Solve the following problems using completing the Square
Martha and Miguel volunteered in a Tree Planting Program offered by the school. They also donated packs of seeds for the program. The number of Martha's seeds is represented as 2x-3 packs while Miguel's seeds is twice the number of Martha's seeds. If the product of Martha and Miguel's Pack of seed is 50, how many packs of seeds Martha and Miguel donated?
[Write it on paper please ]
Using factorization method to solve the quadratic equation, the number of seed Martha and Miguel donated are 5 and 10 respectively
What is Quadratic EquationA quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and x is an unknown variable. The solution to such an equation is a value of x that will make the equation true.
To determine the number of seeds they donated, we have to write two equations and solve.
data;
Martha = 2x - 3Miguel = 2[2x - 3] = 4x - 6The product of the seeds is (2x - 3)(4x - 6) = 8x² - 24x + 18
This can be written as
8x² - 24x + 18 = 50
Solving the quadratic equation;
8x² - 24x + 18 - 50 = 0
8x² - 24x - 32 = 0
Using factorization method;
8(x - 4)(x + 1) = 0
x - 4 = 0, x = 4
x + 1 = 0, x = -1
x = 4, x = -1
The number of packs Martha donated is
Martha = 2x - 3 = 2(4) - 3 = 5
The number of packs Miguel donated is
Miguel = 2 * 5 = 10
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How do you determine if the given point is a solution of each linear inequality?
To determine whether the point [tex](1,2)[/tex] is a solution of inequality [tex]3x - 2y - 6 > 0[/tex], we substitute the point in the inequality and if the result is True, then it will be the solution .
What is an Inequality ?
The Inequality is defined as a relationship between two expressions or values that are not equal to each other .
The inequality in the question is given as : [tex]3x - 2y - 6 > 0[/tex] ;
the point is ⇒ [tex](1,2)[/tex] ,
to check the solution , we substitute the values in the inequality as [tex]x=1[/tex]and [tex]y=2[/tex] ;
we get , [tex]3(1) -2(2) - 6 > 0[/tex]
= [tex]3-4-6 > 0[/tex]
= [tex]3-10 > 0[/tex]
= [tex]-7 > 0[/tex],
But we know that , [tex]-7 < 0[/tex] , So , the given point is not the solution of the given inequality .
The given question is incomplete , the complete question is
How do you determine if the given point (1,2) is a solution of each linear inequality 3x - 2y - 6 > 0 ?
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Celine flipped a coin 100 times. She flipped heads 41 times and tails 59 times. What is the experimental probability that the next flip will be heads? Write your answer in fraction, decimal, and percent.
Answer:
B . 1/2
Step-by-step explanation:
In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.
Find the sine pls help
Answer:
7/25 is correct answer dude
a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes?
work pls/ explain
Answer:
$68
Step-by-step explanation:
So, we will start off by putting our original price as a variable, x. Now, we will need an equation to show the relationship between the current price and three-fourths of the original price. The equation will look like this:
[tex]\frac{3}{4} x = 51[/tex]
Then, we will multiply both sides by 4 to get rid of the fraction, giving us:
3x = 204
Finally, we will divide by 3 to find the original price of the sneakers:
x = 68
So the pair of shoes originally cost $68.
Hope this helped!
Select two numbers that make the inequality true. 2x - 3 > 1
Answer:
3,4,5,6,..................any number bigger than 3 can be taken as the answer
Answer: 3 and 4
Step-by-step explanation:
2(3) - 3
6 - 3 = 3
3 > 1
2(4) - 3
8 - 3 = 5
5 > 1
Solve −1/5x=6 (probably very easy but I zoned out and missed a lot)
Answer:
-30
Step-by-step explanation:
-1x/5 = 6
-x/5 = 6
-x = 30
x = -30
5. What is the mean weekly salary at each company?
6. Four of the 5 employees at Company B each received a raise of $30. After the raises, how much greater is the mean salaries for company B than Company A? Explain how to slove the problem.
Answer: picture shown is not available
Step-by-step explanation:
In a certain year, 31% of adults in a certain country viewed college education as essential for success. For the following ten-year period, this percentage increased by approximately 2. 6 each year.
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by __
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.
What is the percentage function?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100. Example: 2/5 × 100 = 0.4 × 100 = 40 per cent.
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function:
P(x) = 31 + 2.6x
Where P(x) is the percentage of adults who viewed college education as essential for success x years after the first year, and x is the number of years after the first year.
The function shows that the percentage increase by 2.6 every year for x years after the first year, and the initial percentage is 31%.
This function is representing a linear trend since the coefficient of x is constant.
Hence, The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.
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17. Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be
tangent are tangent.
o
11
Find x. Round to the nearest tenth if necessary.
19
8
9
12
15
27
Answer:
x=19
Step-by-step explanation:
9*(9+15)=8*(8+x)
9*(24)=8(x+8)
216=8x+64
216-64=8x+64-64
152=8x
152/8=8x/8
19=x
x=19
A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages of 5 wheels can be made from the 30 wheels?
Answer:
Step-by-step explanation:
6
The number of packages of 5 wheels can be made from the 30 wheels is 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.
Now, number of packages of 5 wheels
= 30/5
= 6
Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.
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How do you describe similarity transformations?
A dilation or combination of stiff movements and dilations constitutes a similarity transformation.
Similar figures don't always have to have the same size but share the same form.
A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.
Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.
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The question is in the picture I would appreciate if you could explain how to get the answer thank you.
Answer: the cost for Internet increase by 5/4 per minute
Step-by-step explanation:
In AGHI, the measure of
G=76º, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
I. Direction: Write the following statement as equations. Write your answers
on a sheet of paper.
1. Four times a number minus twenty-nine is eleven.
2. The product of four less than thrice a number and two will result to forty-
six.
be
3. Three-fifths of a number plus eight is fifty.
II. Direction: Translate the following Algebraic expressions to word phrases.
Write your answers on a sheet of paper.
4.) 51 - (x+5)
5.) 3(y-8)
Answer:
1. 4x - 29=11
2. (3x - 4) (2) = 46
3. 3/5x + 8 = 50
4. The difference of 51 and the sum of x and 5.
5. The product of 3 and y minus eight.
Step-by-step explanation:
There are 342 employees at a work site. The ratio of women to men is 4 to 5. How many of the employees at this work site are women?
Pls help 1-6 example at the SIDE
The diameter of a circle is 34 inches.What is the area of the circle in square inches?Use 3.14 as pi
Answer: 907.46 inches squared
Step-by-step explanation:
The formula for the area of the circle is:
[tex]A = \pi r^{2}[/tex]
In this question, pi is 3.14. The radius of a circle is half of its diameter. So:
[tex]\frac{34}{2} =17[/tex]
Plug these values into the equation:
[tex]A = (3.14)(17)^2[/tex]
Simplify:
[tex]A = 907.46[/tex]
The area of the circle is 907.46 inches squared.
A four-part spinner is spun once.
List the sample space for the experiment.
S = {Q, R, R, T}
S = {Q, R, S, T}
S = {R, A, T}
S = {S, Q, Q}
The sample space for the experiment, S= {Q, R, S, T}.
What is Sample Space in an Experiment?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
From the Spinner we can see four portions as
Q(Orange)
R(Green)
S(Blue)
T(Purple)
So, if the spinner spined then it will point Q, R, S or T which is the Sample space for the Spinner.
Hence, the Sample space is {Q, R, S, T}.
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Answer: B: S = {Q, R, S, T}
Step-by-step explanation:
This is the only answer listed with the letters on the spinner.
consider the equations t(n)=2n-5 and f(x)=2x-5
Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.
Analyze the equation.A mathematical equation seems to be a formula that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific claim that confirms the equality two two mathematical abstractions is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the connection between the two syllables on either side of a letter. Frequently, the symbol and the single variable are the same.
Here,
f(x)=2x-5 and t(n)=2n-5 are given.
A) They both depict the sequence.
B) Unless the expression is undefined, the domain of both the expression seems to be all real numbers. In this instance, the phrase is defined despite the lack of a real number.
(−∞,∞) is an interval notation.
{x|x ∈ R} is the Set-Builder Notation.
Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.
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The diagram shows two proportional right triangles.
What is the perimeter of the larger triangle?
