Step-by-step explanation:
The opposite of negative is positive.
-25 is +25 or 25 itself
Select the correct answer.
y – 6 = 4(x- 4)
Which of the following shows a graph of the equation above?
Answer:
D) Graph Z
Step-by-step explanation:
Convert from point-slope to slope-intercept form
\(y-6=4(x-4)\\\\y-6=4x-16\\\\y=4x-10\)
This tells us that the line intersects the y-axis at (0,-10) and that our slope is 4. Therefore, the best choice given the options is D, graph Z.
The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 6 = 4(x - 4)
Convert the equation into slope-intercept form. Then we have
y - 6 = 4(x - 4)
y - 6 = 4x - 16
y = 4x - 16 + 6
y = 4x - 10
The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.
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Help, please
f(n)=3(n+2)^2 (n-3) (n-2)
As n -----> -oo, f(n)----> ?
As n ----->oo, f(n) ----->?
The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function for this problem is given as follows:
f(n) = 3(n + 2)²(n - 3)(n - 2).
Considering the degree, the function can be interpreted as follows:
\(3n^4\)
(for the limit when the input goes to infinity we consider only the term with the highest degree).
The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.More can be learned about the end behavior of a function at brainly.com/question/1365136
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Solve the following system using the elimination method
−8y+6x=36
6x−y=15
Answer:
a
Step-by-step explanation:
Answer:
C. (2, -3)
Step-by-step explanation:
Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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if h(x)= 1-7x find the value of 23-h(9)=
85
Step-by-step explanation:
Given,
\({ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}\)
Put x = 9 in Eqⁿ (1)
\({ \pink{ \sf{h(9) = 1 - 7(9)}}}\)
\({ \pink{ \sf{h(9) = 1 - 63}}}\)
\({ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}\)
Let
\({ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}\)
Substitute the value of h(9) in Eqⁿ (2)
\({ \green{ \sf{23 - ( - 62)}}}\)
\({ \green{ \sf{23 + 62}}}\)
\( = { \pink{ \boxed{ \red{ \sf{85}}}}}\)
can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
Name the characteristics a shape has to have to be defined as the following
quadriatera
Triangle
square
Answer:
A quadrilateral is a shape that has four straight sides and four angles.
A triangle is a shape that has three straight sides and three angles.
A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.
PLEASE HELP I'LL GIVE BRAINILLEST PLEASE NO FAKE ANSWERS ITS DUE REALLY SOON :(
Answer:
4) No solution
6) x = 5
8) v = 5
Step-by-step explanation:
Step-by-step explanation:
4) there are no solutions
expand the equation
-2v+4=-3-2v
the -2v cancell out and you are left with 4=-3 which is impossible
6) the answer is 5
expand
8x+38=18+12x
20=4x
x=5
8) the answer is 5
expand
-3v-12=2v-37
25=5v
v=5
Hope that helps :)
PLS HELP ASAP!!!!!!!!!!
Answer:
I believe it is B. always
Because Adding, subtracting or even multiplying will always give you a new polynomial not the same polynomial.
Im sorry if i am wrong
The table represents a quadratic function. Write an equation of the function in standard form.
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
Standard form equation of a quadratic function.It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
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What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.
Answer:
47.1cm²
Step-by-step explanation:
diameter=15cm
circumference of circle= d×3.14
circumference=15×3.14
circumference=47.1
Which expression is equivalent to √-80
O 4√5
O -4√√51
4√√51
O 4√√5
Answer: \(4i\sqrt{5}\)
Step-by-step explanation:
\(\sqrt{-80}\\\\=\sqrt{-1} \sqrt{80}\\\\=\sqrt{-1} \sqrt{16} \sqrt{5}\\\\=4i\sqrt{5}\)
None of the provided options is equivalent to √-80.
We have,
To simplify the expression √-80, we need to determine the square root of -80.
However, since -80 is a negative number, its square root is not a real number.
The square root of a negative number is usually expressed using the imaginary unit "i," where i = √(-1).
In this case, we can rewrite the expression as:
√(-1 * 80) = √(-1) * √(80) = i * √(80).
Therefore,
None of the provided options is equivalent to √-80.
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For the arithmetic sequence beginning with the terms {-1, 2, 5, 8, 11, 14...}, what is the sum of the first 16 terms?
Answer:
S₁₆ = 344
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then
S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]
= 8 (- 2 + 45)
= 8 × 43
= 344
Hello, I need help on the following question (it’s one problem but with multiple parts):
Part i. We are told that the cost for 3 throws is 1 dollar. This means that if "x" is the number of throws then the total cost must be:
\(C(x)=\frac{1\text{ dollar}}{3\text{ throws}}x\)We can rewrite it in a simpler form as:
\(C(x)=\frac{1}{3}x\)If we purchased the armband then this cost is equivalent to (1/6) of a dollar per throw plus the cost of the armband, we get:
\(C_2(x)=\frac{1}{6}x+10\)Part ii. The graph of the two equations are two lines in the plane, like this:
In the graph, the red line represents the cost without the armband and the blue line represents the cost with the armband.
Part iii. We can see from the graph that if the number of throws is smaller than 60, then the cost is smaller without the armband, but if the cost is greater than 60 then the cost is smaller with the armband. Therefore, it makes sense to buy the armband if the number of throws is going to be greater than 60.
2y⁴-18x²y²-48xy²-32y²
Gold leaf can be bought in 8cm square sheets.
There are 25 sheets in one booklet.
Work out the total area that can be covered using one booklet of gold leaf.
Step-by-step explanation:
El pan de oro se puede comprar en hojas cuadradas de 8 cm.
Hay 25 hojas en un folleto.
Calcule el área total que se puede cubrir con un cuadernillo de pan de oro
2x²-2x-5=0
solve it using Δ=b²-4ac
Answer:
44
Step-by-step explanation:
Plzz help me!!!
I will give you brainliest
Which statement is TRUE?
A)
The perimeter of the green rectangle is equal to the circumference of the
black circle.
B)
The perimeter of the green rectangle is less than the circumference of the
black circle.
C)
The perimeter of the green rectangle is greater than the circumference of
the black circle.
D)
The perimeter of the green rectangle exactly half of the circumference of
the black circle.
Answer:
Can you add a picture or visual model if there is one?
Step-by-step explanation:
Solve the initial value problem
r''(t)=2/t^2, r'(1)=3, r(1)=-4
The value of t from the given derivative is 7.38.... or −7.38....
The given second order derivative is r''(t)=2/t².
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
Here, r''(t)=2/t²
The anti-derivative is
Set the function up in integral form and evaluate to find the integral.
r'(t) = -2/t
Now, 3=-2/t
⇒ t=-2/3
Set the function up in integral form and evaluate to find the integral.
r(t)=-2ln(|t|)
So, -4=-2ln(|t|)
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form :t=e²,−e²
Decimal Form:
t=7.38905609…,−7.38905609…
Therefore, the value of t from the given derivative is 7.38.... or −7.38....
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Find sin d, sin e, cos d, and cos e. Write each answer as a fraction in simplest form
Answer:
r= 17.73174
Step-by-step explanation:
calculations
What are possible coordinates of point F if triangle DEF is
congruent to triangle ABC?
Answer:
(-1, 4)
Step-by-step explanation:
Point B is 5 units below point A, and point E is 5 units above point D: AB = ED. This means that BC will be equal to EF. B and C are 7 units apart, so 7 units left from E is (-1, 4).
Hope this helps!
Answer: It’s A (-1,4)
Step-by-step explanation:
because it will be plotted their
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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A coordinate grid with a line passing through (negative 4, 0) and (0, negative 8)
The line y = –2x – 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply.
(–8, 8)
(–6, 2)
(–2, 4)
(0, –4)
(2, –12)
Answer: The answers are (-8,8) and (2,-12)
Step-by-step explanation: I substituted the coordinates into the equations and on both sides they matched!
Hope this helps! :3
the equation of a line is y=mx+b. if we know the line passes through (7,8), what does that tell us
The equation of the line is given as y = -2x + 22. This means that when x is equal to zero, y = 22. M also shows how steep the line is, being the gradient.
What is the calculation that justified the above?In order to arrive at a logical solution, we must assume the value of the slope as this is not given.
Assuming the slope of the line is -2, we thus can say:
The equation of a line that passes through a point (x₁,y₁) and a slope m is given by
(y - y1) = m (x - x1)
Recall that the slope, m = -2
While
Point (x1, y1) = (7, 8)
Hence, the equation of the line is:
y-8 = (-2) (x-7)
y-8 = -2x + 14
y = -2x+ 14 + 8
Hence,
y = -2x + 22
Thus, the equation of the line is:
y = -2x + 22
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Find the first five terms of the following sequence, starting with n=1.
Answer:
-2,1,6,13,22
Step-by-step explanation:
cn = n^2 -3
Let n=1
c1 = 1^2 -3 = 1-3 = -2
Let n=2
c2 = 2^2 -3 = 4-3 = 1
Let n=3
c3 = 3^2 -3 = 9-3 = 6
Let n=4
c4 = 4^2 -3 = 16-3 = 13
Let n=5
c5 = 5^2 -3 = 25-3 = 22
What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months
The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.
The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.
The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.
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These shapes are similar.
Find X.
5
X
5
30
24
30
The value of x is 4.
To determine the value of x, we can use the concept of similarity between shapes.
Similar shapes have corresponding sides that are proportional to each other.
Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:
5/x = 30/24
To solve for x, we can cross-multiply:
30 · x = 5 · 24
30x = 120
Dividing both sides of the equation by 30:
x = 120 / 30
x = 4
Therefore, the value of x is 4.
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1. Last week Joe ran 45 miles. This week he ran 34 miles. find the percent increase or decrease
Now, first we have to notice there has been a decrease:
\(45-34=11\)In this case, a 11 mile decrease. Now, we can use a rule of three to calculate the percentage of those 11 miles relative to the original 45 miles run, as following:
This way,
\(x=\frac{11\cdot100}{45}\Rightarrow x=24.44\)We can say that there was a 24.44% decrease
What are prime number
A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.
In other words, prime numbers are the numbers
divisible by 1 and the number itself.
For example, let us take 2.
2 has only two factors and those are 1 and 2 so it's prime.
Similarly, 7 is also a prime number because it has only two factors
and these are 1 and the number itself which is 7.
Answer:
A number that is only divisible by itself and 1
Step-by-step explanation:
How do I solve this question