Answer:
x=1
Step-by-step explanation:
20(3x-3/5) = 20(2x-2/4)
12x-12= 10x-10
12x-10x =12-10
x= 1
Answer:
Step-by-step explanation:
Solution
3x - 3 2x - 2
===== = ====== Cross Multiply
5 4
4(3x - 3) = 5(2x - 2) Remove the brackets. Distributive Property
12x - 12 = 10x - 10 Subtract 10 x from both sides
12x-10x - 12 = 10x-10x - 10 Combine
2x - 12 = - 10 Add 12 to both sides
2x-12+12 = -10 + 12 Combine
2x = 2 Divide by 2
2x/2 = 2/2
Answer
x = 1
5
The recursive formula for a geometric sequence is given below. What is the third term in the sequence?
f(1) = 2
f(n) = 3f(n − 1)
-
OA. 18
OB. 54
OC. 162
OD. 12
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Submit
[tex]\Large{ \boxed{ \tt{ \blue{A}}}}\Large{ \boxed{ \tt{ \pink{N}}}}\Large{ \boxed{ \tt{ \green{S}}}}\Large{ \boxed{ \tt{ \purple{W}}}}\Large{ \boxed{ \tt{ \red{E}}}}\Large{ \boxed{ \tt{ \pink{R}}}}[/tex]
[tex] \: \: [/tex]
A. 18[tex] \: \: [/tex]
[tex]\Large{ \boxed{ \tt{ \blue{S}}}}\Large{ \boxed{ \tt{ \pink{O}}}}\Large{ \boxed{ \tt{ \green{L}}}}\Large{ \boxed{ \tt{ \purple{U}}}}\Large{ \boxed{ \tt{ \red{T}}}}\Large{ \boxed{ \tt{ \pink{I}}}}\Large{ \boxed{ \tt{ \blue{O}}}}\Large{ \boxed{ \tt{ \pink{N}}}}[/tex]
[tex] \: \: [/tex]
[tex] \mathtt{f(1) = 2}[/tex][tex] \tt{f(2) \: = \: 3f \: (1) \: = \: 3(2) \: = \: 6}[/tex][tex] \tt{f(3) \: = \: 3f(2) \: = \: 3(6) \: = \: 18}[/tex][tex]\color{pink}─────────────────────────────────────[/tex]
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the data below shows the number of workers employed in the various section s of each a construction company in the Lagos
Carpenter 24
plumber 12
labourers 27
plasterers 15
painters 9
Messengers 3
bricklayers 18
if the Worker is retrenched, what is the probability that he is a plumber or a plasterer?
If the Worker is retrenched, the probability that he is a plumber or a plasterer will be 0.0152.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
The probability that the employee is a plumber;
[tex]\rm P(plumber)= \frac{No \ of \ plumber}{Total \ number \ of \ employ} \\\\ P(plumber)=\frac{12}{108} \\\\\ P(plumber)= 0.11[/tex]
The probability that the employee is a plasterer;
[tex]\rm P(plasterers )= \frac{No \ of \ plasterers }{Total \ number \ of \ employ} \\\\ P(plasterers )=\frac{15}{108} \\\\\ P(plasterers )= 0.13[/tex]
The probability that he is a plumber or a plasterer:
P = 0.13 × 0.11
P= 0.0152
Hence, if the worker is retrenched, the probability that he is a plumber or a plasterer will be 0.0152.
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Which point is a reflection of Z(5/1, 3) across the x-axis? Please I will give the brainliest
Answer: (5/1, -3)
Hope this helps :)
Answer:
Look at the attachment.
Step-by-step explanation:
Look at the attachment.
I need all of these please
Answer:
second answer is 120
firsr answer is 25
Factor the following expression. x² - 10x +9 2 Factor the following expression . x² - 10x +9 2
Answer:
x² - 10x + 9 = (x-9)(x-1)
the factored expression would be (x-9)(x-1)
? Question
Select the graph of the transformation.
The graph f(x)=√√ is transformed to form
shows g(x).
Answer: The vertex of the graph of [tex]y=x^2[/tex] is shifted to the right 4 units and up 3 units.
What is the equation for the following word problem: Hayden is selling snacks for $1.50 each. If he made $15, how many snacks did he sell?
Answer:
10
Step-by-step explanation:
15 ÷ 1.5 = 10
Please help me answer this question
Answer:
Z = sin(xy)
[tex]\frac{1}{y} \times \frac{\partial Z}{\partial x} =\cos \left( xy\right) =\frac{1}{x} \times \frac{\partial Z}{\partial y}[/tex]
file attached belowfile attached below
determine if x-3 is a factor of f(x)=x^3-x^2-5x-3
Step-by-step explanation:
please mark me as brainlest
Answer:
(x - 3) is a factor of the given function
Step-by-step explanation:
Given function:
[tex]\implies f\:\!\:(x)=x^3-x^2-5x-3[/tex]
If (x - 3) is a factor of the given function then [tex]f\:\!\:(3) = 0[/tex]
Substitute x = 3 into the function and solve:
[tex]\implies f\:\!\:(3)=(3)^3-(3)^2-5(3)-3[/tex]
[tex]\implies f\:\!\:(3)=27-9-15-3[/tex]
[tex]\implies f\:\!\:(3)=0[/tex]
Therefore, as [tex]f\:\!\:(3) = 0[/tex] then (x - 3) is a factor of the given function.
