Answers
Answer:
Step-by-step explanation:
x^2 = 5x + 24 Transfer (subtract) 5x + 24 to the left.
x^2 - 5x - 24 = 5x-5x+24 -24
x^2 - 5x - 24 = 0 This does factor. -8 and 3 are your factors.
(x - 8)*(x + 3) = 0
So if x - 8 = 0
then x - 8 + 8 = 0 + 8
x = 8
If x + 3 = 0
then x = - 3
Are these both correct?
x^2 = 5x + 24
x = 8
8^2 = 5*8 + 24
64 = 40 + 24
64 = 64
and x - 8 is a factor
x^2 = 5x + 24
x = - 3
(-3)^2 = 5 * -3 + 24
9 = -15 + 24
9 = 9
And x + 3 is a correct factor
Related Questions
Twelve is sixteen less than four times a number. Write it as a mathematical statement.
Answers
Answer:
12=4x-16
x would represent the unknown number.
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answers
Answer:
Hypotenuse: 20√2
Acute Angle measurements: 45
Step-by-step explanation:
Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.
By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.
Note that the leg side measures 20. Multiply:
20 * √2 = 20√2.
Hypotenuse: 20√2
Acute Angle measurements: 45
M.) A typical tip in a restaurant is 15% of the
total bill. If the bill is $125, what would the
typical tip be?
Answers
1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1
Answers
Answer:
C.
Step-by-step explanation:
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
Write them in ascending order:
1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.
The mean = sum of the numbers / 11
= 80/77
= 7.3.
The median = the middle number
= 7.
The mode = the number which occurs most
= 1.
Write the equation of the line that passes through the point -3,4 and slope of 6
Answers
Explanation:
1. we first start with the equation y=Mx+b
2. Then we plug in the slope (6) into M
3. Now you have y=6x+b
4. Now you plug in your point (-3,4) into the y and the x values
5. You are now stuck with 4=6(-3)+b
6. Now multiply 6 and -3 which gets you -18
7. Your new equation is now 4=-18+b
8. Now add 18 to both sides of the equals sign
9. Now you have 4+18=b
10. Add 4+18 which gets you 22. B is 22
11. Plug b into the equation and turn the values of x and y back to those letters
12. You now have the answer of y=6x+22
What is the solution to the system of equations?
Answers
Answer:
(-2, 5/3)
Step-by-step explanation:
Substitute x with -2 and solve
y = 2/3(-2) + 3
Multiply 2/3 and -2
y = -4/3 + 3
Add
-4/3 + 3 = 5/3
y = 5/3
Final answer:
(-2, 5/3)
Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?
Answers
Answer:
distribute parenthesis
Step-by-step explanation:
6(2x + 1) = 4x - 5 ← distribute parenthesis on left side
12x + 6 = 4x - 5 ( subtract 4x from both sides )
8x + 6 = - 5 ( subtract 6 from both sides )
8x = - 11 ( divide both sides by 8 )
x = - [tex]\frac{11}{8}[/tex]
0.36 as a standard form
Answers
Answer:
0.36 x 10⁰Step-by-step explanation:
Which of the following statements is meaningless?
A.There was a 3% decrease in the price of sugar.
B.There was a 200% increase in the population of a town.
C.There was a 120% decrease in the amount of water in a dam. D.There was a 0% change in the temperature in the room after 1 hour.
Answers
Answer:
(C)
Step-by-step explanation:
If can't have a meaning as something can't decrease more than 100% of itself.
The statement that is meaningless is
There was a 120% decrease in the amount of water in a dam.
Option C is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A percentage increase can be of any number.
A percentage decrease can not be below 100%.
Now,
A.
There was a 3% decrease in the price of sugar.
This is possible.
B.
There was a 200% increase in the population of the town.
This is possible.
C.
There was a 120% decrease in the amount of water in a dam.
This is not possible.
The highest percentage decrease can be up to 100%.
D.
There was a 0% change in the temperature in the room after 1 hour.
This is possible.
Thus,
There was a 120% decrease in the amount of water in a dam is meaningless.
Learn more about percentages here:
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PLS HELP SO CONFUSED POSSIBLE BRANLIEST
The figure below shows the letter Z and four of its transformed images—A, B, C, and D:
A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
Which of the four images was formed by a reflection of the letter Z?
A
B
C
D
Answers
Answer: The correct answer is A.
Step-by-step explanation: The answer is A, because a reflection would be reflected, therefore it is on the right side of the graph and the Z is facing the other way as if it were a literal reflection.
A
give the other brainliest
Which geometric series converges? StartFraction 1 Over 81 EndFraction StartFraction 1 Over 27 EndFraction one-ninth one-third ellipsis 1 one-half one-fourth one-eighth ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1.
Answers
The geometric series that converges from the listed option is [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex] Option B is correct.
The nth term of a geometric sequence is expressed as;
[tex]a_n=ar^{n-1}[/tex]
a is the first term of the sequencer is the common ration is the number of terms.For a geometric sequence to converge, the modulus of its common ratio must be less than 1 (|r| < 1), otherwise, it diverges.
For the first series given as [tex]\frac{1}{81} + \frac{1}{27} +\frac{1}{9} +\frac{1}{3}+ ,...[/tex]
[tex]r = \frac{1}{27} \div \frac{1}{81}\\r=\frac{1}{27} \times 81\\r=\frac{81}{27} \\r=3 > 1[/tex]
Since the common ratio of the sequence is greater than 1, hence the series diverges.
For the series [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex]
[tex]r=\frac{1/2}{1} =\frac{1/4}{1/2} = \frac{1}{2}[/tex]
Since the common ratio of the sequence is less than 1, hence the series converges.
Learn more on convergence of series here: https://brainly.com/question/14294471
f(x) is graphed below. If g(x)=f(x+2)-4, what are the roots of g(x)?
Answers
Answer:
fortnit 90s
Step-by-step explanation:
crank and c until u get too 90 height
Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done
Answers
Answer:
1.11 feet
Step-by-step explanation:
i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11
A boat heading out to sea starts out at Point AA, at a horizontal distance of 968 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 7^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Answers
As the distance from the lighthouse, LH, increases, the angle of elevation,
reduces.
The distance from point A to point B is approximately 1,269.9 feet.Reasons:
The distance of point A from the light house = 968 feet
Angle of elevation from point A to the lighthouse = 7°
Angle of elevation from point B to the lighthouse = 3°
Required:
The distance from point A to point B.
Solution:
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]
Which gives;
[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]
Height to the lighthouse = tan(7°) × 968 feet ≈ 118.86 feet
From point B, we have;
[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]
Therefore;
[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]
Therefore;
Distance from A to B = D
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet
The distance from point A to point B, D ≈ 1,269.9 feet
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Which of the following functions is graphed below?
Answers
Answer:
D is the correct answer
Step-by-step explanation:
if candy canes cost .89 a dozen, how much would it cost to buy candy canes for a school with 300 students
Answers
Answer:
267
Step-by-step explanation:
Answer:
First dont give candie second keep for yourself third mock them 4th be greedy
Step-by-step explanation:
by buying candie from your own money nah waste on yourself
I seriously don’t understand please help
Answers
Answer:
Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times
cannot decide which of two washing machines to buy. The selling price of each is $. The first is marked down by %. The second is marked down by % with an additional % off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Answers
You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.
Step-by-step explanation:
113 + 377 = 117 + _
Pls answer guys.
Answers
Answer:
373
Step-by-step explanation:
113+377=490
490-117=373
answer:
=117+373
A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?
Answers
Answer:
2,771
Step-by-step explanation:
24 x 114 = 2736 + the 35 they threw away = 2,771
An ice cream store has 31 flavors of ice cream and 10 toppings. A regular sundae has one flavor of ice cream, one topping, and comes with or without whipped cream. How many different ice cream sundaes can be ordered?
Answers
Answer:
610
Step-by-step explanation:
31 x 10= different flavour and topping combination
x2 = for the whipped cream different option
what id the limit of this function? f(x)=2x4+5x3−2x+12
Answers
Your math problem
(==)=24=+53−2+12
f(x)=2x^{4}+5x^{3}-2x+12
Find solutions on the
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
$0.55
$0.60
$0.70
$0.75
Answers
Answer:
0.60 cents
Step-by-step explanation:
Answer: 0.60
Step-by-step explanation:
Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number
Answers
Answer:
2(y-2) is greater then or equal to 16
Step-by-step explanation:
Which ordered pair is a solution of the equation?
y + x = 3(x – 4)
Answers
Miguel bought 8 equally priced pens for $3.84.
How much will 15 of these pens cost?
Answers
Answer:
$7.20
Step-by-step explanation:
If 8 pens cost $3.84, we need to find out how much ojne pen costs.
To find out the cost of one pen we need to divide $3.84 by 8.
$3.84 / 8 = $0.48
1 pen cost $0.48
We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.
$0.48 x 15 = $7.20
15 pens cost $7.20
Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.
Answers
Answer:
Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP
Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.
∴ AP=BP
In right ΔAPO we have
OA
2
=AP
2
+OP
2
⇒25−9=AP
2
⇒AP
2
=16⇒AP=4
Now AB=2,AP=2×4=8[∵AP=PB]
hence the length of the chord of the larger circle which touches the smaller circle is 8cm.
Step-by-step explanation:
Find the unit rate.
289 miles on 10 gallons
The unit rate is( )miles per gallon
Answers
Answer:
28.9 mpg
Step-by-step explanation:
Divide the miles by the gallons. 289 / 10 = 28.9
Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.
Answers
Answer:
Step-by-step explanation:
r = st------------Other correct expressions:
t = r/s
s = r/t
------------------
Choices
1) t = s/r No
2) t = rs No
3) s =r/t Yes
4) s = rt No
The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.
Given :
Equation is [tex](r = st)[/tex].
The following steps can be used in order to determine the equation that is equivalent to the given equation:
Step 1 - Write the given equation.
[tex]r = st[/tex] --- (1)
Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.
Step 3 - Now, divide 't' on both sides in the equation (1).
[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]
Therefore, the correct option is C).
For more information, refer to the link given below:
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Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answers
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!