The value of x would be 5 for the model 2x+4.
Rearrange unknown terms to the left side of the equation,
[tex]= > 2x-3x = -1 - 4[/tex]
Combine like terms[tex]= -x = -1-4[/tex]
By calculating the sum or difference : -x = -5
Lets divide both sides of the equation by the resulting coefficient 5
So x = 5
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What is the vertex of the graph of y = x^2+ 4x?
Answer:
(-2, -4)
Step-by-step explanation:
You can complete the square of the equation to get
y+(4/2)^2 = x^2+4x+(4/2)^2
y+4 = x^2 + 4x + 4
y+4 = (x+2)^2
y = (x+2)^2 - 4
This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)
Monomal by a Dinormal
What is the product of x(x + 1)?
O 2x+x
0x2+2x
022 +1
O x² + x
will give brainliest
Answer:
a
Step-by-step explanation:
.....................
what is the correct answer
Solve for x.
Use the quadratic formula.
2x² - 9x + 8 =0
Answer:
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
/ = over
Step-by-step explanation:
a = 2, b=-9, c=8
x = −b±√b2−4ac/2a
x = −(−9)±√(−9)2−4(2)(8)/2(2)
x = 9±√17/4
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10? Assume x ≠ 0, y ≠ 0
[tex]\textsf {Simplifying the exponents :}[/tex]
[tex]\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}[/tex]
[tex]\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}[/tex]
[tex]\mathsf {\frac{1}{5x^{8}y^{13}}}[/tex]
A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:
Male Female Total
Income over $50,000 475 375 850
Income below $50,000 75 75 150
Total 550 450 1,000
Based on these data, are "being female" and "earning over $50,000" independent events?
Yes, P(being female | the person earns over $50,000) = P(being female)
Yes, P(being female | the person earns over $50,000) ≠ P(being female)
No, P(being female | the person earns over $50,000) = P(being female)
No, P(being female | the person earns over $50,000) ≠ P(being female)
Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Two events, A and B are independent, if:
P(A [tex]\cap[/tex] B) = P(A) P(B)
In this problem, the events are:
Event A: Being female.Event B: Earning over $50,000.Out of the 1000 people, 450 are female, hence:
P(A) = [tex]\dfrac{450}{1000}[/tex] = 0.45
850 earn over $50,000, hence:
P(B) = [tex]\dfrac{850}{1000}[/tex] = 0.85
375 are women who earn over $50,000, hence:
P(A [tex]\cap[/tex] B) = [tex]\dfrac{375}{1000}[/tex] = 0.375
The multiplication of the probabilities is:
P(A [tex]\cap[/tex] B) = 0.45(0.85} = 0.3825
Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
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Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the preserved.
The transformation is non-rigid because the side lengths are not preserved.
How to complete the drop-down menus?The drop-down menus and the image of the triangles are not given.
However, the question can still be solved using the available parameters.
The given parameters are:
Pre-image: 6, 10, 8
Image: 3, 5, 8
See that the side lengths of the image and the pre-image are not the same
This means that the transformation is a non-rigid transformation
Hence, the complete statement is the transformation is non-rigid because the side lengths are not preserved.
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What is the factored form for the quadratic function below?
y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)
Answer:
D. y = (x + 8) (x + 1)
Explanation:
[tex]\sf y = x^2 + 9x + 8[/tex]
[tex]\rightarrow \sf y = x^2 + 9x + 8[/tex]
middle term split
[tex]\rightarrow \sf y = x^2 + 8x +x + 8[/tex]
factor the common terms
[tex]\rightarrow \sf y = x(x + 8) + 1(x + 8)[/tex]
collect into groups
[tex]\rightarrow \sf y = (x + 1)(x + 8)[/tex]
Option D
What is the measure of an exterior angle of a regular hexagon?
360°
180°
30°
60°
Answer:
60
Step-by-step explanation:
60 because a regular hexagon has a exterior angle measure of 60.
A regular hexagon has 6 sides you divide 360 by 6 which is 60
Ans: 60
How do you write an equation in function form?
Answer: Writing an equation in function form. You want to remove the x term from the side y is on and move it to the other side of the equal sign. To do this either add or subtract the x term from both sides. Next divide by the coefficient of the y term. Now your equation is in function form.
explanation: like 57 * Y =142500
what is the number for Y if u don't know u could divided 142500 by 57 and it equals? 2500;) hope I helped
Match the terms to their correct definitions.
