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Question 2 of 10
What is the first step in solving a quadratic equation of the form given below?
(ax + b)2 = 0
A. Take the square root of both sides
B. Factor out a common factor
C. Divide both sides by c
D. Use the zero product rule
SUBMIT
Step-by-step explanation:
a.
(ax + b)² = 0
√( (ax + b)² )= √0
ax + b = 0
dont know the rest
User=2 anor=5 to determine if the two expressions
are equivalent
1+2+)-12 8+2-6
Complete the statements
When r=2 the first expression is
When r=2 the second expression is 6
When r=5, the first expression is 21
When r=5. the second expression is
The expressions are not equivalent
Answer:
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2
Jessica has 300 cm³ of material. She uses 12.6 cm³ to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 3. How much more material does Jessica need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jessica needs an additional Choose... cm³ of material to make the second prism.
Jessica needs another 52.8 cm^3 of material to make the other prism.
How much material will she use?For a right triangular prism of base B, height H, and length L, the volume is:
V = (1/2)*B*L*H
Now, we know that the first triangle has a volume of 12.6cm^3, then we can write:
V = 12.6cm^3 = (1/2)*B*L*H
If we dilate the prism with a scale factor of 3, the new dimensions are:
B' = 3B
L' = 3L
H' = 3H
Then the new volume is:
V' = (1/2)*(3B)*(3L)*(3H) = 27*(1/2)*B*L*H
And (1/2)*B*L*H is the original volume, so we can write:
V' = 27*V = 27*(12.6cm^3) = 340.2 cm^3
And she has 300cm^3 and she used 12.6cm^3, so the amount of material that she has left is:
M = 300 cm^3 - 12.6 cm^3 = 287.4 cm^3
Then the amount of material that she needs is:
340.2 cm^3 - 287.4 cm^3 = 52.8 cm^3
So Jessica needs another 52.8 cm^3 of material to make the other prism.
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Fill in the sentence below with the description that most specifically applies to the quadrilateral below.
Answer:
Square, because the lengths are the same number and the area will never change no matter which two sides you use.
The answer to the given problem can be stated as, "The quadrilateral is most specifically a square because all of its sides are equal and angles are right angle."
What is a square?A square is type of rectangle of which all sides are equal.
The diagonals of a square are perpendicular bisector of each other.
The given diagram of the quadrilateral clearly shows the following information,
All the angles of the quadrilateral are equal to right angle,
And, all of its sides are equal.
The given information matches with the property of a square which implies that the given quadrilateral is a square.
Hence, the given quadrilateral is a square.
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NO LINKS!!! Part 7: Please help me with this problem
Apply law of cosines
[tex]\\ \rm\longmapsto c^2=a^2+b^2-2abcos\gamma[/tex]
[tex]\\ \rm\longmapsto c^2=150^2+35^2-2(150)(35)cos110[/tex]
[tex]\\ \rm\longmapsto c^2=22500+1225-10500(-0.34)[/tex]
[tex]\\ \rm\longmapsto c^2=23725+3570[/tex]
[tex]\\ \rm\longmapsto c^2=27295[/tex]
[tex]\\ \rm\longmapsto c=165.2yd[/tex]
Answer:
165 yd (nearest yard)
Step-by-step explanation:
To calculate the distance from the ball to the center of the green, we need to use the cosine rule:
[tex]c^2=a^2+b^2-2ab \cos (C)[/tex]
where:
C is the anglea and b are the sides adjacent to the angle Cc is the side opposite the angle CTherefore, for this triangle:
a = 35 ydb = 150 ydC = 110°Substituting these values into the cosine rule formula:
[tex]\implies c^2=35^2+150^2-2(35)(150) \cos (110\textdegree)[/tex]
[tex]\implies c^2=23725-10500\cos(110\textdegree)[/tex]
[tex]\implies c=\sqrt{23725-10500 \cos(110\textdegree)}[/tex]
[tex]\implies c=165.2761674...[/tex]
[tex]\implies c = 165 \textsf{ yd (nearest yard)}[/tex]
A grocery store clerk put only packages of Takis and packages of Flamas on a shelf. The ratio of the number of packages of Flamas to the total number of packages on the shelf was 9 to 16.
