Answers
D.
[tex]m(x) = 0 \\ - 3x = 0 \\ x = 0[/tex]
E.
[tex]m(x) = \frac{ - 3}{25} [/tex]
[tex] \frac{ - 3x}{x {}^{2} + 2x - 24} = \frac{ - 3}{25} [/tex]
[tex] - 3(x {}^{2} + 2x - 24) = - 3(x)(25) \\ divide \: both \: sides \: by - 3[/tex]
[tex]x {}^{2} + 2x - 24 = 25x[/tex]
[tex]x {}^{2} - 23x - 24 = 0[/tex]
[tex](x - 24)(x + 1) = 0 [/tex]
[tex]x = 24 \\ x = - 1[/tex]
Answer:
D
x=0
Step-by-step explanation:
E)
[tex]\frac{-3x}{x^2+2x-24} =\frac{-3}{25} \\x^2+2x-24=25x\\x^2+2x-25x-24=0\\x^2-23 x-24=0\\x^2-24x+x-24=0\\x(x-24)+1(x-24)=0\\(x-24)(x+1)=0\\x=24,-1[/tex]
Related Questions
Prove triangle ABC is congruent to triangle DEC.
Answers
Triangle ABC and DEC are said to congruent since all their sides and angles are equal.
How to prove the statementThe angle for triangle ABC lies in angle B
The angle for triangle DEC lies in angle E
From the diagram, angles B and E are alternate angles and alternate angles are equal.
A corresponds to D
B corresponds to E
The measure of their angles are also equal
Note, congruent triangles are triangles with three corresponding sides and angles
Therefore, triangle ABC and DEC are said to congruent since all their sides and angles are equal.
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if 300 equals 9 and 500 equals 16 what is the pattern? and what will 7 and 18 equal?
Answers
Step-by-step explanation:
hope you can understand
math questionawdAawdadaDaWD
Answers
Substitute 5 in the place of X
[tex]f(x) = \frac{1}{8} \times 4 ^{x} \\ f(5) = \frac{1}{8} \times 4 ^{5} \\ f(5) = \frac{1}{8} \times 1024 \\ f(5) = 0.125 \times 1024 \\ f(5) = 128[/tex]
The asnwer is D
PLEASE GIVE BRAINLIEST
A binomial experiment has the given number of trials N and the given success probability P.
N=8 and P=0.1
P(1)
Answers
The probability of the success will be 0.3826.
What is binomial distribution?Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
We have
n = 8
p = 0.1
q = 1 – 0.1 = 0.9
x = 1
Then we have
P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷
P(1) = 0.3826
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Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13%, percent monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck?
Answers
Thank you for asking this question. Here is your answer:
We will consider the price of the truck to be $x
And the amount of tax in the percentage would be 13%
13/100
= $ 0.13x (this is the actual amount of the tax)
Now we will calculate the total price of the truck =
$x + $ 0.13x
= $ x(1 + 0.13)
If there is any confusion please leave a comment below.
WHAT DOES THIS MEAN???
"If you take Nia out for mexican food, have an air freshener on standby."
Answers
Answer: Beans cause Nia to Fart!
Step-by-step explanation:
Mexican food usually contains beans, which beans are a known catalyst of flatulence. Beans induce farts and Nia does so! Farts usually stink, so an air freshener is needed.
Choose the expression that represents a cubic expression
2x + 11
Answers
The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11
The correct question is as given below:-
Need help ASAP. Choose the expression that represents a cubic expression.
a. 2x + 11
b . −3x² − 2x + 11
c . 4x³ − 3x² − 2x + 11
d . 5x⁴ + 4x³ − 3x² − 2x + 11
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.
Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.
The third-degree expression will be:-
E = 4x³ − 3x² − 2x + 11
Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11
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How would you know the answer (important)
Answers
Answer:
okay so I can't see the last option on ur sheet but when u graph this equation the point that lies on the curve is (2,-3) so that is the vertex but if I move up this curved line it passes through the Y axis at (0,-1), the Last answer that I can't see it wouldn't happen to be (-1,6) would it
Charlotte practices the piano for 4 hours each week. How many minutes does she practice each week?
Answers
Answer:
4 X 60 = 240 minutes
Step-by-step explanation:
there are 60 minutes in each hour
Find a solution to dA/dt=-6A if A(0)=6. A(t)=
Answers
This equation is separable,
[tex]\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt[/tex]
Integrate both sides and solve for [tex]A[/tex] :
[tex]\displaystyle \int \frac{dA}A = -6 \int dt[/tex]
[tex]\ln|A| = -6t + C[/tex]
[tex]e^{\ln|A|} + e^{-6t+C}[/tex]
[tex]\implies A(t) = Ce^{-6t}[/tex]
Solve for [tex]C[/tex] using the initial value.
