B.
Step-by-step explanation:[tex]x^2-8x+97=0[/tex]
[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4\times1\times97}}{2\times1}\left\{x=\left.\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}\right\}\right.[/tex]
[tex]=\frac{8\pm\sqrt{-324}}{2}[/tex]
[tex]=\frac{8\pm18i}{2}\left\{i^2\right.=-1\Longrightarrow\sqrt{-1}=\left.\ i\right\}[/tex]
[tex]\Rightarrow x_1=4-9i,x_2=4+9i[/tex]
[tex]\therefore Choose\ B.[/tex]
I hope this helps you
:)
What fraction shows what each person gets if 9 friends share 5 apples?
Answer: 5/9 of an apple
Step-by-step explanation:
Since there are more people than apples, you know that the aples are going to be cut and every person will get less than one apple. You just divide the 5 apples to the 9 people. The simple way is putting the numbers and making it a fraction. In this case, 5/9. 5 apples as the numerator and 9 people as the demoninator.
what is the color of the sky
Answer:
Step-by-step explanation:
Reflection of the ocean, blue
Translate the following:
“the square of the difference of six and a number, increased by two, is the same as negative 10”
The equation is (6 - x)² + 2 = -10.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
An absolute numerical number is referred to as a constant.
Variable: A symbol without a set value is referred to as a variable.
Given a phrase
“the square of the difference of six and a number, increased by two, is the same as negative 10”
the first part of phrase is,“the square of the difference of six and a number"
let the number be x
(6 - x)²
increased by 2
(6 - x)² + 2
is the same as negative 10
(6 - x)² + 2 = -10
Hence the equation is (6 - x)² + 2 = -10.
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Help help ASAP help help
To answer wait you put into the big, it would be .28 since when making a percentage a decimal you move the decimal point to the left twice. There is always an invisible decimal after a whole number (ex. 28.0). And to find out what 28% of 140 is you simply do .28 x 140 to find that, which is 39.2.
Hope this helps!
Write 640 : 60 in the lowest form
Answer:
32 : 3
Step-by-step explanation:
Answer- 32 : 3
Divide Both Sides By 20
Mrs. Terneus owns a breakfast
restaurant. On Saturday, she
served (124 people, and Sunday she
serves 238 people. If every person
eats 2 eggs. How many eggs does
she use?
hil
5 Lian put $3,500 into an investment
account that pays 2% interest compounded
annually. If she makes no additional
deposits or withdrawals, which amount is
closest to the total interest Lian will earn on
this investment at the end of 5 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]
1. The sum of Teresa's and Cathy's weight is
118 pounds. Teresa weighs 26 pounds more
than Cathy. If Teresa's weight is T and Cathy's
weight is C, which of these systems of
equations best represents this relationship?
A) T+C = 118
T= 26
B) T+C = 118
T +26=C
C) T+C=64
T-C= 26
D) T=C + 118
T=C+26
E) None of the above
Answer:
d
Step-by-step explanation:
E is ththe answer
the first equation should be T + C = 118 and the second equation should be C + 26 = T
none of these equations are correct
What is the quotient? X-3 divided by 4x squared + 3x + 2
Answer:
4x+15
Step-by-step explanation:
divisor- x-3
dividend-4x^2+3x+2
to find the quotient,
dividend=(disivor X quotient)+ Reminder
4x^2+3x+2=(x-3 x 4x) + (15x+2)
4x^2 +3x+2= (x-3 x 4x + 15) + (47)
so the quotient would be 4x+15
The cost of a mathematics textbook is 25 dollars.
A school gets a 15% discount because it buys 60 books
Calculate the total reduction in price.
Can somebody solve the equation just put the answer
Answer:
Whats the equation ?
Step-by-step explanation:
.
Answer the question for 20 points
Answer:
nahh its says 10 points
Step-by-step explanation:
Answer:
idek wut that means but it says 10 not 20
I will give Brainliest!!!
A collenge student takes out a $7500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe after 2 years, if the bank charges 3.8% interest each year?
Answer:
$7897.5
Step-by-step explanation:
..............
Find the area of the figure.EXPlAIN THE STEPS!!!!
Answer:
30.56 yd²
Step-by-step explanation:
To determine the area of the composite shape, we need to:
Divide the shape into two smaller "known" shapes (Refer to image). Determine the area of those "known" shapes. Add the area of the known shapes to obtain the area of the figure.Determining the area of shape 1 (Rectangle 1):
⇒ Area of rectangle = Lenght × Breadth
⇒ = 2.1 × 4.8
⇒ = 10.08 yd²
Determining the area of shape 2 (Rectangle 2):
⇒ Area of rectangle = Lenght × Breadth
⇒ = 6.4 × 3.2
⇒ = 20.48 yd²
Determining the area of the figure:
⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2
⇒ = 10.08 + 20.48
⇒ = 30.56 yd²
Solve for X: Correctly answer the question
Answer:
x=16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(8+24) * 8 = x^2
32*8 = x^2
256 =x^2
Take the square root of each side
sqrt(256) = sqrt(x^2)
16 = x
∠A and \angle B∠B are supplementary angles. If m\angle A=(6x+10)^{\circ}∠A=(6x+10)
∘
and m\angle B=(4x+30)^{\circ}∠B=(4x+30)
∘
, then find the measure of \angle B∠B.
If u give answer ill give 100 points NOT FAKE PLS I NEED HELP
Answer:
86 Degrees
Step-by-step explanation:
First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.
As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.
Now we are given two equations for the measure of each angle.
measure of A = 6x+10
measure of B = 4x+30
We simply plug this into the first equation I've stated above.
6x+10 + 4x+30 = 180
Simplify
10x+40 = 180
10x = 140
x = 14
Now that we have X, we plug this into the measure B equation to get the measure.
4x + 30
(Plug 14)
4(14) + 30
56 + 30
86 Degrees
Jessica is working on a craft project for school. She is using 2 pieces of ribbon. She has 1/8 of a yard of blue ribbon and 3/4 of a yard of red ribbon. Plot the amount of each ribbon she has on a number line.
Please answer this question fast!! xx
Answer:
So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)
What are the zeros of this function?
5
O A. x = 0 and x = 2
O B. x = 0 and x = -4
O c. x= 0 and x = 4
O D. x = 2 and x = -4
THANK YOU
Answer:
the answer is x=0 and x=4
For the functions h(x) = -2x + 4 and g(x) =4-x/2, find:
a. h(g(6))
b. g(h(-4))
c. Does it appear that h and g are inverses of each other? Explain.
what is equivalent to sin10cos25-cos10sin25
Answer:
- 0.2588
Step-by-step explanation:
Theory: sin(a - b) = sin(a)*cos(b) - cos(a)*sin(b)
In this case a stands for 10 AND b stands for 25
Hence:
sin10cos25-cos10sin25 = sin (10 - 25) = sin (-15) = - sin(15) = - 0.2588
Find the next term of the following sequence.
9, 6, 4, …
Answer:
3
Step-by-step explanation:
9 - 3 = 6,
6 - 2 = 4,
4 - 1 = 3
Write the expanded notation for 2,846.079. State the letter of the correct answer.
Answer:
2000+800+40+6+0.07+0.009
Step-by-step explanation:
Maybe?
The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
We have to write the expanded notation for 2,846.079.
The expanded form of the given term is;
2,846.079 = 2000+800+40+6+0.07+0.009
Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)
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Kate did a survey to find the average hand span of the students in her class. She asked the following question:
What is the hand span of each student in the class?
Is Kate's question a statistical question, and why or why not?
Yes, because it asks a question that can be answered correctly
Yes, because it anticipates variability in students' hand spans
No, because it does not ask a question that can be answered correctly
No, because it does not anticipate variability in students' hand spans
PLEASE HELP ME WITH THIS!!!
Answer:
D
Step-by-step explanation:
Its saying a line which is not two lines. Parallel lines contain 2 lines not 1.
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.
A retailer’s gross margin on a $150 item is $40. Calculate GMC as a percentage.
The gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
Given that:
The cost of the considered item = $150The gross margin of retailer on that item = $40Here we assume that the term GMC is referring to gross margin cost.
Let this gross margin cost (GMC) $40 be P% of the original cost of the item $150.
Then, we get:
[tex]p = \dfrac{40}{150} \times 100 \approx 26.67 \text{(in percentage)}[/tex]
Thus, the gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.
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Help help help math math
Answer: b. x>5
Step-by-step explanation:
A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
Radius = 8in
Step-by-step explanation:
[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]
Where,
v = 3014.4h = 15π = 3.14⇢ 3014.4 = (3.14)(r²)(15)
⇢ 3014.4 = (r²)(47.1)
⇢ 3014.4 = 47.1r²
⇢ 3014.4/47.1 = 47.1r²/47.1
⇢ 64 = r²
⇢ r = √64
⇢ r = 8
[tex] \therefore [/tex] The value of radius is 8 inches
Help me with this question please anybody
Answer:
x = 19
Step-by-step explanation:
The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.
x-coefficient: -1/3
inverse of x-coefficient = 1/(-1/3) = -3
Then you have ...
[tex]-3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}[/tex]
12+ b/6 = 16 what is the variable?
Answer:
[tex]b = 24[/tex]
Step-by-step explanation:
Step 1: Subtract 12 from both sides
[tex]\frac{b}{6} + 12 - 12 = 16 - 12[/tex]
[tex]\frac{b}{6} = 4[/tex]
Step 2: Multiply both sides by 6
[tex]\frac{b}{6} * 6 = 4 * 6[/tex]
[tex]b = 24[/tex]
Answer: [tex]b = 24[/tex]