Which number could be the number of packages of Takis the clerk put on the shelf?
Answer:
5 packages of Takis
Step-by-step explanation:
The total number packages that were placed on the shelf were 16 packages. The total number of packages of Flamas that were placed on the shelf were 9 packages. So to identify the number of packages of Takis the clerk put on the shelf, we simply do
16-9=5
Give an equation in standard form for a line which is perpendicular to -2x + 3y = 7 and has a y intercept of -3.
Answer:
y=-3/2x-3
Step-by-step explanation:
For perpendicular lines,the product of their slopes is -1 this m1•m2=-1
For the given line 3y=7+2x
y=7/3+⅔x,the slope is ⅔
For the unknown line since the y-intercept is -3 then y=mx-3
compare the slopes of both lines
m•⅔=-1
m=-3/2
hence the the perpendicular line has the equation
y=-3/2x-3
Mathematics help ...
no links
Step-by-step explanation:
The first one is [tex]6 \frac{1}{2} [/tex]
2nd is [tex]6 \frac{5}{8} [/tex]
3rd is [tex]6 \frac{3}{4} [/tex]
Page 16 of 24 NQF 1 (AET LEVEL 4); MATHEMATICAL LITERACY - SITE-BASED ASSESSMENT - LEARNER'S GUIDE When Stanley was born he weighed more than 25% of other boy babies, placing him on the (3.1.1)______ percentile. We were a little worried but when he weighed____ (3.1.2)___/ kg eight months later, placing him on the 50th percentile, we felt much better. Over the next 3.1.3____1_months he gained even more weight. He was 24,5 lb (pounds) and 25% of boys his age weighed more than him. By the time Stanley was one year and nine months old he weighed 31 lb. He had gained 3.1.4_____ Three months after his second birthday he was 15.1 kg. He was then placed on the 3.1.5____ percentile, which means he now weighed more than 3.1.6_____ percent of other boys his age. He was a very healthy toddler.
Answer:
i don't know i can't read it please writ properly
In 2010, the population of a city was 108,000. From 2010 to 2015, the
population grew by 7.7%. From 2015 to 2020, it fell by 6.1%. To the nearest
100 people, what was the population in 2020?
Answer:
109,200 people
Step-by-step explanation:
First change all the percentages into decimals. Then multiply 108,000 by 1.077, because it is 7.7% of the population, while also including the original population. The product of this is 116,316. Then, if you want to find the percent decrease, it would be something out of 100, so 100-6.1=93.9. Changing that into decimal form, 0.939, and multiplying it by 116,316, you get 109,220, which rounds to 109,200.
Answer:
109200
Step-by-step explanation:
Please help!!!!!!!!!!!!
help I need the answer now :(
Answer:
E, F, A, ED, BC, EF, ABC, EDF
Step-by-step explanation:
The angle and side markings show which segments and angles are congruent.
We can make a table of corresponding pairs based on the number of marks:
marks, angle, side
A and E, DF and BCB and D, ED and ABC and F, EF and AC__
This can help us fill in the question numbers:
∠E is congruent to ∠A∠F is congruent to ∠C∠A is congruent to ∠EED is congruent to ABBC is congruent to DFEF is congruent to AC8. ΔABC ≅ ΔEDFPLEASE SHOW HOW YOU GOT THE ANSWERS THANK YOU!
GIVING BRAINLIEST!!
Answer:
a) 13 m
b) 0.4 mm
Step-by-step explanation:
side length = x, area = x²
a) x² = 169, x = √169 = 13 m
b) x² = 0.16, x = √0.16 = 0.4 mm
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Maggie can do a job in 15 hours less than Ryan can. If they work together they can get the job done in 10 hours. How long would it take cach to do the job alone?
