b
y-intercept(when x= 0) is given by b
slope is given by m
lets find the slope using the two given points, (4,1) and (8,4)
m = y2-y1 / x2-x1
m = 4 - 1 / 8 - 4
m = 3/4
Now use any of the given points to begin writing your equation, which will help you find the y intercept - ill use (4,1).
1 = 3/4(4) - b
1 = 3 - b
b = -2
now you have m and b so you can finish writing your equation.
y = mx + b
y = 3/4x - 2
What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27
Step-by-step explanation:
to get the original slope, we need to bring the line equation to
y = ...
and the slope is the factor of x.
x + 3y = 27
3y = -x + 27
y = -1/3 x + 9
so, the original slope is -1/3.
the perpendicular slope turns this upside-down and flips the sign : 3/1 = 3.
as the slope is the ratio "y coordinate change / x coordinate change".
we can use the point-slope form for the new line equation :
y - y1 = m(x - x1)
with m being the slope, and (x1, y1) being a point on the line.
so,
y - 6 = 3(x - 1)
simplified that is
y - 6 = 3x - 3
y = 3x + 3
that is then the slope-intercept form (+3 being the interception point on the y-axis).
Answer:
y = 3x + 3
Step-by-step explanation:
The answer is simple and plain.
Find the area of a parallelogram with a base of 5 cm and a height of 15 cm.
Answer:
75cm²
Step-by-step explanation:
area of parallelogram= base*height
area=15*5=75cm²
PLEASE HELP
John writes the proof below to show that the sum of the angles in a triangle is equal to 180°.
Given: Wintersects ABC
vertex Cand is parallel
to AB
Prove: m21 +22+ m23 - 180
Reasons
Prool:
Statements
1. XVI AB
2.24 m2 - 25 - 180°
3.24 21:25 23
4. M24 = 21:25 - 23
5. m2 +22+ m23 - 180°
1.
2
3
4
5
Which of these reasons would John NOT need to use in his proof?
The sum of the angles on one side of a straight line is 180º.
If a statement about a is true and a rbthe statement formed by replacing a with b is also true.
When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
Answer:A
Step-by-step explanation:
I got it correct on the test
Help me out fast and quick please
Answer:
3
Step-by-step explanation:
A polynomial is shown below.
4x3−7x2−13
What is the remainder when the polynomial is divided by x−2 ?
A
−9
B
−2
C
2
D
9
Answer:
The remainder is -9
So, Option A is correct.
Step-by-step explanation:
We need to divide the polynomial [tex]4x^3-7x^2-13[/tex] by [tex]x-2[/tex] and determine the remainder.
The division is shown in the figure attached.
The remainder is -9
So, Option A is correct.
Answer:
A, -9
Step-by-step explanation:
ANSWER QUICKLY PLEASE!!!! Simplify square root of ten times square root of eight. square root of eighteen four square root of five square root of eighty-eight square root of ten
Answer:
Four square root of five
Step-by-step explanation:
the square root of ten:
[tex]\sqrt{10}[/tex]
The square root of eight:
[tex]\sqrt{8}[/tex]
The square root of ten times square root of eight:
You would have to multiply 10 square root by 8 square root
so, 10 square root times 8 square root is 80 square root
[tex]\sqrt{80}=\sqrt{16} = \sqrt{16}\sqrt{5} =4 \sqrt{5}[/tex]
The answer is Four square root of 5
Hope this helped! :)
May i have brainliest!
Answer:
4 square root of 5
Step-by-step explanation:
what is negative 2 over 3 times negative 3 over 4?
-2/3 x -3/4=?
Answer:
0.5
Step-by-step explanation:
-14
Step-by-step explanation:
this is very eeasy question ookay step 1 cross multiply -2/3 *-3/4 okay and answer is -6 and -8 = -14 ookay sovled
Write Absolute value equation that has the given solutions 4 and 11
We want to find an absolute value equation such that its solutions are 4 and 11.
We will get: |x - 7.5| = 3.5
Let's see how we can get that.
We should start by the general absolute value equation:
|x - a| = b
This can be decomposed into two equations:
x - a = b
x - a = -b
Both of these must be true, one for each of the given solutions of the equation, now we need to replace these solutions. Let's use the largest solution in the equation where b is positive.
11 -a = b
4 - a = -b
Now we have a system of equations, to solve it we can see that we have the same variable isolated in the two equations, then we can rewrite:
11 - a = b
-(4 - a) = b
then:
11 - a = b = -(4 - a)
11 - a = -4 + a
11 + 4 = a + a
15 = 2*a
15/2 = a = 7.5
Then we can use:
11 - a = b
11 - 7.5 = b = 3.5
Now we know the values of a and b, we just need to replace them in the general equation to get:
|x - 7.5| = 3.5
This is the absolute value equation we were searching.
If you want to learn more, you can read:
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During a food drive, a local middle school collected 8,502 canned food items. Each of the 31 classrooms
that participated in the drive donated about the same number of items. Estimate the number of items
each classroom donated.
