Answer:
5.19
Step-by-step explanation:
Dan Miller has been granted $120,000 mortgage loan. When signing the papers to purchase his new home, he will need to pay closing costs, what's are the total costs?
Answer:1222
Step-by-step explanation:
this is why this the answer
[tex]776{x} 34344[/tex]is 48/6 an integer?
No, because intergers don't include fractions.
Answer:
No
Step-by-step explanation:
Integers cannot have any fractions.
If you simplify this to get 8/1 and then 8, 8 is an integer
what is 15% of 140? solve for x
Answer:
21
Step-by-step explanation:
140*0.15 is 21
Answer:
21
Step-by-step explanation:
Find the 22nd term of the arithmetic sequence whose common difference is d=4 and whose first term is a, = 3
Answer:
Step-by-step explanation:
t22 = a + (n- 1)d
t22 = 3 + 21*4
t22 = 3 + 84
t22 = 87
10
A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
P(milk)
=
Answer:
5/14
Step-by-step explanation:
5 + 9 = 14- so our denominator is 14
Theres 5 milk chocolates, so the probability is 5/14
I hope this helped, please mark Brainliest, thank you !!
A farmer has 30 boxes of eggs.
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form.
The ratio of the number of eggs in three boxes to the total number of eggs is 1: 15 in its simplest terms.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b". Then their ratio will be formed as;
[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]
where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.
Thus, a = px, b = qx
We have given that farmer 30 boxes of eggs. and there are 6 eggs in each box.
Thus, we know that the total number of eggs is the same as the number of eggs given in 30 boxes.
Hence, the ratio will be;
2: 30,
then divide both sides by 2 ;
1: 15
Therefore, the ratio of the number of eggs in three boxes to the total number of eggs is 1: 15 in its simplest terms.
Learn more about ratios here:
brainly.com/question/186659
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PLEASE HELP, MARKING BRAINLIEST!!!!
Which congruence statement do the triangles show?
A. SAS
B. AAS
C. ASA
D. SSS
E. HL
F. Not enough information
Answer:
A ( SAS )
Step-by-step explanation:
Nathan took his car in for service and repairs. He had a coupon for 15% off.
Original Prices
• Labor $220.43
• Parts $340.47
• Other $61.97
Which amount is closest to Nathan's total costs after the 15% discount and including 7% sales tax? [Assume tax is applied after the discount is applied.]
A.
$486
B.
$567
C.
$529
D.
$492
Write the polynomial in standard form. State the degree and leading coefficient:
−9 + 7m^3 − 11m + 3/5m^5
Degree:_____________
Leading Coefficient:_____________
Answers:
Standard form = [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]Degree = 5Leading coefficient = 3/5===================================================
Explanation:
The largest exponent term is what will go first. Then the term with the second largest goes next, and so on. We count the exponents down. The exponents will count down in this case as 5, 3, 1, 0
Note: -9 = -9*1 = -9m^0 and -11m = -11m^1
So that's why standard form is [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]
We can write this as (3/5)m^5 + 7m^3 - 11m - 9
------------------------
The leading term is the first term after getting everything in standard form. The coefficient of the leading term is the leading coefficient. So in this case, it would be 3/5.
The degree is the largest exponent. So the degree is 5. This is a quintic polynomial.
Hi. I need help with these questions.
See image for question.
