Answer:
f(x)=x²-3x-10
Step-by-step explanation:
\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}
f(x)=x
2
−3x−10
tofindxinterceptorzerosubstitutef(x)=0
0=x
2
−3x−10
x
2
−3x−10=0
x
2
+2x−5x−10=0
x(x+2)−5x−10=0
x(x+2)−5(x+2)=0
(x+2).(x−5)=0
x+2=0
x−5=0
x=−2
x=5
therefore the zeros of the equation are x₁=-2,x₂=5
In a sale the original price of a bag is reduced by 20% to $160. Calculate the original price of the bag
Answer:
The price is now 80% of the original price, it *was* multiplied by 0.80
to reverse this, we have to decide by 0.80
160/0.8 = 200
you can check this by
200*0.8 = 160
adding and subtracting matrices
Answer:
I NEED POINTS
Step-by-step explanation:
I'm just gonna answer this.
Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP
(Not 22.4 or 22.43)
Please answer ASAP, brainly awarded.
Answer:
Step-by-step explanation:
Triangle MNP is a right triangle with the following values:
m∠P = 90°m∠N = 58°PM = 8Interior angles of a triangle sum to 180°. Therefore:
m∠M + m∠N + m∠P = 180°
m∠M + 58° + 90° = 180°
m∠M + 148° = 180°
m∠M = 32°
To find the measures of sides MN and NP, use the Law of Sines:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Substitute the values into the formula:
\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)
\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)
Therefore:
\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)
\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)
To find the perimeter of triangle MNP, sum the lengths of the sides.
\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)
at this point in time, you have no reasonable preliminary estimation for the population proportion. you would like to be 99% confident that you estimate is within 5% of the true population proportion. how large of a sample size is required?
The N = (0.five(1 - 0.five))/((0.1/2/1.28) ^ 2) = 655.36
And rounded up we've got that n = 656.
In order to discover the crucial fee we want to soak up rely that we're locating the c programming language for a proportion, so on this situation we want to apply the z distribution. Since our c programming language is at 80% of confidence, our importance stage could accept through alpha =1- 0.8 = 0.2 and alpha / 2 = 0.1 . And the crucial fee could accept through:
z alpha / 2 = pm1.28
The margin of mistakess for the share c programming language is given through this formula:ME =z alpha/2 sqrt hat p (1- hat p ) n
(a)
Since we do not have previous data for the share of hobby we will use hat p = 0.five as estimator. And on this situation we've got that ME = plus/minus 0.1/2 and we're inquisitive about order to discover the fee of n, if we resolve n from equation (a) we got:
n= hat p (1- hat p ) ((ME)/z) ^ 2 (b)
And changing into equation (b) the values from element a we got:
n = (0.five(1 - 0.five))/((0.1/2/1.28) ^ 2) = 655.36
And rounded up we've got that n = 656
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During one week, Sheila made
several changes to her bank account.
She made three withdrawals of $30
each from an ATM. She also used
her check card for a $156 purchase.
Then she deposited her paycheck of
$325.
By how much did the amount in her
bank account change during that
week?
$59 increase in her bank account during that week.
What is algebraic operation ?Any of the basic arithmetic operations—addition, subtraction, multiplication, division, raising to the power of a whole number, and taking roots (fractional power)—is considered an algebraic operation. These procedures could be applied to numerical data, in which case they are frequently referred to as arithmetic operations. Similar operations can be carried out on variables, algebraic expressions, and, more generally, on components of algebraic structures like groups and fields. Another way to describe an algebraic operation is as a function from the Cartesian power of a set to the same set.
Given that : Sheila made four withdrawals of each from an ATM. . She also made a $156 purchase with her check card. She then deposited her $375 salary.
It's difficult to determine the solution because we don't know how much money she had in her bank account before making 4 withdrawals, thus a like and rating would be really appreciated. We know she took out $40 four times, which is $160. She also used her card to make a $156 purchase, so when we sum the two amounts, we get $316. She then placed a check for $375 into the bank account, therefore we must deduct $316 from that sum to get at $59; but, since we deducted, Given that we end up with $59 rather than the money we wasted at the beginning, the fact that the price is higher than $316 indicates that there has been an increase.
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For each sequence, find the first 4 terms and the 10th term.
a) n + 5
b) 2n - 1
a) The first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.
b) The first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.
a) n + 5
The given sequence is n + 5. We can find the first 4 terms by substituting the values of n from 1 to 4.