[tex]A(0) = 6 \implies 6 = Ce^0 \implies C=6[/tex]
Then the particular solution is
[tex]\boxed{A(t) = 6e^{-6t}}[/tex]
A function, h(x), is defined as shown.
h(x) = StartLayout Enlarged left-brace 1st row 1st column one-fourth x minus 4, 2nd column x less-than-or-equal-to 0 2nd row 1st column one-third x minus 3, 2nd column 0 less-than x less-than-or-equal-to 3, 3rd row 1st column one-half x minus 2, 2nd column x greater-than-or-equal-to 4
Which graph represents h(x)?
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 0) and goes up to a closed circle at (0, 1). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, negative 2) and goes up to (6, negative 1).
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, 0) and goes up to (6, 1).
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 3) and goes up to a closed circle at (0, 4). The second line starts at (0, 3) and goes up to a closed circle at (3, 4). The third line has a closed circle at (4, 4) and goes up to (6, 5).
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 0) and goes up to a closed circle at (0, 1). The second line starts at (0, negative 1) and goes up to a closed circle at (3, 0). The third line has a closed circle at (4, negative 2) and goes up to (6, negative 1).
Answers
The graph that represents h(x) is option B: On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). ....
What is the graph about?Using the piecewise function, one can see that;
In x ≤ 0, the slope of the graph of h(x) = 1/4
In 0 < x ≤ 3, the slope of the graph of h(x) = 1/3
In x ≥ 4, the slope of the graph of h(x) = 1/2
Note that the movement is left to right and the slope of h(x) often increases and the slope of the graph is said to become steeper.
Option B shows the graph of h(x) as it best tells the exact point of various aspect of the function.
Therefore, The graph that represents h(x) is option B: On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, 0) and goes up to (6, 1).
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if f(x)=x+10 find f(7)
Answers
Answer:
17
Step-by-step explanation:
→ Substitute 7 f(x) into the function
7 + 10
→ Solve
17
Answer:
f(7) = 17
Step-by-step explanation:
To find f(7), substitute x = 7 in the function. Thus, you will receive:
[tex]\displaystyle{f(7)=7+10}\\\\\displaystyle{f(7)=17}[/tex]
Henceforth, the value of f(7) is 17.
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https://brainly.com/question/27923727The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%
(B) Predict the percentage in 2005.
Answers
Using a linear function, we have that:
The percentage will be 47% during the year of 2001.The predicted percentage in 2005 is of 44.97%.Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
What is a linear function?Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.
Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.
The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.
Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.
Now, t + 1980, for which P(t) = 47.
So, P(t) = 58.8 - 0.5533t
47 = 58.8 - 0.5533t.
0.5533t = 11.8.
t = 11.8/0.5533
t = 21.3.
1980 + 21 = 2001, so the percentage will be 47% during the year 2001.
Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.
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Find slope:
(3,7) & (6,-1)
Answers
Answer:
-8/3
Step-by-step explanation:
Slope = (-1-7)/(6-3) = -8/3
Answer:
-8/3
Step-by-step explanation:
You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get
(-1 - 7) / (6 - 3) = -8/3
(1)
Mrs Tan had $3756 to spend on furniture. She bought a sofa set for $1195 and 6 chairs at $128 each.
(a) How much did she spend altogether?
(b) How much money did she have left?
(Marshall Cavendish/ Pupil's book My Pals Are Here! Maths 4A 3rd Edition)
Answers
= $1195 + 768
= $1963
B) 3756 - 1963 = 1793
again with this please
Answers
Answer:
a) A dozen= 24
3 dozen= 24 x 3
= 72
b) 1 dozen= 12 bananas
A dozen cost= 24
So, 1 banana cost= 24/12
= 2
So, 6 bananas would be 2 x 6 = 12
c) 1 dozen= 12 bananas
A dozen cost= 24
1 banana cost= 24/12
= 2
d) I need to know how many people are there in your class so please mention that first :)
Mark me brainliest pleaseee
Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
a) f(n)=4n+20
b) f(n)=4n+16
c) f(n)=4n+24
d) f(n)=4n+12
Answers
Answer:
b)f(n)=4n+16
Step-by-step explanation:
if n=1
substitute 1 for n in the equation
f(1)=4(1)+16
=4+16
=20
f(2)=4(2)+16
=8+16
=24
And so on
1) (b + a) = 4; use a = 1 and b = 3
2) c(b + b); use b = 1 and c = 5
3) 4+ pm; use m = 4 and p =3
4) 5+ pm; use m = 4 and p = 2
5) m(p + 2); use m = 5 and p = 2
6) h+j²; use h = 1 and j = 4
7) y-(x - 5); use x = 5 and y = 6
8) 4xy; use x = 5 and y = 2
9) n(p + 3); use n = 2 and p = 2
10) y +x+x; use x = 3 and y = 5
11) 6+ a-b; use a = 4 and b = 4
Answers
Step-by-step explanation:
1). (3+1)=4
2).5(1+11)
5(2)=103).4+3(4)
4+12=16.4).5+2(4)
5+8=135).5(2+2)
5(4)=206).1+4^2
1+16=177).6-(5-5)
6-0=68).4×5×2=40
9).2(2+3)
2(5)=1010).5+3+3=11
11)6+(4-4)
6+0=6.I hope this helps. Pls mark as brainliest like and follow me
Simplify
24x²y
6x
for all x = 0.
