Answer:
Final answer is [tex]=3\frac{7}{15}[/tex].
Step-by-step explanation:
[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]
[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]
[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]
[tex]=\frac{21}{5}-\frac{23}{3}[/tex]
[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]
[tex]=\frac{63}{15}-\frac{115}{15}[/tex]
[tex]=-\frac{52}{15}[/tex]
[tex]=-3\frac{7}{15}[/tex]
Hence final answer is [tex]=3\frac{7}{15}[/tex].
Need help I don’t know what there saying
Answer:
I think they want you to put a closed circle on top of far going to the left. I'm not sure though :)
Answer:
that is not the correct graph of the solution
It would be 5 with an arrow pointing to the right. With an open circle
Step-by-step explanation:
It would not be filled in because 4 is not greater than or equal to x it is greater than. The arrow would point to the right because those are all the options for the solution, there are multiple.
Please help!!! Is this correct????
Answer:
yes
Step-by-step explanation:
Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.
What is the measure of the missing angle?
60°
80°
100
180°
Answer: 80
Step-by-step explanation:
23. How many solutions are there to the system of equations below?
y = x2 + 3x – 7
y – 5x + 8 = 0
A. There are exactly 4 solutions
B. There are exactly 2 solutions
C. There is exactly 1 solution
D. There are no solutions.
D
When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.
Answer:
There are exactly 4 solutions
Step-by-step explanation
Given the two equation
y = x² + 3x – 7 ... (1)
y – 5x + 8 = 0 ...(2)
From equation 2,
y - 5x = -8
y = -8+5x ...(3)
Substituting equation 3 into 1
-8+5x = x²+3x-7
Moving -8+5x to the other side of the equation, we have:
x²+3x-7+8-5x = 0
x²+3x-8x-7+8= 0
x²-5x+1 = 0
Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.
Therefore in the system of equation given, there are exactly 4 solutions
Which statement is true about the local minimum of the graphed function?
A Over the interval [–4, –2], the local minimum is 0.
B Over the interval [–2, –1], the local minimum is 25.
C Over the interval [–1, 4], the local minimum is 0.
D Over the interval [4, 7], the local minimum is -7.
Answer:
D
Step-by-step explanation:
A is wrong because on the point -4, the function is equal to -12 and a states the local minimum on [-4, -2] is equal to zero. Since -12 < 0, A is wrong.
B is wrong because the function never even reaches 25 on the interval [-2, -2]
C is wrong because we can see that 3.9 is zero and the function is decreasing there. fro this we can determine the functions value at x = 4 is less than 0, meaning the minimum value is also less than 0.
Lastly, we can see that the lowest point fro 4 to 7 is at -7, meaning that D is correct.
D should be your answer
If f(x) = 2x – 1 and g(x) = x2 – 3x - 2, find (f + g)(x).
O
A. (f+ g)(x) = -x-3
B. (f + g)(x) = x2 - x - 3
C. (+ g)(x) = x + 5x + 3
D. (f+ g)(x) = x-3
15
Answer: Option B
[tex](f + g)(x)=x^2 - x - 3[/tex]
Step-by-step explanation:
In this problem we have the function
[tex]f(x) = 2x - 1[/tex]
and the function
[tex]g(x) = x^2 - 3x - 2[/tex]
They ask us to perform the operation:
[tex](f + g)(x)[/tex]
Therefore we must perform the algebaic summa of the function f plus the function g
[tex](f + g)(x)=f(x) + g(x)[/tex]
[tex](f + g)(x)=2x - 1 + x^2 - 3x - 2[/tex]
Now we siplify the expression
[tex](f + g)(x)=x^2 - x - 3[/tex]
The area of a rectangle is x^2-5x+6 Which of the following could be one of the dimensions?
A)(x + 3)
B)(x - 2)
C)(x - 1)
D)(x + 6)
Answer:
B)(x - 2)
Step-by-step explanation:
Given that the area of a rectangle is [tex]x^2-5x+6[/tex].
Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:
A)(x + 3)
B)(x - 2)
C)(x - 1)
D)(x + 6)
We know that area of rectangle = (length) x (width)
So basically we need to factor the given area of rectangle to find the corresponding dimensions.