Then we can find the 10th term by substituting n = 10.
1st term = n + 5 = 1 + 5 = 6
2nd term = n + 5 = 2 + 5 = 7
3rd term = n + 5 = 3 + 5 = 8
4th term = n + 5 = 4 + 5 = 9
10th term = n + 5 = 10 + 5 = 15.
So, the first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.
b) 2n - 1.
The given sequence is 2n - 1. We can find the first 4 terms by substituting the values of n from 1 to 4. T
hen we can find the 10th term by substituting n = 10.
1st term = 2n - 1 = 2(1) - 1 = 1
2nd term = 2n - 1 = 2(2) - 1 = 3
3rd term = 2n - 1 = 2(3) - 1 = 5
4th term = 2n - 1 = 2(4) - 1 = 7
10th term = 2n - 1 = 2(10) - 1 = 19.
So, the first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.
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Point B could represent which of the following numbers?
Answer:
5.9
Step-by-step explanation:
im assuming 5.9
not sure what your answer choices are but, its before 6, and way after 5.5, its like counting 123456789. hope this helps.
Why do you think sum or difference formulas will be helpful with finding the exact
ues of uncommon angles?
Answer:
The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle. The angle sum identities take two different formulas: sin(A+B) = sinAcosB + cosAsinB. cos(A+B) = cosAcosB − sinAsinB. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
Brainlist Pls!
qrst is a square find Qu if qs =16t-14 and qu=6t+11
You have the square QRST, furthermore, you have that sides QS and QU are given by the following algebraic expressions:
QS = 16t - 14
QU = 6t + 11
Due to QRST is a square, the length of all sides are equal.
You can notice by the symmetry of the figure that QS = 2QU
Equal the expressions for QS and 2QU and solvde for t:
16t - 14 = 2(6t + 11) apply distribution property
16t - 14 = 12t + 22 add 14 both sides
16t = 12t + 22 + 14 subtract 12t both sides
16t - 12t = 22 + 14 simplfy like terms
4t = 36 divide by 4 both sides
t = 36/4 simplify the fraction
t = 9
Hence, the value of t is t = 9
find cot θ of csc θ = sqrt 5/2 and tan θ 0
Cot θ is equal to 1/2.
To find cot θ, we need to use the given information:
csc θ = √(5/2)
tan θ = 0
We can use the reciprocal identities and the Pythagorean identity to find cot θ.
Reciprocal Identity:
csc θ = 1/sin θ
Pythagorean Identity:
\(sin^2\) θ + \(cos^2\)θ = 1
Given that csc θ = √(5/2), we can find sin θ:
1/sin θ = √(5/2)
sin θ = 2/√5
Using the Pythagorean identity, we can find cos θ:
\(sin^2\) θ + \(cos^2\) θ = 1
\((2/√5)^2\)+ \(cos^2\) θ = 1
4/5 + \(cos^2\) θ = 1
\(cos^2\) θ = 1 - 4/5
\(cos^2\)θ = 1/5
cos θ = ±√(1/5)
Now, we can find cot θ:
cot θ = cos θ / sin θ
Since tan θ = 0, it means that sin θ is not equal to 0, as tan θ = sin θ / cos θ. Therefore, we can use the positive value of cos θ.
cot θ = (√(1/5)) / (2/√5)
cot θ = (√5/√5) / (2/√5)
cot θ = 1/2
Therefore, cot θ is equal to 1/2.
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15 pts pls help me TvT
Chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Let M be the midpoint of AB, so EM is perpendicular to AB.
Since OF is a diameter of the circle, angle EOF is a right angle.
Triangles EOF and EMA are similar, since they both have a right angle and angle EFM is congruent to angle EAM, being alternate interior angles of parallel lines.
The corresponding sides are proportional:
EF / EA = EO / EM.
EM is half the length of AB, which is the diameter of the semicircle,
EO must be equal to the radius of the semicircle.
Therefore, we have EF / EA = radius / (diameter / 2) = 2 / 2 = 1,
EF = EA.
Hence, chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF
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An MIS differs from a TPS in that it creates databases.A. TrueB. False
An MIS differs from a TPS in that it creates databases is True.
An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.
One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.
On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.
In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.