Complete the following table using the equation: y = -2x²
The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The equation of the parabola will be
y = -x²
The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
The graph of the function is given below.
More about the parabola link is given below.
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What's the solution to –9x + 4 < 40? Question 4 options: A) No solutions B) All real numbers C) x > –4 D) x < –6
Hey there!
-9x + 4 < 40
SUBTRACT 4 to BOTH SIDES
-9x + 4 - 4 < 40 - 4
SIMPLIFY IT!
-9x < 40 - 4
-9x < 36
DIVIDE -9 to BOTH SIDES
-9x/-9 < 36/-9
SIMPLIFY IT!
x < 36/-9
x < -4
Therefore, the answer should be:
x < -4
(The graph is down below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A rectangular basketball court measures with a length of 82yds and
Width of 38 yards What is the perimeter and area?
Answer:
area:3116 perimeter:240
Step-by-step explanation:
the formula of area is always length x width=82x38 =3116the formula for the perimeter is always length+length+width+width=82+82+38+38 =240Hii!
__________________________________________________________
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}\circ\leftharpoonup}}[/tex]
Pelet'rimeter =
Area = 3116 cm^2
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}\circ\leftharpoonup}}[/tex]
[tex]\bullet[/tex] Let's work out the perimeter
[tex]\twoheadrightarrow\sf P=2(a+b)[/tex]. a=length & b=width
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf P=2(82+38)[/tex]
[tex]\bullet[/tex] Perform the addition operation
[tex]\twoheadrightarrow\sf P=2\cdot120[/tex]
[tex]\bullet[/tex] Multiply and obtain the perimeter
[tex]\twoheadrightarrow\sf P=240cm[/tex]
[tex]\bullet[/tex] Now let's find the area
[tex]\twoheadrightarrow\sf A=lw[/tex] l=length w=width
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf A=82\cdot38[/tex]
[tex]\bullet[/tex] Multiply and obtain the area
[tex]\twoheadrightarrow\sf A=3116cm^2[/tex]
--
Hope that this helped! Best wishes.
[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]
--
Maria expanded the following square as follows: (x+3)² =x²+9, is this correct?
Answer:
x² + 6x + 9
Explanation:
[tex]\sf = \left(x+3\right)^2[/tex]
Use perfect square formula: (a + b)² = a² + 2ab + b²
[tex]= \sf x^2 + 2(x) (3) + 3^2[/tex]
simplify the following
[tex]= \sf x^2 + 6x +9[/tex]
Hence Maria is not correct. The correct answer is x² + 6x + 9.
Terick ran 2 3of a mile in 8 minutes. It took Chad 40 minutes to run 3 1 4miles. a. If Terick runs at that speed, how long will it take him to run one mile?
The time taken for Terick to run one complete mile is determined as 12 minutes
Speed of Chad
The speed of chad is calculated as follows;
s = distance/time
s = (3.25 miles)/(40)
s = 0.08125 miles/min
Total distance ran by Terick2/3 of a mile = 8 mins
1/3 of a mile = ?
1/3 of a mile = 4mins
1 mile = 8 mins + 4 mins = 12 mins
Thus, the time taken for Terick to run one complete mile is determined as 12 minutes.
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Question 5 of 10
Which function is shown in the graph?
Answer:
A
Step-by-step explanation:
By looking at the graph you can eliminate B as a choice since the denominator is 1+x which means it would have a vertical asymptote as x=-1 which doesn't correspond with the graph shown. You can also eliminate C since the function doesn't have a vertical asymptote as x=3 since the denominator of the function is 3-x meaning it would be undefined at x=3. It should be A since it appears to approaching 1 with a vertical asymptote at x=1 which corresponds with the denominator 1-x. If you plug in the value 0 as x you get 3 which is what is shown on the graph when x equals 0
8
Diameter;
Radius:
B
(a) Find the perimeter of the square
(b) Find the area of the square Area =
(c) Find the circumference of the circle C = 2πr
(d) Find the area of the circle. Area = πr²
(e) Find the area of the region between the square and the circle
answer: A: 16
B: 16
C: 12.57
D: 12.57
E: 3.43 (do area of square-area of circle 16-12.57
Use the Factor Theorem to determine whether x−1 is a factor of 4x^3−6x^2+2x+1.
Prove: An odd number squared is
an odd number.
