Answer:
f(g(x)) = 18x - 8
Step-by-step explanation:
f(x) = 3x + 7 and g(x) = 6x - 5
Substitute g(x) into f(x):
f(g(x)) = 3(6x - 5) + 7
Distribute the 3 from outside the parentheses:
f(g(x)) = (18x - 15) + 7
Combine like terms:
f(g(x)) = 18x - 8
Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
$254.76
$867.16
$632.00
$2,547.58
Answer:
Patricia's account balance after thirteen years is $867.16
Step-by-step explanation:
This problem is on simple interest calculation
we know that the formula for simple interest is given as
A= P(1+rt)
Given that
P= $612.40
r= 3.2%= 0.032
t= 13 years
Applying the formula we have
A= 612.40(1+0.032*13)
A= 612.40(1+0.416)
A= 612.40(1.416)
A= 867.1584
A= $867.16
Could you answer this
the product of nine and the difference between a number and five
5-9x
9(x-5)
9(5-x)
9x-5
Answer:
9(x-5)
Step-by-step explanation:
Product of 9 = Multiply by 9
Difference = Subtract
Number = x
Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).
What is an Algebraic Equation?An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.
Let variable x represent the number
Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).
Learn more about algebraic expression on:
https://brainly.com/question/2164351
Latoya rolled a number cube 500 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths
Answer:
a) experimental: 164/500 = 41/125, which is 0.328
b) theoretical: 2/6 = 1/3, which is 0.333333....
c) the first answer, small difference
Step-by-step explanation:
A preferred stock pays an annual dividend of $6.75 and sells for $58.60 a share. What is the rate of return on this security?
Answer:
11.52%
Step-by-step explanation:
Price (p0) = 58.6
Dividend (D1) = 6.75
P0= D1/ke
58.6 = 6.75/ke
ke = 6.75/58.6
ke = 0.1152 or 11.52%
Rate of return (ke) = 11.52%
Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4)0=(3x+2)(x−4)0, equals, left parenthesis, 3, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis Erik said, “The right-hand side is factored, so I'll use the zero product property.” Caleb said, “I'll multiply (3x+2)(x-4)(3x+2)(x−4)left parenthesis, 3, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis and rewrite the equation as 0=3x^2-10x-80=3x 2 −10x−80, equals, 3, x, squared, minus, 10, x, minus, 8. Then I'll use the quadratic formula with a=3a=3a, equals, 3, b=-10b=−10b, equals, minus, 10, and c=-8c=−8c, equals, minus, 8." Whose solution strategy would work?
Answer:both
Step-by-step explanation:
Answer:
Both :)
Step-by-step explanation:
Li-Hua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why?
a) 4 inches
b) 6 inches
c) 13 inches
d) 16 inches
Answer:
16 inches
Step-by-step explanation:
in a triangle, the sum of any two sides must be greater than the third side
(–6x2 – 3x – 1) - (x + 8)
Answer:
-6x^2-4x-9
Step-by-step explanation:
(–6x^2 – 3x – 1) - (x + 8)
Distribute the minus sign
–6x^2 – 3x – 1 - x - 8
Combine like terms
-6x^2-4x-9
3.6399; thousandths round it
Answer:
3.6399 = 3.640
Step-by-step explanation:
[tex]3.6399\\1\:2\:3[/tex]
Rounding to nearest thousandth means rounding to 3 decimal place
(0 to 4) =round down
(5 to 9)= round up
Is the point (2,14) a solution of the equation y = 5x - 3?
Answer: No it is not
Please help me and answer this in 20 mins please
a) The perimeter of question a's shape is 18 units.
b) The answer to question b is 28 ft.
Write an equation of the line below.
Answer: y=(-1/4)x
Step-by-step explanation:
slope-intercept form: y=ax+b
--------------------------------------------
#1 Find the slope
- Use rise/run: -(2/8)=-1/4
-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4
#2 Find the y-intercept
- Given the point (0,0), the y-intercept is already shown which is 0
------------------------------------------
a=-1/4
b=0
y=(-1/4)x
express1470 and 7056 as a product of prime factors hence eveluate leaving the answer in prime factors form
Answer:
Step-by-step explanation:
the prime factors of 1470= 2 x 3 x 5 x 7 x 7
also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
hence of
1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
required answer pls hit the stars and brain-list it
will mark brainliest, 60 points
Answer:
21 C
22 B
23 169
Step-by-step explanation:
21 3m mean 3 times a certain number
22 the negative make the 4 go negative and the -5 positive
23 i did 5^2-4^2= 9
then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2
then 13 x 13 = 169
f (x) = 2(x)2 +59/(x+2)
In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C
please help !!!!!! i will mark brainliest for the best answer
BRAINLIEST AND HELLA POINTS Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Hey there!
4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.
4a^2 - 20a +25
(2a)^2 - 20a + (-5)^2
(2a - 5)^2
(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.