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I need help to do this bc my math teacher can’t explain it well-
Answer:
b. 1 1/4
c. 11 3/8
d. 1 4/7
Step-by-step explanation:
b. 3 - 1 3/4
2 4/4 - 1 3/4
[4/4 - 3/4 = 1/4] and [2 - 1 = 1]
1 + 1/4
1 1/4
c. 7 3/8 + 4
Add the whole numbers.
11 3/8
d. 4 - 2 3/7
3 7/7 - 2 3/7
[7/7 - 3/7 = 4/7 and 3 - 2 = 1]
1 + 4/7
1 4/7
May I please have brainliest? Thank you!
Answer:
The goal is to make the denominators the same.
\(\frac{numerator}{denominator}\)
Here's how to solve "b" (I explained it so you can do the other ones)
b.
\(3 - 1\frac{3}{4}\)
Turn the 3 into a fraction (you can put any number over 1 and it will be the same)
\(\frac{3}{1} - 1\frac{3}{4}\)
Next, let's turn the \(1\frac{3}{4}\) into an "improper fraction". Right now, it is a mixed number. Multiply the denominator by the whole number on the left, and then add it to the numerator. The denominator will stay the same.
4 * 1 = 4
4 + 3 = 7
\(1\frac{3}{4}\) → \(\frac{7}{4}\)
Okay, so now we have this:
\(\frac{3}{1} - \frac{7}{4}\)
This is getting easier! But to subtract, we have to make the denominators the same. Let's multiply the top and bottom of \(\frac{3}{1}\) by 4.
\(\frac{3 * 4}{1 * 4} = \frac{12}{4}\)
Now we have:
\(\frac{12}{4} -\frac{7}{4}\)
One final step, subtract the numerators! Leave the denominators as they are.
12 - 7 = 5
Our answer is:
\(\frac{5}{4}\)
Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the numbers of hardcover books x and paperback books y he can buy?.
Answer:
x = 2
y = 5
Step-by-step explanation:
when you think of how many times 5 can go into 10 it is 2
then think of how many times 2 can go into 10 which is 5
then you add the two and it equals 20$
Who saved more money each day?
Dominic's three daughters want to take gymnastics this year. It costs $90 per month per child. How much does Dominic need to budget for a year (12 months)
of gymnastics for his daughters?
Answer:
$3,240
Step-by-step explanation:
To find the amount of money that Dominic will need to pay for gymnastics for his three daughters, first you have to multiply the cost per month per child for 12 months to know the cost per year per child:
$90*12=$1,080
Then, you has to multiply the cost per year per child for 3 that is the number of daughters:
$1,080*3=$3,240
According to this, Dominic need to budget $3,240 for a year (12 months)
of gymnastics for his daughters.
The difference between a two digit number and the reverse of that number is 18
Answer:
64
Step-by-step explanation:
The vertices of a quadrilateral pqrs lie on circle k. let x be the point on k such that qx bisects angle pqr. let y be the point on k such that xy is a diameter. prove that sy bisects angle psr.
Line SY bisects angle PSR. To prove that line SY bisects angle PSR, we can use the property that an angle inscribed in a circle is half the measure of the intercepted arc. Here's the proof:
Since XY is a diameter, it subtends a 180-degree angle at any point on the circle. Therefore, angle QXY measures 180 degrees.
Angle PQY is an inscribed angle, and its measure is half the intercepted arc PQ. Similarly, angle YSR measures half the intercepted arc SR.
Since angle QXY is 180 degrees and angle PQY and angle YSR are half of their respective intercepted arcs, the sum of angles PQY and YSR must be 180 degrees.
Therefore, angle PQY and angle YSR are equal, and since angle PQY is congruent to angle PQS (as QX bisects angle PQR), it follows that angle YSR is congruent to angle PSR.
Hence, we have proved that line SY bisects angle PSR.
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7) When Hannah goes to the mall, she always buys the same lunch and also buys some books.
*
Hannah has a consistent lunch choice when she goes to the mall and also buys books.
However, the question seems to be incomplete, as there is no specific information or query provided. To provide a comprehensive answer, it would be helpful to have additional details or a specific question related to Hannah's lunch choice or book purchases.
Without further information or a specific question, it is not possible to provide a detailed explanation or computation. If you have any specific inquiries regarding Hannah's lunch or book purchases, please provide the relevant details, and I will be happy to assist you further.
