Factor the trinomial
x^2 − 7x + 10
What is the factored form of the trinomial, and why?
A. (x−2)(x−5). The product of –2 and –5 is –10, and their sum is 7.
B. (x−2)(x−5). The product of –2 and –5 is 10, and their sum is –7.
C. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is 7.
D. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is –7.
The factored form of the trinomial (x − 2) (x − 5):
The product of –2 and –5 is –10, and their sum is 7.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(x − 2) (x − 5)
When factoring a trinomial in the form of ax² + bx + c, we look for two numbers whose product is equal to a x c and whose sum is equal to b.
In this case,
We need two numbers whose product is (1)(10) = 10 and whose sum is -7. These numbers are -2 and -5, so the factored form is (x-2)(x-5).
Thus,
(x − 2) (x − 5)
The product of –2 and –5 is –10, and their sum is 7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
21x^3 - 2x^2 + 20x +11 / 7x+4
which ratio is equivalent to 10 : 85
20/170
2/15
5/42
20/95
Jan has a box of magnets. She finds 21 more magnets. She now has a total of 33 magnets. How many magnets did Jan have to start?
12 magnets
21 magnets
45 magnets
33 magnets
What are the first 35 digits of pi?
Here are the first 3000 digits of pi.
3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862 518983569485562099219222184272550254256887671790494601653466804988627232791786 085784383827967976681454100953883786360950680064225125205117392984896084128488 62694560424196528502221066118630674427862203919494504712
A bakery supplier receives an order for 2 tons of flour from a bakery chain The flour is shipped in crates.Each crate holds eight 10- pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
Match the reasons with the statements in the proof.
1. m∠6=m∠8, b||c
Substitution
2. m∠7=m∠8
If alternate interior angles equal, then lines ||.
3. m∠6=m∠7
Given
4. a||b
If lines ||, corresponding angles =.
The statements and reasons are m∠6 = m∠7 | Given, m∠7 = m∠8 | If alternate interior angles equal, then lines are parallel, m∠6 = m∠8, b||c | Substitution and a||b | If lines are parallel, corresponding angles are equal.
The reason for statement 1 is "Given" because it is given in the problem.
The reason for statement 2 is "If alternate interior angles equal, then lines are parallel." This is a theorem in geometry.
The reason for statement 3 is "Substitution" because we are substituting m∠7 for m∠8.
The reason for statement 4 is "If lines are parallel, corresponding angles are equal." This is also a theorem in geometry.
To learn more about statements here:
https://brainly.com/question/35087741
#SPJ3
I need help w/ this problem...please don't answer if you don't know and PLEASE answer as fast as you can...I'm desperate.
Complete the following statement of congruence: MON~= .
A. STR
B. TRS
C.RTS
D.RST
Answer:
∵ MON ≅ RTS
∴ The answer is C. RTS.
Step-by-step explanation:
When two triangles are congruent, they will have congruent pairs of vertices. Each vertex in one triangle will have a partner in the other triangle.
Congruent vertex pairsIf we look at ΔMON, we can see it is almost like a right triangle, with:
'M' as the almost-right angle;'O' at the end of the long side, and;'N' at the end of the short side.In the next triangle, each letter has to be in the same order as the congruent vertex in ΔMON.
This triangle is ΔRTS, with:
'R' as the almost-right angle;'T' at the end of the long side, and;'S' at the end of the short side.Thus, the pairs of congruent angles are:
M ≅ RO ≅ TN ≅ SWhen we write the statement of congruence, we order the letters by their congruent pair.
∴ MON ≅ RTS
In general, reducing the interest rate (i) of a credit card but keeping the present value (PV) and number of periods (n) the same will __________. a. decrease the monthly payment (P) needed to pay off the debt b. increase the monthly payment (P) needed to pay off the debt c. eliminate the monthly payment (P) needed to pay off the debt d. have no effect on the monthly payment (P) needed to pay off the debt
Factor this equation
Answer:
9x(x-3y)
Step-by-step explanation:
to factor, you need to take the greatest common factor out. with this one, the greatest common factors are 9 and x
answer would be...
9x(x-3y)
Which of the following is an example of independent events?
A) Selecting a bead from a bag of 9 different colored beads and then selecting a second bead without putting the first back.
B) Spinning a 3 on a spinner and getting a head from a coin toss.
C) Drawing a king from a standard deck of cards and then drawing an 8 without replacing the king.
D )Four people are drawn successively without replacement from a group of 30 to represent the group.
You work as a coordinator for data entry projects. On one project, the status report shows that 15% of the work was completed in 6 days. If the work progresses at the same rate, how many more days will be required to complete the remainder of the project?
Answer: They need 34 more days to complete the remainder of the project.
Step-by-step explanation:
Since we have given that
Number of days the work was done = 6 days
Part of work is completed in these days = 15%
If the work is done at the same rate,
then the remaining part of work is done in how many days.
Remaining part of work is 100% - 15% = 85 %
So, it becomes,
[tex]\dfrac{6}{0.15}=\dfrac{x}{0.85}\\\\x=\dfrac{6\times 0.85}{0.15}=34\ days[/tex]
Hence, they need 34 more days to complete the remainder of the project.
The fish population in a lake decreases by 20% each year. What is the common ratio?
Ms.pacheco is three years older than mr.richards mr.edward is twice as old as mr.richard the sum of mr.richards age and mredwards age is 81
One canned juice drink is 2020% orange juice; another is 1010% orange juice. how many liters of each should be mixed together in order to get 1010l that is 1212% orange juice?