Let me know if this helps :)
Answer:
Step-by-step explanation:
Part A
[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]
does that seems familiar?
it's because it's a perfect square that can be factorized as
[tex](2a-5)^2[/tex]
so the length of each side is
2a-5 both of them
Part B
[tex]9a^2-16b^2[/tex]
[tex](3a)^2-(4b)^2[/tex]
that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]
so
[tex](3a-4b)(3a+4b)[/tex]
so the lengths are
3a-4b and 3a+4b
Of the 80 trees planted, 2 out of 5 survived the winter. How many trees died during the winter?
Answer:
32
Step-by-step explanation:
2/5x80
16x2
32
Hope this helps
Answer:
48 died
Step-by-step explanation:
2 out of 5 survived that means 5-2 = 3
3 out of 5 died
Multiply that fraction that died by the total number
3/5 * 80
48
- On an arcade game, Connor got the 100-point bonus 5 times and the 150-point penalty 3 times. If he started with 200 points, how many points does he have now? Explain how you found your answer.
Answer: 1,150
Step-by-step explanation:
100 x 5 = 500
150 x 3 = 450
500 + 450 + 200
Connor has 1,150 points
What are the solutions to the equation? 4x ^ 3 = 36x
Answer:
x = - 3, x = 0, x = 3
Step-by-step explanation:
Given
4x³ = 36x ( subtract 35x from both sides )
4x³ - 36x = 0 ← factor out 4x from each term
4x(x² - 9) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x² - 9 = 0 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3
Answer:
4x^3=36x.
4x^3-36x=0.
4x^3=36x.
4x(x^2-9)=0.
4x=0,x^2-9=0.
x=0,x^2=9.
x=0,√9=+3 or -3.
x=0,+3,-3.
Thank you for the question
an empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.
Answer:
Since I can't draw it I'll give you the answer. 2,000 g.
Step-by-step explanation:
A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.
Solve x≤0 or x≥−4 and write the solution in interval notation.
Answer:
-4 ≤ x ≤ 0
Step-by-step explanation:
Given
x ≤ 0 or x ≥ -4
Required
Write using Interval notation
x ≤ 0 or x ≥ -4
This can be rewritten as
x ≤ 0 or -4 ≤ x
Reorder the above inequality to give:
-4 ≤ x or x ≤ 0
The above inequality can then be combined to give
-4 ≤ x ≤ 0
Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0
Given the following expression, identify the coefficient of the 2nd term
-6n^2+5n+3
A. -6
B. 2
C. 5
D. 3
Answer:
C. 5
Step-by-step explanation:
The "second term" is basically just the second coefficient/variable pair. The first one is -6n and the second one is 5n. The coefficient is the number attached to the variable, and in 5n, 5 is the coefficient.
A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle.
Answer:
Arectangle=27.68cm (approximately)
Step-by-step explanation:
in order to find the area of the rectangle first you need to find the measure of the length and width.
since both of them aren't given ,use trigonometry to find the value of the length and width.
sin30°=opposite/hypotenuse
sin30°=opposite/8cm
opposite=sin30°*8cm. >sin30°=0.5
opposite=4cm
cos30°=adjacent/hypotenuse
cos30°=adjacent/8cm
adjacent=cos30°*8cm. cos30°=0.866
adjacent=6.92cm (approximate value)
Arectangle= bh
Arectangle=4cm*6.92cn
Arectangle=27.68cm
A set of values is shown belovi
12.7, 22, 23.5, 24, 11, 22
What is the mean absolute deviation of the set of values?
A o
B 3.96
C 4.9
D 19.2
Answer:
sorry yall i can help u
Step-by-step explanation:
Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?
Answer:
The probability is [tex]P(X < 25) = 0.308[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time is uniform probability distribution between 21 and 38 minutes.
Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as
[tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]
=> [tex]P(X < 25) = 0.308[/tex]
Please help fast!, i'd really like the correct answers- :'O
Answer: 2/5
Step-by-step explanation:
[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5
Answer:
−2/5 + 4/5= 2/5
2/5
I'd love brainliest btw (❁´◡`❁)
For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).
Answer:
[see below]
Step-by-step explanation:
Replace 'x' with the given value and evaluate.
For f(0):
[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]
For f(1/2):
[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]
For f(-2):
[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]
Hope this helps.
Solve √108÷√125+√75 step by step
Answer:
Step-by-step explanation:
√108 ÷ √125 + √75
= 6√3 ÷ 5√5 + 5√3
= 11√3 / 5√5
hope this helps
plz mark as brainliest!!!!!!!
ic
А
50
B
(2x + 260 )°
O A. O
B. 2
C.5
OD.7
Answer:
[tex]\Huge \boxed{x=0}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
y + 50 = 180
y = 180 - 50 = 130
We can use Angle formed by a chord and tangent theorem to solve for x.
The angle formed by a chord and tangent is half the measure of the intercepted arc.
130 = 1/2(2x+260)
Expand brackets.
130 = x+130
Subtract 130 from both sides.
x = 0