Answer:
56
Step-by-step explanation: Use the values of a, b, and c to find the discriminant.
Answer:
[tex]\Delta =56[/tex]
Step-by-step explanation:
We are given:
[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]
So, a = 1, b = -8, and c = 2.
The discriminant (symbolized by Δ) is given by:
[tex]\Delta =b^2-4ac[/tex]
So, our discriminant in this case will be:
[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]
Since our discriminant is a positive value, our equation has two real roots.
4 cups to 8 pints write each ratio in simplest form
Answer:
1:4
Step-by-step explanation:
Convert 8 pints into cups which we can do this by 8x2=16 we can do this because 1 pint=2 cups. So know we have 4:16 which we can simplify to 1:4
Hope this helps :)
80% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answer:20%
Step-by-step explanation:
Answer: 20%
Step-by-step explanation:
A cellular phone network uses towers to
transmit calls. If the equation of the circular area
transmits by the tower is represented by (x-5)2 +
ly-1)2 = 22. Can you identify if you are inside or
outside of the circular area, if your coordinate
location is (6,0)? How about if your location is
(8,2)?
Answer:
Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.
[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].
[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].
Step-by-step explanation:
Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].
Compare this expression with the one from this question:
[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].
Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].
Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].
A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.
Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:
[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].
The square of the Euclidean distance between these two points would be:
[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].
Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].
[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].
The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.
Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].
[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].
The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.
Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.
On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].
Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].
What is 1/3+1/6 I thought it was 36 but my teacher said no so can you help me because I don’t under stand this work pls help I need it now
Answer:
1/2
Step-by-step explanation:
Given the mathematical expression;
[tex] \frac {1}{3} + \frac{1}{6} = 0 [/tex]
First of all, we would determine the lowest common multiple for 3 and 6.
Lcm = 6
[tex] \frac {1}{3} + \frac{1}{6} = \frac {2 + 1}{6} [/tex]
[tex] \frac {2 + 1}{6} = \frac {3}{6} [/tex]
[tex] \frac {3}{6} = \frac {1}{2} [/tex]
Therefore, 1/3 + 1/6 = 1/2
The table shows the number of markers in different numbers of boxes.
Answer: 12
Step-by-step explanation: 12+12 = 24 + 12 = 36+12=48+12=60
Triangle EFG is dilated by a scale factor of į to form triangle E'F'G'. What is the
measure of side FG?
PLZ ANSWER THESE QUESTIONS IF YOU KNOW ALGEBRA PLZ PLZ PLZ PLZZZZZZZZZZZZ I WILL GIVE BRAINLY AND ALL MY POINTS PLZZ HELP ME
I AM A YOU TUBER I WILL CHEAT IF I HAVE TO
Answer:
Algebra (from Arabic: الجبر al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.
Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.
The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.
A mathematician who does research in algebra is called an algebraist.
3 1/2 + 8 3/4 + 7 5/12 + 1 1/5 =
Answer:
25 3/5
Step-by-step explanation:
i think
Answer:
7/2+35/4+89/12+6/5=210+525+445+72/60=1252/60=313/15
Step-by-step explanation:
12. Ryan deposited $3,500 in a savings account with
an interest rate of 3% per year. How much simple
interest will he earn in 4 years?
What are possible name(s) for the y-coordinate?
A domain
B range
C dependent variable
D independent variable
E input
F output
Answer:
D. cmdjjcmcjdkxjjskxkxmjxjxkxjmxjddkkxxkxjjsikskkkxksk
Answer:
B. Range C. Dependent Variable F. Output
Step-by-step explanation:
Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
Answer:
[tex]2x^2-6[/tex]
Step-by-step explanation:
If a quadratic equation has a root at a certain point, the x value must equal. zero. If we want to have the function reach 6 and -6 as roots:
x = 6
x - 6 = 0
x = -6
x + 6 = 0
Combining the two we get (x+6)(x-6) which will give us a quadratic equation.
Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]
The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]
To make an international telephone call, you need the for the country you are calling. The codes for country A, country B, and C are three consecutive integers whose sum is 90. Find the code for each country.
Answer: 3 consecutive integers
x = 1st integer (country A)
x + 1 = 2nd integer (country B)
x + 2 = 3rd integer (country C)
whose sum is 114
x + (x + 1) + (x + 2) = 114...combine like terms
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111/3
x = 37 <== country A
x + 1 = 37 + 1 = 38 <==country B
x + 2 = 37 + 2 = 39 <== country C
Step-by-step explanation:
Answer:
29, 30, 31
Step-by-step explanation:
(x) + (x+1) + (x + 2) = 90
3x + 3 = 90
x = 29
(29) + (30) + (31) = 90
What is arctan(−1)?
Negative StartFraction 3 pi Over 4 EndFraction
Negative StartFraction pi Over 4 EndFraction
StartFraction pi Over 4 EndFraction
StartFraction 3 pi Over 4 EndFraction
Answer: -pi/4 and 3pi/4
Step-by-step explanation:
Whenever you're given an inverse trig function like this, think "tangent of what gives me -1?" There are multiple ways in which you can solve this; knowing how tangent work, guess checking sin/cos to get -1, or using a calculator. The only way tangent can be an integer is if the sine and cosine of the angle are equal.
The only spots on the pi circle where this happens is pi/4, 3pi/4, 5pi/4, and 7pi/4. Answers B and D are correct
Answer:
b
Step-by-step explanation:
just did it on edg 2020
an = n2- 5
A) {1, -4, 4, 11, 116...}
B) {1, 2, 3, 4, 5, 6, ...}
C) { -4, 11, 116, 13451,...}
D) { -4, -1, 4, 11, 20,...}
Answer:
D
Step-by-step explanation:
if to substitute values of n=1;2;3;4;5 into
[tex]a_n=n^2-5[/tex]
then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.
It means the answer {-4, -1, 4, 11, 20,...} is correct.
helppp!! For the given solid figure, find the value of the variable.
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The Pythagorean theorem tells you the hypotenuse is ...
c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2
c = √(100 cm^2) = 10 cm
The value of c is 10 cm.
_____
You may recognize these numbers as double those of a 3-4-5 right triangle.
$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If the total interest at the end of 1 year was $1750, how much money was borrowed from each source?
9514 1404 393
Answer:
$9,000 at 15%$4,000 at 10%Step-by-step explanation:
Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...
0.15(x) + 0.10(13000 -x) = 1750
0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300
x = 450(20) = 9000 . . . . . . . . . . multiply by 20
$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.
hellppppppooooooppppppppppp
Answer:
A
hope i helped
Convert the fraction to a decimal 5/15
Pls help I’ll brainlest
Answer:
8
Step-by-step explanation:
Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?
To find our answer, we can solve the equation:
20x + 60 = 220
-60 -60
20x = 160
/20 /20
x = 8
Jeremiah bought 8 toy sets!
I hope this helps :)
19. Eight hot dogs at the baseball park cost $28.
How much does one hot dog cost?
(let h = price of one hot dog)
Answer:
h= $3.50
Step-by-step explanation:
28 / 8 =
2/3-5/9 find each difference
Answer:
1/9
Step-by-step explanation:
6-5/9
1/9
Answer:
2/3=6/9 (Equilising denominators using lcm)
Now we have equal denominators, so can subtract.
Therefore,
6/9-5/9
=6-5/9
=1/9
The cookie recipe had the ratio of oatmeal to raisins as 5 to 1. If 6 cups of oatmeal is required, how
many cups of raisins are needed?
Answer:
1.2 cups of raisins or 1 and 1/5 cups of raisins. (Same thing) :)
Step-by-step explanation:
6/5 is 1.2. So multiply the 1 by 1.2 as well to get 1.2. This was solved by using proportions.
Hope it helps!
PLZ help me with this question
Answer:
A
Step-by-step explanation:
:))
Lara buys bananas for $0.59 per pound. Which expression represents the cost of p pounds of bananas?
1/3x = 6
solve equation mentally
Answer:
x=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Which ordered pair is a solution of y > 2x - 3?
a. (-1, -5)
b. (1, -5)
c. (2, 3)
d. (2, -2)
1) x² + x + 3 = 0 use the discriminant to tell whether the equation has two solution
Answer:
The equation does not have any real solutions.
The equation only has two imaginary solutions.
Step-by-step explanation:
Step 1
Use Discriminant to check how many solutions does the equation have.[tex] \large{D = {b}^{2} - 4ac}[/tex]
Let a = 1, b = 1 and c = 3 from the given equation.
[tex]D = {(1)}^{2} - 4(1)(3) \\ D = 1 - 12 \\ D = - 11[/tex]
Since the value of D is in negative. Therefore, the equation does not have any solutions.
Discriminant
[tex]D > 0 \longrightarrow \sf{two \: \: real \: \: solutions} \\ D = 0 \longrightarrow \sf{one \: \: real \: \: solution} \\ D < 0 \longrightarrow \sf{two \: \: imaginary \: \: solutions} [/tex]
PLEASE HELP
What was similar about Venice and Naples during the Renaissance?
Both were major port cities.
Both were home to the Medici.
Both were weapons-manufacturing cities.
Both were connected to Asian land routes.
Answer:
Both were major port cities. (A)
Step-by-step explanation:
Answer:
The correct answer is A. Both were major port cities
Step-by-step explanation:
I am 100% sure
You are making peanut butter and jelly sandwiches. The cost of 4 containers of peanut butter and 7 containers of jelly is $6.95. Eight containers of peanut butter and 6 containers of jelly cost $8.45. Find the cost of each container of peanut butter.
HELPP ME
PLEASEEEEEEEHEHASHEJ
HELPPP
Answer:
peanut butter cost $0.55
Step-by-step explanation:
j=jelly
p=peanut butter
4p+7j=$6.95
8p+6j=$8.45
solve for p:
8p=8.45-6j
p=(8.45-6j)/8
substitute for p
4(8.45-6j)/8+7j=6.95
reduce
(33.8-24j)/8+7j=6.95
4.225-3j+7j=6.95
4j=6.95-4.225
4j=2.725
j=0.68125
8p+6(0.68125)=8.45
8p+4.0875=8.45
8p=4.3625
p=0.5453
what is the additive inverse of the complex number -8+3i
Answer:
8-3i
Step-by-step explanation:
additive inverse of a+bi is -(a+bi)
so -(-8+3i) -- distribute negative through ()
8-3i