Answer:
Step-by-step explanation:
Plug in the stated values for x
(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3
2 + 3 - 1 + 2 - 3 = 1 + 2 = 3
f(1) = 3
(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3
2 * 1 + 3(-1) - 1 + 2(-1) - 3
2 + -3 -1 -2 - 3 = 2 - 9 = -7
f(-1) = -7
(c) 2(0) + 3(0) - 0 + 0 - 3
0 - 3 = -3
f(0) = -3
d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3
1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3
16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4
f(-1/2) = -9/2
If it exists, solve for the inverse function of each of the following:
1. f(x) = 25x - 18
6. gala? +84 - 7
7. 10) = (b + 6) (6-2)
3. A(7)=-=-
4. f(x)=x
9. h(c) = V2c +2
+30
10. f(x) =
5. f(a) = a +8
ox-1
2. 9(x) = -1
2x+17
8. () - 2*
Answer:
The solution is too long. So, I included them in the explanation
Step-by-step explanation:
This question has missing details. However, I've corrected each question before solving them
Required: Determine the inverse
1:
[tex]f(x) = 25x - 18[/tex]
Replace f(x) with y
[tex]y = 25x - 18[/tex]
Swap y & x
[tex]x = 25y - 18[/tex]
[tex]x + 18 = 25y - 18 + 18[/tex]
[tex]x + 18 = 25y[/tex]
Divide through by 25
[tex]\frac{x + 18}{25} = y[/tex]
[tex]y = \frac{x + 18}{25}[/tex]
Replace y with f'(x)
[tex]f'(x) = \frac{x + 18}{25}[/tex]
2. [tex]g(x) = \frac{12x - 1}{7}[/tex]
Replace g(x) with y
[tex]y = \frac{12x - 1}{7}[/tex]
Swap y & x
[tex]x = \frac{12y - 1}{7}[/tex]
[tex]7x = 12y - 1[/tex]
Add 1 to both sides
[tex]7x +1 = 12y - 1 + 1[/tex]
[tex]7x +1 = 12y[/tex]
Make y the subject
[tex]y = \frac{7x + 1}{12}[/tex]
[tex]g'(x) = \frac{7x + 1}{12}[/tex]
3: [tex]h(x) = -\frac{9x}{4} - \frac{1}{3}[/tex]
Replace h(x) with y
[tex]y = -\frac{9x}{4} - \frac{1}{3}[/tex]
Swap y & x
[tex]x = -\frac{9y}{4} - \frac{1}{3}[/tex]
Add [tex]\frac{1}{3}[/tex] to both sides
[tex]x + \frac{1}{3}= -\frac{9y}{4} - \frac{1}{3} + \frac{1}{3}[/tex]
[tex]x + \frac{1}{3}= -\frac{9y}{4}[/tex]
Multiply through by -4
[tex]-4(x + \frac{1}{3})= -4(-\frac{9y}{4})[/tex]
[tex]-4x - \frac{4}{3}= 9y[/tex]
Divide through by 9
[tex](-4x - \frac{4}{3})/9= y[/tex]
[tex]-4x * \frac{1}{9} - \frac{4}{3} * \frac{1}{9} = y[/tex]
[tex]\frac{-4x}{9} - \frac{4}{27}= y[/tex]
[tex]y = \frac{-4x}{9} - \frac{4}{27}[/tex]
[tex]h'(x) = \frac{-4x}{9} - \frac{4}{27}[/tex]
4:
[tex]f(x) = x^9[/tex]
Replace f(x) with y
[tex]y = x^9[/tex]
Swap y with x
[tex]x = y^9[/tex]
Take 9th root
[tex]x^{\frac{1}{9}} = y[/tex]
[tex]y = x^{\frac{1}{9}}[/tex]
Replace y with f'(x)
[tex]f'(x) = x^{\frac{1}{9}}[/tex]
5:
[tex]f(a) = a^3 + 8[/tex]
Replace f(a) with y
[tex]y = a^3 + 8[/tex]
Swap a with y
[tex]a = y^3 + 8[/tex]
Subtract 8
[tex]a - 8 = y^3 + 8 - 8[/tex]
[tex]a - 8 = y^3[/tex]
Take cube root
[tex]\sqrt[3]{a-8} = y[/tex]
[tex]y = \sqrt[3]{a-8}[/tex]
Replace y with f'(a)
[tex]f'(a) = \sqrt[3]{a-8}[/tex]
6:
[tex]g(a) = a^2 + 8a- 7[/tex]
Replace g(a) with y
[tex]y = a^2 + 8a - 7[/tex]
Swap positions of y and a
[tex]a = y^2 + 8y - 7[/tex]