[tex]x^2-5x+6[/tex]
[tex]=x^2-2x-3x+6[/tex]
[tex]=(x-2)(x-3)[/tex]
Hence B)(x - 2) is the correct choice.
Answer:
x-2
Step-by-step explanation:
Write an equation of the direct variation that includes the point (5,1)
Answer:
y = 1/5k
Step-by-step explanation:
y = kx
1= k(5)
1/5 = l
Please help me with the first one
Answer:
5:3
Step-by-step explanation:
it would be 5:3 because it is the ratio of consonant to vowels
Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.
-4 + 4x + x2 = 0
A) (x + 2)2 = 4
B) (x + 2)2 = -4
C) (x + 2)2 = 8
D) (x + 2)2 = -8
Your answer is A) (x+2)2=4
Is it related, does it have neither or neither?
The answer should be function
After selling some lemonade and cookies, Vivian and her brother Gil had 7-one dollar bills, 8 quarters and 6 dimes.They agreed to divide the money equally. What is the total amount of money that Vivian and Gil earned? Explain.
Answer:
They earned $9.60 they will each get $4.80. Give or take.
Step-by-step explanation:
9.60÷2=4.80
the median of the data set is 18 what number is missing 12,17,21,13,25
Answer:
19
Step-by-step explanation:
If DEF is similar to PRY, what is the measure of PY?
The measure of PY is 24 centimeters, found using the properties of similar triangles and the correct option is C.
To solve this problem, we can use the following steps:
Identify the corresponding sides of the two similar triangles.
Write down the proportion for the corresponding sides of the two triangles.
Cross-multiply to solve for the unknown side.
In this case, the corresponding sides of the two triangles are:
AD = AP
DE = PR
EF = RY
We can write down the following proportion:
AD/DE = AP/PR
We know that AD = 6 cm and AP = 16 cm. We also know that PR = 8 cm. We can substitute these values into the proportion and solve for DE:
6/DE = 16/8
DE = 6 * 8 / 16
DE = 3 cm
Now that we know the length of DE, we can use the following proportion to solve for PY:
DE/EF = PR/PY
3/9 = 8/PY
PY = 8 * 9 / 3
PY = 24 cm
Therefore, the measure of PY is 24 centimeters.
So, the correct option is C.
For such more questions on triangles
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Jacob is tasked with the duty of selecting one name from a list of all employees in his company to award him or her and his or her family an all-expenses-paid trip to Canada. After selecting a name from a drum with all employee names in it, the lucky winner is Sally from recruiting. What kind of sampling is this?
Stratified random sampling
Systematic sampling
Simple random sampling
Convenience sampling
Answer:
I think it is C. If im wrong, then it is A because I know that it is random sampling.
Step-by-step explanation:
Answer:
C: Simple Random Sampling
The equation 2x = 3y - 5 when written in slope-intercept form is:
Answer:
y=2/3x+5/3
Step-by-step explanation:
The equation written in slope intercept form will be y = (2/3)x + 5/3.
What is the slope intercept form?When you know the slope of the line (m) to be investigated and the point of y-intercept (0,c) is also given, you utilize the slope intercept formula.
Slope intercept formula:
y = mx + c
m is the slope
c is the y intercept
Given equation in the question is
2x = 3y - 5
3y = 2x + 5
y = (2/3)x + (5/3)
Now if we compare this equation to slope intercept form we will get m = 2/3 and c = 5/3.
Hence the slope intercept form of the equation is y = (2/3)x + (5/3).
Learn more about slopes on:
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when you count by 1's from any integer what are you counting?
Answer: the total number is 1
Step-by-step explanation:
Counting by 1's from any integer involves enumerating individual units, making use of discrete data in our powers-of-ten notation system. Counting is a precise method of measurement, yielding an exact number. However, not all quantities derived from measurements are exact.
Explanation:When you count by 1's from any integer, you are essentially enumerating individual units. This is related to the concept of quantitative discrete data in mathematics. Discrete data take on only certain numerical values. For example, if you count the number of fingers on your hand, you get integer values such as one, two, three, up to five.
In our powers-of-ten notation system, each place in our numbering is ten times greater than the place to its right. This system got started because we humans have ten fingers and began counting with them. So when you count by 1's, you are in fact moving from one place to another in this system, starting from the given integer.
