Factor 5x2 - 7x + 2.
The factored form of the given expression 5x² - 7x + 2 is equal to (5x - 2)(x - 1).
To factor the quadratic expression 5x² - 7x + 2,
find two binomials in the form (ax + b)(cx + d) whose product gives us the original expression.
The general form of a quadratic expression is ax² + bx + c, where:
a = 5
b = -7
c = 2
To factor the expression, look for two numbers whose product is ac (5× 2 = 10) and whose sum is b (-7).
The two numbers are -5 and -2 because:
-5 × -2 = 10
-5 + (-2) = -7
Now, rewrite the middle term (-7x) using these two numbers:
5x² - 5x - 2x + 2
Next, we group the terms and factor them by grouping:
(5x² - 5x) + (-2x + 2)
Factor out the greatest common factor from each group:
5x(x - 1) - 2(x - 1)
Now, factor out the common binomial factor (x - 1):
(5x - 2)(x - 1)
Therefore, the factored form of 5x² - 7x + 2 is (5x - 2)(x - 1).
learn more about factored form here
brainly.com/question/33784635
#SPJ6
The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?
Write each mixed number as a percent 2 1/2
A line is defined by the equation y=-x+3 Which shows the graph of this line.
Answer:
the graph in the attached figure
Step-by-step explanation:
we have
[tex]y=-x+3[/tex]
we know that
The slope of the line is negative [tex]m=-1[/tex]
The y-intercept of the line is the point [tex](0,3)[/tex] (value of y when the value of x is equal to zero)
The x-intercept of the line is the point [tex](3,0)[/tex] (value of x when the value of y is equal to zero)
therefore
the graph in the attached figure
Answers So it's just A
Step-by-step explanation:
Which equation is a point slope form equation for line AB ?
A. y+1=−2(x−6)
B. y+6=−2(x−1)
C. y+5=−2(x−2)
D. y+2=−2(x−5)
Answer: D . [tex]((y+2)=-2(x-5)[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) in point-slope form is given by :-
[tex](y-d)=\dfrac{d-b}{c-a}(x-c)[/tex]
From the given graph ,it can be seen that the line is passing through two points A(1,6) and B(5,-2).
Then the equation for the line AB in point-slope form would be :-
[tex](y-(-2))=\dfrac{-2-6}{5-1}(x-5)[/tex]
[tex]\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)[/tex]
[tex]\Rightarrow\ (y+2)=-2(x-5)[/tex]
Hence, the equation is a point slope form equation for line AB :
[tex](y+2)=-2(x-5)[/tex]
What is the range of this data set?
27, 5, 11, 13, 10, 8, 14, 18, 7
A. 22
B. 7.5
C. 11
D. 16
A cold front moved in last weekend.In 8 hours overnight,the temperature outside dropped 24 degrees. what was the average temperature change for each hour?
Which statements about opposites are true?
Select each correct answer.
A.The product of a number and its opposite is always 1.
B.A number and its opposite are located the same distance from zero on a number line.
C.The opposite of zero is zero.
The opposite of a negative number is always a positive number.
D.
B is true
D as well
Hii pleaseeeeee helpppppp meeeee understand how to do this I want to understand.
Nadeen is at an arcade. She started out with 18 tokens, and each game costs 3 tokens to play. Suppose x is the number of games Nadeen has already played.
Answer:
The expression [tex]18-3x[/tex] describe the number of tokens Nadeen has left.
Step-by-step explanation:
Consider the provided information
Nadeen is at an arcade. She started with 18 tokens. Each game costs 3 tokens.
The cost of each game is 3 tokens
Suppose x is the number of games played by Nadeen
Thus, the cost of x games is 3x tokens
it is given that Nadeen started with 18 tokens.
So, token left = [tex]18-3x[/tex]
Therefore, the expressions [tex]18-3x[/tex] can be used to describe the number of tokens Nadeen has left.
what is the midpoint of FB
Answer:d
Step-by-step explanation:
Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?
Answer:
Julie received $134.4 when she cashed her paycheck .
Step-by-step explanation:
Let the amount of paycheck be x
She paid $10 to her brother
She then spent $30 on fuel for her car
So, She left with amount = x-40
Now She spent half of the remaining money on a new tent for camping
Spent on camping = [tex]\frac{1}{2}(x-40)[/tex]
Remaining = [tex](x-40)-\frac{1}{2}(x-40)[/tex]
She bought a pair of running shoes for $29.45
So, Remaining = [tex](x-40)-\frac{1}{2}(x-40)-29.45[/tex]
We are given that She had $17.75 left.
So, [tex](x-40)-\frac{1}{2}(x-40)-29.45=17.75[/tex]
[tex]x=134.4[/tex]
Hence Julie received $134.4 when she cashed her paycheck .
A delivery truck made 8 stops in one neighborhood. By stop 5, there were 11 packages delivered. This graph shows this information.