(2n + 1)² = [?]n² + [ ]n +
=
[](2n² + 2n) + [ ]
= an odd
Considering the result of the expression of the square of the sum, 2(2n² + 2) is always an even number, then when 1 is added it will always be an odd number.
What is the square of the sum notable product?It is given as follows:
(a + b)² = a² + 2ab + b².
In this problem, the expression is:
(2n + 1)² = (2n)² + 2(2n)(1) + 1²
= 4n² + 4n + 1
= 2(2n² + 2) + 1
The term 2(2n² + 2) will always be even(multiplication by 2), and when 1 is added to an even number it will always be odd, hence it is proved that an odd number squared is an odd number.
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PLEASEEEEEEE PLEASEEEEEE HELPPPPPP ASAPPPP
Find the measure of angle A in degrees.
Answer:
Angles are 45, 45 and 90 degrees because
AB and BC are congruent so that means the angles eating the sides are also congruent.
So to find the congruent angles:
180-90=90/2=45 degrees
To find AC:
a²+b²=c²
x²+x²=h²
√18=√c²
3√2=c
(I don't know why it says 3√3, but I think the q is wrong)
Hope it helps!
Answer:
45 degrees
Step-by-step explanation:
This is a special right triangle with these lengths. Which leads us to find the angles of 45, 45, 90 and B is 90 so A and C are 45 degrees.
A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.
Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.
What is the cost of the bond?The current cost of the bond is the present value of the bond's cashflows and its par value.
This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.
The cost of the bond is:
= 1,000 x 85 ¹/₄%
= $852.50
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D − 37 = 40
D =
Check your solution.
− 37 = 40
If f(x)=x+2 and g(x)=x2+1 find:a. f(g(x)) b. g(f(x))
Answer:
Step-by-step explanation:
Answer:
x² + 3 and x² + 4x + 5
Step-by-step explanation:
(a)
to find f(g(x)) substitute x = g(x) into f(x)
f(g(x))
= f(x² + 1)
= x² + 1 + 2
= x² + 3
(b)
to find g(f(x)) substitute x = f(x) into g(x)
g(f(x))
= g(x + 2)
= (x + 2)² + 1 ← expand factor using FOIL
= x² + 4x + 4 + 1
= x² + 4x + 5
Samantha opened a savings account and deposited $8192. The account earns 10% in interest annually. She makes no further deposits and does not withdraw any money. In t years, she has $25,710 in this account. Write an equation in terms of t that models the situation.
The equation in terms of t that models the situation is given by
[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex].
We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as
[tex]A = P(1+\frac{r}{n})^{nt}[/tex],
where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.
Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710
So, we can write
[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]
Therefore the required equation is
[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]
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What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
The value of x in the right angle triangle is 45 / 4 units
How to find the side of a right triangle?AB² = 20² - 15²
AB = √400 - 225
AB = √175
AB = √175 units
Hence, using similarity ratio,
x / 15 = 15 / 20
cross multiply
20x = 225
x = 225 / 20
x = 45 / 4
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Simplify this expression:
12a−8−5a+12
12a - 8 -5a + 12
arranging like terms
12a - 5a - 8 + 12
a ( 12-5) - 8 - 12
a(7) - 4(2 - 3)
a(7) -4(-1)
a(7) + 4
7a + 4
simplifing the expressions
Answer:
12a-5a-8+12
=(12-5)a+4
=7a+4
paul asked to order snacks for an office meeting of 180 people. she decides to order desert squares which come in boxes of 24. she estimates she will need 3.5 snacks per person. how many boxes should she buy?
Answer:
27 boxses
Step-by-step explanation:
calculations is shown in the picture
Giving you the brainliest!
Answer:
The answer will be J
Step-by-step explanation:
Since you see, that the 67,896 will need to be rounded. It rounds up to 70,000 so you can elinmate M & N. 22% can be converted as a decimal to 0.2, also equals to 0.20. So elinmate L. Now you have J and K. You always times with these kinds of percentage.
Therefore the Answer Will Be J: 70,000 timed by 0.20.
Expert-Certifieder of Cousin.
If f(x) = 6x² - 4 and g(x) = 2x + 2, find (f- g)(x)
Step-by-step explanation:
[tex]f(x) = 6 {x}^{2} - 4[/tex]
[tex]g(x) = 2x + 2[/tex]
[tex] \: [/tex]
[tex] = (f - g)(x)[/tex]
[tex] = f(x) - g(x)[/tex]
[tex] = 6 {x}^{2} - 4 - (2x + 2)[/tex]
[tex] = 6 {x}^{2} - 4 - 2x - 2[/tex]
[tex] = 6 {x}^{2} - 2x - 4 - 2[/tex]
[tex] = 6 {x}^{2} - 2x - 6[/tex]
[tex](f - g)(x) = 6 {x}^{2} - 2x - 6[/tex]
Number of Potatoes
36
24
12
5
10
Number of Pounds
x
15
Use the graph to find the unit rate.
potatoes per pound