Answer:
x = 6
x = 0
As shown, there are 2 values for x. The question is why, which we will go over in the explanation part.Step-by-step explanation:
identify the coefficients
[tex]9x^2-54x=0\\a=9\\b=-54\\c=0[/tex]
coefficient a = 1
[tex]9x^2-54x=0\\9/9x^2-54x/9=0/9\\x^2-6x=0\\\rightarrow a=1\\\rightarrow b=-6\\\rightarrow c=0[/tex]
complete the square
[tex]b=-6\\(\frac{b}{2})^2=(\frac{-6}{2})^2\\(\frac{x}{y})^2=\frac{x^2}{y^2}\\=(\frac{-6}{2})^2=\frac{-6^2}{2^2}\\\frac{-6^2}{2^2}=\frac{36}{4}\\36 \div 4=9\\\\\downarrow\\\\x^2-6x=0\\x^2-6x+9=0+9\\x^2-6x+9=9\\\frac{b}{2}\\\frac{b}{2}=\frac{-6}{2}\\\frac{b}{2}=\frac{\left(-3\cdot 2\right)}{\left(1\cdot 2\right)}\\\frac{b}{2}=-3\\x^2-6x+9=9\\(x-3)^2=9\\[/tex]
solve for x
[tex](x-3)^2=9\\\sqrt{(x-3)^2}=\sqrt{9}\\x-3=+-\sqrt{9}\\x-3+3=3+-\sqrt{9}\\x=3+-\sqrt{9}\\x=3+-3\\x_1=6\\x_2=0[/tex]
≡ In the end, you have 2 values for x, because you can either subtract 3 by 3 or add 3 by 3 to get six or zero.
!!20 POINTS AND BRAINLIEST!!! HELP ASAP!!!
How much ribbon would be needed to go around a package that had a length 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3 centimeters?
(show work)
Answer:
23cm
Step-by-step explanation:
If you multiply like terms you will get the answers. Then you add last to get 23cm
The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.
How much ribbon would be needed to go around the package in centimeters is to be determined.
Perimeter is the measure of the figure on its circumference.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Quantity of ribbon = perimeter of the rectangular package
= 2 * length + 2* width
= 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
= 2 (3x^2 + 2x -10) / (x^2 + x - 3)
Thus, the required length of ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
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You toss a coin and roll a number cube. The table shows the sample space,
where H means heads, T means tails, and the numbers represent the number
cube roll?
What is the probability of tossing heads and rolling a number less than 3?
A.1/4
B.1/3
C.1/6
D.1/2
Please help me on this and answer quickly if you get it correct and I’ll give brainlist if you don’t I won’t give brainlist but hurry please!!
Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:
C. 1/6
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:
p = 2/12 = 1/6.
Which means that option C is correct.
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Help please with problem 2 I will mark brainliest
Answer:
During the rapid diagnostic test of coronavirus among 250 people 96% were found negative .how many people were found negative
Fill in the missing number in this sequence:
{ } 45, 15, 5
Answer:
135
Step-by-step explanation:
every njmber is divided by 3
If 135 is divised by 3 it becomes 45
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to fill in the missing number in the following sequence:
[tex]\pmb{(~~~),45,15,5}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Look at the common ratio.Since every number here is divided by 3, the common ratio is 3.
To find the missing number, we should multiply 45 times the common ratio, 3:
[tex]\star~\mathrm{\overline{\underline{\overline{\underline{135}}}}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers.
From simplification of the given algebra, the correct answers are as shown below.
How to solve algebra problems?1) (a² - b)/(a³b²)
This reduces to;
(a²/(a³b²)) - b/(a³b²)
⇒ a/(ab²) - 1/(a³b)
2) The algebraic expression is;
(b - a)/a³b³
⇒ b/a³b³ - a/a³b³
⇒ 1/a³b² - 1/a²b³
3) The algebraic expression is;
(2 - ab²)/(a²b³)
⇒ (2/(a²b³)) - (ab²)/(a²b³)
⇒ 2/(a²b³)) - 1/(ab)
4) The algebraic expression is;
(2 - ab²)/(a²b³)
⇒ 2/(a²b³) - 1/ab
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What is the value of x?
2
3
6
7
Answer: 2
Step-by-step explanation:
DE * CE = AE * BE (Two Secants Segment Theorem)
▪︎ DE = 1 + x + 4
▪︎ CE = x + 4
▪︎ AE = 11 + x + 1
▪︎ BE = x + 1
=> (1 + x + 4)(x + 4) = (11 + x + 1)(x + 1)
=> (x + 5)(x+4) = (x + 12)(x + 1)
=> x^2 + 9x + 20 = x^2 + 13x + 12
=> 9x + 20 = 13x + 12
20 - 12 = 13x - 9x
8 = 4x
x = 2
can someone help me on this question?
Answer:
first line: 0, 4
explanation: middle of -12 and 12 is 0, then 12/3 = 4
second line: -9, 6
explanation: split into 4 sections per each 12 so 12/4 is 3 and the location of the first unknown point is one section away from 12 so we know the distance between there is 3, leaving -12+3 = -9. Then two sections less than 12 is 12-6 = 6
third line: -12, 4
explanation: 24/6 = 4, -24 + 12 = -12 so 4 units each sections 0 + 4 = 4
At a local college, an admissions officer surveys the incoming class of 1,000 first-year students concerning their preference of major. the officer randomly selects 100 of them and asks if they intend to major in liberal arts. of the 100 first-year students, 62 state they intend on majoring in liberal arts. assuming the conditions for inference have been met, what is the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts? 0.38 plus-or-minus 1.96 startroot startfraction 0.38 (1 minus 0.38) over 100 endfraction endroot 0.62 plus-or-minus 1.96 startroot startfraction 0.62 (1 minus 0.62) over 100 endfraction endroot 0.38 plus-or-minus 1.65 startroot startfraction 0.38 (1 minus 0.38) over 1000 endfraction endroot 0.62 plus-or-minus 1.65 startroot startfraction 0.62 (1 minus 0.62) over 1000 endfraction endroot
The 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is option B. 0.62 plus-or-minus 1.96 start root start fraction 0.62 (1 minus 0.62) over 100 end fraction end root .
What is Confidence Interval?Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.
Confidence interval for the population proportion can be calculated as,
p ± z × [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
Here, p is the sample proportion and n is the sample size.
z value for 95% confidence interval is 1.96.
Here, n = 100,
p = [tex]\frac{62}{100}[/tex] = 0.62
Substituting the values, confidence interval of true proportion is,
0.62 ± 1.96 × [tex]\sqrt{\frac{0.62(1-0.62)}{100} }[/tex]
Hence the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is 0.62 ± 1.96 × [tex]\sqrt{\frac{0.62(1-0.62)}{100} }[/tex].
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What is the area, in square feet, of the isosceles trapezoid below?
Answer:
A≈78.54
Step-by-step explanation:
A¹=7.7×6.6=50.82(area of rectangle inside)
16.1-7.7=8.4/2=4.2
A²=6.6×4.2=27.72(area of triangles)
A=50.82+27.72=78.54
1. if axb = 0 then either a or b or both must equal....
Solve for x, if 4x - 24 = 1 000.
Solve for x, if 7x = 343.
Solve for x, if x4 = 4 096.
Answer with step-by-step explanation:
1) 4x - 24 = 1000
Add 24 to both sides.
4x = 1024
Divide both sides by 4.
x = 256
2) 7x = 343
Divide both sides by 7.
x = 49
3) x⁴ = 4096
Find 4th root of both sides.
x = 8
Find the derivative of 1/√s+2
Using the quotient rule, it is found that the derivative of the function is given as follows:
[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}[/tex]
What is the derivative of a quotient?Suppose a quotient function defined as follows:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
Then, the derivative is given by:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this problem, we have that:
g(x) = 1.g'(x) = 0.[tex]h(x) = \sqrt{s} + 2[/tex].[tex]h^{\prime}(x) = \frac{1}{2\sqrt{s}}[/tex]Then, since g'(x) = 0, the derivative is given by:
[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}[/tex]
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Brent sells an avarage of 52 pot holders each week. about how many pot holders does he sell in 58 weeks.
The amount of pot holders Brent sold for 58 weeks is 3016
How to find the amount of pot holders Brent sold?He sells 52 pot holders each week.
This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:
1 week = 52 pot holders
58 weeks = ?
cross multiply
number of pot sold for 58 weeks = 58 × 52
number of pot sold for 58 weeks = 3016
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What is 6x-6x56 =?
Show all work.
Answer:
6x-6x56 =-2016
Step-by-step explanation:
You have to subtract, then multiply by 56 to get -2016, as it shows a negative.