[tex]y^2 + 8y - 7 - a = 0[/tex]
Solve using quadratic formula:
[tex]y = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]a = 1[/tex] ; [tex]b = 8[/tex]; [tex]c = -7 - a[/tex]
[tex]y = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes
[tex]y = \frac{-8 \±\sqrt{8^2 - 4 * 1 * (-7-a)}}{2 * 1}[/tex]
[tex]y = \frac{-8 \±\sqrt{64 + 28 + 4a}}{2 * 1}[/tex]
[tex]y = \frac{-8 \±\sqrt{92 + 4a}}{2 * 1}[/tex]
[tex]y = \frac{-8 \±\sqrt{92 + 4a}}{2 }[/tex]
Factorize
[tex]y = \frac{-8 \±\sqrt{4(23 + a)}}{2 }[/tex]
[tex]y = \frac{-8 \±2\sqrt{(23 + a)}}{2 }[/tex]
[tex]y = -4 \±\sqrt{(23 + a)}[/tex]
[tex]g'(a) = -4 \±\sqrt{(23 + a)}[/tex]
7:
[tex]f(b) = (b + 6)(b - 2)[/tex]
Replace f(b) with y
[tex]y = (b + 6)(b - 2)[/tex]
Swap y and b
[tex]b = (y + 6)(y - 2)[/tex]
Open Brackets
[tex]b = y^2 + 6y - 2y - 12[/tex]
[tex]b = y^2 + 4y - 12[/tex]
[tex]y^2 + 4y - 12 - b = 0[/tex]
Solve using quadratic formula:
[tex]y = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]a = 1[/tex] ; [tex]b = 4[/tex]; [tex]c = -12 - b[/tex]
[tex]y = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes
[tex]y = \frac{-4\±\sqrt{4^2 - 4 * 1 * (-12-b)}}{2*1}[/tex]
[tex]y = \frac{-4\±\sqrt{4^2 - 4 *(-12-b)}}{2}[/tex]
Factorize:
[tex]y = \frac{-4\±\sqrt{4(4 - (-12-b))}}{2}[/tex]
[tex]y = \frac{-4\±2\sqrt{(4 - (-12-b))}}{2}[/tex]
[tex]y = \frac{-4\±2\sqrt{(4 +12+b)}}{2}[/tex]
[tex]y = \frac{-4\±2\sqrt{16+b}}{2}[/tex]
[tex]y = -2\±\sqrt{16+b}[/tex]
Replace y with f'(b)
[tex]f'(b) = -2\±\sqrt{16+b}[/tex]
8:
[tex]h(x) = \frac{2x+17}{3x+1}[/tex]
Replace h(x) with y
[tex]y = \frac{2x+17}{3x+1}[/tex]
Swap x and y
[tex]x = \frac{2y+17}{3y+1}[/tex]
Cross Multiply
[tex](3y + 1)x = 2y + 17[/tex]
[tex]3yx + x = 2y + 17[/tex]
Subtract x from both sides:
[tex]3yx + x -x= 2y + 17-x[/tex]
[tex]3yx = 2y + 17-x[/tex]
Subtract 2y from both sides
[tex]3yx-2y =17-x[/tex]
Factorize:
[tex]y(3x-2) =17-x[/tex]
Make y the subject
[tex]y = \frac{17 - x}{3x - 2}[/tex]
Replace y with h'(x)
[tex]h'(x) = \frac{17 - x}{3x - 2}[/tex]
9:
[tex]h(c) = \sqrt{2c + 2}[/tex]
Replace h(c) with y
[tex]y = \sqrt{2c + 2}[/tex]
Swap positions of y and c
[tex]c = \sqrt{2y + 2}[/tex]
Square both sides
[tex]c^2 = 2y + 2[/tex]
Subtract 2 from both sides
[tex]c^2 - 2= 2y[/tex]
Make y the subject
[tex]y = \frac{c^2 - 2}{2}[/tex]
[tex]h'(c) = \frac{c^2 - 2}{2}[/tex]
10:
[tex]f(x) = \frac{x + 10}{9x - 1}[/tex]
Replace f(x) with y
[tex]y = \frac{x + 10}{9x - 1}[/tex]
Swap positions of x and y
[tex]x = \frac{y + 10}{9y - 1}[/tex]
Cross Multiply
[tex]x(9y - 1) = y + 10[/tex]
[tex]9xy - x = y + 10[/tex]
Subtract y from both sides
[tex]9xy - y - x = y - y+ 10[/tex]
[tex]9xy - y - x = 10[/tex]
Add x to both sides
[tex]9xy - y - x + x= 10 + x[/tex]
[tex]9xy - y = 10 + x[/tex]
Factorize
[tex]y(9x - 1) = 10 + x[/tex]
Make y the subject
[tex]y = \frac{10 + x}{9x - 1}[/tex]
Replace y with f'(x)
[tex]f'(x) = \frac{10 + x}{9x -1}[/tex]
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options