1. Adjusted balance
planning for the distribution of one's estate after death
2. ATM Automatic (or Automated) Teller Machine
the annual interest ÷ cost
3. Bond
a share in the ownership of a company
4. Certificates of deposit (CD's)
document that specifies how one desires his estate to be distributed upon his death
5. Checking account
a share of money earned as profits by a company and distributed to its stockholders
6. Club account
a sum on deposit usually for a given period of time at a fixed interest rate
7. Compound interest
accounts are set up to save for specific purchases
8. Debit card
can be used like a credit card, but money is deducted directly from bank account
9. Dividend
a trust established while the owner of the trust is still alive
10. Estate planning
interest figured only on the amount of money in the savings account
11. Interest
interest figured on the amount of money in the savings account plus the amount of interest already earned
12. Intestate
permits the customer to make transactions by using a special computer terminal
13. Investment
an estate, or other property or money, given to a person or institution to manage
14. Living trust
like loaning money to the company for interest
15. Mutual fund
account allows you to write an instruction to the bank, as a check, to make a payment from that account
16. Simple interest
without a will
17. Stocks
a commitment of money in order to gain a financial return
18. Trust
investment instrument in which you purchase a part of a collection of investments
19. Will
balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement
20. Yield
the fee a bank pays you to keep your money
Lets try to figuring out the definition of it.
1. Planning for the distribution of one's estate after death is Estate planning.
2. Trust: an estate, or other property or money, given to a person or institution to manage.
3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.
4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.
5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.
6. Will a legal document that describes how your estate should be distributed upon.
8. Purchasing a bond is like loaning money to the company for interest.
9. Club accounts: accounts are set up to save for specific purchases.
11. Mutual fund: instrument in which you purchase a part of a collection of investments.
12. A debit card can be used like a credit card, but money is deducted directly from bank account.
13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.
14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.
15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.
18. A trust created while a person is still alive is called a Living Trust.
19. Intestate: without a will.
20. Interest is the fee a bank pays you to keep your money.
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Answer:
1. Planning for the distribution of one's estate after death is Estate planning.
2. Trust: an estate, or other property or money, given to a person or institution to manage.
3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.
4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.
5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.
6. Will a legal document that describes how your estate should be distributed upon.
8. Purchasing a bond is like loaning money to the company for interest.
9. Club accounts: accounts are set up to save for specific purchases.
11. Mutual fund: instrument in which you purchase a part of a collection of investments.
12. A debit card can be used like a credit card, but money is deducted directly from bank account.
13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.
14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.
15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.
18. A trust created while a person is still alive is called a Living Trust.
19. Intestate: without a will.
20. Interest is the fee a bank pays you to keep your money.
Step-by-step explanation:
What is the value of k? -5 -3 3 5
Answer:
k = -3
Step-by-step explanation:
Generally, we determine k by observing
the vertical translation of the original graph
in this case it’s the graph of f
and count the number of units by which it’s translated.
Checking the sign of k :
If the graph is translated up then k > 0
If the graph is translated down then k < 0
……………………………………………………………………
in order to get the graph of g ,the graph of f
is translated 3 units vertically but down
then
k = -3
L
E
N
4
8
1
O
k
M
What is the value of k?
k=
Answer: 2
Step-by-step explanation:
By the geometric mean theorem,
[tex]\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}[/tex]
Consider this liner function: y=-2x-5
Where would you plot the ordered pairs for the values in the domain?
D: {-6, -5, -2, 0, 1}
The graph of the linear function, considering the points in the domain, is given at the end of the answer.
What is the linear function?
The linear function is defined by:
y = -2x - 5.
Considering the domain, the points are given as follows:
A: x = -6, y = -2(-6) - 5 = 7.B: x = -5, y = -2(-5) - 5 = 5.C: x = -2, y = -2(-2) - 5 = -1.D: x = 0, y = -2(0) - 5 = -5.E: x = 1, y = -2(1) - 5 = -7.More can be learned about linear functions at https://brainly.com/question/24808124
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What is the factored form of 50x^2-8
Answer:
2(5x-2)(5x+2)
Step-by-step explanation:
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answer:
[tex]x=1[/tex] ± [tex]i\sqrt{19}[/tex]
Step-by-step explanation:
First off let's state the quadratic formula
Quadratic formula
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
For this question our quadratic equation is
[tex]x^2+20=2x[/tex]
Now before we can apply the quadratic formula we first have to set the equation equal to zero. We do this my moving everything to one side and setting it equal to zero.
In this case, we simply move the 2x to the other side making it negative and setting the equation equal to zero.
[tex]x^2-2x+20=0[/tex]
From here we plug in the values to the quadratic equation.
Now incase you don't know
[tex]a =[/tex] Coefficient of [tex]x^2[/tex] value
[tex]b=[/tex] Coefficient of [tex]x[/tex] value
[tex]c=[/tex] The Constant
Now plug in values
[tex]a=1[/tex]
[tex]b=-2[/tex]
[tex]c=20[/tex]
To get the values of x using the quadratic formula we have the plug in the values, we also have to both subtract and add the [tex]\sqrt{b^2-4ac}[/tex] to [tex]-b[/tex]
Plug in values into formula
[tex]\frac{2+\sqrt{(-2)^2-4(1)(20)} }{2(1)}[/tex]
[tex]\frac{2+\sqrt{-76} }{2}[/tex]
[tex]\frac{2+\sqrt{-1} *\sqrt{76} }{2}[/tex]
[tex]\frac{2+i *\sqrt{76} }{2}[/tex]
[tex]\frac{2+i *\sqrt{4(19)} }{2}[/tex]
[tex]\frac{2+i *\sqrt{2^2(19)} }{2}[/tex]
[tex]\frac{2+2i \sqrt{19} }{2}[/tex]
[tex]x=1+i\sqrt{19}[/tex]
Now repeat the steps except subtract from -b rather than add to it.
Final Answer
[tex]x=1[/tex] ± [tex]i\sqrt{19}[/tex]
BTW
± = plus and minus
can someone help me with this ??
Order the following numbers from least to greatest.
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
Descending and ascending orderOrdering a sequence of number from least to greatest is known as the ascending order of magnitude
Given the following parameters
∛64, √19 and 4.222...
The cube root of 64 is 4
The square root of 19 is 4.36
While the repeating decimal 4.2. can be 4.2222...
Ordering from least to greatest is 4, 4.2222, 4.36
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
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Drag each tile to the correct box. Not all tiles will be used.
Consider function f.
Place the steps for finding in the correct order.
The steps to find the inverse function are given in the development of the answer of this problem.
How to find the inverse function?The inverse of a function y = f(x) is found exchanging x and y and isolating y.
In this problem, the function is:
[tex]f(x) = \sqrt{7x - 21}[/tex]
Then the steps to find the inverse function is given as follows:
[tex]y = \sqrt{7x - 21}[/tex]
[tex]x = \sqrt{7y - 21}[/tex]
[tex]x^2 = 7y - 21[/tex]
[tex]x^2 + 21 = 7y[/tex]
[tex]\frac{1}{7}x^2 + 3 = y[/tex]
[tex]\frac{1}{7}x^2 + 3 = f^{-1}(x)[/tex], where [tex]x \geq 0[/tex].
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Linda needs 2/5 of an ounce of salt to make 1 cup of dip for her fries. How many cups of dip will she be able to make if she has 40 ounces of salt?
Step-by-step explanation:
2/5 oz. for 1 cup
40 oz for x cups
2/5x = 40
x = 100 cups
Which equations are true for x = -2 and x = 2? Select two options
A x²-4=0
B x²=-4
B 3x² + 12 = 0
C 4x² = 16
D 2(x-2)² = 0
Answer:
A and C
Step-by-step explanation:
solving the equations
A
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution
B
x² = - 4 ← has no real solutions
C
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution
D
2(x - 2)² = 0 , then
x- 2 = 0 ( add 2 to both sides )
x = 2 ← not the required solution
Answer:
Answer A and C
Step-by-step explanation:
Let us solve the equations one by one and let us check whether the answers are matching with the answers given in the questions.
A) x² - 4 = 0
( x² - 2² ) = 0
( x -2 ) ( x + 2 ) = 0
∴ x - 2 = 0 or x + 2 = 0
x = 2 x = -2 ( Matched )
B) x² = -4
x = ±√-4 ← no real solutions (Not matched )
B) 3x² + 12 = 0
3 ( x² + 4 ) = 0
3 ( x² + 2² ) = 0 ← no real solutions (Not matched)
C) 4x² = 16
Divide both sides by 4.
x² = 4
x = ±√4
∴ x = 2 or x = -2 (Matched)
D) 2 ( x - 2 )² = 0
(2x - 4)² = 0
4x² - 16x + 16 = 0
Divide the whole equation by 4.
x² - 4x + 4 = 0
x² - 2x - 2x + 4 = 0
x ( x - 2 ) - 2 ( x - 2 ) = 0
( x - 2 ) ( x - 2) =
∴ x - 2 = 0 or x - 2 = 0
x = 2 x = 2 ( Not matched )
I need help please! What’s the answer?
Answer:
x = 17.32 units
Step-by-step explanation:
In a right triangle tan (angle) = opposite leg / adjacent leg...
for this triangle tan 27° = 34 / x
then x = 34 tan 27° = 17.32 units
Select the correct answer from each drop-down menu. polygon abcde has the vertices a(2, 8), b(4, 12), c(10, 12), d(8, 8), and e(6, 6). polygon mnopq has the vertices m(-2, 8), n(-4, 12), o(-10, 12), p(-8, 8), and q(-6, 6). a transformation or sequence of transformations that can be performed on polygon abcde to show that it is congruent to polygon mnopq is a . if polygon mnopq is translated 3 units right and 5 units down, it will coincide with a congruent polygon, vwxyz, with its vertices at
1). Option C
2). Option A
What is Polygon?Polygon is given as a closed two-dimensional figure with three or more straight lines.
The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)
After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).
By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.
Therefore, polygon ABCDE has been reflected across the y-axis.
Option C. is the answer.
If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be
M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)
N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)
O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)
P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)
Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)
Thus, Option A. is the correct option.
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Answer:
Step-by-step explanation:
the
Please help me answer question 8/11 asap
The value of a₄₁ mean the expression in 4th row and 1st column will be 2. Then the correct option is B.
The complete question is attached below.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrix is given below.
[tex]\begin{bmatrix} 1&3&8&5&\\ 5&4&6&2\\6&7&1&8\\2&9&3&7&\\\end{bmatrix}[/tex]
Then the value of a₄₁ mean the expression in 4th row and 1st column will be 2.
Then the correct option is B.
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Find the measure of x.
42°
X
17
x= [ ?
Round to the nearest hundredth.
Answer:
18.88
Step-by-step explanation:
tan 42° = 17/x
x= 17/(tan 42°)
x = 17/(0.9004)
x = 18.88
giving 20 points out for this question!
Answer: £20 doubling at the end of each year for 5 years
From the question, Stephen would want to select one option which gives the highest amount of profit. I mean, even if you were to select one, you would obviously try calculating all the 4 choices to see which one makes you earn the most money. Now let's conduct the workout and see which one will earn us the most £ in 5 years:
Option 1:
[tex](500*\frac{5}{100} ) + 500 ---- > 1yr\\= 25 + 500 \\ = 525\\\\(525*\frac{5}{100} ) + 525 ----- > 2yrs\\= 26.25 + 525\\= 551.25\\\\(551.25 * \frac{5}{100}) + 551.25 - - - > 3yrs\\ = 27.563 + 551.25\\= 578.813\\\\(578.813 * \frac{5}{100}) + 578.813 - - > 4 yrs\\ = 28.941 + 578.813\\ = 607.754 \\\\(607.754 * \frac{5}{100}) + 607.754 - - > 5 yrs\\ = 30.388 + 607.754\\ = 638.142 \\[/tex]
ans: £ 638.142
Option 2:
[tex]1 year = 12 months\\5 years : 5*12 = 60 months\\\\10*60 = 600[/tex]
ans: £ 600
Option 3:
[tex](550*\frac{3}{100}) + 550 - - - - > 1yr\\= 16.5 + 550\\= 566.5 \\\\(566.5 * \frac{3}{100}) + 566.5 - - - > 2 yrs\\ = 16.995 + 566.5\\= 583.495\\\\(583.495 * \frac{3}{100}) + 583.495 - - > 3 yrs\\ =17.505 + 583.495\\= 601\\\\(601 * \frac{3}{100}) + 601 - - - - - - > 4 yrs\\= 18.03 + 601\\= 619.03\\\\( 619.03* \frac{3}{100}) + 619.03 - - - - > 5 yrs\\= 18.571 + 619.03\\= 637.601[/tex]
ans: £ 637.601
Option 4:
[tex]20*2= 40 - - - - > 1yr\\40 * 2= 80 - - -- > 2 yrs\\80*2 = 160 - - - > 3 yrs\\160*2 = 320 - - - > 4 yrs\\320*2= 640 - - - > 5yrs[/tex]
ans: £ 640
Out of all the calculated answers, you can see that option 4 has the highest amount. So that's it. By the way, I might do some incorrections in some calculations because I am not good at long maths, but yes i hope I did it all right!
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
find the surface area of the prism
The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 232 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the prism is,
Surface area = 2 [(2 × 8)+(8 × 10)+(2 × 10)]
= 232 in²
Hence, the surface area of the prism is 232 in².
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been having this question for a while and this app wont help
The answer is B
When there is a solid point that means it is included in the graph, so you'd use a greater/less than or equal to symbol (the one with a line under). If it's an unfilled point then it means that it is not included in the graph, so you'd use a greater/less than sign.
The x² equation is less than 2 while the linear equation is greater than or equal to 2.
We know it's the x² equation that is less than two because it has a curve in it.
A graph is shown below
what is the equation of the line in slope intercept form HELP ASAP
Answer:
y = -2x + 16
the y intercept is the y value at x = 0. On the graph there is a dot at 16 on x= 0, so the y intercept would be 16.
the only answer choice adding 16 sis y = -2x + 16
PLEASE HELP
If the perimeter of a garden is 16 yards, how many inches is it? Hint: There are 3 feet in 1 yard.
If 3 ft = 1yard
? = 16 yards?
Thats [tex]\frac{16 yards * 3ft}{1yard}[/tex]
The common values cancel each other out and you'll have 48 feet :)
please give me answer friend
Answer:
90°
Step-by-step explanation:
right angle - 90°
.....
Answer:
65
Step-by-step explanation:
