Answers
[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]
[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]
➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]
➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Related Questions
what's the explicit formula for 5,10,15,20,25,30
Answers
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
What is the area? Bit confused on this one.
Answers
Answer:
x² + 8x + 12
Step-by-step explanation:
see
the length of the entire rectangle = x + 6
breadth of the entire rectangle = x + 2
area of a rectangle = length × breadth
= (x + 6)(x + 2)
= x² + 8x + 12
which is the required polynomial in standard form
Answer:
x^2 + 8x + 12
Step-by-step explanation:
length = x+6
breadth = x+2
ara of rectangle = l*b
=(x+6)(x+2)
=x(x+2) +6(x+2)
=x^2 + 2x + 6x +12
=x^2 + 8x +12
The variable 100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answers
Answer:
second option is correct
Anyone know the answer to this ??
Answers
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
Please help me!! I will mark you as BRAINLIEST ANSWER!
Which data set has high consistency and low variability? Why?
Answers
Answer:
I would say Group A
Step-by-step explanation:
There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.
15 cm
7.5cm
10 cm
5 cm
Answers
Answer:
7.5 = OM
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side / hypotenuse
sin 30 = OM / UN
sin 30 = OM / 15
15 sin 30 = OM
7.5 = OM
Please give real answers with explaination. 50 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
Step-by-step explanation:
That exterior angle is equal to the sum of the remote interiors, specifically:
2x + 3 = 45 + x + 8 and
x = 50
So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.
On a piece of paper, graph this system of equations. y=x-2. y= x2 - 6x + 8
Then determine which answer choice matches the graph you drew and identify the solutions to the system.
A. Solutions: (2,0) and (5, 3)
B. Solutions: (2,0) and (4,2)
C.Solutions: (-2,0) and (2,0)
D.Solutions: (2,0) and (3,-1)
Answers
The correct answer for the equation is: solutions (2,0) and (5,3).
According to the question, the expression can be simplified by substituting the values in the expression:
Therefore the required expression can be written as:
(x = 2; y = 0) and (x = 5; y = 3)
[tex]y = x-2 = 2-2 =0[/tex]
[tex]y = x-2 = 5-2 =3[/tex]
Both the solutions satisfied the given expression.
(x = 2; y = 0) and (x = 5; y = 3)
[tex]y=x^{2} -6x+ 8 = 4 -12+8=0[/tex]
[tex]y=x^{2} -6x+ 8 = 25 -30+8=3[/tex]
Both the solutions satisfied the given expression.
Hence, the correct answer for the equation is: solutions (2,0) and (5,3).
What is simplification?
The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
To learn more about the simplification from the given link:
brainly.com/question/432678
#SPJ1
Shem will select a letter at random from the word “PROBABILITY”. Japhet will select a letter at random from the word “STATISTICS”. Who is more likely to pick the letter “I”?
Answers
Answer:
The answer to this situation would be that Japhet will be most likely to pick the letter “I.”
Step-by-step explanation:
First, calculate how many letters each word has:
P R O B A B I L I T Y - 11 Letters
S T A T I S T I C S - 10 Letters
Next, calculate how many “I”'s each letter has:
"Probability" has two “I”'s.
"Statistics" has two “I”'s.
Finally, divide the amount of “I”'s in the word by it's letter count:
"PROBABILITY" - 2 “I”'s / 11 Letters ≈ 18%
"STATISTICS" - 2 “I”'s / 10 Letters = 20%
So, Japhet would have the better probability to choose the letter “I.”
Hope this helps!
Area of the base=
A) 8 pie square units
B) 16 pie square units
C) 64 pie square units
Answers
Answer:
16 pi
Step-by-step explanation:
The base is the circle
A = pi r^2
A = pi (4)^2
A = 16 pi
Answer: 16[tex]\pi[/tex] square units
Step-by-step explanation:
This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve
[tex]\pi 4^2\\\pi 16\\16\pi[/tex]
Identify the 3 terms by name: 5x2 - 7x + 2
Answers
Answer:
5x2-7x-1
Step-by-step explanation:
STEP1:Equation at the end of step 1
((5x2 - 7x) - 3) + 2
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 5x2-7x-1
The first term is, 5x2 its coefficient is 5 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 5 • -1 = -5
Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is -7 .
-5 + 1 = -4 -1 + 5 = 4
A piece of ribbon is cut into two pieces in the ratio 3:7. The length of the shorter piece is 45cm. Calculate the length in cm of the longer piece of ribbon.
Answers
Answer:
105 cm
Step-by-step explanation:
3/7 = 45/x
cross-multiply:
3x = 315
x = 105
1) The population of Leafy Lake starts at 3,000 and grows by 25% every year. What will the population be in 6 years?
how do I solve it
Answers
100x = 3,000x25
100x = 75,000
100x/100 = 75,000/100
X = 750
750x6 = 4,500
Every year the population goes up by 750, in 6 years the population would be 4,500 people.
Answer:
Step-by-step explanation:
Rate of increase = r = 25%
n = number of years = 6
P = Current population = 3000
Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]
[tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]
please help me with my question
Answers
Answer:
14.3%
Step-by-step explanation:
subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%
Answer:
14.28 %
Step-by-step explanation:
cost price of an umbrella = 280
selling price of an umbrella = 320
profit% = SP - CP / CP *100%
=320 - 280/280 * 100
=40/280 * 100
=4000/280
=14.28
ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?
Answers
Answer:
[tex]\approx 68\%[/tex]
Step-by-step explanation:
For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].
*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.
Answer:
68.26%Step-by-step explanation:
Given:
Mean μ = 5 inStandard deviation σ = 0.1 inThe squares between 4.9 and 5.1 represent:
x = 5 ± 0.1Relevant z- scores are:
z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1From the z-score table we get:
z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% markThe data between these points is:
84.13% - 15.87% = 68.26%Simplify fully
(x²+3)² - (x²-1)²
Answers
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Does anyone know the answer to this question ?
Answers
Answer:
12/25 = 48/100 = .48 = 48%
Step-by-step explanation:
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answers
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answers
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
help asap ---------------------------
Answers
Answer:
"D"
the start point is below zero and is doing deeper
Step-by-step explanation:
Evaluate expressions- if A=4 and B=9 what is the value of the following expression
20/a+7•b
A.28
B.33
C.68
D.108
Answers
Answer:
68
Step-by-step explanation:
just put the value of a and b in the expression and you will get the answer
20/a+7.b is
20/4+7×9
5+63
68
Answer:
C. 68
Step-by-step explanation:
Fill in your values.
20/ 4 + 7 x 9
Solve using PEMDAS.
5 + 7 x 9
5 + 63
68
B
47°
F
G
A
C
20
J
H Н
Answers
Answer:
umm, sorry! but what are you trying to ask??
9. Select all expressions that are
equivalent to 18a – 12.
2(9a - 6)
6(3a – 2)
-3(6a + 4)
3(6a + 4)
0 (
— 3(4 – 6а)
Answers
Answer:
Step-by-step explanation:
2(9a - 6) = 2*9a - 2*6 = 18a - 12
Yes, it is equivalent.
6*(3a-2) = 6*3a - 6*2 = 18a - 12
Yes, it is equivalent.
-3(6a+4)= -3*6a + 4*(-3) = -18a - 12
No, not equivalent
3(6a+4) = 3*6a + 3*4 = 18a + 12
No, not equivalent
-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12
Yes, it is equivalent.
Answer:
2(9a - 6), 6(3a – 2) and -3(4 – 6а)Step-by-step explanation:
2(9a - 6) = 2 × 9a + 2 × (-6)
= 18a - 12
6(3a - 2) = 6 × 3a + 6 × (-2)
= 18a - 12
- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)
= - 12 + 18a = 18a - 12
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answers
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answers
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
Natalie is flying a kite, holding her hands a distance of 2.5 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 30°. If the string from the kite to her hand is 95 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answers
Answer:
50
Step-by-step explanation:
trust me bro
The height of the kite is 47.5 feet.
Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.
Let h represent the height of the kite. Hence, using trigonometric ratios:
sin(30) = h / 95
h = 47.5 feet
Therefore the height of the kite is 47.5 feet.
Find out more at: https://brainly.com/question/20418073
Jay has a car worth $36,001. It is depreciating at a rate of 16% per year. How much will
it be worth in 3 years?
Answers
Answer:
$18,720.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Depreciation Formula: A = P(1 - rt)
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 36001
r = 16% = 0.16
t = 3
Step 2: Find Cost
Substitute in variables [Depreciation Formula]: A = 36001(1 - 0.16 · 3)(Parenthesis) Multiply: A = 36001(1 - 0.48)(Parenthesis) Subtract: A = 36001(0.52)Multiply: A = 18720.5set up an equation and solve for x! 25 points!
Answers
Answer:
7
Step-by-step explanation:
70+16x-2
68+16x=180
16x=180-112
x=112/16
x=7
Answer:
x = 7
Step-by-step explanation:
70 + 16x - 2 = 180 degree (being co interior angle)
68 + 16x = 180
16x = 180 - 68
16x = 112
x = 112/16
x = 7
Which expression is equivalent to
Answers
Answer:
The second one from the top
Step-by-step explanation:
x^(5/3) y^1/3)
Answer:
you can rewrite expressions, for example
[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]
so yeah, option b is correct