How many stops did it take to have 5 packages delivered?
12
8
3
2
Evaluate c-2 when c =7
Answer:
The value of given expression c-2 is 5 when c=7.
Step-by-step explanation:
The given expression
[tex]c-2[/tex]
We have to find the value of given expression c-2 when c=7.
Substitute c=7 in the given expression.
[tex]c-2=7-2[/tex]
[tex]c-2=5[/tex]
Therefore the value of given expression c-2 is 5 when c=7.
How many times larger is 9 x 10-8 than 3 x 10-12?
[tex]9\times10^{-8}[/tex] is [tex]3\times10^{4}[/tex] times larger than [tex]3\times10^{-12}[/tex].
The given number is [tex]9\times10^{-8}[/tex] and [tex]3\times10^{-12}[/tex].
We need to find how many times larger is [tex]9\times10^{-8}[/tex] than [tex]3\times10^{-12}[/tex].
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Now, [tex]\frac{9\times10^{-8}}{3\times10^{-12}}[/tex]
[tex]=3\times\frac{10^{-8}}{10^{-12}}[/tex]
[tex]=3\times10^{-8+12}[/tex] (∵[tex]\frac{a^{m}}{a^{n}} =a^{m-n}[/tex])
[tex]=3\times10^{4}[/tex]
Therefore, [tex]9\times10^{-8}[/tex] is [tex]3\times10^{4}[/tex] times larger than [tex]3\times10^{-12}[/tex].
To learn more about scientific notation visit:
brainly.com/question/18073768.
#SPJ2
Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
Answer:
24.8
Step-by-step explanation:
mrs.dryson divided her collection of 52 glass bears into equal groups. she had one bear left over.how many groups did Mrs.dryson make how many bears are in each group
The total number of groups Mrs. Dryson made is 17 so that an equal amount of glass bear is in each group and this can be determined by using the arithmetic operations.
Given :
Mrs. Dryson divided her collection of 52 glass bears into equal groups. She had one bear left over.The following steps can be used in order to determine the total number of Mrs. Dryson make:
Step 1 - Arithmetic operations can be used in order to determine the total number of Mrs. Dryson make.
Step 2 - Remember according to the given data, there are 52 glass bears and she divided these bears into equal groups and after dividing she had one bear left.
Step 3 - So the total number of bears to divide into groups of equal quantity is given by:
= 52 - 1
= 51
Step 4 - Now, the number from which 51 is divided so that the answer comes is an integer is 3.
Step 5 - So, the total number of groups made by Mrs. Dryson is:
[tex]=\dfrac{51}{3}=17[/tex]
For more information, refer to the link given below:
https://brainly.com/question/13101306
Show how 10 - 4 helps you solve 30 - 4
[tex]\boxed{ \ 30 - 4 = \ ? \ }[/tex]
30 - 4 = ...
/ \
20 + 10
[tex]\boxed{ \ 10 - 4 = 6 \ }[/tex]
[tex]\boxed{ \ 20 + 6 = 26 \ }[/tex]
[tex]\boxed{ \ \boxed{ 30 - 4 = 26} \ }[/tex]
Further explanation
This material is part of the common core mathematics curriculum.
Show how 10 - 4 helps you solve 30 - 4.
We know 10 - 6 = 4.
Furthermore, we can take out 10 from 30 and subtract 6 from 10.
[tex]\boxed{ \ 10 - 4 = 6 \ }[/tex]
Then we can add what is left, which is 20 to add to 6.
20 + 6 = 26
So, results from 30 - 4 are 26.
Let's review the steps again.
[tex]\boxed{ \ 10 - 4 = 6 \ }[/tex]
[tex]\boxed{ \ 20 + 6 = 26 \ }[/tex]
[tex]\boxed{ \ \boxed{ 30 - 4 = 26} \ }[/tex]
Learn more4 times as much as 3 is ... https://brainly.com/question/5737299 ten thousands divided by ten https://brainly.com/question/545132²/₇m - ¹/₇ = ³/₁₄ solve step by step https://brainly.com/question/4853649Keywords: show how, 10 - 4, helps you, solve, 30 - 4, subtracts, add, waht is left, the common core mathematics curriculum
With the help of 10 - 4, the solution of 30 - 4 is 26.
Using 30 - 4 to solve 10 - 4
Since the subtracted value from 30 and 10 are the same (4) ;
Therefore,
The sum of the difference between :
(10 and 4) and (30 and 10)
(10 - 4) + (30 - 10)
6 + 20 = 26
Hence, from 10 - 4; 30 - 4 gives 26
Subtracting directly also gives :
30 - 4 = 6.
Learn more : https://brainly.com/question/573729
The next plane will arrive in 22 minutes and 30 seconds. In how many seconds will the next train arrive?
15/16 is 1 sixteenth group of what size?