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Which one is grader -3.5 or -2.5
Answer:
-2.5 is greater
Step-by-step explanation:
it's greater because it's closer to the whole # 1
Answer:
-2.5
Step-by-step explanation:
When you have negatives , the lowest number would always be the greatest
What is the minimum acceptable rate of 1 sigma of quality production? O a) 95.4 b) 99.7 c) 99.9 d) 68
The minimum acceptable rate of 1 sigma of quality production is d) 68.
This corresponds to a 68% acceptance level, which is equivalent to 1 standard deviation in a normal distribution.
A 1 sigma level corresponds to a standard deviation that captures approximately 68% of the data within a normal distribution. This means that if a process is operating at a 1 sigma level, it has a 68% acceptance rate, and the remaining 32% of the data falls outside the acceptable range
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If a park is shown as a square on a map and each side of the park is 1 foot long how long is the actual length
If a park is shown as a square on a map and each side of the park is 1 foot long, the actual length of each side of the park would also be 1 foot.
In this scenario, the park is represented in a 1:1 scale on the map. This means that the dimensions of the park on the map directly correspond to the actual dimensions of the park in real life. Therefore, if each side of the park on the map is 1 foot long, the actual length of each side of the park will also be 1 foot.
It's important to note that this assumes the map accurately represents the scale and there is no distortion or resizing involved.
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two marbles are randomly selected without replacement from a bag containing blue and green marbles. the probability they are both blue is . if three marbles are randomly selected without replacement, the probability that all three are blue is . what is the fewest number of marbles that must have been in the bag before any were drawn? (2000 mathcounts national target)
The probability of selecting two blue marbles without replacement is 1/6, and the probability of selecting three blue marbles without replacement is 1/35. The fewest number of marbles that must have been in the bag before any were drawn is 36.
Let's assume there are x marbles in the bag. The probability of selecting two blue marbles without replacement can be calculated using the following equation: (x - 1)/(x) * (x - 2)/(x - 1) = 1/6. Simplifying this equation gives (x - 2)/(x) = 1/6. Solving for x, we find x = 12.
Similarly, the probability of selecting three blue marbles without replacement can be calculated using the equation: (x - 1)/(x) * (x - 2)/(x - 1) * (x - 3)/(x - 2) = 1/35. Simplifying this equation gives (x - 3)/(x) = 1/35. Solving for x, we find x = 36.
Therefore, the fewest number of marbles that must have been in the bag before any were drawn is 36.
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which of the following sets of data would produce the largest value for an independent-measures t statistic? group of answer choices the two sample means are 10 and 20 with variances of 20 and 25. the two sample means are 10 and 12 with sample variances of 20 and 25. the two sample means are 10 and 12 with variances of 120 and 125. the two sample means are 10 and 12 with variances of 120 and 125.
The two sample means of 10 and 20 with variances of 20 and 25 will produce the largest value for an independent-measures t statistic.
An independent-measures t statistic is used to measure the differences between two independent groups. In this case, the two sample means are 10 and 20 with variances of 20 and 25. This will produce the largest value for an independent-measures t statistic because the larger the difference between the two sample means, the larger the t statistic will be. The larger the variance, the more spread out the data is which also results in a larger t statistic. Since the two sample means have a larger difference and the variances are also large, this will result in the largest value for an independent-measures t statistic.
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Round 19,805 to the indicated place.
19,805 rounded to the nearest ten is
19,805 rounded to the nearest hundred is
19,805 rounded to the nearest thousand is
19,805 rounded to the nearest ten is 19,810
19,805 rounded to the nearest hundred is 19,800
19,805 rounded to the nearest thousand is 20,000
I apologize, this very late, but for future viewers this will help you.
What is the value of the x in the diagram ?
Answer:
138
Step-by-step explanation:
Angle ∠42 and vertical angle of ∠x are supplementary
∠42 + ∠x = ∠180
∠x = ∠180 - ∠42
∠x = 138
If xy = 6 and x = 2, then x + y =
Answer:
5
Step-by-step explanation:
xy= 6
x= 2
x + y = ?
Plug in x=2 in the first equation:
2y=6
y=3
then plug x=2 and y=3 into the one you're solving for:
2+3=5
Hope that helps!
hurry what is 1000 x 1000...........
Answer:
1,000,000
Step-by-step explanation:
please help asap. thank you very much
Help me solve this problem please
Answer:
2 (w+6)
Step-by-step explanation:
Translate the words into numbers. Here is were your language arts will come in handy. Twice is in front and happens after you add w and six. The only way to add six and w together without breaking rules of P.E.M.D.A.S is to put them in parenthesis and put the two outside