Answer:
Add 6 red squares and 4 green onesa.I don't know if there are more answers for 2, but a is correct.
3x^2-12x factorise in the form (x+b)(x-b)
Answer:
[tex]3x(x-4)[/tex]
Step-by-step explanation:
[tex]3x^2-12x[/tex] cannot be factorised in the form (x+b)(x-b) unless one of the b's is zero, so I wonder if the expression is incomplete?
To factorise [tex]3x^2-12x[/tex], take out the common factor [tex]3x[/tex]:
[tex]\implies3x(x-4)[/tex]
Therefore, x = 0 and x = 4
- - - - - - - - -
[tex]3x^2-12x[/tex] factorised in the form (x+b)(x-b) would be [tex](3x+0)(x-4)[/tex]
but it is not usual to have a zero in a factorised form.
As a New Year's resolution, Jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months. Listed below are the balances and annual percentage rates for Jimmy's credit cards. In order to pay his credit card debt off in the next 12 months, what will Jimmy's total minimum credit card payment be? Credit Card Current Balance APR A $563. 00 16% B $2,525. 00 21% C $972. 00 19% D $389. 00 17% a. $321. 83 b. $361. 45 c. $374. 65 d. $411. 25.
The total minimum credit card payment of Jimmy's credit card bill which he wants to pay as New Year's resolution is $449.24.
What is interest amount?Interest is the amount charged on the principal amount with a fixed rate of interest for a time period.
As a New Year's resolution, Jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months.
The balances and annual percentage rates for Jimmy's credit cards is,
Credit Card Current Balance APR
A $563. 00 16% a. $321. 83
B $2,525. 00 21% b. $361. 45
C $972. 00 19% c. $374. 65
D $389. 00 17% d. $411. 25.
The monthly payment for credit car A is,
[tex]P_m=\dfrac{563}{{[1-(1+\dfrac{0.16}{12})]}^{\dfrac{-12}{0.16/12}}}\\P_m=51.08[/tex]
The total monthly payment is,
[tex]P_t=51.08\times12\\P_t=612.96[/tex]
Now, the charge of interest is,
[tex]I=612.96-563\\I=49.96[/tex]
Similarly, for credit card B is interset charge is $296.32 and for C is $102.96.
Thus, the total interest charge is,
[tex]I=46.96+296.32+102.96\\I=449.24[/tex]
Thus, the total minimum credit card payment of Jimmy's credit card bill which he wants to pay as New Year's resolution is $449.24.
Learn more about the interest here;
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40 points help please A right cylinder has a radius of 7 cm and a height of 3 cm.
SHOW YOUR WORK
(a) Find the Surface Area of the cylinder.
(b) Find the Volume of the cylinder.
(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?
1. Doubling the radius to 14 cm, while the height remains 3 cm.
or
2. Tripling the height to 9 cm, while the radius remains 7 cm.
Step-by-step explanation:
(a) use surface area formula of cylinder that is for Lateral surface area and for total surface area
LSA= 2πrh
TSA= 2πr(h+r)
(b) volume of cylinder= πr^2h
..........
Rhea sold 6 boxes of blueberry muffins and 8 boxes of corn muffins at the bake sale. Each box contained 18 muffins. The muffins cost $0.50 each. What is the total amount raised by the sale of the muffins?
Also if you can (you don't have to), would you mind including an estimate?
I nee help. Can anyone help please.
∠1+∠7=180°
7x+8+10x+2=180
17x+10=180
17x=170
x = 10
Find the area of the triangle ABC.
Answer:
24
Step-by-step explanation:
6*8=24
A plumber charges $25 for a service call plus $50 per hour of service. A. Write an equation in slope-intercept form for the cost, C, after h hours of service. B. What will be the total cost for 7 hours of work? C.If the total cost was $475, how many hours did he work?
Answer:
ad 25
Step-by-step explanation:
then your get together
I need help please
100x+260>260
Answer:
x=0
Step-by-step explanation:
100x+260-260>260-260
100x>260-260
100x>0
Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.
Answer:
y = 3/2x - 8 hope I helped
Step-by-step explanation:
To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).
2y = 3x + 10 --> almost there already, just divide everything by 2 to get y by itself.
y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2
They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.