15/16 is 1 sixteenth group of size 1.0667.
15/16 represents a fraction where the numerator (15) is smaller than the denominator (16), indicating that it is less than a whole. When we express 15/16 as a mixed number, we get 15/16 = 0.9375, which means it is almost a whole.
In terms of groups, 15/16 can be thought of as 15 groups of a certain size out of 16. To find out the size of each group, we divide the total (16) by the number of groups (15), which gives us 16 ÷ 15 = 1.0667. Therefore, 15/16 is 1 sixteenth group of size 1.0667.
In other words, if we divide the whole into 16 equal parts, each part would be approximately 1.0667 units in size, and taking 15 of these parts would give us 15/16 of the whole.
This demonstrates that fractions can be interpreted as division problems and can be represented in various ways to understand the concept more deeply.
what is volume of a sphere with radius of 9 inches. Need to know the steps also.
The work is provided in the image attached.
Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.
Which statement is a counterexample to Gavin 's conjecture?
m∠A=30° and m∠B=60°
m∠A=25° and m∠B=25°
m∠A=10° and m∠B=15°
m∠A=45° and m∠B=45°
i just took the test answer is B hope that helped!
a school has a goal of getting at least 2000 boxtops. they have 872 so far.
they have 8 days left to get it.at least how many do they need to collect each day to meet or exceed their goal.
graph the equation y=3/5x on the coordinate plane
A graph of the linear function y = 3/5(x) is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear function y = 3/5(x) is in slope-intercept form, we would start by plotting the y-intercept:
y = 3/5(x)
y = 3/5(0)
y = 0
Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.
Read more on a graph here: brainly.com/question/4546414
#SPJ3
−p(d+z)=−2z+59. solve for z.
we have
[tex]-p(d+z)=-2z+59[/tex]
Solve for z
[tex]-p(d+z)=-2z+59\\-pd-pz=-2z+59[/tex]
Group terms that contain the variable z, and move the other terms to the opposite side of the equation
[tex]-pz+2z=59+pd\\z(2-p)=59+pd[/tex]
Divide by [tex](2-p)[/tex] both sides
[tex]z=\frac{(59+pd)}{(2-p)}[/tex]
therefore
the answer is
[tex]z=\frac{(59+pd)}{(2-p)}[/tex]
Final answer:
The equation −p(d+z)=−2z+59 was solved for z by distributing the negative sign, combining like terms, and dividing by the coefficient of z, resulting in z = (59 + pd)/(2 - p).
Explanation:
The student asked to solve the equation −p(d+z)=−2z+59 for z. To solve for z, we need to isolate z on one side of the equation, following these steps:
Distribute the negative sign through the parentheses on the left side of the equation: −pd − pz = −2z + 59.
Move the terms containing z to one side of the equation: −pz + 2z = 59 + pd.
Combine like terms by adding pz to both sides: 2z + pz = 59 + pd or z(2 - p) = 59 + pd.
Divide both sides by (2 - p) to solve for z: z = (59 + pd)/(2 - p).
Now, z is isolated and the solution is given in terms of p and d.
Keri uses the digits 7,5,4 and 8. Help Kerri write down all possible A. 4 digit odd numbers B. 4 digit even numbers. Use digit only once in each number.
To write down 4-digit odd and even numbers using the digits 7, 5, 4, and 8, there are 4 possible odd numbers and 2 possible even numbers.
Explanation:In order to write down all possible 4-digit odd and even numbers using the digits 7, 5, 4, and 8, we need to consider the following:
An odd number always ends with an odd digit, which in this case can only be 7 or 5. So, we have two options: 75 or 57.The remaining two digits can be arranged in any order. We have 2 options for the first digit (4 or 8) and 1 option for the second digit (the remaining digit).Therefore, for 4-digit odd numbers, we have a total of 2 * 2 * 1 = 4 possible numbers: 754, 584, 758, and 578.An even number always ends with an even digit, which in this case is 8. So, we need to choose an even digit for the thousands place. We have one option, which is 4. The remaining two digits can be arranged in any order.Therefore, for 4-digit even numbers, we have a total of 1 * 2 * 1 = 2 possible numbers: 854 and 584.can some one please help with this PLEASE
How many planes can two distinct lines have in common?
3x+y-1=0 What does y=
Which equation represents a line that passes through the two points in the table
Answer:
[tex]y-1=\frac{5}{4}(x-1)[/tex]
Step-by-step explanation:
we know that
The equation of the line into point slope for, is equal to
[tex]y-y1=m(x-x1)[/tex]
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
In this problem we have
[tex]A(1,1), B(5,6)[/tex]
Substitute the values
[tex]m=\frac{6-1}{5-1}[/tex]
[tex]m=\frac{5}{4}[/tex]
with the point A and the slope m find the equation of the line
substitute the values
[tex]y-1=\frac{5}{4}(x-1)[/tex]