Also, counting is a precise method of measurement. The number of items being counted does not change while the process is underway, producing an exact number. Even with counting, however, some quantities can be derived from measurements, which are not exact due to practical limitations.
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10011 lower 2 x 11 lower 2 ?
ANSWER
[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]
EXPLANATION
We want to multiply:
[tex] 10011_{2} \times 11_{2}[/tex]
in base 2
One can choose to convert everything to base 10
This gives 19×3=57
We then convert 57 to base two to get
[tex]57 = 111001_{2}[/tex]
Or perform the multiplication in base 2 straight forward.
10011
× 11
10011
+10011
111001
------------
[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]
Help on this question
The answer is the third one
The answer is C it’s pretty easy
Make x the subject
(x^2 -3)/2 =y
would it be this? eeek
What is 40.99 times 2.1
Answer:
86.079
Step-by-step explanation:
40.99*2.1
The Answer Is 86.079.
Parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2), respectively. The diagonals, CR and AD intersect at Point T. What is the length of CT? What is the length of DT?
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, round lengths to the nearest hundredth of a unit.
Answer:
a) T(3,0)
b) |CT|=2.83
c) |DT|=4.47
Step-by-step explanation:
The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)
The diagonals of a parallelogram bisect each other.
Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.
The midpoint of C(5,-2) and (1,2) is
[tex]T(\frac{5+1}{2},\frac{-2+2}{2} )[/tex]
[tex]T(3,0)[/tex]
b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(3-5)^2+(-2-0)^2}[/tex]
[tex]d=\sqrt{4+4}[/tex]
[tex]d=\sqrt{8}[/tex]
[tex]d=2\sqrt{2}=2.83[/tex]
The length of CT is 2.83 to the nearest hundredth
c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(3-7)^2+(2-0)^2}[/tex]
[tex]d=\sqrt{16+4}[/tex]
[tex]d=\sqrt{20}[/tex]
[tex]d=2\sqrt{5}=4.47[/tex]
The length of DT is 4.47 to the nearest hundredth
Can you help me please
The answer to this question is 10. The working out is shown in the image attached.
*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct
or another way to solve this is....
we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB
Hope this helped
How does your cosine graph change when including the d-value?
Answer:
Changing value of "d" changes the vertical shift of the cosine graph.
Step-by-step explanation:
Question says to find about how does your cosine graph change when including the d-value.
General equation of cosine function can be given as:
[tex]y=a\cdot\cos\left(bx-c)\right)+d[/tex]
In that formula, value of "d" gives vertical shift.
So changing value of "d" changes the vertical shift of the cosine graph.
If you put $2,000 into an interest bearing account, where interest is compounded quarterly (4 times a year) at 6%, how long will it take for your money to triple?
Answer:
[tex]18.4\ years[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=?\ years\\ P=\$2,000\\ r=0.06\\n=4\\A=\$6,000[/tex]
substitute in the formula above
[tex]\$6,000=\$2,000(1+\frac{0.06}{4})^{4t}[/tex]
[tex]3=(1.015)^{4t}[/tex]
Applying log both sides
[tex]log(3)=4tlog(1.015)[/tex]
[tex]t=log(3)/[4log(1.015)][/tex]
[tex]t=18.4\ years[/tex]
8 + 4 - 3 using pemdas
Answer:
You can alternatively apply PEMDAS as schools do today: Simplify everything inside the parentheses first, then exponents, then all multiplication and division from left to right in the order both operations appear, then all addition and subtraction from left to right in the order both operations appear.
Step-by-step explanation:
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.
so 8+4 =12 12-3=9
the correct answer would be 9
If the perimeter of a square garden is 84 ft, what is the area of the garden?
Answer:
Step-by-step explanation:
7056
Which of the following is true about the expression radical 3 times radical 12
There is nothing here, but I do know that the answer is 6⃣.
Answer:
It represents the product of two irrational numbers and is equivalent to a rational number.
Which reaction takes place in a nuclear fission reactor?
Image below
Answer:
The reaction that takes place in a nuclear fission reactor is answer D.
Step-by-step explanation:
Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which mainly ends up as heat energy.
So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).
Vicky earned $30 for washing 6 cars if Vicky charges at the same rate how many hours will it take for her to earn three $35
$7
30 divided by 6 is 5, then you take that 35 and divide it by the 5and you will end up with $7