Determine the type and number of solutions for the follow equation.
x² – 8x=-7
Answers
x = 7 OR x = 1
Have a nice day
Related Questions
Which of the following expressions is in simplified form?
Answers
When calculating simple interest, what must you do if you want to invest for months or weeks instead of years? a. Simple interest only pays yearly, so you should find another investment. b. The simple interest calculation does not use those units, so you should just calculate as normal. c. The units have changed, so the interest formula switches to I·t=P·r. d. Interest rates are annual, so you must convert the units into years. Please select the best answer from the choices provided A B C D
Answers
When calculating simple interest, if we want to invest for months or weeks instead of years we must convert the interest rate units into years.
Option D is the correct answer
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
The formula for simple interest.
SI = PRT/100
P = principa
R = rate
T = time
Now,
Time is in years when we are calculating the simple interest.
Example:
If time is in months.
T = 4 months
T = 4/12 = 1/3 years.
Thus,
We must convert the units into years.
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Question 2(Multiple Choice Worth 2 points)
(Rewriting Rational Numbers LC)
Which number gives the exact value of 45?
6
O
4.83
6
29
4.8
hj
Answers
The computation shows that the examples of values that will give the exact value of 45 will be:
✓9 × 156 × 9✓25 × ✓81How to compute the value?It should be noted the information is incomplete as the options aren't given and not properly written.
In this case, the examples will be given:
An example of value that will give 45 will be:
= ✓25 × ✓81
= 5 × 9
= 45
The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answers
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.
Answers
12% translates to 0.012. That number is in front of the x because it changes yearly.
The 57,000 is added afterwards (b) because it was there from the beginning
Using the table, what is the average daily balance of the credit card for the October 1 - October 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00. Day 1112131 Activity − Payment Purchase Purchase Adjustment −−2000+1500+1000 Closing Balance 100008000950010500
Answers
The balance based on the.data given in the table is shown below.
Balance from day 1 to 10 = 11000
Balance from day 11 to 21= 8000
Balance from day 21 to 30- 5500
Balance on day 31 7500
How to explain the balanceBalance from day 1 to 10= 11000
Balance from day 11 to 21= 8000 Balance from day 21 to 30 5500
Balance on day 31- 7500
The average daily balance of the credit card for the month of december is:
Average daily balance The ratio of total balance from each day in cycle to the total number of days in cycle.
Total balance from each day in cycle=
(11000 x 10)+(8000 × 10)+(5500 x 10) + (7500 x 1) = 104000
Average daily balance=104000 / 31
= 8145
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What percentage is equivalent to
12
/
30
Answers
Answer:
The answer you're looking for is 40%
Step-by-step explanation:
If you divide 12(numerator) by 30(denominator), you get 0.4.
After that, if you want to convert the decimal to a percent you always have to multiply by 100.
\(\frac{12}{30} =0.4=0.4 x 100=40%\)
I hope this was helpful!
The points P(6,-3), Q(-2,3), R(-5, -1), and S(3,-7) form quadrilateral PQRS. what type of quadrilateral is it?
Answers
5t+7+8b
I need also help on -2(x+3)=_-6
Answers
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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Determine whether KM || JN. Explain or show work.
Answers
The segments KM and JN are parallel because the ratio LK : KJ = LM : MN are equivalent
Determining whether KM || JNfrom the question, we have the following parameters that can be used in our computation:
The triangle
To determining whether KM || JN, we make use of the following ratio
LK : KJ = LM : MN
Substitute the known values in the above equation, so, we have the following representation
8 : 5 = 12 : 7.5
Express as fraction
5/8 = 7.5/12
Simplify
So, we have
0.625 = 0.625
This means that KM || JN
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Change 84cm into millimetres
Answers
Answer:
840 mm
Step-by-step explanation:
multiply by 10
Answer:
840 millimetres
Step-by-step explanation:
To convert cm to mm, multiply the value in cm by 10
84cm x 10 = 840 mm
Hope this helps! <3
Which graph shows the new position of the rectangle after a translation of two units
up and two units to the right?
Answers
The translation of a rectangle two units up and two units right is given by (x, y) ⇒ (x + 2, y + 2)
What is a rigid transformation?A rigid transformation is a transformation that preserves the shape and size of a figure. Examples of rigid transformation are translation, reflection and rotation. Rigid transformation produces congruent figures.
Translation is the movement of a shape either up, left, right or down in the coordinate plane.
The translation of a rectangle two units up and two units right is given by (x, y) ⇒ (x + 2, y + 2)
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Is the Mean Value Theorem applicable to the function f(x) = |x - 1| on the interval [0, 2]?
Why or why not?
Answers
Which number line shows how to find 3 - 5?
A.
HH
H
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
O B.
H
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
OC. HHH
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
D
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answers
Answer:
(d)shows how to find 3 - 5
Step-by-step explanation:
in the image above
The correct answer is option D.
Number lineA pictorial representation of the numbers both, negative and positive is named as number line.
How to represent 3-5 on number line?To carry out the solution for 3-5, first go to 3 from the 0 and then, go back up to 5 units in the reverse direction i.e, towards the negative axis.
Hence, the number line representation is shown.
As a result, Option D is the correct answer.
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Which of the following is equivalent to the expression below? (2+31) + (8-21) O A. 6+1 O B. 6+5; O C. 10+57 O D. 10 + 1
Answers
Given the expression:
\((2+3i)+(8-2i)\)Let's find the equivalent expression from the choices given.
To find the equivalent expression, let simplify.
To simplify the expression, take the following steps:
• Remove the parentheses:
\(2+3i+8-2i\)• Combine like terms:
\(\begin{gathered} 2+8+3i-2i \\ \\ 10+i \end{gathered}\)Therefore, the equivalent expression is:
\(10+i\)ANSWER: D
D. 10 + i
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
Answers
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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Tell whether x and y show direct variation. Explain your reasoning. If so, find k.x/y = 2
Answers
Answer:
Is a direct variation, k = 2
Explanation:
A direct variation is when a number can be obtained by multipliying another number by a constant. That constant is often called k.
The form of a direct variation is:
\(x=ky\)We can rearrange the equation:
\(\frac{x}{y}=k\)This is exactly the situation in the problem, and also tell us that k = 2
What's
2/3 + 1/6 =
1/3 + 2/4 =
1/2 -1/4 =
3/8 - 1/3 =
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Elisa has 3/4 cup of flour. She used 3/6 to make cupcakes. How much flour does Elisa have left?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answers
Answer:
A. 5/6 B. 5/6 C. 1/4 D. 1/24
Step-by-step explanation:
A. 12+3= 15 = 5
— — —
18. 18. 6
B. 4+6=10= 5
— — —
12. 12. 6
C. 4-2=2 = 1
— — —
8. 8. 4
D. 9-8 = 1
— —
24. 24
how to derive trigonometry compound angles
Answers
Step-by-step explanation:
you mean derivative ?
by using the basic derivatives of the trigonometric functions combined with the derivative rules of compound functions.
as the compound angles are a function of angles inside the trigonometric functions.
in other words : the same as for any other function type.
instead of x you might use variables like theta. but the principles and mechanisms are all the same.
Prove (a) B(x+1,y)= x+y
x
B(x,y). (b) Γ(2x)= π
2 2x−1
Γ(x)Γ(x+ 2
1
).
Answers
The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX
a. To prove B(x+1, y) = x * B(x, y), proceed as follows.
Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).
Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .
Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).
Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.
Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).
Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .
Substitute this formula in the previous step to get,
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)
= x * B(x, y)
You have now proved B(x+1, y) = x * B(x, y).
b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).
Integrate ∫[0, ∞] (x(2x-1) * Start with dx.
Evaluating this integral using the permutation u = du is obtained.
Simplify the integral to (1/2) * Γ(x + 1/2).
Express sin(πx) as π / (Γ(x) * Γ(1 - x)).
Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.
Substituting the equations,
The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *
We get * (π / (Γ(x) * Γ(1 - x)))) dx.
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Laina reads 25 : 30
If laine reads 200 pages at the same rate how long will it take her
Answers
Answer:
i sorry but idk the annswer
Answer:
240
Step-by-step explanation:
200/25=8
30x8=240
hope this helps i didn't really understand the question much
What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.
Answers
Answer:
slope = - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + y = - 7 ( subtract x from both sides )
y = - x - 7 ← in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
then the slope of a line parallel to it is - 1
Find the vertex, focus, and directrix of the parabola.(y + 3)^2 = 16(x - 3)
Answers
We will have the following:
We are given the parabola:
\((y+3)^2=16(x-3)\)And we can see that it follows:
\((y-k)^2=4p(x-h)\)Now, we will have that the vertex is given by:
\((h,k)\)From the equation we then have that the vertex is:
\((3,-3)\)Now, we can see that p = 4 since 16 / 4 = 4. Now, we remember that the focus is located p units to the right since it is positive, thus the focus is given by:
\((h+p,k)\)So, the focus is at:
\((3+4,-3)\to(7,-3)\)Finally we will have that the directrix of the parabola will be given by:
*First, we find the distance between the focus and the vertex, that is:
\(d=\sqrt[]{(7-3)^2+(-3-(-3))^2}\Rightarrow d=4\)Now, since the x coordinate of the vertex is 3, then the directrix will pass at 4 units to its left, that is the directrix is given by:
\(x=-1\)That can be seing in the graph:
*** Summary***
Vertex: (3, -3)
Focus: (7, -3)
Directrix: x = -1
PLZ HELP ME?!?!?!?!?!?!?!?!?!?!?!!!???!?!?!?!?
At the electronics store, James bought a headset that was originally priced at $90 for $60. What was the percent of change in the headset's price?
Answers
Answer:
30%
Step-by-step explanation:
TIMED
The model shows the addition expression 18 + 12
One expression that is equivalent to this sum is
3 + 6 + 4
3(6 + 4)
3 + 6(4)
3(6) + 4
Answers
Answer:
3(6 + 4)
Step-by-step explanation:
We have a model that is showing a certain expression, while knowing that the expression it's showing is "18 + 12"
To solve, all we have to do is simplify the answers. Do as following :
A. 3 + 6 + 4
This is already incorrect, the answer is split into three numbers and we are only looking for two, even if you try combining the numbers to make 2 terms, you will not get 18 + 12.
B. 3(6 + 4)
This is correct, the answer is a distribution problem that when solving :
(3(6) + 3(4))
18 + 12
Gives you what the question is asking for.
C. 3 + 6(4)
This is incorrect, when you distribute 6 and 4, you get 24. Leaving you with the expression 3 + 24.
D. This is incorrect, when you distribute 3 and 6, you get 18. Leaving you with the expression 18 + 4.
The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
Answers
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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15) What is the difference between a rhombus and a square?
A) The sides of a square are equal in length. The sides of a rhombus have
different lengths.
B) The angles in a rhombus measure 90 degrees. The square has obtuse and
acute angles.
C) The angles in a square measure 90 degrees. The rhombus has obtuse and
acute angles.
Answers
Answer:
C) The angles in a square measure 90 degrees. The rhombus has obtuse and
acute angles.
Step-by-step explanation:
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 20% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.)
For this part i found answer that is 720 persons but i need answer for this part:-
How fast is the population growing at
t = 20?
(Round your answer to two decimal places.)
Answers
The rate of population growth at t = 20 is 0.20 per 10 years or 0.02 per year. This means that the population of the town is growing at a rate of 0.02 persons per year.
The population of a town is growing at a rate proportional to the population present at time t. Initially, the population of the town was 500. After 10 years, the population increased by 20%, which means that the population after 10 years is 600. Therefore, the population of the town after 20 years will be 720 persons.To calculate how fast the population is growing at t = 20, we first need to calculate the rate of population growth in 10 years. This can be done by calculating the percentage increase in population over 10 years. To calculate the percentage increase, we first need to calculate the difference between the population after 10 years and the initial population. This difference is 100 (600 - 500). We can then divide this difference by the initial population to determine the percentage increase in population over 10 years. The percentage increase is 20% (100/500). This means that the population of the town is increasing by 20% every 10 years.
Therefore, the rate of population growth at t = 20 is 0.20 per 10 years or 0.02 per year. This means that the population of the town is growing at a rate of 0.02 persons per year.
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Pls hurry and help Solve.
Find the perimeter of a park that measures 7 miles by 9/10 miles.
A. 15 4/5 miles^2
B. 6 3/10 miles^2
C. 6 3/10 miles
D. 15 4/5 miles
Answers
Answer:
Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.
Step-by-step explanation:
Answer:B
Step-by-step explanation:
Please help is for now
Answers
Answer:
\(\Huge\boxed{-8}\)
Step-by-step explanation:
Hello there!
When given two ordered pairs we can use the slope formula to solve for the slope
\(m=\frac{y_2-y_1}{x_2-x_1}\)
where m = slope
All we have to do is plug in the y and x values into the formula and calculate the slope
\(m=\frac{1-9}{7-6} \\1-9=-8\\7-6=1\\\frac{-8}{1} =-8\\m=-8\)
So we can conclude that the slope of the line that passes through the points (6,9) and (7,1) is -8