Gavin has nickels, dimes, and quarters in the ratio of 1:3:6.If 57of Gavin’s coins are dimes , how many nickels and quarters does he have?
Answer:
19 nickels, 57 dimes, and 114 quarters
Step-by-step explanation:
57/3 = 19
1 × 19 = 19
3 × 19 = 57
6 × 19 = 114
may someone help me with this question? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:3(3x + 5)[/tex]
now plug in the value of x as 5
[tex]\qquad \sf \dashrightarrow \:3(3(5) + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:3(15 + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:3(20)[/tex]
[tex]\qquad \sf \dashrightarrow \:60 \: [/tex]
So, the equivalent value is 60
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
c. diameter
because when a line intersects the center and even touches the centre is called a diameter
hope it helps.
Answer:
C
Step-by-step explanation:
Diameter
Mr. Fishie bought a tank for $15 and 10 fish which cost $f each. If he gave the cashier two 20-dollar bills, what was his change in terms of f?
Answer:
$25 - $10f
Step-by-step explanation:
Fishie's name is fishy.
We know Mr. Fishie spent $15 on a tank. His 10 fish cost 10*$f. His total is:
Total =15 + 10*f
His change after 2 $20 would be:
$40 - ($15 - $10f), or
$25 - $10f
The perimeter of the rectangle is 146 units. what is the length of the longer side? 14 units 28 units 33 units 45 units
Answer:
45
Step-by-step explanation:
perimeter is the sum of all sides
for rectangle, it's (length + width) x 2
so do the reverse: 146/ 2 = l + w
73-45 = 30 this means the longer side is 45
=> length is 45
Answer:c
Step-by-step explanation:just took the test
|-2x +7| = 25 Find the values for x 12 and 8 12 and 8 6 and 18 6 and 18 -9 and 16 -9 and 16 - 7 and 12
Answer:
x = -9 and 16
Step-by-step explanation:
1. Separate in two cases:
(a) -2x + 7 = 25 and (b) -2x + 7 = -25
(a) -2x + 7 = 25 ⇒ subtract 7 from both sides
-2x = 18 ⇒ divide both sides by -2
x = -9
(b) -2x + 7 = -25 ⇒ subtract 7 to both sides
-2x = -32 ⇒ divide both sides by -2
x = 16
Solutions: x = -9, 16
Hope this helps!
The value of the expression -a -bl when a = 7
and b = -3
Answer:
Option 1 -----> -10
Step-by-step explanation:
Substitute a and b into the equation :
-{a-b} =
-{7-(-3)} =
-{7+3} =
-{10} =
-10 ---> Option 1
Hoep this helped and brainliest please
there are 6 members of a board of supervisors for a park district they need to form a subcommittee of 3 people to study expanding a park how many different committees could be formed from the members
Mike purchased a vehicle for Rs 59425 and spent Rs 8652 on repairs. How much did the vehicle cost him?
Answer:
68077
Step-by-step explanation:
he had spent 68077 because by 59425+8652 makes 68077
The charge for renting a hedge trimmer is $10 plus $5 per day the total for renting a trimmer was $85. Which equation can you use to find the number of days the trimmer was rented? Please help !!!!
Answer:
15days.
Step-by-step explanation:
total amount=$85
renting amount=$10
amount per day=$5
to find the number of days the trimmer was rented it will be;
total amount-renting amount ÷$5
$85-$10÷$5
$75÷$5
=15days
HELP ME AND ANSWER BOTH PARTS PLEASE!
What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
Can * x ^ 2 + 25 be factored using a difference of two squares?
No it can't be factored , whenever there is addition between two squares , the expression can't be factored
Which two shapes make up the first split of quadrilaterals on the quadrilateral hierarchy?
1. kite and square
2. square and rectangle
3. trapezoid and square
4. trapezoid and kite
Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy
What is a quadrilateral?A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are square, kite, trapezoid, rectangle, rhombus and so on.
A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.
Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy
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What would the answer be?
Answer:
C
Step-by-step explanation:
since ∠ m ≅ ∠ p , then
9x - 2 = 4x + 18 ( subtract 4x from both sides )
5x - 2 = 18 ( add 2 to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
then
∠ p = 4x + 8 = 4(4) + 18 = 16 + 18 = 34°
The Transamerica Pyramid Building in San Francisco is 853 ft tall with a square base that is 149 ft on each side.
To the nearest thousand cubic feet, what is the volume of the Transamerica Pyramid?