Answer:
The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"
Step-by-step explanation:
Given:
[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]
Solve:
[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]
differentiate the above equation:
[tex]\to g'(x) = 4x^3- 1[/tex]
Given that:
[tex]\to g'(x)= \frac{1}{2}[/tex]
[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]
If AABC = ADEC,
LC = 55°, ZD = 65°, and ZB = 2x
D
С
В B.
x = [?]
Answer:
x = 30
Step-by-step explanation:
65 + 55 = 120
angle B must equal 60
angle B is labeled as 2x
set up equation to solve for 'x': 2x = 60
x = 30
add up all angles to make sure you get 180 degrees
x ÷ 7 + 1 = 5 find the value of x
Answer:
28
Step-by-step explanation:
x/7+1=5
-1 -1
x/7=4
x/7*7=4*7 ( do the inverse operation to get rid of 7, which is multiplication)
x=28
Answer:
x=28
Step-by-step explanation:
x÷7+1=5
Firstly,
Group like terms
x÷7=5-1
x÷7=4
Secondly,
So now 7 will cross the equal sign
x=4×7
We have ×7 because when a number number with a division sign crosses an equal sign it becomes multiplication.
x=28
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
9a + 6b and 5c - 3d
Step-by-step explanation:
(a)
4a + 7b + 5a - b ← collect like terms
= (4a + 5a) + (7b - b)
= 9a + 6b
(b)
6c + 4d - c - 7d ← collect like terms
= (6c - c) + (4d - 7d)
= 5c - 3d
Answer:
a) [tex]3(3a + 2b)[/tex]
b) [tex]5c - 3d[/tex]
Step-by-step explanation:
a) [tex]4a + 7b + 5a - b[/tex]
Lets arrange all like terms.
[tex] = > 4a + 5a + 7b - b[/tex]
[tex] = > 9a + 6b[/tex]
Taking 3 common from the terms,
[tex] = > 3(3a + 2b)[/tex]
b) [tex]6c + 4d - c - 7d[/tex]
Lets arrange all like terms.
[tex] = > 6c - c + 4d - 7d[/tex]
[tex] = > 5c - 3d[/tex]
Which function is graphed at the right ?
Answer:
2. G)-11
3. C
4) F. y=1/2x+2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Remark
The easiest way to do this is to take the two intercepts (x and y)
x intercept: (-4,0)
y intercept: (0,2 )
Givens
y2 = 2
y1 = 0
x2 = 0
x1 = - 4
Equation
m = (y2 - y1)/(x2 - x1)
Solution
m = (2 - 0)/(0 - - 4)
m = 2/4 = 1/2
Find b
y = mx + b
y = 2
x = 0
2 = 1/2x + b
2 = 1/2*0 + b
b = 2
Answer
y = 1/2 x + 2
What is this equation called and how do I do it?
Answer:
DE ≈ 40
Step-by-step explanation:
Using the Sine rule in Δ DEF
∠ D = 180° - (58 + 87)° ← sum of angles in a triangle
∠ D = 180° - 145° = 35° , then
[tex]\frac{DE}{sin87}[/tex] = [tex]\frac{EF}{sin35}[/tex] = [tex]\frac{23}{sin35}[/tex] ( cross- multiply )
DE × sin35° = 23 × sin87° ( divide both sides by sin35° )
DE = [tex]\frac{23sin87}{sin35}[/tex] ≈ 40 units ( to the nearest whole number )
i need help y'all. my homestuck brain be goin' BRR and math is difficult rn
Answer:
Step-by-step explanation:
Split check( order Deserts)Answer: 50
Split check( No Deserts)Answer:18
68-50=18
One person pays ( Order Desert)Answer:16
54-38=16
One person pays(No Deserts)Answer: 38
56-18=38
One Person Pays (Total)Answer:54
112-68=54
Order Deserts (Total) ANswer 66
50+16=66
Answer correctly thanks a lot.
Answer:
-6
Step-by-step explanation:
evaluate daw ito
9x2+25, for x = 1/3
Answer:
25
Step-by-step explanation:
9×(1/3)²+25=9×1/9+25=25
What is the first step in solving this problem 4/5 + 1/2
The first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators
From the question,
The given expression is 4/5 + 1/2
This can be written properly as
[tex]\frac{4}{5}+\frac{1}{2}[/tex]
In solving the problem, the first step is to make the fractions have a common denominator. This can be achieved by finding the LCM (Lowest common multiple) of their denominators (that is, 5 and 2)
The LCM of 5 and 2 is 10
If we were to solve the equation, we will get
[tex]\frac{4}{5}+\frac{1}{2}[/tex] = [tex]\frac{2(4) + 5(1)}{10}[/tex]
Hence, the first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators.
Learn more here: https://brainly.com/question/15725790
Please, need this ASAP!!!
Complete the equation of the line through (1,4) and (2,2)
Use exact numbers.
