Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.
If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67
The given function is:
[tex]g(x)=x^4-3x^3-x[/tex]
The derivative of the function g(x) is calculated below
[tex]g'(x)=4x^3-9x^2[/tex]
The question indicates that g'(x) = 12
This means that we are going to equate the derivative of g(x) gotten above to 12
[tex]4x^3-9x^2=12[/tex]
Solving the cubic equation above
The only real valid value of x is 2.67
Therefore, the value of x such that g′(x)=12 is x = 2.67
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(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
(a−2b)3 when a=−3 and b=−12
help plsss
(the three is an exponent)
Answer:
9261
Step-by-step explanation:
Substitute -3 for a and -12 for b in (a - 2b)^3:
(-3 - 2·-12)^3, or
(-3 + 24)^3, or
21^3 = 9261 (answer)
please help i don't know how to do this
Step-by-step explanation:
y = (x - 4)/x = x/x - 4/x = 1 - 4/x
c = 1
r = -4
done ...
please help!!!!!!!!!
Answer:
reserved tickets = 6 and general admissions tickets = 15
Step-by-step explanation:
[tex]25r + 10g = 150[/tex]
Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.
Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g
[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]
divide both sides by 10
[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]
Now set g equal to zero since he isn't buying any general tickets. Solve for r.
[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]
divide both sides by 25
[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]
Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
Divide. Write the answer in simplest form.
2/5 divided by 3
Answer:
Step-by-step explanation:
0.13 repeating
NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files
Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
Please help me with this question! It's a writing question.
Answer:
That he made a medicine that reduces coughing
Step-by-step explanation:
Solve for x.
5 = 2x − 3
(✿◡‿◡)
Answer: x=4
Step-by-step explanation:
PLEASE HELP! 20 POINTS
What is the x-intercept of the line with this equation -2x+1/2y=18?
Enter your answer in the box
( ,0)
Answer:
x - intercept = - 9
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
- 2x + [tex]\frac{1}{2}[/tex] (0) = 18
- 2x + 0 = 18
- 2x = 18 ( divide both sides by - 2 )
x = - 9 or (- 9, 0 ) in coordinate form
X+y=2 x-y=4 solve using elimination
(3, -1) Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.
How would I go from 22 to 11 in my table?
Divide by 2.
Multiply by 2.
Multiply by 22.
Divide by 22.
WILL MARK BRAINLY
Answer: divide 2
Step-by-step explanation:
$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?
amys share would be 45:30 so amys is 45 and marys 30
Help? Find the exact value.
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 750 points if you get this right
Answer:
"A plane does not extend infinitely"
Step-by-step explanation:
PLZ HELP DUE SOOOONNNN (solve for z).
Answer:
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Step-by-step explanation:
Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :
The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:
[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]
[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]
4x = 3yz²
Next, divide both sides by 3y:
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]
Lastly, take the square root of both sides to isolate the variable, z :
[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Therefore, the equation for z is: [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
can somebody please help me
Answer:
b
Step-by-step explanation:
Is the following acute obtuse or a right triangle
Answer: Obtuse
Would appreciate brainly <3
Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS
Answer:
38
Step-by-step explanation:
No. of yellow envelopes she has
= 6-2
= 4
No. of green envelopes she has
= 7×4
= 28
Total number of envelopes she has
= 6+4+28
= 38
help me with this problem thank youuup.
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
Step-by-step explanation:
Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:
We must determine whether the given relation or data can be modeled by a linear equation. It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.
X-coordinates:Subtracting the x-coordinates provides a constant difference of 2:
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.
Y-coordinates:We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.
SlopeSince the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3. Hence, the constant rate of change = -3.
As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.
Therefore, the data can be modeled by a linear equation because the rate of change is constant.
Linear Equation:In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
4 = (-3)1 + b
4 = -3 + b
Add 3 to both sides to isolate b:
4 + 3 = -3 + 3 + b
7 = b
Therefore, the linear equation that represents the given data is: y = -3x + 7.
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
1/3 of 12= 2/3 of
how do I do this I've forgotten please help
Answer:
6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.
Step-by-step explanation:
find the two numbers such that the sum of the two numbers is 24 and the product of the two nuumbers is 143
Answer:
119
Step-by-step explanation:
first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119
Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis 21 point!
Answer:
y=x+2
Step-by-step explanation:
since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2
find the equation with a diameter that has endpoints located at (2,8) and (2,-4)
Answer:
32.4/-4.6 nearest circumfrence :)
Step-by-step explanation:
hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
Find the total surface area of these solids
Answer:
#a
This is a cube. Let us find the surface area of the cube now
Surface are of a cube = 6 a²
= 6 × 1.2 × 1.2
= 6 × 1.44
= 8.64 cm²
# b
This is a right trianglular prism.
First you have to find the area of the 2 triangles
Before that,
we have to find the height of the triangle using pythagoras theorem.
Let us solve,
[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]
Now let us find the area of 2 triangles.
[tex]Area =2*\frac{1}{2} *4*3\\[/tex]
[tex]Area =12mm^{2}[/tex]
Now lets find the total area of 3 rectangles.
( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )
28 mm² + 35 mm² +21 mm²
= 84 mm²
And now lets find the total surface area of this solid.
12 mm² + 84 mm²
= 96 mm²
Hope this helps you.
Let me know if you have any other questions :-)
Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46
Answer:
d
Step-by-step explanation: