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
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What is the distance between the two coordinates points c and b?
Larry can type 225 words in 3 minutes. How many words can he type in 20 minutes?
Answer:
1500 words in 20 minutes
Step-by-step explanation:
So 225/3 min
or 225:3
so to find unit rate just divide
225/3=75
75 per minute
Now 75 words per minute times 20 minutes75*20=1500
So 1500 words in 20 minutes
Answer:
1500
Step-by-step explanation:
225/3= 75
75 words per 1 min
75 x 20= 1500
Maria had $22 to spend on five pencils. After buying them she had $12.
How much did each pencil cost
Answer:
$2
Step-by-step explanation:
did it in my head........
If 5k=-25
Help plz make
Answer:
Answer is -5
Step-by-step explanation:
Simplify the expression /-9/(3-2i)+(1+5i)
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:
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
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
9292x2929 give brainliest so yeah gettt itt!
27,216,268
9292
x 2929
________
27,216,268
Answer:
27216268
Step-by-step explanation:
I looked it up lol
PLEASE HELP ME ITS DUE IN AN HOUR AA
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.
Solve
−15x=6
−30
−65
−1
615
Answer:
its -0.4, are those rlly the options? if they are jus round up and do -1
-6+ (-20) + (-40) + 3d
Answer:
-3(22-d) ?
Step-by-step explanation:
I hope this is right please let me know
What is 48/64 equal to when we simplify
as much as we can?
3/4
16
6/8
24/32
Answer:3/4
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 :>
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
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).
Either Table A or Table B shows a proportional relationship
Table A
x
Plot the points from the table that shows a proportional relationship
4
5
3
1 2
Undo
→ Redo
x Reset
Point + Move
6
у
10
8
10
Table B
9
1
2
4
6
у
3
4
6
8
7
6
Answer:
table A
Step-by-step explanation:
1,2 3,6 4,8 5,10
I did the test
The table A shows a proportional relationship between x and y, for every value of x, y doubles.
Proportional relationshipA proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.
Table Ax y
1 2
3 6
4 8
5 10
Table Bx y
1 3
2 4
4 6
6 8
Thus, the table A shows a proportional relationship between x and y, for every value of x, y doubles.
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x/2 - 1 = 3
What is X
Please help me, I’ll try to give brainliest!!
Answer:
x=8
Step-by-step explanation:
add 1 to each side
x/2-1=3
+1 +1
x/2=4
multiply each side by 2 to isolate the varible
x/2=4
x2 x2
x=8
Which multiplication expression can be used to find 3/5 divided by 7/10
Answer:
[tex]\frac{3}{5}[/tex] x [tex]\frac{10}{7}[/tex]
Step-by-step explanation:
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
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
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
Geometry help please. What is the value of v?
Answer:
v=15
Step-by-step explanation:
31+4v+44=9v
Answer:
v = 15
Step-by-step explanation:
By exterior angle theorem:
9v° = 31° + (4v + 44)°
9v° = (4v + 44 + 31)°
9v = 4v + 75
9v - 4v = 75
5v = 75
v = 75/5
v = 15
If ab and cd are congruent what is the measure of
the measure of angle COD will be 101°
angle AOB and angle COD are vertically opposite angles
Write and solve a proportion to determine what percent of 120 is 54?.
Answer:
45
Step-by-step explanation:
54 is what percent of 120? = 45
I really need help can somebody please tell me the answer.
Answer: the statement which is not true is: each fraction is greater than the previous fraction
Step-by-step explanation:
Because all the fractions are equivalent to 2/3 . So, they are equal
(−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:
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half a gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to get 4 pitchers. How can you use the concept of proportion to decide whether the student is correct?
Answer:
2 scoops per pitcher,
Step-by-step explanation:
2 (per pitcher) * 4(pitchers) = 8
2 scoops makes 1 pitcher and she's using 8 scoops so that would give us 4 pitchers.