Answer:
48 units.
Step-by-step explanation:
Since the triangles are similar (proportional), their dimensions are increased at the same ratio at any point, which means their perimeter too. So the base of the larger triangle is twice as long as the base of the smaller triangle.
The perimeter of the smaller triangle is 10 + 6 + 8 = 24 units.
24 * 2 = 48. Because the ratio of increase is 2:1 from the bigger triangle to the smaller triangle.
Hope you could understand this,
A)Mark and Jada share 5 yards of ribbon equally. How much ribbon will each get
B)It takes half of a yard of ribbon to make a bow. How many bows can be made with 5 yards of ribbon?
Tiffany's mother bought a car for $9000 five years ago. She wants
to sell it to Tiffany based on a 15% annual rate of depreciation.
Answer:
I would say the answer would be 1350 because 15 percent of $9000 would be 1350
Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
1.73
Step-by-step explanation:
Arelli use 6.9 pints of white and blue paints for her bedroom
3/4 of this amount is white
3/4
= 0.75×100
= 75
100-75
= 25
Amount of blue paint is
25/100×6.9
= 0.25×6.9
= 1.73
Find the slope of the line that passes through (7, 1) and (2, 8).
Answer:
-7/5
Step-by-step explanation:
(1-8)/(7-2)= -7/5
Answer:-1.4
Step-by-step explanation: The slope or gradient is given by
Slope=y2-y1÷x2-x1.
From the problem
X1=7
Y1=1
X2=2
Y2=8
Thus we will have
Slope=(8-1)÷(2-7)
=7÷(-5)
=-1.4
Please answer with explanation
Answer:
(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−
4
1
)−12(−1)
2
]−5[24+2(−12)]
2
Do the arithmetic.
Calculate -1−1 to the power of 22 and get 11.
-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−
4
1
−12)−5(24+2(−12))
2
Subtract one term from another.
Subtract 1212 from -\frac{1}{4}−
4
1
to get -\frac{49}{4}−
4
49
.
-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−
4
49
)−5(24+2(−12))
2
Multiply two factors together.
Multiply -2−2 and -\frac{49}{4}−
4
49
to get \frac{49}{2}
2
49
.
\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}
2
49
−5(24+2(−12))
2
Multiply two factors together.
Multiply 22 and -12−12 to get -24−24.
\frac{49}{2}-5\left(24-24\right)^{2}
2
49
−5(24−24)
2
Subtract one term from another.
Subtract 2424 from 2424 to get 00.
\frac{49}{2}-5\times 0^{2}
2
49
−5×0
2
Multiply two factors together.
Multiply 55 and 00 to get 00.
\frac{49}{2}-0
2
49
−0
Add two terms together.
Subtract 00 from \frac{49}{2}
2
49
to get \frac{49}{2}
2
49
.
\frac{49}{2}
2
49
2
49
=24.5
(b)−a
2
b
2
−3a
3
b
2
a=−
3
1
b=−1
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Give an MN find the value of X and Y
9514 1404 393
Answer:
x = 21y = 114Step-by-step explanation:
Consecutive interior angles are supplementary:
(6x +6)° +(3x -15)° = 180°
9x -9 = 180 . . . . . . . . . . . . . . simplify, divide by °
x -1 = 20 . . . . . . . . . . . . divide by 9
x = 21
__
Angles of a linear pair are supplementary:
(3x -15)° +(y +18)° = 180°
3(21) -15 + y + 18 = 180 . . . . substitute for x, divide by °
y = 114 . . . . . . . . . . . . . . . . . . subtract 66
Urgent!!!
What is the missing angle?
Answer: all angles must ad up 20 180
Step-by-step explanation:
I looked it up
LORD SOMEONE please help me!! ASAP I will give brainiest! Fr
the public school enrollment of a city is 13,500. Enrollment is declining at a rate of 4.5% per year. predict the enrollment in 5 years.
Answer:
16537.5
Step-by-step explanation:
4.5% of 13500 = 607.5
607.5 x 5 = 3037.5
3037.5 + 13500 = 16537.5
฿₤₦
GIVING BRAINLIEST! HELP
Answer:
Its first option. bcz its doubled... right..