Maggie can do the job in
hours
Ryan can do the job in
hours
Answer:
Maggie = 15 hours
Ryan = 30 hours
Step-by-step explanation:
let x - time it takes Ryan to do the job alone.
x-15 - time it takes Maggie to do the job alone
[tex] \frac{10}{x} + \frac{10}{x - 15} = 1 \\ \\ \frac{10(x - 5) + 10x}{x(x - 15)} = 1[/tex]
[tex]10x - 150 + 10x = x {}^{2} - 15x \\ \\ 20x - 150 = x {}^{2} - 15x \\ \\ x {}^{2} - 15x - 20x + 150 = 0 \\ \\ x {}^{2} - 35x + 150 = 0 \\ \\ (x - 30)(x - 5) = 0 \\ \\ x = 30 \: and \: x - 15 = 15[/tex]
x = 5 --> not valid because x-15 will be NEGATIVE
Therfore,
Maggie can do the job in 15 hours.
Ryan can do the job in 30 hours.
HELP 100 POINTS ASAP !!!!
Answer:
3/2
Step-by-step explanation:
The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.
The scale factor of the result will be the product of the dilation factors:
(3)(1/2) = 3/2
The scale factor of the transformation is 3/2.
Answer:
3/2
Step-by-step explanation:
The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.
The scale factor of the result will be the product of the dilation factors:
(3)(1/2) = 3/2
The scale factor of the transformation is 3/2.
What is (f-g)(x)?
F(x)=3x5+6x2-5
G(x)=3x5-5x4+3x2-15
What is (f•g)(x)?
F(x)=x3-4x+2
G(x)=x2-6
The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10.
The resulting function is (f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5.
How to apply subtraction between two functionsLet be [tex]f(x)[/tex] and [tex]g(x)[/tex] polynomial functions, the subtraction between between the two functions implies the subtraction of similar terms. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the subtraction between the two functions:
[tex](f-g)(x) = (3\cdot x^{5}+6\cdot x^{2}-5)-(3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)[/tex]
[tex](f-g)(x) = 5\cdot x^{4}+3\cdot x^{2}+10[/tex]
The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10. [tex]\blacksquare[/tex]
How to apply composition between two functionsThe composition between two functions, the independent variable of the former function by the latter function. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the composition between the two functions:
[tex]f\,\circ\,g\,(x) = 3\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{5}+6\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{2}-5[/tex]
(f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5. [tex]\blacksquare[/tex]
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choose one helpppppppppppppppppppppp
Answer:
∠ EFA
Step-by-step explanation:
complementary angles sum to 90°
∠ EFA and ∠ EFA form a right angle ad sum to 90°
find the sum (6a)/(a^(2)-6a+9)+(9)/(a^(2)-2a-3)
Answer:
Step-by-step explanation:
[tex]\frac{6a}{a^2-6a+9}}+\frac{9}{a^2-2a-3)}\\\\=\frac{6a}{(a-3)^2}+\frac{9}{(a-3)(a+1)}\\\\\\[/tex]
[tex]=\frac{6a(a+1)+9(a-3)}{(a-3)^2(a+1)}\\\\=\frac{6a^2+6a+9a-27}{(a-3)^2(a+1)}\\[/tex]
[tex]=\frac{6a^2+15a-27}{(a-3)^2(a+1)}\\\\=\frac{3(2a^2+5a-9)}{(a-3)^2(a+1)}[/tex]
The ratio of girls to boys in the grade
is 6 to 8. If there are 120 girls, how many
boys are there?
Answer:
160
Step-by-step explanation:
The total number of girls in grade is = 120
the ratio of girls to boys is 6/8
Let the number of boys be x
[tex]\frac{6}{8} = \frac{120}{x}[/tex]
6 x = 120 x 8 = 960
x = 960/6
x = 160
Number of boys in grade = 160
Hope it helps!!!Brainliest pls!!!!!!Alejandro bought a bond with a face value of $5,000. The term of the bond is 2 years. He bought the bond at a 4 percent discount from the face value. The bond pays 4 percent annual interest, and Alejandro will receive four semiannual payments. When the bond is redeemed at maturity, the total return (profit) will be $______.00. The total return on investment will be _____%. (Round return on investment percentage to one decimal place.)
1. When the bond is redeemed at maturity, the total return (profit) for Alejandro will be $600.00.
2. The total return on investment will be 12.5%.
What is the return on investment?The return on investment is a profitability measure that shows the rate of an investment's profit versus the cost.