Answer:
where are the options
Step-by-step explanation:
Answer:
it cost $8, it was a swimsuit and he bought it
Step-by-step explanation:
1
Prove that
1: sin/1-cot + cos/1-tan=cos+sin
Answer:
have:
[tex]\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2} }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos[/tex]
Step-by-step explanation:
a new theater is being built for the city ballet. the balcony has 100 seats. The floor has 20 rows with x seats in each row. the number of people in the theater must be under 400 to meet fire safety regulations. what is the solution of this inequalit,y, and what is its meaning?
The answers are in the picture
Answer:
A
Step-by-step explanation:
I NEED HELP QUESTION IN PICTURE!!!!!!HAVE A NICE DAY
Also need help on this one thx u guys and girls who are helping meeeeee!!!!!! :)
Answer:
B
Step-by-step explanation:
big line= divide
[tex]-2 1/4 to improper = -9/4\\/ -2/3[/tex]
so -9/4 / -2/3 or
B
Hope this helps :D
Answer:
B!
Step-by-step explanation:
if you calculate the original expression given you get [tex]3\frac{3}{8}[/tex] so i just went down the line calculating the rest of the equations and B was the one equivalent to the original expression! hope this helped.
Solve the proportion. If necessary, round to the nearest hundredth. 9/(y +1) = 18/54 *
22
18
30
26
The scatterplot shows the average monthly outside temperature and the monthly electricity cost.
Based on the scatterplot, what is the best prediction for the electricity cost if the temperature for the month is 21 degrees celsius
A) $450
B) $500
C) $600
D) $700
Answer: 600
Step-by-step explanation:
I just took the test
What is the value of the expression below when z=6 and w= 7
8z + 7w?
Answer:
look below.
Step-by-step explanation:
as z= 7
3z -3
3(7) -3 =21-3 =18
PLS PLS HELPPPPP ASAP
Answer:
Wht u need help on?
Step-by-step explanation:
1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15 INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED "SCALE- 2 /9". WHAT IS THE LENGTH OF THE RAILROAD CAR ON THE LONG ISLAND RAILROAD? WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?
Answer:
Step-by-step explanation:
Given that :
Dimension of rail road toy trains :
Length = 15 inches
Width = 4 inches
Scale = 2/9
Dimension of car on the long Island rail road :
Let length = x
Length = 2/9 of x = 15 inches
= 0.22222x = 15 inches
LENGTH = 67.5 inches
WIDTH = 2/9 of x = 4 inches
0.22222x = 4 inches
Width = 18
Width = 6 inches
Find the value of x when 6-2x=5x-9x+2
Answer:
x = -2
Step-by-step explanation:
Blake records the amount of daily rainfall along with the average daily temperature for several days. The scatterplot shows his data.
A graph titled Rainfall and Temperature has rainfall (inches) on the x-axis and average daily temperature (degrees Fahrenheit) on the y-axis. Points are grouped closely together. Point (2.5, 98) is above the cluster.
Which statement about the outlier in the data set is true?
Answer:
I think its C (I think..im doing the test so ill tell u if its right or wrong)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Blake should not include the outlier because it overstates the effect of rainfall on temperature.
The Wright family budget allows
twice as much money for rent as
for food. Their budget allows
less than $720 for both food and
rent. What is the most they can
spend on food?
Answer:
The most that they can spend in food is $239
Step-by-step explanation:
Their budget allows for less than $720 for both food and rent.
We are told that this budget allows
twice as much money for rent as
for food.
Thus,
Let x be amount of spent on food.
Thus, money spent on rent is 2x
Thus,
2x + x < 720
3x < 720
x < 720/3
x < 240
Since x should be less than 240,it means that the most that they can spend in food is $239
How would you solve |10+4x|<14
And how would you graph it on a number line?
Answer:
x < 1
Step by step explanation:
10 + 4x < 14
4x < 14 -10
4x < 4
x < 1
When you graph it on a number line, draw a line that extends from 1 towards the left side (since x is less that 1) and use unshaded circles.
HELP ME PLEASE I'LL MARK YOU THE BRAINEST!!!!!!!!
Determine the missing values.
Answer:
Hi it’s me
Step-by-step explanation:
7is the first one
10 is the second
Nvm you already got the answer cause yo asked this 2 weeks ago anyways hi
What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12
Answer:
The solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]2x\:+\:2y\:+z\:=\:7[/tex]
[tex]-x-\:y\:+z\:=\:-5[/tex]
[tex]x+3y-4z=12[/tex]
solving the system of the equations by the elimination method
[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]-2x-2y+2z=-10[/tex]
[tex]+[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]3z=-3[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]2x+6y-8z=24[/tex]
[tex]-[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]4y-9z=17[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]
Rearranging the equations
[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]
solve [tex]3z=-3[/tex] for z:
[tex]z=-1[/tex]
[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]
solve [tex]4y-9\left(-1\right)=17[/tex] for y:
[tex]4y-9\left(-1\right)=17[/tex]
[tex]4y+9=17[/tex]
[tex]4y=8[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]
solve [tex]2x+2\cdot \:2-1=7[/tex] for x:
[tex]2x+2\cdot \:2-1=7[/tex]
[tex]2x+3=7[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Therefore, the solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
[tex]3x-4=14\\[/tex]
[tex]\text {Hello! Let's Solve this Problem!}[/tex]
[tex]\text {\underline {The First Step is to Add 4}}[/tex]
[tex]\text {3x-4+4=14+4}[/tex]
[tex]\text {3x=18}[/tex]
[tex]\text {\underline {The Final Step is to Divide 3}}[/tex]
[tex]\text {3x/3=18/3}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\Huge\boxed {x=6}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\huge\text{$x=\boxed{6}$}[/tex]
We can solve for the variable [tex]x[/tex] by isolating it on one side of the equals sign.
Start by adding [tex]4[/tex] to both sides to cancel out the [tex]-4[/tex] on the left side of the equation.
[tex]\begin{aligned}3x-4+4&=14+4\\3x&=18\end{aligned}[/tex]
Now divide both sides of the equation by [tex]3[/tex] since [tex]3x[/tex] is the same as [tex]3*x[/tex] and we want to isolate [tex]x[/tex], keeping in mind that anything multiplied by [tex]1[/tex] is itself.
[tex]\begin{aligned}3x&=18\\3*x&=18\\3*x\div3&=18\div3\\x*3\div3&=18\div3\\x*1&=6\\x&=\boxed{6}\end{aligned}[/tex]
Help please, thanks.
How can ure out the next number in the pattern below? Write a conjecture that describes the pattern.
29, 28, 26, 23, 19
The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.
As per the given pattern,29, 28, 26, 23, 19
29 - 28 = 1
28 - 26 = 2
26 - 23 = 3
23 - 19 = 4
Since the difference is increasing by 1
So the difference of 19 and the next number (x) will be 4 + 1 = 5.
19 - x = 5
x = 14
Hence "The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14".
For more information about the pattern,
brainly.com/question/14013716
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