Now we know that our slope is m = 3/2 and our point is (2, -5)
You can always find the equation of a line using the Point-Slope Formula:
y - y1 = m(x - x1) --> our x1 is 2 and our y1 is -5, and slope is 3/2
y - (-5) = 3/2(x - 2) --> Be careful when you have minus a negative number, like we do here. It becomes:
y + 5 = 3/2(x - 2) --> now distribute the 3/2
y + 5 = 3/2x - 6/2
y + 5 = 3/2x - 3 --> now we can subtract 5 from both sides to get it into slope intercept form.
y = 3/2x - 8 --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)
What is the value of X in a triangle
Answer:
It should be 71
Step-by-step explanation:
every triangles equals to 180
so 180 - 38 - 71 = 71
A jar has sweets which are either yellow or pink. For every five yellow sweets, there are six pink ones. There are 20 yellow sweets in the jar
Answer:
24
Step-by-step explanation:
Here is how you do this
If there is 20 yellow sweets, and for every 5 yellow you have 6 pink you need to divide 20/5 (4)
then you would do 6*4 which would be 24
Answer:
24
Step-by-step explanation:
There are 5 yellow candies for every 6 candies.
5x4 is 20, and we know there are 20 yellow candys (The 5 in the multiplication problem being the 5 yellow candies for every 6 candies.).
So, then I multiplied 6x4 to get 24. This may not always work but it is a (I believe) a proportional relationship.
What is the correct way to write 6. 3×10−8 in standard notation?.
Answer:
I think it is .000000063
(7 zeros behind the decimal.)
Hope this helps!!!
Step-by-step explanation:
pls mark Brainliest
The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number. Use a system of linear equations to justify your answer.
Answer:
x = 23 and y = 15
Let one number be x and another be y
The sum of two numbers is 38
x + y = 38
x = 38 - y
The greater number is 8 more than the other number.
x - y = 8
x = 8 + y
solve both equations:
8 + y = 38 - y
y + y = 38 - 8
2y = 30
y = 15
solve for x:
x = 8 + y
x = 8 + 15
x = 23
Let one number be x and another be y
The sum of two numbers is 38
x + y = 38
x = 38 - y
The greater number is 8 more than the other number.
x - y = 8
x = 8 + y
solve both equations:
8 + y = 38 - y
y + y = 38 - 8
2y = 30
[tex]{{\bold{{{{{ \green{y = 15}}}}}}}}[/tex]
solve for x:
x = 8 + y
x = 8 + 15
[tex]{{\bold{{{{{ \green{x = 23}}}}}}}}[/tex]
[tex]{{\bold{{{{{ \red{so, x \: = 23 \: and \: y \: = 15}}}}}}}}[/tex]
What is exactly 3/5 of a full rotation
pls pls pls pls help me
Answer:
7% discount
Step-by-step explanation:
The discounted amount is $2.31 incase you needed that too
29m area rounded nearest tenth
Answer:
The height of building is 21 m
Step-by-step explanation:
According to the Pythagorus Theorem
(Hypotenuse)² = (Base)² + (Perpendicular)²
We need to find out the perpendiclar so arranging the equation
(Hypotenuse)² - (Base)² = (Perpendicular)²
Putting the values
(36)² - (29)² = (Perpendicular)²
1296 - 841 = (Perpendicular)²
455 = (Perpendicular)²
Taking Square root on both sides
√455 = √(Perpendicular)²
21.33 = Perpendicular
Rounding off the value is 21 m
Answer:
In short: 29 rounded to the nearest ten is 30.
Step-by-step explanation:
Locate the tens place (2) then look at the digit to the right (9): In this case, the digit to the right (9) is 5 or above. So, we add 1 to the tens place (2).The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 30 as the answer.
Adam earns $36 for every four hours of work. If he continues to be paid at the same rate. How long will it take him to earn $225??
Answer:
It will take him 6.25 hours to earn $225
Step-by-step explanation:
225 ÷ 36 = 6.25
6.25 = 6 1/4
You are dividing the total amount of money needed to be earned ($225) by the amount of money he gets paid every hour ($36) to get the number of hours it will take him to earn the amount of money he wants to earn.
Hope this helps!
Answer:
25 hours / 1 day and 1 hour
Step-by-step explanation:
Rm36 ÷ 4 hours = 1 hour Rm9
Rm225 ÷ 9 hours = 25 hours
Please give me brainliest ;)
I need help with this please! Thanks :)
Which of these is the result of completing the square for the expression x^2 + 8x – 30?
Answer:
Option 2. That is the best option for this problem
I will give brainilest!!!
Answer:
Step-by-step explanation:
By the vertical angle theorem which states that angle opposite to each other is equal, we know the whole angle opposite to the angle that is 90 degrees (since it has a little square on the angle) is also ninety degrees.
However, that angle is split into two more angles one that is 22 degrees and the other being x degrees. Yet both of them added up equal to 90 degrees.
Thus we get the equation:
x + 22 = 90
x = 68 degrees
Hope that helps!
Answer:
68°
Step-by-step explanation:
Each sides is 90°
therefore, 22° - 99°
= 68°
translate the sentence into a equation
“The sum of 5 times a number and 8 is 9.”
Answer:
Hello lovely person! Welcome to Brainly! <3
Your answer will be 5x + 8 = 9
Step-by-step explanation:
We know that the word sum indicates addition, and this applies to the number 5. So we know that we will be adding 5 somewhere in this equation.We are also given the phrase "times a number." Times means multiply. When we are given an unknown variable ("a number") we use a letter to represent it, such as X.Now we know that the word "is" means equals, so that is where we put the = sign. Since it says "is 9" we know that it means "= 9"So we can put all of this information together to create our equation.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Problem 3: Housing
A house that originally was worth $150,000, has grown in value at a rate of 3% per year for the
last 10 years. To the nearest dollar, how much is it worth now?
Answer:
the house is worth 201587 after 10 years.
Step-by-step explanation:
after the first year, the value is 154500.
after the second, 159135.
after the third, 163909.
after the fourth, 168826.
after the fifth, 173891.
after the sixth, 179108.
after the seventh, 184481.
after the eighth, 190015
after the ninth, 195716.
after the tenth, 201587.
You roll a number cube twice. What is the probability of rolling a 5 first and then rolling an even number?
1/4
1/3
1/12
1/36
Can some pls answer!!
Answer:
1/12
Step-by-step explanation:
probability of rolling a 5 is 1/6
probability of rolling an even number is 3/6 that simplified is 1/2
-Multiply 1/6 by 1/2 and you get 1/12
I WILL GIVE BRAINIEST!
Write a word problem with the numbers: 70, 100, and 850.
Answer:
70x-100=850
Step-by-step explanation:
70x-100=850
We move all terms to the left:
70x-100-(850)=0
We add all the numbers together, and all the variables
70x-950=0
We move all terms containing x to the left, all other terms to the right
70x=950
x=950/70
x=13+4/7
Assume that y varies directly with
x, then solve.
If y=4 when x=12, find y when x=-24.
y = [ ? ]
Answer:
y = 8
Step-by-step explanation:
12 x 2 is 24, so I'm assuming y is also times 2. 4 x 2 is 8
Answer:
8
Step-by-step explanation:
4:12
y:24
4:12=y:24
4/12=y/24
24x4/12
96/12
8
A person invests 8000 dollars in a bank. The bank pays 6.5% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10500 dollars?
Answer: It
should be about 1.5 years
Step-by-step explanation:
1.143 years must the person leave the money in the bank until it reaches 10500 dollars.
What is Interest?Interest, in its most simple form, is calculated as a percent of the principal.
For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.
We have,
Interest amount= $8000
R= 6.5%
Time= t
Total amount= $10, 500
So, A = P(1 + r/n[tex])^{nt[/tex]
10,500 = 8000 (1+ 0.065/4[tex])^{4t[/tex]
1.3125 = (1.01625[tex])^{4t[/tex]
Taking log both side
log (1.3125) = 4t log(1.06125)
4t = 4.574
t= 1.143 years
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If a mason can make 12 hollow blocks in 3 h, how many hollow blocks can he make in 10 h?
Answer:
40 hollow blocks
Step-by-step explanation:
12/3= 4 hollow blocks per hour
10x4=40 hollow blocks in 10 hours
Which relation below is a function?
PLEASE I Need help
Answer:
B
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs do not classify the relationship as a function.
Answer:
D is Function and A, B and C are Non-Function
Step-by-step explanation:
If we looked at A, B and C we will see that X has the same values.
Rules: Function should always have different X values.
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000? –5 –3. 5 –1. 5 1. 5.
The Z-score of an employee making an annual salary of $28000 is -1.5.
It is given that,
Mean μ = $34000
Standard deviation σ = $4000
Salary x = $28000
What is a z-score?Z-score is a numerical measurement that describes a value's relationship to the mean of values.
Formula to calculate z-score = (x - μ)/σ
So, z-score = (28000-34000)/4000z = -1.5
Therefore, the z-score of an employee making an annual salary of $28000 is -1.5.
To get more about z-score, refer to the link:
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The length and width of a rectangle is 8 units and 4 units respectively. Find the area of the rectangle.
