Answer:
One solution
Step-by-step explanation:
Discriminant
[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]
[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]
[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]
Given equation:
[tex]-8x^2-8x-2=0[/tex]
Swap sides:
[tex]\implies 8x^2+8x+2=0[/tex]
Using discriminant:
[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]
Therefore, there is one solution
--------------------------------------------------------------------------------------------
Proof
[tex]8x^2+8x+2=0[/tex]
Divide both sides by 2:
[tex]\implies 4x^2+4x+1=0[/tex]
Separate the middle term:
[tex]\implies 4x^2+2x+2x+1=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (2x+1)(2x+1)=0[/tex]
Therefore:
[tex]\implies 2x+1=0[/tex]
[tex]\implies x=-\dfrac12[/tex]
Thus proving there is one solution.
Here
a=-8b=-8c=-2Discriminate
D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0Roots are equal hence one solution
10, 3, 17, 1, 8, 6, 12,
Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38. if the broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, which aspect of josef’s investment in dowc beverage co. has a greater percent yield, and how much greater is it? a. the stocks have a yield 2.15 percentage points higher than that of the bonds. b. the stocks have a yield 0.27 percentage points higher than that of the bonds. c. the bonds have a yield 1.35 percentage points higher than that of the stocks. d. the bonds have a yield 2.08 percentage points higher than that of the stocks.
Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
The investment of Josef are,
Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. Josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38.The broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold.
At the bond value 1.35 percentage higher than the stock gives will give him greater percent yield among all the options.
Thus, the Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.
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What is the value of x?
Enter your answer in the box.
units
Answer:
x=27
Step-by-step explanation:
the attached photo might help you
I wasn't sure if it was 180 so I decided to post it
Answer:
25
Step-by-step explanation:
These angles are supplementary, or add up to = 180 degrees:
(2x + 10) + (4x + 20) = 180
6x + 30 = 180
6x = 150
x = 25
Let's check our work:
2(25) + 10 = 60
4(25) + 20 = 120
60 + 120 = 180 degrees :)
Good luck!
Answer:
x = 25
Step-by-step explanation:
[tex](2x+10)+(4x+20)=180^{o}[/tex]
[tex]6x+30=180[/tex]
[tex]6x=180-30[/tex]
[tex]6x=150[/tex]
[tex]x=150/6[/tex]
[tex]x=25[/tex]
Hope this helps
The sum of two numbers are 21the second number is six times the first numberwhat are the two numbers
Answer:
3+18=21
Step-by-step explanation:
first see the second number
let us assume as x & y
3+ (3×6)= 21
3+18=21Step-by-step explanation:
Answer:
3+18
Step-by-step explanation:
3x6 is 18, so 18 is 6 times the first number. If you add 3 and 18, its equal to 21.
Under his cell phone plan, Adrian pays a flat cost of $59.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine x x, the number of gigabytes Adrian can use while staying within his budget.
The cell phone plan is an illustration of a linear inequality
Adrian gigabyte usage must be less than 2.1 to spend under $70.
How to determine the number of gigabytes within budget?The given parameters are:
Base cost = $59.50
Rate = $5 per gigabyte
Let the number of gigabyte be x.
So, the total amount is:
Total = 59.50 + 5x
Adrian wants to spend under $70.
So, we have:
59.50 + 5x < 70
Evaluate the like terms
5x < 10.5
Divide both sides by 5
x < 2.1
Hence, the number of gigabyte must be less than 2.1
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Thirty percent of what number is 123?
The answer is 410
Hope this helps!!
Answer:
30% also means 30/100 in fraction form.
(Think of the root 'per' in percent to be per a 100.)
The keyword 'of' means multiplication.
'X' will be the unknown number aka the part that says ('-what number').
And 123 will represent the result.
Set up equation;
30/100 · x = 123Then solve for x;
30/100x = 1230.3x = 123÷ 0.3 ÷ 0.3x = 410So your answer is 410.
1 A 600g packet of chocolate coffee beans cost $ l2 much is this per 100g?
Answer:
$ 2 per 100g,
Step-by-step explanation:
100g = 1/6 of 600g so:
Cost per 100g = 12 * 1/6
= $ 2.
Answer:
$2
Step-by-step explanation:
12 divided by 6
5cm
6cm
8cm
What is the perimeter of the following
Answer:
19cm
Step-by-step explanation:
lets assume its a triangle
perimeter = 5cm + 6cm +8cm
ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D
Answer:
B
Step-by-step explanation:
Add the value of the dots
0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8
Solve x2 14x = −24 by completing the square. what is the solution set of the equation?