Each class donated about
cans.
Answer:
it would be around 274
Step-by-step explanation:
if you divide 8,502 by 31 you will get 274.258064516129, so the estimate would be 274.
each classroom donated about 274 canned food items.
2. Twenty-four fourth graders are going on a field trip to the Academy of Science. They need to form 3 groups of students for the tour guides. How many students will be in each group? Show how you found your answer.
What is the percent increase from 49.5 to 99
Answer:
Step-by-step explanation:
100%
If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?
Answer:
[tex]A = 6[/tex].
Step-by-step explanation:
Let [tex]a[/tex] denote a constant (a number, rather than a variable like [tex]x[/tex].)
Let [tex]f(x)[/tex] denote an expression about [tex]x[/tex] (for example,
By the factor theorem, if [tex](x - a)[/tex] is a factor of [tex]f(x)[/tex], then [tex]f(a) = 0[/tex]. In other words, if all mentions of [tex]x[/tex] in the expression [tex]f(x)\![/tex] are replaced with [tex]a[/tex], then the expression should evaluate to zero.
[tex](x + 3)[/tex] is equivalent to [tex](x - (-3))[/tex]. That is: [tex]a = -3[/tex].
Replace all mentions of [tex]x[/tex] in [tex]x^3 - x^2 - 10\, x + A[/tex] by [tex](-3)[/tex] to get:
[tex](-3)^3 - (-3)^2 - 10\times (-3) + A[/tex].
That should evaluate to zero. Therefore: [tex]-27 - 9 + 30 + A = 0[/tex]. Solve for [tex]A[/tex] to get [tex]A = 6[/tex].
Solve x^2 = -81 using the square root property
Answer:
Step-by-step explanation:
x=9i. imaginary numbers, you have a negative under the radical, you take a 9 and a i out
see the image below please help as fast as possible
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
In the middle school coding club, 30% of the members are in 6th grade. If there are 12 sixth graders in the club, how many total members are there?
Answer:
40 members
Step-by-step explanation:
Let the total members = x
Given the following data;
Number of sixth graders = 12 members
The mathematical expression is;
[tex] \frac {30}{100} * x = 12[/tex]
[tex] 0.3x = 12[/tex]
[tex] x = \frac {12}{0.3} [/tex]
x = 40
Therefore, the total members in the middle school coding club is 40 members.
What’s 9 + 10?
Solve for X:-1
Plz help
Answer:
Lo siento, solo necesitaba los puntos
Step-by-step explanation:
Lo siento, solo necesitaba los puntos
Lo siento, solo necesitaba los puntos
Lo siento, solo necesitaba los puntosvv
Lo siento, solo necesitaba los puntos
Lo siento, solo necesitaba los puntosvvv
Answer:
2nd option
Step-by-step explanation:
-1 < x + 3 < 5
Subtract 3 from both sides;
-4 < x < 2
How can you find sums and differences of rational expressions? Explain
Answer: A rational expression is a ratio of two polynomials.
Step-by-step explanation: To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same. In other words, we must find a common denominator.
whats 1+1 ill give you the brainliest PLS HELP
Answer:
2
Step-by-step explanation:
i believe it's 2 my dude
Answer:
2
Step-by-step explanation:
If you have one apple, and add another, you now have two. You can count 1,2,3 or use fingers
EASY YES OR NO QUESTIONS 100 POINTS!!! please help me is a test
Answer:
no
Step-by-step explanation:
Answer:
1 and 4- Yes
2, 3, 5, 6 - No
Step-by-step explanation:
1.
Yes. Each input has corresponding output
2.
No. Repeat inputs with different outputs
3.
No. Doesn't pass vertical line test. One input with different outputs.
4.
Yes. Unique inputs and outputs.
5.
No. One input with two outputs
6.
No. One input with two outputs.
What is the measure of
I believe it is 56 degrees. that's the answer I put in and I got it right
EMERGENCY!!! What is the equation of the line?
HELP
Y=3/2x
Y=-3/2x+1
Y=-3/2x
Y=-2/3x
What is an equation of the line that passes through the points (-6, -4) and (3,8)?
Brainlesss!!!!!! Helppppp
Nick is taking his written drivers test. As he answers each question, the progress bar at the bottom of the screen shows how many questions he has completed. He just completed question 16, and the progress bar shows he is 20% complete. How many total questions are there
Answer: 80
Step-by-step explanation: If he is 20% complete, then 20 x 5 is 100. So if we want to get 100%, then we have the multiply. Now he did 16 questions, so we have to multiply 16 five times. 16 x 5
Hoped this helped!
hello my son has a problem with this problem and i really have no idea what the answer is here is the problem: Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.499 and increases $0.09, what is the price of gasoline after the increase? please please please help!! thanks!!
Answer: $3.58
Step-by-step explanation:
Since the cost is increasing, you need to add the two values together.
$3.49 + $0.09 = $3.58
The price of gasoline after the increase is $3.58.
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Answer:
....................
Step-by-step explanation: