Answer:
Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
Step-by-step explanation:
Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
Answer:
(3, -16)Step-by-step explanation:
The vertex coordinates of f(x) = ax² + bx + c are: (h, k)
where: [tex]h=\dfrac{-b}{2a}\ ,\qquad k=f(h)[/tex]
f(x) = x² - 6x + 11 ⇒ a = 1 b = -6
So:
[tex]h=\dfrac{-(-6)}{2(1)}=\dfrac6{2}=3\\\\y=f(h)=-(3)^2-6(3)+1=-9-18+11=-16[/tex]
The vertex of quadratic equation is (3, 2)
How to find the vertex of quadratic equation?In order to determine the coordinates of the vertex, if they are not clearly labeled or easily identified from the graph, we will need to know the equation for the parabola. In general, the equation of a parabola has the form
y=ax²+bx+c
where a, b, and c are all real numbers, and a≠0.
This is called a quadratic equation, and this form is called the standard form of a quadratic equation.
The vertex of the parabola is located at a pair of coordinates which we will call (h, k). In order to determine what they are, we can simply use the standard form of the quadratic equation.
To find h, use the formula:h=−b/2a.
To find k, evaluate the quadratic equation when x = h. In other words, plug in the value of h for x, and solve.Given:
y= x² - 6x + 11
Now,
h= -b/2a
h= -(-6)/ 2 * 1
h= 3
Now,
y= f(h)
= 3*3 - 6*3 +11
= 9 -18 +11
= -9 +11
= 2
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Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot. Step 1: Since 4 squared = 16 and 5 squared = 25 and 16 < 18 < 25, StartRoot 18 EndRoot is between 4 and 5. Step 2: Since 18 is closer to 16, square the tenths closer to 4. 4. 1 squared = 16. 81 4. 2 squared = 17. 64 4. 3 squared = 18. 49 4. 4 squared = 19. 36 Step 3: Since 18. 49 rounds to 18, 4. 3 is the best approximation for StartRoot 18 EndRoot. In which step, if any, did Nolan make an error? In step 1, StartRoot 18 EndRoot is between 4 and 5 becauseStartRoot 18 EndRoot almost-equals 20 and 4 times 5 = 20. In step 2, he made a calculation error when squaring. In step 3, he should have determined which square is closest to 18. Nolan did not make an error.
Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.
What is a square root?A real square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Nolan used the following procedure to find an estimate for
[tex]\sqrt{18}[/tex]
Step 1:The square of the number 4 is,
[tex]4^2=16[/tex]
The square of the number 5 is,
[tex]5^2=25[/tex]
Number 18 lies between these number as,
[tex]16 < 18 < 25[/tex]
Therefore, the [tex]\sqrt{18}[/tex] is somewhere between the number 4 and 5.
Step 2:Since 18 is closer to 16, square the tenths closer to 4.
[tex]{4. 1 }^2= 16. 81\\{4. 2 }^2= 17.64\\{4. 3}^2= 18.49\\{4. 4}^2= 19.36\\[/tex]
This step is also correct, when squaring.
Step 3:Since 18.49 rounds to 18, 4.3 is the best approximation for [tex]\sqrt{18}[/tex].
All the above steps are correct.
Thus, Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.
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Answer:
The answer is C: In step 3, he should have determined which square is closest to 18.
Arithmetic and geometric sequences plato/edumentuM
Answer:
A
Step-by-step explanation:
every term of the sequence is created by multiplying the previous term by -2.4
to get the ratio (or multiplication factor) of the sequence :
4 × r = -9.6
r = -9.6/4 = -2.4
and as you can easily check, the following y values use the same factor.
so, as multiplication is used, it is a geometric sequence.
if addition were used, it would be an arithmetic sequence.
but the differences between the y values are clearly not constant (as it would be, if we added a fixed constant to every term to create the next).
so, B and D are automatically wrong.
and C is wrong, because the given ratio or multiplication factor cannot be right :
4 × 0.4 = 1.6 and never -9.6
you bought a magazine for $5 and four erasers you spent a total of $25 how much did each eraser cost
Answer:
the answer is 5
Step-by-step explanation:
eh
What would 5/6 ÷ by 2000 equals too
Answer:
1/2400 or 0.0004167
Step-by-step explanation:
The question can be written as :
5/6 ÷ 2000/1
This is equal to:
5/6 * 1/2000 -------introducing the product sign and the reciprocal of 2000/1
simplify as;
5/6 * 1/2000 = 1/6 *1/400 ---------dividing 5 by 2000 to get 1/400
perform multiplication
1/6 * 1/400 = 1/2400
Answer : 1/2400 or 0.0004167
just help IM IN DESPERATE NEED
Answer:
C. Translate trapezoid 1 to the right 10 units, then translate the resulting figure down 9 units.
Step-by-step explanation:
Hope this helps you out!
OwO
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During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation 2/7= t/54-t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answer: the engineer counted t/26 trucks
Step-by-step explanation:
Hi yess my user name is my number teehee
Water flows through a pipe at a rate of 5 fluid ounces per minute. Express this rate of flow in gallons per hour. Round your answer to the nearest hundredth. help!!!
Answer:
2.34 gallons per hour
Step-by-step explanation
5 fluid ounces = 0.0390625 gallons
60 min = 1 hour
0.0390625 x 60min = 2.34 gallons per hour
Is this sequence arithmetic or geometric? And what is the equation? 301, 358, 415, 472…
Answer:
a_n = 244 + 57n, for n ≥ 1
Step-by-step explanation:
358 - 301 = 57
415 - 358 = 57
472 - 415 = 57
There is a constant difference, so the sequence is arithmetic.
a_1 = 301
a_2 = 358 = a_1 + 57
a_3 = 415 = a_1 + 57 × 2
a_4 = 472 = a_1 + 57 × 3
a_n = a_1 + 57 × (n - 1)
a_n = 301 + 57(n - 1)
a+n = 301 + 57n - 57
a_n = 244 + 57n, for n ≥ 1
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her that she has 7 years to pay off all of her loans, and that starting this month, the loans will be compounded monthly at a fixed annual rate of 9.1%. Erica currently has a total of $34,006.00 in student loans. Use the formula for the sum of a finite geometric sequence to determine Erica's approximate monthly payment.
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
[tex]A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ][/tex]
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
[tex]0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ][/tex]
[tex]M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85[/tex]
Therefore, the approximate monthly payment = $548.85
Determine whether y varies directly with x. If so, find the constant of variation k. –6y = –5x
Answer:
5/6Step-by-step explanation:
Direct variation formula
y = kxGiven
-6y = -5xy = 5/6xThis is the direct variation with the constant of:
k = 5/6Answer:
the value of y varioes directly with the value of x.
Step-by-step explanation:
so k= 5x/6y
hope it helps
please can someone help me
Answer:
150, 108, 90 , 12
Step-by-step explanation:
Angle in France:
= Fraction occupied by France x 360 degrees
= 25/60 x 360
= 150
Angle in Spain:
= 18/60 x 360
= 108
Angle in Greece:
= 15/60 x 360
= 90
Angle in OTHER:
= 2/60 x 360
= 12
What is the area of the following figure?
Answer:
180 units
Step-by-step explanation:
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles. The square tile is One-half foot by One-half foot and costs $0. 45 per tile. The rectangular tile is 2 feet by One-fourth foot and costs $0. 80 per tile. Which tile should Orchid choose to minimize costs? Explain. She should choose the square tiles because the total cost will be $8 less. She should choose the rectangular tiles because the total cost will be $8 less. She should choose the square tiles because the total cost will be $14 less. She should choose the rectangular tiles because the total cost will be $14 less.
The tile should Orchid choose, to minimize costs, is rectangular tiles. The total cost will be $8 less.
What is the area of square and rectangle?Area of square is the square of its sides length. Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length rectangle and (b) is the width of the rectangle.
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles.
The square tile is One-half foot by One-half foot. Thus, the area of square tile is,
[tex]A=\left(\dfrac{1}{2}\right)^2\\A=\dfrac{1}{4}\rm ft^2[/tex]
Total square tiles required for 40 square feet area,
[tex]n=\dfrac{40}{\dfrac{1}{4}}\times\\n=160[/tex]
Square tile costs $0.45 per tile. Thus, the cost of 160 square tile is,
[tex]C_s=0.45\times160\\C_s=72[/tex]
The rectangular tile is 2 feet by One-fourth foot. Thus the area of thios tile is,
[tex]A_r=2\times\dfrac{1}{4}\\A_r=\dfrac{1}{2}\rm\;ft^2[/tex]
Number of rectangular tiles required for 40 square feet area,
[tex]n=\dfrac{40}{\dfrac{1}{2}}\\n=80[/tex]
The cost of this tile is $0.80 per tile. Thus, the cost of 80 rectangle tiles is,
[tex]C_s=0.8\times80\\C_s=64[/tex]
Hence, the cost of rectangular tile is $8 less than the square tile.
Thus, the tile should Orchid choose to minimize costs, is rectangular tiles. The total cost will be $8 less.
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The perimeter of a square field is 64 m. If the field is surrounded by a running path of width 3.5 m, find the area of the path. How to solve
Answer: 465m squared
(But I think I did this wrong)
Step-by-step explanation:
First, find the area of the whole thing
So 23 x 23 = 529
Now the field: 16 x 16 = 64
Then, subtract both of the areas to find the area of the path:
529 - 64 = 465
-1/2 multiplied by -4/5
Answer:
0.4
Step-by-step explanation:
185285468+99548-19576+754
Answer:
[tex]\sf\fbox\red{Answer:-}[/tex]
185366194
[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]
1. Find the product of 8,412 x 43 2. A jewelry store has 8/10 of gold. They Need 1/5-ounce groups. how many groups do they need?
3. on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day?
Answer:
1. 361716 2. 4 3. ?
Step-by-step explanation:
A square tile is decorated with triangles and dot patterns. This tile is rotated into this new position. Which tile sections should have a dot ?
Answer:
the correct answer is the square
Elva monitors her savings account online. On Monday she withdraws money, and the change to her balance is -$51.25. On Tuesday she deposits money and the change to her balance is +$39.50. She wants to know the total change in her account after the two transactions.
Answer:
39.50 + -51.25 is the expression
Step-by-step explanation:
I got it correct on I-ready!
Answer:
39.50+(-51.25)
Explanation:
Hope this helps 'cause it's correct! :)
What number is 40% of 3,600
Answer:
40% of 3,600 is 1440
Step-by-step explanation:
The modified expression, x3(2x 5) – 4(2x 5), has two terms with a common factor of.
Answer:
Step-by-step explanation:
You need to use the distributive property to take out the common factor. But that doesn't tell you what the common factor is.
Look inside the brackets. You need to find something that is exactly the same on either side of the minus sign. In this case you have a huge cle about what it is.
2x^5 is it not? I'm assuming that's the correct way to read it.
So that's the answer to your question 2x^5.
The distributive property will tell you that 2x^5 can be taken out, and what is left is
2x^5 ( x^3 - 4)
Write 5 x 10 to the 6th power in standard notation.
Answer: 5*10^6
10^6 = 1,000,000 or you can write it as 1 with 6 zeros.
I hope this helps you out.
Crystal said she used the distributive property to evaluate 5(4 + 7). These are the steps she took:
5(4 + 7) = 5⋅4 + 7 = 20 + 7 = 27
What mistake did Crystal make? What is the correct answer to 5(4 + 7)?
Type a paragraph
Answer:
Crystal's mistake was that she distributed the 5 only to the 4, not to the 7 as well.
The correct step should have been 5(4 + 7) = 5⋅4 + 5⋅7.
Using the distributive property correctly would give the sum of the two products, 20 + 35. The value of 5(4 + 7) is 55.
The value of 5(4 + 7) is 55.
It is required to find the correct answer.
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. It eliminates useless and disadvantageous (or unnecessary) diversity and variety.
Given that:
By the Distributive Property
If a, b, c are real numbers, then
a*(b+c)=a*b+a*c
Crystal's did mistake was that she distributed the 5 only to the 4, not to the 5 to 7 as well.
First distribute and then multiply, we get
The correct step should have been
= 5(4 + 7)
= 5⋅4 + 5⋅7.
= 20 + 35.
= 55
Therefore, the value of 5(4 + 7) is 55.
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Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. How long would it take han to run 50 meters.
Hans would take 13.5 seconds to run 50 meters
Priya would take 12 seconds to run 50 meters
--------------------------------------------------------------------------------
Since they each ran 10 meters for a certain amount of time you would multiply the seconds by 5 since 10x5=50
When you do that you get
13.5 for Han's time by multiplying 2.7x5=13.5
and
12 seconds for Priya's time by multiplying 2.4x5
You are at a trade show where you are selling baseball cards for $4 a card and buying baseball cards for $6 a card. If you started the day with $200, how much money do you have at the end of the day if you sold c baseball cards and bought b baseball cards?
Answer:
200 +4c -6b
Step-by-step explanation:
Your ending balance is the sum of your beginning balance plus sales, less your purchases. If each sale nets $4, then c sales will increase your balance by 4c. If each purchase costs $6, then b purchases will reduce your balance by 6b.
Your ending balance is ...
200 +4c -6b
3 over 7 of 2 over 7 is equal to
[tex] \frac{ \frac{3}{7} }{ \frac{2}{7} } = \frac{3}{7} \div \frac{2}{7} = \frac{3}{7} \times \frac{7}{2} = \frac{3}{2} \\ [/tex]
Jasmine has $700 in her checking account at the beginning of the school year at college. She
predicts that she will need $30 a week for food and traveling expenses. She wants to have at least
$250 in her account. For how many weeks can she withdraw money from her account?
Answer:
15 weeks
Step-by-step explanation:
Answer:
15 Weeks
Step-by-step explanation:
Let's Begain
starts with $700
she will need $30 per week
Wants atleast $250 left in her account
700 - 250 = 450/30= 15
Which expression would be easier to simplify if you used the associative property to change the grouping
Answer:
A it is so simple just try it
Answer: C
Step-by-step explanation: