Which expression is the factored equivalent of x2 - 5x + 4?
A.
(x - 1)(x - 4)
B.
(x - 3)(x - 1)
C.
(x + 4)(x + 1)
D.
(x + 1)(x - 4)
Answers
Answer:
Step-by-step explanation:
A
The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.
We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).
The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.
Using these numbers, we can express the quadratic expression as:
x² - 5x + 4 = (x - 1)(x - 4)
Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
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Related Questions
Which of the following equations defines y as a function of x?
Answers
Answers:
first box for x = 8
second box for y = 135
third box for x = 24
fourth box for y = 263
To work out x you put the y in place of the y in the equation and do the inverse
To work out y you put the x in place of x in the equation and times by 8 and add 7 as the equation says to do.
second box for y = 135
third box for x = 24
fourth box for y = 263
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Please help, screenshot!
Answers
Answer:
4/7
Step-by-step explanation:
class total = 21
chance of picking one of 12 boys out of 21.
12/21 which can be simpilfied to 4/7
9 girls + 12 boys = 21
Boys/total = 12/21
12/21 divided by 3 = 4/7
PLEASE HELP MEEEE
Give a real life example of when someone might need to know the surface area of something.
Please give a detailed answer to earn full credit.
Answers
Answer: If someone was going to replace the flooring in a house/room, they would need to calculate the surface area in order to purchase the correct amount of material.
Step-by-step explanation:
Three pieces of strings have a length of 124 cm, 286 cm and 320 cm respectively. Each string is cut into several pieces of the same length and no string is left over. What is the length of the longest piece of string?
Answers
Answer:10
Step-by-step explanation
Because Each string is cut into several pieces of the same length and no string is left over.
Choose the problem that has the same answer as 6 × 2 × 3.
6 × 3 × 2
1 × 3 × 6
2 × 1 × 6
2 × 3 × 1
Answers
Answer:
6x3x2
Step-by-step explanation:
Can anyone help me? plz
Answers
intercept: 5
thats what i found if its wrong im sorry
The perimeter of the backyard shown in the diagram below is 271 feet.
A four-sided closed figure is shown. The lengths of the sides are twelve times d plus four, four-fifths times d minus nine, two times d, and four times d minus six.
Write an equation in simplest form that represents the perimeter of the backyard in feet.
Part B. What is the value of d?
Answers
Answer:
A) 18.8d - 11 = 271
B) d = 15
Step-by-step explanation:
Select all shapes below that are nets of a pentagonal-based pyramid.
Answers
Answer:
A and B
Step-by-step explanation:
I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3
a living room ia 12 feet long if a 2ft 4in shelf is centered on the wall, how far uis it from the edge of the wall to the edge of the shelf?
Answers
Answer:
4 feet 10 inches
Step-by-step explanation:
12 feet -2 feet = 10 feet
10 feet - 4 inches = 9 feet 8 inches
half of 9 feet is 4 feet 6 inches
half of 8 inches is 4 inches
4 feet 6 inches + 4 inches = 4 feet 10 inches
You are writing a science research paper for your Chemistry class. You can type four pages per hour and you have already typed two pages. Write a function where t represents the number of hours and W(t) is the total pages written.
Answers
Answer: W(t) = 4t + 2
Step-by-step explanation:
y = ax + b
Because you have already typed two pages, the y-intercept(b) will be 2
The slope(a) is the number of pages typed per hour, which is 4.
So if you put it together:
W(t) = 4t + 2
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss
Answers
Can Some1 Tell Me the answer?
Answers
Answer: D
Step-by-step explanation:
Answer: D(2.8a-12a-3.6
hope that helped <3
Math question someone pls explain how to answer it I am stuck pt.5
Answers
Just put it into the formula, A = b h + (b 1 + b 2 + b 3 ) L. b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and L is the length of the prism.
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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Write the expression as a number in scientific notation.
Pls help me or I'm gonna fail :(
Answers
Answer:
(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation
Answer:
As a professional failure, I shall try this.
3.5 * 10^3
Minimum possible interior angle in a regular polygon is _____.
70 b. 60 c. 90 d. 120
Answers
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
Answers
The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.
Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.
Answer:
17
Step-by-step explanation:
It's the only number that repeats and I also took the test :)
PLEASE HELP!!!!! SEMESTER TEST PART 2 K12 PLEASE ANSWER ALL THE QUESTIONS GETS BRAINLIEST
Answers
Answ
Step-by-step explanation:
Characteristics is greecex
Rewrite 1.68 ÷ 0.12 as a fraction.
thank you.
Answers
Answer:
Step-by-step explanation:
42/25=1 17/25
0.12 = 12/100 = 3/25
1.68/0.12 = 14
The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.
Answers
Answer:
Bus is the preferred transportation for 25 residents.
Step-by-step explanation:
(Quick!) Can you please answer these?
Giving 40 points!
Answers
Answer: is it isosceles, equilateral, scalene, obtuse, acute, or right?
Step-by-step explanation:
I will attach a picture of all of the types of triangles! match them up! Good luck!
Which choice below is a common multiple of 8 and 10 (but not the least common multiple).
4
90
160
Answers
Answer:
160
Step-by-step explanation:
4 is too low, 90 cant be divided by 8 and 160 is the only answer even though it is highest number
Answer:
160
Step-by-step explanation:
Help please and I will give brainliest
Answers
Sorry if I’m wrong!
the domain is repeating
This expression involves two numbers written in scientific notation.
Which is the simplified form of the expression?
Answers
Answer: the answer for it would be 20000 or should be
Step-by-step explanation:
4.2e7/2.1e3 should come out to 20000 at least my graphing calc says it should but it should come out to 20k
4.2/2.1 x 10 little 7/10 little 3 = 4.2/2.1 x 10 little 4 = 2 x 10 little 4 = 2x 10000= 20,000
I hope it helps:)
(with the real explanation.)
What is the slope of the line that contains the points (−3, −1) and (3, −10)?
Undefined
0
negative two thirds
negative three halves
Answers
Answer:
Step-by-step explanation:
The slope of the line that contains the points (-3,-1) and (3,-10) is negative three halves.
we know that the slope of a line,
m = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
substituting the values we get,
= \(\frac{-10-(-1)}{3-(-3)}\)
calculating we get,
slope, m = \(\frac{-3}{2}\)
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slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two given points.
Plugging in the values, we get:
slope = (-10 - (-1)) / (3 - (-3))
slope = (-10 + 1) / (3 + 3)
slope = -9/6
Therefore, the slope of the line that contains the points (-3, -1) and (3, -10) is -9/6, which simplifies to -3/2.
math question under question cut
Answers
Answer:
❃ \( \large \tt \:E\: X \: P \: L \: A \: N \: A\: T \: I \: O \: N : \)
✧ Firstly, Here are some questions whose answers should be known before solving this problem !
❊ Do ya know what the figure is ?
⇾ We're given the figure of parallelogram.
✑ Do ya know about the formula used to find out the area of parallelogram ?
⇾ Yuh! \( \boxed{ \text{Area \: of \: parallelogram = \sf{base \: ( \: b \: ) × \: height(h)}}}\)
♕ Do ya know what the base and height is in the given parallelogram ?
Base = \( 21 \frac{1}{5} \) yd & height = \(22 \frac{1}{2} \) yd☃ What should be done to convert mixed number such as \(5 \frac{1}{2} \) into improper fraction ?
⇾ To convert mixed number into improper fraction , you n eed to multiply whole number and denominator and add it to numerator and the denominator remains the same. To convert \(5 \frac{1}{2} \) into improper fraction , follow these steps :
\(5 \frac{1}{2} = \frac{5 \times 2 + 1}{2} = \boxed{ \frac{11}{2} }\)♨ What should be done to multiply any two fractions ?
⇾ To multiply one fraction by another , multiply the numerators for the numerator , multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term if required.
☂ Okey! Questions ends up here. Now , let's get started for solving ! Plug the values and then simplify !
⤑ \( \large \tt \: 21 \frac{1}{5} \times 22 \frac{1}{2} \)
⤑ \( \large{ \frac{21 \times 5 + 1}{5} \times \frac{22 \times 2 + 1}{2}} \)
⤑ \( \large{ \frac{106}{5} \times \frac{45}{2}} \)
⤑ \( \large{ \frac{106 \times 45}{5 \times 2}} \)
⤑ \( \frac{4770}{10} \)
⤑ \( \boxed{\large{ \tt477 \: {yd}^{2} }}\)
\( \large{ \boxed{ \boxed{ \tt{↬ \: Our \: Final \: Answer : \boxed{ \tt{477 \: {yd}^{2} }}}}}}\)
✺ \( \large{ \tt{STUDY \: TIP}}: \)
For maths revision , the best way to do well is to practice , practice and practice. Do as many problem sets and past papers as possible. ♪☄ Hope I helped! ♡
✎ Have a wonderful day / night ! ☥
#StayInAndExplore ツ
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The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
a baby gorilla had a mass of 2620 grams at birth, 2960 after 10 days, and 3300 grams after 20 days. What is the average number of grams that the baby gorilla grew each day during the first 10 days and during the next 10 days?
show work
Answers
The baby gorilla grew 340 grams in the first 10 days. This is an average of 34 grams per day. The baby gorilla grew 340 grams in the next 10 days. This is an average of 34 grams per day. The baby gorilla grew at the same rate in the first 10 days and the next 10 days.
Here is the solution:
340 grams / 10 days = 34 grams per day
340 grams / 10 days = 34 grams per day
34 grams per day = 34 grams per day
Therefore, the average number of grams that the baby gorilla grew each day during the first 10 days and during the next 10 days is 34 grams per day.
Roberta grows pea plants, some in shade and some in sun. She picks 8 plants of each type at random and records the heights.
Answers
The difference in the means in 2.4 times the ranges.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.
Hence Shade's mean is given as follows:
(7 + 12 + 9 + 12 + 9 + 9 + 12 + 10)/8 = 10 in.
Sun's mean is given as follows:
(19 + 24 + 24 + 24 + 22 + 20 + 23 + 20)/8 = 22 in.
The range is the difference of the largest measure by the smallest measure, hence:
Shade: 12 - 7 = 5 in.Sun: 24 - 19 = 5 in.The difference is given as follows:
22 - 10 = 12 in.
12/5 = 2.4 times the ranges.
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