Solve each of the following equations
Answer:
a. x = 10
b. x = 3/5
c. x = 16
d. x = 21/32
Step-by-step explanation:
For all of these problems, it would be simpler to get rid of the fractions entirely and to do that you need to multiply each part of the equation by the least common denominator (LCD; the first a number or variable that both of the denominators can be divided evenly by((you get it by multiplying the denominators by that number/variable (8*1, 8*2,8*3, etc.) and stop until both denominators are the same)) of what you're adding in this case.Note that if the denominators that you're adding are the same then you just multiply everything by that.Also note that the LCD's do not replace the denominators pf the original equation! Simply multiply the numerators by the LCD and then solve the problem accordingly!a - 2x/3 + (x+3)/3 = 11
For this case, the least common denomimator is 3. Multiply everything by 3. This leaves 2x + x+3 = 33. Combine like terms. 3x+3 =33 Subtract 3 from 33, leaving 30 and finally divide 30 by 3x to get 10, your answer.b - 3/x + 6/x = 15
Multiply everything by x. This leaves 3 + 6 = 15x. Combine Like Terms so 9 = 15x. Divide 9 by 15, leaving x to be 9/15, or 3/5 when simplified (both 9 and 15 can be divided by 3).c - x/2 + x/8 = 10
In this case, the LCD is 16. So multiply everything by 16, leaving 16x/2 + 16x/8 = 160. Simplify, leaving 8x + 2x = 160. Combine like terms, so 10x = 160. Divide 160 by 10, leaving you with 16.d - 4/x + 5/4x = 8
The LCD isn't always going to be a number as seen here and in b, but they were the same as if it were a number. Here the LCD is 4x so multiply everything by 4x. This leaves you with 16x/x +20x/4x = 32x. Simplify accordingly, leaving you with 16 (x variables cancel) + 5 =32x. Simplify yet again, leaving 21 = 32x. Divide 21 by 32, leaving you with 21/32 as your answer (the answer can't be simplified further).Apologies for the long explanations--it's not something I do very well.
Help immediately!!!!! What is the average rate
Answer:
the average rate of change is 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
1. Information
Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;
(3, -5), (4, -1)
One must also know that the formula for slope is;
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
2. Solving
Input the given points into the formula and solve.
[tex]\frac{(-1)-(-5)}{(4)-(3)}[/tex]
[tex]\frac{-1+5}{1}[/tex]
[tex]\frac{4}{1}[/tex]
4
The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the midpoint of the rectangular base.
Work out angle TAC, to 1 decimal place.
Answer:
∠TAC is approximately equal to 61.6°
Step-by-step explanation:
The given parameters for the pyramid are;
The dimension for the rectangular base are; Length = 9 cm, width = 7 cm
The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each
The midpoint of the rectangular base = Point M
The diagonal AC = AM + MC
AM = MC as given M is the midpoint of the rectangular base
∴ AC = AM + MC = 2·AM
By Pythagoras' theorem, AC = √(9² + 7²) = √130
AC = √130 cm
∴ AM = AC/2 = (√130)/2 cm
Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm
∠TAC = ∠TAM
By trigonometric ratios, we have;
[tex]cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}[/tex]
[tex]\therefore cos (\angle TAM) = cos (\angle TAC) = \dfrac{\left (\dfrac{\sqrt{130} }{2} \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}[/tex]
[tex]\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx 61.6 ^{\circ} \ to 1 \ decimal \ place[/tex]
The measure of angle TAC is 61.6 degrees
The given parameters are:
[tex]\mathbf{AB = 7}[/tex]
[tex]\mathbf{BC = 9}[/tex]
Start by calculating length AC, using the following Pythagoras theorem.
[tex]\mathbf{AC = \sqrt{AB^2 + BC^2}}[/tex]
So, we have:
[tex]\mathbf{AC = \sqrt{7^2 + 9^2}}[/tex]
[tex]\mathbf{AC = \sqrt{49 + 81}}[/tex]
[tex]\mathbf{AC = \sqrt{130}}[/tex]
[tex]\mathbf{AC = 11.40}[/tex]
Next, we calculate side length AM
[tex]\mathbf{AM = \frac{AC}{2}}[/tex]
So, we have:
[tex]\mathbf{AM = \frac{11.40}{2}}[/tex]
[tex]\mathbf{AM = 5.70}[/tex]
The measure of angle TAC is calculated using the following cosine ratio
[tex]\mathbf{cos(A)= \frac{AM}{TA}}[/tex]
So, we have:
[tex]\mathbf{cos(A)= \frac{5.70}{12}}[/tex]
[tex]\mathbf{cos(A)= 0.475}[/tex]
Take arc cos of both sides
[tex]\mathbf{A= 61.6}[/tex]
Hence, the measure of angle TAC is 61.6 degrees
Read more about pyramids at:
https://brainly.com/question/15591430
Help... it’s multiple choice math
Answer:
D
Step-by-step explanation:
This is equivalent to t < 4.
clearly this is not part of the set.