Answer:
(-12, -2)
Step-by-step explanation:
Rearrange the equation --> x^2 + 14x + 24 = 0
Split 14x into 12x + 2x --> x^2 + 12x + 2x + 24 = 0
Group --> x(x + 12) + 2(x + 12) = 0, (x + 12)(x + 2) = 0
Find roots:
x + 12 = 0, x = -12
x + 2 = 0, x = -2
The solution of the given expression [tex]\rm x^{2} +14x = -24\\[/tex] by completing the square method is 12 and -2.
The given expression is
[tex]\rm x^{2} +14x = -24\\[/tex]
What is completing the square method?In completing the square, we take half of the coefficient of the middle term and then square it. Then we add it to both sides of the equation
Here coefficient of middle term x is +14.
So, 14/2 = 7
square of 7 is 49
[tex]\rm x^{2} +14x +49= -24+49\\\rm (x+7) (x+7)=25\\\rm (x+7)^{2} =5^{2} \\\rm x+7 =5[/tex]
x+7 = 5 and x+7 = -5
Solve for x by subtracting 7 on both sides
x = -2 and x= -12
Solution set is {-12, -2}
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On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded. A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario? The pool is 1 meter deep. The pool is 2 meters deep. The toy falls at a rate of at least a Negative one-half meter per second. The toy sinks at a rate of no more than a Negative one-half meter per second
y≥x-2
x+2y⊂4
hoping that your answer
A T-shirt company wants to make at least $1,000 during a weekend and they sell $10 and $20 shirts. They want to sell at least 60 shirts. What are the vertices of the feasible region? Select all that apply.
Answer:
90 if I am wrong sorry I have a hard time with math
Sasha is making custom designs using these small trapezoidal prisms. She wants to cover each of the 8 prisms in her current design in striped cloth on all sides. She has 3500 square centimeters of striped cloth.
Does Sasha have enough cloth to cover all 8 prisms in her current design?
Choose from the drop-down menus to correctly complete the statement.
The combined surface area of the prisms is cm², therefore Sasha have enough cloth for her current design.
Combined surface area for the 8 prisms is: 3,040 square centimeters.
3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.
What is the Surface Area of a Trapezoidal Prism?Surface area = (b1 + b2)h + PH
Given the following dimensions:
b1 = 5 cmb2 = 15 cmHeight of trapezium (h) = 7 cmPerimeter of trapezium (P) = 15 + 10 + 10 + 5 = 40 cmHeight of prism (H) = 6 cmPlug in the values into SA = (b1 + b2)h + PH:
Surface area = (5 + 15)7 + (40)(6)
Surface area = 380 sq. cm.
Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.
3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.
Learn more about surface area of trapezoidal prism on:
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Answer:
The combined surface area of the prisms is 3040 cm², therefore Sasha does have enough cloth for her current design.
Step-by-step explanation:
7 + 6 = 13 (Length + Height)
13 x 5 = 65 side a (h + l)
15 x 13 = 195 side b (h+l)
10 x 6 = 60 side c x length
10 x 6 = 60 side d x length
All of the above added together is 380, one trapezoidal prism.
380 x 8 = 3040
I also did the quiz.
The expression 2(x2 - 4) – (x2 - 8x + 12) is equivalent to
-
A.
x2 - 8x + 4
B.
x2 + 8x - 4
С.
x2
- 8x + 20
D.
x2 + 8x - 20
Answer:
D
Step-by-step explanation:
Please explain someone!!!
Answer: 1 and 2
Step-by-step explanation: 1 and 2 because if you are graphing this the formula to find the slope / the line is y = x + some number. In the formula x is how much the line goes from the x axis and the number is how much it is from the y axis. On #2 the problem is 3y = 2x + 4 so to follow the formula you need to divide both sides by 3 to get y = 2/3x + 4. For #3 you do the same thing to get y = -3/2x -5. Finally for #1 the equation is 2x + 3y = 7 so to get the slope / line you need to put x on the other side so now it is 3y = 7-2x then you divide both sides by 3 and get y = -2/3x + 7 and on 1 and 2 there x is 2/3 (the negative doesn't matter and the random number) so they are parallel.
What is the missing value in this calculation?
2/13+ ?/13=6/13
Answer:
? = 4
Step-by-step explanation:
2/13 + ?/13 = 6/13 (Given)
-2/13 -2/13 (Isolate the unknown through subtraction)
?/13 = 6/13 - 2/13
?/13 = 4/13 (Combine like terms)
? = 4
Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.
Puzzle in the picture. explain how you did it, the answer should be 23.
Answer:
Bro you have got the answer as 17 I don't know how
Step-by-step explanation:
Please mark me as brainliest
2.56x+0.14-187x
How to solve pls and answer
Mabel's Pizza sells pizza by the slice for lunch. Today, there are 82 slices ready for lunch, including 16 slices of pepperoni pizza.
