Answer:
[tex]\\ (f+g)(x)=f(x)+g(x)=\sqrt{x+5}-4+\sqrt{x+5}+4=2\sqrt{x+5}[/tex]
Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)
The answer is 5x-y-2=0 but I don’t know how to get to it.
Step-by-step explanation:
The slope of the tangent line is equal to the derivative.
f(x) = 3x² − ln x
f'(x) = 6x − 1/x
f'(1) = 6(1) − 1/1
f'(1) = 5
Use point-slope form:
y − 3 = 5 (x − 1)
Simplify:
y − 3 = 5x − 5
0 = 5x − y − 2
Write the equation so that a = 1: x2 + x =
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
To know more about algebraic expression visit : https://brainly.com/question/953809
#SPJ1
2. Convert the General form of a circle's equation to the standard form. Identify the center
and radius. x^2 + y^2 - 12x - 10y = -12
Answer:
Write in standard form.
(x−6)2+(y−5)2=49
Answer:
Step-by-step explanation:
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23find the values of x and y in the following triangle
can someone help me plzzz
30
40
R
P
60°
What is the measure of ZPTQ?
120
S
140°
180°
120°
100°
Answer:
140°
Step-by-step explanation:
Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:
360 = 120 + 60 + 40 + ∠PTQ
360 = 220 + ∠PTQ
-220 -220
140 = ∠PTQ
∠PTQ = 140°
Join my math help server in discord to get more help in mathematics:
Friend me at: GeoGuy#0187
If on a scale drawing 100 feet are represented by 15 inches, then a scale of 1/2 inches represents how many feet
Answer:
3 1/3 feet
Step-by-step explanation:
100 feet : 15 inches
3 1/3 feet : 1/2 inch
Answer:
[tex]3\frac{1}{3}[/tex] feet
Step-by-step explanation:
Inches : Feet = 15 : 100
Let 'x' be the feet required to find
15 : 100 :: 1/2 : x
Product of extremes = product of means
15 * x = 100 * (1/2)
15 * x = 50
x = 50/15
x = 10/3
x = [tex]3\frac{1}{3}[/tex]
Fractions-3 3/7- 1 2/7=
Answer:
-4.714
Step-by-step explanation:
Answer:
1 (if the 3 3/7 is positive)
or
-4 5/7 (if the 3 3/7 negative)
You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?
Answer:
1.11
Step-by-step explanation:
A company had 260 workers. After a few of them were laid off by the company, there were 247 workers in total. What was the percentage decrease in the number of workers in the company?
Answer:
0.95% decrease
Step-by-step explanation:
247/260 to get your answer
Abhasra bought nine fancy pens for a total of $44.01. How much did each pen cost?
A.) $4.21
B.) $4.89
C.) $4.42
D.) $396.09
Answer:
B.) $4.89
Step-by-step explanation:
44.01 ÷ 9 = 4.89
Answer:
B) $4.89
Step-by-step explanation:
44.01/9 = 4.89
44.01 = the total amount
9 = the amount of pens he got
to check your work you can do 4.89 x 9 which equals 44.01
List the transformations of the function.
f(x)= 2(-2x+1)2 + 4
Answer:
Transformations of f(x) = ⅙(-2x + 1)² + 4:
vertical compressionreflects across y axishorizontal compressiontranslates lefttranslates upColin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?
For f(x) = -4x+2 find f(x) when x = -1 A. -2. B. 6 C. -4 D. 2
Answer:
The answer is letter B which is 6.
f(x) = -4x+2
f(x)=-4(-1)+2
f(x)=4+2
f(x)=6
Darren’s account was overdrawn by $150, before he deposited $480.
5 x 4000 step by step for khan
Answer:
Step-by-step explanation:
5×4000
=20,000 answer
what is x
4 x 3x = 48
Answer:
x=4
Step-by-step explanation:
4 x (3x4)=48
you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4
what is the value of h in the triangle
Answer:
I think the answer is 7.2
I need help with this.
How do you do this question?
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.
Answer:
the answer would be 2,969 also i think the cost of tickets is pretty useless
Step-by-step explanation:
Answer:2,969
Step-by-step explanation:
Directions : Find the indicated term of each arithmetic sequence.
Question :14th term: a = 4; d = -5
Answer:
The 14th term is -61.
Step-by-step explanation:
T(n) = 9-5n
T(14) = 9 - 5 * 14 = 9 - 70 = -61
What is 0.06% written as a decimal?
Answer:
0.0006
Step-by-step explanation:
!!!!!!!PLEASE HELP I NEED THIS FOR TODAY!!!!!
Shelly has a summer job where she cams $800 each summer. She plans to work at this summer job
year for the next fie summers. She wants to save the money from her summer job to pay for her first
year of onllege. The college she is thinking of amending charges $8.900 for one year's tuition. Her parents
The suit that they will pay half of her tuition will she have enough money for her first year's tuition? How
much does she have or how much more does she need
Wich steps are needed to solve this equation b+6=21
Answer:
b=15
Step-by-step explanation:
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answer:
Step-by-step explanation:
109
hhheeelllppptukskuttttttt
Answer:
A
Step-by-step explanation: