For each expression, write an equivalent expression by applying the distributive
property.
2. (x + 4)(2x - 1)
The equivalent expressions are:
x² + 11x + 18
2x² + 7x - 4
x² - 10x + 25
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.
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 + 9)
(x + 4) (2x - 1)
(x - 5)²
Now,
Applying the distributive property.
1)
(x + 2) (x + 9)
x² + 9x + 2x + 18
x² + 11x + 18
2)
(x + 4) (2x - 1)
2x² - x + 8x - 4
Combining the like terms.
2x² + 7x - 4
3)
(x - 5)²
(x - 5) (x - 5)
x² - 5x - 5x + 25
x² - 10x + 25
Thus,
The equivalent expressions are:
x² + 11x + 18
2x² + 7x - 4
x² - 10x + 25
Learn more about expressions here:
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Find the perimeter, in feet, of the rectangle whose width is 13 feet and whose area is 208 square feet.
A. 16 B. 32 c. 29 D. 26 E. 58
Answer: 16
Step-by-step explanation:
I'm a number between 17 and 25
um theres alot of numbers well exactly 8 but im going to choose 23
Hope this helped :>
The cost of renting a boat is $51 for 5 hours. Which of the following is not an equivalent rate? Give the letter of your answer and justify your answer. Show your work.
A. $61.20 for 6 hours
B. $30.60 for 3 hours
C. $71.40 for 7 hours
D. $41.20 for 4 hours
Plzzz hellppp I needs thiss nowwww plzzzzz
3x + 2 = 11
Answer: x=3
Step-by-step explanation:
3x= 11-2
3x=9
then divide each side by 3
3 divide 3 =1 9 divide 3 = 3 so...
x=3
In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 19.8 and 28.2 and why
Answer:
By the Empirical Rule, 68% of the data would be between 19.8 and 28.2
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 4.2
What percentage of the data would be between 19.8 and 28.2
19.8 = 24 - 4.2
28.2 = 24 + 4.2
So within one standard deviation of the mean
By the Empirical Rule, 68% of the data would be between 19.8 and 28.2
Which equation has a slope of -6 and a y-intercept of 5
Answer:
Correct answer is B
Step-by-step explanation:
hope it helps ^^
Which graph represents y=x−2
Answer:
Graph D is correct
Step-by-step explanation:
hope it helps ^^
Answer:
graph d
Step-by-step explanation:
MARK BRAINLIEST (RELOAD AND CLICK THE CROWN)
HELP! I NEED ASAP "Find the sum (3m + 9) + (7c - 3) + (4n + 1)"
Answer:
its 3m+7+7c+4n
Step-by-step explanation:
Its really easy
I need help with this please the answers I can choose from are
A. 53°
B.27°
C.100°
D.80°
Sum of interior angles of a △ = 180°
∴ ∠T + ∠V + ∠U = 180°
⇒ 37° + 63° + X° = 180°
⇒ X° + 100 = 180°
⇒ X° = 180° - 100°
⇒ X° = 80° (D).
If 5k=-25
Help plz make
Answer:
Answer is -5
Step-by-step explanation:
what is the linear equation of (0.5,10) and -4.5,-10
Answer:
The linear equation containing the points (0.5, 10) and (-4.5, -10) will be:
[tex]y=4x+8[/tex]Please check the attached graph also.
Step-by-step explanation:
Given the points
(0.5, 10)(-4.5, -10)Finding the slope between (0.5, 10) and (-4.5, -10)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0.5,\:10\right),\:\left(x_2,\:y_2\right)=\left(-4.5,\:-10\right)[/tex]
[tex]m=\frac{-10-10}{-4.5-0.5}[/tex]
Refine
[tex]m=4[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = 4 and the point (0.5, 10) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 10 = 4(x-0.5)[/tex]
Add 10 to both sides
[tex]y-10+10=4\left(x-0.5\right)+10[/tex]
Simplify
[tex]y=4x+8[/tex]
Therefore, the linear equation containing the points (0.5, 10) and (-4.5, -10) will be:
[tex]y=4x+8[/tex]Please check the attached graph also.
which of the following statements is true about the solution of the system
Yeah Its B :3
Step-by-step explanation:
I take the test on edgeunity.
x+18/4 = 5
What is X
I will give Brainliest
Answer: x=1/2
Step-by-step explanation: You want to get the x on one side of the equal sign, by itself. First you subtract (18/4) from both sides. 5 - (18/4) =1/2 So that’s your answer.
Two numbers differ by 5. The sum of their squares is 193. Find the numbers.
Answer:
Let one number be x and the other be (x-5)
Step-by-step explanation:
x^2+(x-5)^2=193
x^2+x^2-10x+25=193
2x^2-10x+25=193
Subtract 193 from both sides of the equation.
2x^2-10x-168=0
x=12 or x=-7
x-5=7 or x-5=-12
-6+ (-20) + (-40) + 3d
Answer:
-3(22-d) ?
Step-by-step explanation:
I hope this is right please let me know
The Cost is 3.60 for 1/2 a pound of Candy. What is the cost for 2 pounds?
$7.20
$3.60 times 2 is $7.20
Answer:
$14.40
Step-by-step explanation:
trust me
find the slope of the line that passes through the points ( -2,3) and (7,-4)
Answer:
Slope= -7/9
Step-by-step explanation:
Answer:
-7/9
Step-by-step explanation:
(-2, 3) ; (7 , -4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]= \frac{-4-3}{7-[-2]}\\\\= \frac{-4-3}{7+2}\\\\= \frac{-7}{9}[/tex]
(−5x 2 squared +6x+7)+(−x2 squared +4x)= please help me will mark brainliest.
Answer:
I believe it equals -6x²+10x+7
Step-by-step explanation:
- 9(x + 3) = 27
Apply the Distributive Property and simplify.
Is it possible for a triangle to have the three angle measurements 7cm, 24cm, 25cm and is it congruent or not?
Answer:
The Answer is yes to both of your questions.
Step-by-step explanation:
SSS (Side angle Side) = Because If 3 sides of triangle are congruent to 3 sides of another triangle, the triangles are congruent. SAS (Side angle side) = If 2 sides and the angle in between are congruent to the corresponding parts of another triangle, the triangles are congruent.
Which equation best represents the weight, w, of this alligator, n, weeks after hatching?
Answer:pretty sure its 0.25n+6
Step-by-step explanation: that seems the most reasonable
How many lines of symmetry does this figure have?
Answer:
1 line mark brainliest if satisfied
Step-by-step explanation:
the sum of two consecutive even integers is 86. find the two integers
Answer:
42 and 44
Step-by-step explanation:
HELP ASAPPPP!!! HAUSBJANAHSJISIS
Which of the following expressions is the sum of four terms?
8 + jk + 5m + 12n + 7p
3 + 4m + n
jk + mn
7 + 7j + 7m + mj
I don't understand like what
What other materials do you think a chemical engineer would explore to find new ways of using them?
Sorry not a math question but please help me!!
Answer:
In this lesson, students explore the field of chemical engineering and identify the ... Students will explore how chemical engineering is like and different from the other engineering professions. ... dealing with the composition of substances and their properties and reactions ... What do you think a chemical engineer does?”
Step-by-step explanation:
Do you know this please
Answer: 159%
Step-by-step explanation: all of the first square is shaded, which is obviously 100%, 59 out of 100 is shaded in the second one which means it is 159%
What is the correct punctuation for I see a pretty rainbow
Question 9 of 10
What is the value of y?
B
60°
12
12
60
A
12
A. 36°
B. 1200
Answer:
d
Step-by-step explanation:
its a triangle all sides are equal. so it would be d-60 degrees