The return on investment can be computed by subtracting the initial investment cost from the terminal value of the investment, then dividing the net return by the initial investment cost, then multiplying it by 100.
Data and Calculations:Face value of bond = $5,000
Price paid for bond = $4,800 ($5,000 x 96%)
Bond discount = $200 ($5,000 x 4%)
Maturity period = 2 years
Interest rate = 4%
Semi-annual interest receipts = $100 ($5,000 x 4% x 1.2)
Total interest receipts = $400 ($100 x 4)
Total return (profit) from the bond = $600 ($400 + $200)
Total return on investment = 12.5% ($600/$4,800 x 100)
Thus, the bond investment yields $600 at the end of the maturity period, which is 12.5% of the initial investment.
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Help!!!! I don't know how to do this stuff..
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The y - intercept of the shown line on the graph is -4
Y - intercept is the " y - coordinate of the point on line when it cuts the y - axis "
Zeke bought 10 shares of a company’s stock at a price of $21.20 per share. He now sees that the price per share of his investment is $32. His broker informs him that the price of the shares may see a decline in the future.
Zeke should ideally
the assets because he stands to earn a profit of
per share from the transactio
Answer:
Sell, 10.80
Step-by-step explanation:
PLATO Users be like
What fractions represents the shaded boxes?
Answer:
7/10 is the fraction that Represents the shaded boxes.
I think it will help you.
Answer:
7/10
Step-by-step explanation:
A grid shows the positions of a subway stop and your house. The subway stop is located at (0,-1), and your house is located at (-7,-4). What is the distance, to the nearest unit, between your house and the subway stop?
Answer:
Distance between (-7, 8) and (6, 4)
= √ [ (4-8)^2 + (6-(-7))^2 ]
= √ [ (-4)^2 + (13)^2 ]
= √ [ 16 + 169 ]
= √ [ 185 ]
= 13.60
which is 14 units
Step-by-step explanation:
Brainiest?
Help with graphing rational functions
The population of a a city increases by 0.5% per year if this years population 201,000 what will next year’s population be to the nearest individual
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &201000\\ r=rate\to 0.5\%\to \frac{0.5}{100}\dotfill &0.005\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=201000(1 + 0.005)^{1}\implies A=201000(1.005)\implies A=202005[/tex]
What is the solution set of x/4 less than or equal to 9/x
Answer: x≤-6 or 0<x≤6.Option D.
Step-by-step explanation:
Given:
Subtract from both sides,
0
Simplifying by taking common denominator:
0
Factoring numerator:
0
Computing the signs and selecting that one satisfies ≤ 0:
x≤ -6,0<x≤6.
Option D is the right answer.
Una persona que se dirige desde su casa hasta el colmado hay una longitud de 10 metros , luego la persona regresa a su casa que desplazamiento y distancia usted recorre?
Veremos que la distancia total recorrida es de 20 metros, y el desplazamiento es de 0 metros.
¿Cuanto es el desplazamiento?
Definimos el desplazamiento como la diferencia entre la posición final y la inicial. En este caso sabemos que la persona comienza en su casa, luego va al colmado, y luego regresa a su casa.
Entonces la posicion inicial y la final son la misma, por lo que concluimos que el desplazamiento es 0.
¿Cuanta distancia se recorre?La distancia total recorrida será igual a dos veces la distancia entre la casa y el colmado.
Esta distancia es 10 metros, entonces la distancia recorrida es:
distancia = 2*10m = 20m
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Triangle FGH is formed by connecting the midpoints of the side of triangle CDE. The measures of the interior angles of triangle CDE are shown. Find the measure of
Answer: 6
Step-by-step explanation:
i got the same question.
dog weighs 20% more than it did three months ago. It
weighs 36 pounds now.
How much did the dog weigh three months
Answer:
weight dog trhee monts ago is 28.i pounds
Step-by-step explanation:
Percentage:
20% × 36 =
20/100 × 36720/1007.2 poundsWeight dog trhee months ago:
36 pounds - 7.2 poundz28.8 pounds