What is the probability that a randomly selected slice will be a slice of pepperoni pizza?
Write your answer as a fraction or whole number.
Answer:
19.51% or 8/41
Step-by-step explanation:
for the percentage i did :
82 divided by 100, multiplied by 16.
For the fraction:
original number(16/82) divided by 2
Which of the following is not a congruence transformation?
A. Rotating
B. Translating
C. Stretching
[tex]\bold{Heya!}[/tex]
Your answer to this is :
C. Stretching.→ Explanation:-
Because the other one is congruent together.
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Answer:
I believe your answer is C. Stretching.
Step-by-step explanation:
When you rotate an object your keeping its congruence the same or keeping the shape the same size, while rotating it around a point, same goes for Translating, with translating, your just moving an image from its starting point, also having it keep the same congruence, but with stretching, you are distorting the shape making it bigger/smaller than the original shape so it looses its congruence making it no longer congruent.
Find the surface area of a rectangular prism that has the following dimensions.
length: 4.5 in.
width: 6 in.
height: 12 in.
surface area = in^2
The expression for the total surface area of rectangle was used, with all values rightly plugged in, the total surface area is 306 in^2
Surface area of SolidsGiven Data
Length = 4.5 inchWidth = 6 inchHeight = 12 inchWe know that the expression used in finding the surface area is given as
Surface area of rectangular prism =2(wl+hl+hw)
Substituting our given data into the formula we have
=2(6*4.5+12*4.5+12*6)
=2(27+54+72)
=2(153)
= 306 in^2
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Answer:
306
Step-by-step explanation:
I didn't know till I saw the other persons answer. Please give them branliest.
What is 2x+3+8x=3x+9x+7
Answer:
x=-2
Step-by-step explanation:
Hey there!
In order to solve this equation, you need to combine like terms
The equation after combining the x terms and the contants will look like this
10x+3=12x+7
Now you have to take 10x away from both sides
3=2x+7
Now bring all the constants to the left side
3-7=2x
Simplify
-4=2x
divide 2 on both sides to get x by itself
x=-2
So, the answer is x=-2
0.4 divided by 29 equally is?
Answer:
72.5 (Not rounded)
Hope this helps!
9. A man bought a calculator for Rs 1450 and sold at a loss of 12% Find the loss amount Hi. Find the selling price of the calculator.
Loss amount:-
12% of 14500.12(1450)₹174Hence
Selling price:-
Price-loss1450-174₹1276Answer:
1276 rupees
Step-by-step explanation:
Given
Price = 1450Loss % = 12%Solving
Selling price = 1450 x (100 - 12%) [as it a loss]1450 x 88%1450 x 0.881276 rupeeshelp me please please with all of them
Step-by-step explanation:
for question one the answer is the intial area of fire
2. is the decay factor
3. 38400
4. the initial population
Area of composite shapes
The following shape has 1 pair of
parallel sides.
7
2
7
8
*
-
-
-
3
What is the area of the shape?
CI
units?
Answer: 76
Step-by-step explanation:
The area of the given composite figure is 76 square units.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The given composite figure has three parts, two triangles and one rectangle.
Area of small triangle = 1/2 ×8×2
= 8 square units
Area of large triangle = 1/2 ×8×3
= 12 square units
Area of rectangle = Length×Height
= 8×7
= 56 square units
Total area = 8+12+56
= 76 square units
Therefore, the area of the given composite figure is 76 square units.
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4. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a primary
school, and so on in an arithmetic sequence. What's the total amount of students in the primary school? (Primary
School has 6 grades)
Answer:
well jus subtract
Step-by-step explanation\
think about it
Answer:
The total amount of students in the primary school is 1,980.
Step-by-step explanation:
130, 210, 290, ......
210 - 130 = 80
The difference between each grade is 80 students.
(g = grade)
g1 = 130, g2 = 210, g3 = 290, g4 = 370, g5 = 450, g6 = 530
130+210+290+370+450+530 = 1980
When you are graphing a proportion or a percent, what should you look at to help you understand the bigger picture?.
Answer:
Or the rate of change. The percentage change.
Slope.
A full-length mirror cost $144.99 when the cpi was 163. what will a full-length mirror cost when the cpi is 211, to the nearest cent? a. $305.93 b. $214.59 c. $187.68 d. $88.95
The cost of a full-length mirror when the cpi is 211 is $187.68. Then the correct option is C.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A full-length mirror cost $144.99 when the cpi was 163.
The cost of a full-length mirror when the cpi is 211, to the nearest cent will be
[tex]\dfrac{x }{211} = \dfrac{144.99}{163}\\\\x \ \ \ = \$187.68[/tex]
More about the ratio and the proportion link is given below.
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