A number has the digits 9 and 7. To the nearest 10, the number rounds to 100. what is the number?
Answer:
97
Step-by-step explanation:
The digits formed by 9 and 7 (without repetition) are 79 and 97. In rounding off a number to the nearest tens, the number in the unit position is considered.
If that number is less than 5, it is changed to 0. However, where the number is above 5, 1 is added to the number in the tens place with the number in the unit place changed to 0.
Going by the above explanation, 79 rounds off to 80 while 97 rounds off to 100.
The area of the blue triangle, which is one-half times a base of 47 million times a height of $37.89.
Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
Answer:
grams per mm
Step-by-step explanation:
The focus of a parabola is located at (4,0), and the directrix is located at x = –4.
Answer with explanation:
A parabola is the locus of all the points such that distance from a fixed point called focus to distance from a fixed line is always constant equal to 1.
Let locus of all the point be (p,q).
[tex]\rightarrow \sqrt{(p-4)^2+(q-0)^2}=p+4\\\\ \rightarrow \text{Squaring both sides}\\\\\rightarrow p^2+16-8 p+q^2=p^2+8 p+16\\\\\rightarrow q^2=8 p+8 p\\\\\rightarrow q^2=16 p\\\\\rightarrow y^2=16 x[/tex]
Required equation of Parabola:
y²=16 x
30 POINTS + BRAINLIEST!
The answer is measure of A is 137
cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?
A) $71,244
B)$124,336
C)$142,488
D)$154,362
Answer:
C) 142,488
Step-by-step explanation: by adding up here semimonthly, also took test.
The maximum amount she can afford to borrow for a home mortgage is: C)$142,488.
Home mortgageAn employees who receive semimonthly salary will get 24 (12months×2) paychecks per year as the salary is paid twice per year.
Using this formula
Maximum amount= Gross semimonthly salary×24 paychecks×2
Let plug in the formula
Maximum amount=($2968.50×24)×2
Maximum amount=$71,244×2
Maximum amount=$142,488
Inconclusion the maximum amount she can afford to borrow for a home mortgage is: C)$142,488.
Learn more about home mortgage here:https://brainly.com/question/1339328
I need help in the problem
some people can help me plz
The volume of a cylinder is given by the formula mc021-1.jpg, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder? r=x-3 h=2x+7
It can be express as follows: v = π(2x³- 5x²- 24x + 63) cubic unit
The volume of a cylinder is given as follows
volume = πr²h
where
h = height
r = base radius
Therefore,
r = x - 3
h = 2x + 7
Therefore,
The volume can be express as follows
v = π × (x-3)² × (2x + 7)
v = π × x² - 6x + 9 ×(2x + 7)
v = π × 2x³- 12x² + 18x + 7x² - 42x + 63
v = π × 2x³- 5x²- 24x + 63
v = π(2x³- 5x²- 24x + 63) cubic unit
See similar problem here: https://brainly.in/question/2707561?referrer=searchResults
The measurement of one angle of a right triangle is 34°.
What is the measurement of the third angle?
Enter your answer in the box.
Final answer:
The third angle of the right triangle is calculated by subtracting the sum of the known right angle (90°) and the given angle (34°) from the total sum of angles in a triangle (180°), which equals 56°.
Explanation:
To find the measurement of the third angle in a right triangle where one of the angles is 34°, we use the fact that the sum of the angles in any triangle is 180°. Since one angle is 34° and another is by definition 90° in a right triangle, we can subtract these two angles from 180° to find the third angle:
Sum of angles in a triangle = 180°
Two known angles: 90° (right angle) + 34° = 124°
Third angle = 180° - 124° = 56°
Therefore, the measurement of the third angle is 56°.
to convert 45000 inches into miles which two ratios could you multiply by
Which is a way to borrow money from a bank or financial institution to pay for a car?
car loan
car lease
car rental
Which point is on the line that passes through (0,6) and is parallel to the given line
Points depends on the value of slope for the parallel line y = m₁ x + 6.
What are parallel lines?
" Parallel lines defined as two different lines lie in the same plane and never intersect with each other in that plane. Distance between parallel lines remain constant."
According to the question,
Let y = m₁ x + d be the given line.
Slope of parallel lines are equal and line passes through (0, 6)
Therefore,
6 = m₁ (0) + d
⇒ 6 = d
Required line parallel to the given line is
y = m₁ x + 6
Hence, points depends on the value of slope for the parallel line
y = m₁ x + 6.
Learn more about parallel lines here
https://brainly.com/question/16701300
#SPJ2
Estimate the percent of decrease.
Original population: 1,503
New population: 1,356
a. 1%
b. 10%
c. 13.5%
d. 15%
Answer:
Percentage in decrease = 10 %
Step-by-step explanation:
Given : Original population: 1,503 and New population: 1,356.
To find : Estimate the percent of decrease.
Solution : We have given
Original population: 1,503
New population: 1,356.
Value decrease = original population - new population.
Decrease = 1,503 - 1,356
Decrease population = 147
Percentage in decrease = [tex]\frac{decrease\ value}{original}*100[/tex].
Percentage in decrease = [tex]\frac{147}{1503}*100[/tex].
Percentage in decrease = [tex]\frac{14700}{1503}[/tex].
Percentage in decrease = 9.78 %
Estimate = 10 %.
Therefore,
Percentage in decrease = 10 %
A gymnasium can hold no more than 650 people. A permanent bleacher in the gymnasium holds 136 people. The event organizers are setting up 25 rows with an equal number of chairs. At most, how many chairs can be in each row?