Answers
Step-by-step explanation:
[tex] = \frac{24 {x}^{2} y}{6x} [/tex]
[tex] = \frac{24}{6} . \frac{ {x}^{2}y }{x} [/tex]
[tex] = 4.xy[/tex]
[tex] = 4xy[/tex]
[tex] \: [/tex]
• Substitute the value of x.
[tex] = 4xy[/tex]
[tex] = 4 \times 0y[/tex]
[tex] = 0[/tex]
There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why?
Answers
Answer:
linear; the rate of change is constant
Help me with this question please and thank you!!! :):)
Answers
Answer:
A intersection B = ( elements which are common in both)
= ( 2,4,7,19)
A union B = ( all the elements which are either in A or in B).
= ( 2, 4, 7 , 13, 14, 19, 20 , 3, 5, 6, 10,11, 12 , 15,17 , 18 , 19 )
Section B 13. Amanda produces the newsletter for an editorial club. Each newsletter contains pages printed on both sides in colour and in black. The graphic designer informs Amanda that the upcoming issue of the newsletter will have 4 pages printed in colour and 20 pages printed in black. Every 4 pages printed in colour will cost x cents. Every 4 pages printed in black will cost y cents. (i) Find an expression for the cost of printing one copy of the newsletter. (1 (ii) Each newsletter costs 14 cents to print. Give an example of the cost of printing 4 pages in colour and the cost of printing 4 pages in black. [ An educational institution in Shanghai wants to subscribe to this newsletter. In Singapore, each newsletter costs S$2.20. The conversion rate is ¥1 = S$0.198 45. (iii) Without using a calculator, estimate the price of one newsletter in Y. Each sheet of paper has a mass of 4.5 g. (iv) How heavy is one copy of the newsletter?
Answers
Answer:
The answer is 3.2
Steve bought a new car for $22,000 but paid 93% of the list price. How much was the list price
Answers
Answer:
approximately $23,655.91 (rounded to the nearest hundredths place)
Step-by-step explanation:
[tex]22,000=0.93x\\x=23,655.91[/tex]
Answer:
Step-by-step explanation:
let the list price=x
93% of x=22,000
x=22,000 ×100/93
≈23,655.91 $
if m=p/2+3r. find the value of p if r=1 and m=5
Answers
Answer:
p = 4
Step-by-step explanation:
[tex]m =\frac{p}{2} +3r[/tex]
[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]
[tex]\Longrightarrow 2m-6r=p[/tex]
[tex]\Longrightarrow p = 2m-6r[/tex]
If m = 5 and r = 1
Then
p = 2(5) - 6(1)
= 10 - 6
= 4
-
Find the area of a rectangle with a length of 15 inches and a width of 9 inches. The area of the rectangle is
inches. Enter only the number.
The solution is
square
Answers
135inches2
Step-by-step explanation:
by multiplying both length and width you can get the sum
Raphael and Martina are engaged and are planning to travel to Las Vegas during the 2020 Christmas season and get married around the end of the year. In 2020, Raphael expects to earn $45,400 and Martina expects to earn $15,800. Their employers have deducted the appropriate amount of withholding from their paychecks throughout the year. Neither Raphael nor Martina has any itemized deductions. They are trying to decide whether they should get married on December 31, 2020, or on January 1, 2021. What do you recommend? Use the appropriate Tax Tables.
Answers
After taking into consideration the advantages in tax management, it will not be beneficial for Raphael and Martina to get married and avail tax benefits.
What are tax benefits?The individual taxable incomes of Raphael and Martina after availing the standard deductions will be $33,000 and $3,400 respectively. Now the computation of taxation liabilities will be computed as,
For Raphael, 10% of $33,000= $3,300;
For Martina, 10% of $3,400 = $340.