Answer:
32units
Step-by-step Explanation :
Area of rectangle = length × Width
x = 8 × 4
x = 32
Given,
• Length = 8 units
• Width= 4 units
Formula :-
★ Area of Rectangle = Length × Width
Now, Solve :
Area = 8 x 4 = > 32 square units
★ Hence, Area of Rectangle is 32 units.
[tex]\huge\red{✎﹏﹏﹏﹏﹏﹏﹏}[/tex]Find the zeros
[tex]\\ \rm\Rrightarrow 4x^3-15x^2+10x-6=0[/tex]
Note:-
Make sure you include all steps.
Proper explanation is mandatory .
Spams/irrelevant/wrong/copied answers will be deleted on the spot so don't waste your precious time here by spamming .
Instead provide good explanation and correct answer
Answer:
[tex]x=3.099566703 \textsf{ (9 dp)}[/tex]
Step-by-step explanation:
Newton-Rhapson method
This iterative method finds roots of equations in the form f(x) = 0 when an equation cannot be solved using the usual analytical methods
This method works by finding the tangent to a function at a point [tex]x_0[/tex], and using its x-intercept for the next iteration, [tex]x_1[/tex]. Repeating the process iteratively gets you closer to the root.
Newton-Rhapson formula
[tex]x_{n+1}=x_n-\dfrac{f(x_n)}{f'(x_n)}[/tex]
Given function:
[tex]f(x)=4x^3-15x^2+10x-6=0[/tex]
First check that the function is in the form f(x) = 0 ← yes!
(if it is not, rearrange it so that it is equal to zero)
Now differentiate the function:
[tex]f'(x)=12x^2-30x+10[/tex]
Substitute the function and its derivative into the N-R formula:
[tex]x_{n+1}=x_n-\dfrac{4{x_n}^3-15{x_n}^2+10{x_n}-6}{12{x_n}^2-30{x_n}+10}[/tex]
To determine which value to set as [tex]x_0[/tex] examine the function.
[tex]f(x)=4x^3-15x^2+10x-6[/tex] is a cubic function with a positive leading coefficient.
Therefore, its endpoint behavior is:
[tex]f(x) \rightarrow \infty \textsf{ as } x \rightarrow \infty\\f(x) \rightarrow -\infty \textsf{ as } x \rightarrow -\infty[/tex]
Its y-intercept is (0, -6)
It's turning points are when [tex]f'(x)=0[/tex]
Therefore, using the quadratic formula, its turning points are:
[tex]x=\dfrac{-(-30)\pm\sqrt{(-30)^2-4(12)(10)}}{2(12)}=\dfrac{15\pm\sqrt{105}}{12}[/tex]
Sketching the graph (see attached) suggests that the x-intercept will be when:
[tex]x > \dfrac{15+\sqrt{105}}{12}[/tex]
[tex]\implies x > 2.1039...[/tex]
Let's start with inputting values of x = 3 and x = 4 into the function:
[tex]f(3)=4(3)^3-15(3)^2+10(3)-6=-3\\f(4)=4(4)^3-15(4)^2+10(4)-6=50[/tex]
The x-intercept will be between values where there is a change in sign. As there is a change in sign between f(3) and f(4), the root is [tex]3 < x < 4[/tex]
Therefore, let [tex]x_0=3[/tex]
[tex]\implies x_{1}=x_0-\dfrac{4{x_0}^3-15{x_0}^2+10{x_0}-6}{12{x_0}^2-30{x_0}+10}[/tex]
[tex]\implies x_{1}=3-\dfrac{4(3)^3-15(3)^2+10(3)-6}{12(3)^2-30(3)+10}=\dfrac{87}{28}[/tex]
[tex]\implies x_{2}=x_1-\dfrac{4{x_1}^3-15{x_1}^2+10{x_1}-6}{12{x_1}^2-30{x_1}+10}=3.099605842...[/tex]
[tex]\implies x_{3}=x_2-\dfrac{4{x_2}^3-15{x_2}^2+10{x_2}-6}{12{x_2}^2-30{x_2}+10}=3.099566704...[/tex]
[tex]\implies x_{4}=x_3-\dfrac{4{x_3}^3-15{x_3}^2+10{x_3}-6}{12{x_3}^2-30{x_3}+10}=3.099566703...[/tex]
[tex]\implies x_{5}=x_4-\dfrac{4{x_4}^3-15{x_4}^2+10{x_4}-6}{12{x_4}^2-30{x_4}+10}=3.099566703...[/tex]
Therefore, [tex]x=3.099566703 \textsf{ (9 dp)}[/tex]