Step-by-step explanation:
the domain = {-3, -1, 2}
_____
The domain, as a set in increasing order, will be {-3, -1, 2}.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs shown below.
{(-3, 2), (-1, 0), (-3, 5), (2, -3)}
Then the domain, as a set in increasing order, will be
⇒ {-3, -1, 2}
More about the domain and range link is given below.
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Consider the polynomial 16x2 – 1.
What is the value of ac?
What is the value of b?
What two numbers multiply to get ac and add to get b?
The factored form of 16x2 – 1 is
9514 1404 393
Answer:
ac = -16b = 0-4, 4(4x -1)(4x +1)Step-by-step explanation:
a) ac is the product of the leading coefficient (16) and the constant (-1).
ac = (16)(-1) = -16
__
b) b is the coefficient of x. There is no x term, so ...
b = 0
__
c) Two factors that add to give zero must be opposites. That is, they must be the square root of the opposite of -16, and the opposite of that.
the two numbers are -4 and 4
__
d) The factored form for the two numbers p and q just found is ...
ax^2 +bx +c = (ax +p)(ax +q)/a
= (16x -4)(16x +4)/16
= (4x -1)(4x +1) . . . . factored form of 16x^2 -1
Answer:
Consider the polynomial 16x2 – 1.
*) What is the value of ac?
–16
**) What is the value of b?
0
***) What two numbers multiply to get ac and add to get b?
–4 and 4
****) The factored form of 16x2 – 1 is
(4x– 1)(4x+ 1)
.
Step-by-step explanation:
Edge 2021
which of the following is equivalent to 2 stretching below? (14-9i)+(2+3i)..
Answer:
(14-9i)+(2+3i) = 16-6i
Step-by-step explanation:
We need to find the equivalent of (14-9i)+(2+3i).
We need to add the two expressions.
(14-9i)+(2+3i) = 14+2 -9i+3i
= 16-6i
Here, the real part is 16
The imaginary part is -6
Hence, the required answer is equal to 16-6i.
A couple purchased a home and signed a mortgage contract for $900,000 to be paid with half-yearly payments over a 25-year period. The interest rate applicable is j2=5.5% p.a applicable for the first five years, with the condition that the interest rate will be increased by 12% every 5 years for the remaining term of the loan.
a) Calculate the half-yearly payment required for each five-year interval
Did you manage to solve it?
C Clodi Que Significan las siglas SGR?
Answer:
Es el acronimo de la (Contraloría General de la República
Step-by-step explanation:
Espero ayudarte suerte
Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.
When looking at y = mx + b, y = b and x =a, explain how:
(a) Changing m affects the line.
(b) Changing b affects the line.
y varies inversely as x. y=3 when x=10. Use the variation constant and inverse variation equation to find y when x=6.
Do not type y= in your answer.
Answer:
5
Step-by-step explanation:
Given :
Y α 1/x
Y = k/x
Where, k = constant of proportionality ;
y = 3 ; x = 10
3 = k / 10
k = 10 * 3
k = 30
Equation becomes :
Y = 30/x
Y =? ; when x = 6
Y = 30 / 6
Y = 5
I need help with this
Answer:
Step-by-step explanation:
It was confusing
HELP PLSSS I WILL GIVE YOU BRAINLYEST
i suck at math this is easy
OPTION C is the correct answer.
(2 1
2
-
4
-
5
) ÷
3
-
4
Answer:
[tex]63\frac{6}{9}[/tex]
Step-by-step explanation:
[tex](212-4-5)[/tex] ÷ [tex]3-4=[/tex]
[tex]203[/tex] ÷ [tex]3-4=[/tex]
[tex]67\frac{6}{9}-4=[/tex]
[tex]=63\frac{6}{9}[/tex]
Hope this helps
Which of the following statements represents a correct relationship?
300 < 30
547 > 574
20,007 < 20,070
6,050 = 6,060
Three rectangular prisms each have a height of 1 cm.
. Prism A has a base that is 1 cm by 11 cm
* Prism B has a base that is 2 cm by 7 cm SA +V
Prism C has a base that is 3 cm by 5 cm.
1. Find the surface area and volume of each prism. Use the dot paper to draw the prisms, if needed.
Answer:
A: SA = 46 cm^2; V = 11 cm^3
B: SA = 46 cm^2; V = 14 cm^3
C: SA = 46 cm^2; V = 15 cm^3
Step-by-step explanation:
SA = 2B + PH = 2LW + PH
where SA = total surface area,
B = area of a base
P = perimeter of the base
H = height of the prism
L = length of the base
W = width of the base
V = LWH
Prism A:
SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)
SA = 46 cm^2
V = (11 cm)(1 cm)(1 cm) = 11 cm^3
Prism B:
SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)
SA = 46 cm^2
V = (7 cm)(2 cm)(1 cm) = 14 cm^3
Prism C:
SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)
SA = 46 cm^2
V = (5 cm)(3 cm)(1 cm) = 15 cm^3
Find the limit of the function algebraically. Lim=-5 x^2-25/x+5
Answer:
[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5}[/tex]
Step 2: Evaluate
Factor: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = \lim_{x \to 5} \frac{(x - 5)(x + 5)}{x + 5}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = \lim_{x \to 5} x - 5[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 5 - 5[/tex]Simplify: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
needed help here
1. If m angle 2 =58°and m angle 3 =52° then m angle 4=_
2. If m angle 4 =125°and m angle 2 =64° then m angle 3=_
3. If m angle 3 =50°and m angle 5=108° then m angle 1=_
4. If m angle 1=53° and m angle 3 =88° then m angle 5=_
5. If m angle 6 =125°and m angle 1=
59° then m angle 2=_
The 8th term of an arithmetic sequence is 3 and the 100th term is 49. What is the recursive formula for the sequence?
Answer:
uₙ₊₁ = uₙ + ¹/₂
Step-by-step explanation:
uₙ₊₁ = uₙ + d
u₈ = 3
u₁₀₀ = 49
We can establish the following:
u₉ = 3 + d
u₁₀ = (3 + d) + d = 3 + 2d
u₁₁ = (3 + 2d) + d = 3 + 3d
so...
u₈₊ₐ = 3 + ad
u₁₀₀ = u₈₊₉₂ = 3 + 92d
3 + 92d = 49
92d = 46
d = ¹/₂
∴ uₙ₊₁ = uₙ + ¹/₂
Free question answer for points. If its correct ill mark brainliest
Answer:
[tex]14. \\841\rightarrow 800\\\\15.\\750[/tex]
Step-by-step explanation:
14:
Round the highest place means keeping the farther non-zero digit to the left, then rounding. Therefore, there should only be one non-zero digit in our final answer. The only answer choice that follows this and correctly rounds is [tex]\boxed{841\rightarrow 800}[/tex]
15:
There are 30 days in November. Therefore, the number of pages typed is equal to [tex]30\cdot 25=\boxed{750}[/tex]
Answer:
.
Step-by-step explanation:
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
sin x = a/b
cos x = c/b
tan x = a/c
Answer:
sin x = a/b
cos x = c/b
tan x = a/c
Step-by-step explanation:
We know,
sin(θ) = Opposite / Hypotenusecos(θ) = Adjacent / Hypotenusetan(θ) = Opposite / AdjacentSo, in this right triangle, the opposite is a
" hypotenuse is b
" adjacent is c
So, sin x = a/b
cos x = c/b
tan x = a/c
Find the area of a triangle ABC when measure B = 56 degrees, a = 10 inches, and c = 7 inches.
Find the distance between a point (–7, –19) and a horizontal line at y = 3.
A researcher is investigating whether a difference exists in the mean weight of green-striped watermelons grown on two different farms: one that uses organic methods and one that uses nonorganic methods. The mean and standard deviation of the weights in a random sample of 43 watermelons from the organic farm were 18 pounds and 2 pounds, respectively. The mean and standard deviation of the weights in a random sample of 40 watermelons from the nonorganic farm were 20 pounds and 1.7 pounds, respectively.
Required:
What represents the standard error of the difference in the mean weights of watermelons from the two farms?
Answer:
D. 2^2+1.7^243+40−−−−−√
Step-by-step explanation:
The computation is shown below:
Given that
Sample 1
n_1 = 43
mean = 18
s_1 = 2
Sample 2
n_2 = 40
mean = 20
s_2 = 1.7
Now the standard error is
[tex]= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }[/tex]
= 0.4065
HELP HELP HELP!!!!!!!!!!!!!!!!!!!
Answer: the top one
Step-by-step explanation:
Which statement or inequalities describe the number line graph?
Answer:
Step-by-step explanation:
( - ∞ , - 3 ) ∪ [ - 1 , ∞ )
If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]
Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
112 1/2 as a decimal
Answer:
[tex] \frac{1}{2} \: as \: a \: decimal = \\ 0.5[/tex]
Step-by-step explanation:
thats the answer
The decimal form, the mixed fraction can be written as 112.5.
To find out mixed fraction in the form of decimal.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
The mixed fraction is a fraction whose nominator is greater than its denominator or improper fraction is a fraction in which the denominator is always less than the numerator.
112 1/2
= (2 x 112 + 1)/2
= (224 + 1)/2
= 225/2
To divide the 225 by 2 ,we get
=112.5
So, the decimal form, the mixed fraction can be written as 112.5
Learn more about fraction here:
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3 consecutive integers have a sum of 27. What are the integers?
Answer:
8,9,10
Step-by-step explanation:
Let x be the first integer
x+1 is the next consecutive integer
x+2 is the third consecutive integer
The sum is 27
x + (x+1) + (x+2) = 27
Combine like terms
3x+3 = 27
Subtract 3 from each side
3x+3-3 =27-3
3x =24
Divide by 3
3x/3 = 24/3
x=8
The integers are
x=8
x+1 =9
X+2 =10
Help please this question is hard!
9514 1404 393
Answer:
B, C, A, D
Step-by-step explanation:
The depths are easier to compare if they are all in the same form. Here, it is convenient to use decimal numbers rounded to hundredths. Your calculator can help with the fractions if you are not familiar with decimal equivalents.
A: -1.6 m = -1.60 m
B: -4/3 m ≈ -1.33 m
C: -1.36m = -1.36 m
D: -17/9 m ≈ -1.89 m
Then the least deep site is the one with the depth number closest to 0.
In order from least to greatest depth, the sites are ...
B (-1.33) > C (-1.36) > A (-1.60) > D (-1.89)
Answer:
yeah
Step-by-step explanation:
The Hamilton’s are installing a new pool in their backyard .The scale drawing below represents the new pool,where 1 centimeter represents 5 feet.
Help me out thank u
9514 1404 393
Answer:
(a) 145
Step-by-step explanation:
The measure of the angle marked x° is half the sum of the intercepted arcs:
(90° +200°)/2 = x° = 145°
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
1.33
Step-by-step explanation:
so mean is the average
so what you have to do is add the numbers for each person and then divide by the amount of numbers present. the question is asking for the difference so subtract the numbers for each from person.
mia's mean= 34.33
sophia's mean= 35.667
sophia-mia= 1.33
(check my work, and if you need help just comment)
What is the reciprocal of 8 2/5
Answer:
8 and 2/5 is 42/5 and its reciprocal is 5/42
Step-by-step explanation:
[tex]Reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]8 \frac{2}{5} \\ \\ = \frac{42}{5} [/tex]
[tex]Hence, \:the\: reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42}.[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?
4 m squared + 25 n squared; a perfect square trinomial
4 m squared + 25 n squared; the difference of squares
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
4 m squared minus 20 m n + 25 n squared; the difference of squares
Answer:
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
Step-by-step explanation:
(-2m+5n)(-2m+5n)
4[tex]m^{2}[/tex]-20mn+25[tex]n^{2}[/tex]
By expanding the given expression, we conclude that the equivalent expression will be the perfect square trinomial:
4m^2 + 20m*n + 25n^2
How to get an equivalent expression to the given binomial?We have a polynomial given by the expression:
(2m + 5n)^2
If we expand the binomial (binomial means that it hastwo terms), we will get:
(2m)^2 + 2*(2m)*(5n) + (5n)^2
= 4m^2 + 20m*n + 25n^2
This is a perfect square trinomial (trinomial because has 3 terms and perfect square because is the square of a binomial).
If you want to learn more about polynomials, you can read:
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