However, the joint income will be $61,200 and taxation liabilities of Raphael and Martina will be,
[tex]\rm Taxable\ Income = Total\ Income - Standard\ Deduction\\\\\rm Taxable\ Income =61200-24800\\\\\rm Taxable\ Income =\$36400[/tex]
Solving further,
[tex]\rm Joint\ Taxation = (\frac{10}{100}\ x\ 19750) + (\frac{12}{100}\ x\ 16650)\\\\\rm Joint\ Taxation = 1975+1998\\\\\rm Joint\ Taxation = \$3973[/tex]
Now, it can be compared that the joint taxation is higher than the summation of individual taxation of Raphael and Martina, and thus, tax benefits are not enough for Raphael and Martina to get married.
Hence, the tax benefits of Raphael and Martina after getting married are given as above.
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find the volume of the rectangular prism WILL MARK BRAINLEST
Answers
Step-by-step explanation:
volume= l×w×h
1.1/3×1/2×2/3
=1/9
2. 3/4×1/8×13/16
=39/512
3. 1/12×7/8×1/4
=7/384
4. 3/2×1/7×7/8
=3/16
5. 1/5×9/10×2/3
=3/25
6.6/7×7/8×1/2
=3/8
Volume = w * h * l
1) V = 1/9 ft^3
Height (h) = 1/2 ft
Length (l) = 2/3 ft
Width (w) = 1/3 ft
Therefore,
= w * h * l
= 1/3 * 1/2 * 2/3
= 1/6 * 2/3
= 2/18
=> 1/9
Volume = 1/9 ft^3
2) V = 39/512 in^3
Height (h) = 13/16 in
Length (l) = 3/4 in
Width (w) = 1/8 in
Therefore,
= w * h * l
= 1/8 * 13/16 * 3/4
= 13/128 * 3/4
=> 39/512
Volume = 39/512 in^3
3) V = 7/384 cm^3
Height (h) = 1/12 cm
Length (l) = 7/8 cm
Width (w) = 1/4 cm
Therefore,
= w * h * l
= 1/4 * 1/12 * 7/8
= 1/48 * 7/8
=> 7/384
Volume = 7/384 cm^3
4) V = 1/12 cm^3
Height (h) = 2/3 cm
Length (l) = 7/8 cm
Width (w) = 1/7 cm
Therefore,
= w * h * l
= 1/7 * 2/3 * 7/8
= 2/21 * 7/8
= 14/168
= 1/12
Volume = 1/12 cm^3
5) V = 3/25 m^3
Height (h) = 1/5 m
Length (l) = 2/3 m
Width (w) = 9/10 m
Therefore,
= w * h * l
= 9/10 * 1/5 * 2/3
= 9/50 * 2/3
= 18/150
= 6/50
=> 3/25
Volume = 3/25 m^3
6) V = 3/8 yd^3
Height (h) = 1/2 yd
Length (l) = 6/7 yd
Width (w) = 7/8 yd
Therefore,
= w * h * l
= 7/8 * 1/2 * 6/7
= 7/16 * 6/7
= 42/112
=> 3/8
Volume = 3/8 yd^3
Write 72 as a product of primes.
Use index notation when giving your answer.
Answers
Multiplication is the process of multiplying. The number 72 in terms of the product of primes is described as 2³ × 3².
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The number 72 in terms of the product of primes can be written as,
72 = 2×2×2×3×3×1 = 2³ × 3²
Hence, the number 72 in terms of the product of primes is described as 2³ × 3².
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What is the value of x in the equation 1/5 x-2/3y = 30, when y = 15?
Answers
Answer:
The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15
Step-by-step explanation:
Given
equation: x - 2/3y = 30
when y = 15
Plug in y:
1/5x - 2/3(15) = 30
1/5x - 10 = 30
add 10 to both sides,
1/5x - 10 + 10 = 30 + 10
1/5x = 40
multiply both sides by 5
1/5x * 5= 40 * 5
x = 200
Answer:
x = 200
Step-by-step explanation:
[tex]\frac{1x}{5} -\frac{2y}{3} =30[/tex]
Given that, y = 15.
So, to find the value of x you have to replace y with 15 and make the x the subject.
Let us do that now.
[tex]\frac{1x}{5} -\frac{2*15}{3} =30\\[/tex]
[tex]\frac{1x}{5} -\frac{30}{3} =30\\[/tex]
[tex]\frac{1x}{5} =30+ \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{30}{1} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{30*3}{1*3} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{90}{3} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{120}{3}[/tex]
Use cross multiplication.
[tex]1x*3=120*5\\3x=600[/tex]
Divide both sides by 3.
x = 200
The radius of a circle is 0.00012 * 10 ^ 5 * f * t . What is the area of the circle? Use the formula A = pi * r ^ 2
Answers
Answer: [tex]144\pi[/tex] square feet
Step-by-step explanation:
[tex]A=\pi(0.00012 \times 10^{5})^{2}=\boxed{144\pi \text{ ft}^{2}}[/tex]