Karen will divide her garden into equal parts. She will plant corn in 12 20 of the garden. What is the fewest number of parts she can divide her garden into?
Given that,
Karen will divide her garden into equal parts. She will plant corn in 12/20 of the garden.
To find,
The fewest number of parts she can divide her garden into.
Solution,
It is mentioned that she will plant corn in 12/20 of the garden.
If we divide both numerator and denominator by 4, it will become:
[tex]\dfrac{12/4}{20/4}=\dfrac{3}{5}[/tex]
It means the fewest number she can divide her garden into is 4. 3/5 part is planted with corn and rest 2/5 is not planted with corn plant.
Can someone help me with Question 2? 4a 3(a 2) = 2(3a 2)
Answer:
6a + 2
Step-by-step explanation:
2 ×3a = 6a 2×2 = 4
it gives 6a + 4
(If this is wrong, it would be better to attach an image)
Maribel has $1.25 in her pocket. The money is in quarters and dimes. There are a total of 8 coins. How many quarters and dimes does Maribel have in her pocket?
Answer:
would that be 10
Step-by-step explanation:
The sales tax in your city is
4.4% and an item costs
$3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answer:
$0.13
Step-by-step explanation:
To find how much tax you would pay, find 4.4% of 3:
3(0.044)
= 0.132
Round to the nearest hundredth:
0.132
= 0.13
So, you would pay $0.13 in tax
-1
n is an integer
Write down the possible values of n.
Answer:
All the integers. Since an integer times an integer is always an integer.
Step-by-step explanation:
Answer:
It is always going to be an integer.
Step-by-step explanation:
Hope this helped have an amazing day!
It is worked out that if 4 ladles full of soup are given to each person,
160 people can be fed.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup
Answer:
128 people
Step-by-step explanation:
160 people multiplied by 4 ladles per person equal 640 ladles in total
640 ladles divided by 5 ladles each equals 128 people
Help me out!
Identify the function that reflects f(x) = 14x^3 − 7x^2 + 6 across the y-axis and shifts it 6 units up.
1: h(x) = 14x^3 − 7x^2
2: h(x) = −14x^3 − 7x^2 + 12
3: h(x) = 14x^3 + 7x^2 + 12
4: h(x) = −14x^3 − 7x^2
Answer:
[tex]\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12[/tex]
During Sonia’s trip across the country, she traveled 2,905 miles. Her trip took her 7 days to complete. How many miles did Sonia drive in 5 days?
Answer: 2075
Step-by-step explanation:
Sonia traveled 2905 miles in 7 days
2905/7=415 miles/day
415*5=2075 miles
how do i solve for x
Answer:
wdym
Step-by-step explanation:
Answer:
x = −8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(x + x) + (75 +53 + 68) = 180 (Combine Like Terms)
2x + 196 =180
Step 2: Subtract 196 from both sides.
2x + 196 − 196 = 180 −196
2x = −16
Step 3: Divide both sides by 2
x = -8
Hope this helps!!!
idk what to do can you please help me
Answer:yea sure but I don’t see anything there
Step-by-step explanation:
HELP, i’m not the best in math... will give brinley. SHOW WORK.
3x^2-5x+5y-4+12x
Answer:
simplified: 3x^2+7x+5y-4
Step-by-step explanation:
all you gotta do is you add -5x and 12x
At a farm, the ratio of cows to horses was 1:3. If there were 6 cows at the farm, how many horses were there?
Answer:
there was 18 horses
Step-by-step explanation:
uhh multiplication
Answer:
18 horses
Step-by-step explanation:
i dont have an explanation
PLEASE HELP ITS DUE TODAY!!!Answer the following questions that a sales associate is asking you. Write 2 sentences in Spanish for each question.
1) en que puedo servirle?
2)que busca usted?
3)ve usted algo que te gusta?
4)cual número llevas?
5)como vas a pagar?
Answer:
1) ¿Puedes ayudarme a encontrar ropa?
2) Estoy buscando una camisa y un par de zapatos.
3) Sí. Veo una camisa azul y un par de zapatos blancos.
4) Llevo 3 camisas y 2 pares de zapatos.
5) Voy a pagar en efectivo.
Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1. Represent this situation mathematically. If you use variables, specify what each one means and how many hours per week can Lin work? explain or show reasoning
PLEASE HELP FAST FIND THE DOMAIN AND RANGE OF EACH GRAPH ILL GVIE 30 POINTS!
Answer:
1. domain (-3,5] range (3,4]
2. domain [-2,4] range [5,4]
3. domain (1,4) range (-1,-4)
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
Step-by-step explanation:
1).domain [-3,5)
range( -4,3]
2)domain[-2,4)
range:[-2,5)
3) domain[1,4]
range [-4,-1]