Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
in the adjoining graph the point a is the position of a policeman in the point p is the position of a Thief how far is the thief from the policeman 1 unit is equal length to 20 m
Answer: 5 up and 7 side
Step-by-step explanation:
The lengths of the sides of a square are multiplied by 3.5. How is the ratio of the areas related to the ratio of the side lengths?
A. The ratio of the areas is the square of the ratio of the side lengths.
B. The ratio of the areas is the same as the ratio of the side lengths.
c. The ratio of the areas is the cube of the ratio of the side lengths.
d. The ratio of the areas is the square root of the ratio of the side lengths.
Answer:
A The ratio of the areas is the square of the ratio of the side lengths.
Step-by-step explanation:
10 x 3.5 = 35 and would be the same size each
35 x 35 = 1225
Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49
Therefore just from doing this we can find easily by referring back to ratio above shown.
D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true
sqrt 1225 is 35 and becomes a square root of the area
Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.
when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35
We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-
1225/49 = 25 same here we have the area same ratio as
100/4 = 25 same
10:35 = 3.5^2 + 3.5^2 =12.50 + 12.50 = 25
A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25
Answer:
A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.
Hope this helps!
Pleaseeee helpppppppppp
Answer:
25 ft^2
Step-by-step explanation:
In direct variation, if y varies directly with x, then the equation has the form
y = kx,
where k is the constant of proportionality. y is proportional to x.
Let's call the area y and the distance x.
Here, the area varies with the square of the distance, so the equation has the form
y = kx^2
Here, y is proportional to the square of x.
We can find the value of k by using the given information.
y = kx^2
When x = 20 ft, y = 16 ft^2.
16 = k(20^2)
k = 16/400
k = 1/25
The equation of the relation is:
y = (1/25)x^2
Now we use the equation we found to answer the question.
What is y (the area) when x (the distance) is 25 ft?
y = (1/25)x^2
y = (1/25)(25^2)
y = 25
Answer: 25 ft^2
what are the coorrect ones?
Answer:
16:18
Step-by-step explanation:
4 * 4= 16
2*4=8
Therefore
The ratio is 16:8
Hope this helps
Have a nice day! :D
Give brainliest if possible pls :)
A coin is tossed 10 times, find the probability of getting seven heads.
Answer:
7/10 or 70%
Step-by-step explanation:
because 10/10 is 100%-----> so 7/10----> 70%
p(x) = 3(x + 10x + 5) - 5(x - k)
In the polynomial p(x) defined above, k is a
constant. If p(x) is divisible by x, what is the value
of k?
First, you should simplify the function expression.
3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k
In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder. The first two terms clearly divide by x. However, the last two do not. In order for this to work out where k is constant, 5k would have to cancel out the +15 term, leaving nothing to divide by x.
So: 15 + 5k = 0
5k = -15
k = -3
plzzzzzz help meeeee
Answer:
Step-by-step explanation:
For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.
7(0)≠21
Then 1.
7(1)≠21
7(2)≠21
7(3)=21
Therefore, for question a, the answer is 3.
For question b, it's asking 6 minus what is 2.
With this one, we can say it is 4, since 6-4=2.
Now moving on to B.
a) 2x+4=16
We need to isolate x in order to find it's value.
So we can begin with subtracting 4 from both sides, getting us:
2x=12
Then, if we divide both terms by 2, we get x.
x=12/2
x=6.
b)
3 x (z/4)=9
Again, we need to isolate z.
So, we multiply both sides by 4, getting us
3z=36
then we divide by 3
z=36/3
z=12
c) 16-x=2
Here we simply subtract 16 from each side, then flip the signs to get positive x.
So, 16-x=2
-x=-14
x=14
d) 4k=20
This is essentially asking, 4 times what number is 20?
So we can divide both sides by 4 and get
k=20/4
k=5
Can Somone plsss help me
Answer:
from tjwuxrsnsu hshwjdysgw ehsshejisgwnd jrsysjsgshd
Use the number line to find the difference of 3 - (-1.5)
your answer is 4.5 you're welcome :-)
Answer:4.5
Step-by-step explanation:
the rule is
positive - negative changes to positive + positive so
3- (-1.5) changes to 3 + 1.5 which equals 4.5
Can somebody help me as soon as possible !!
Answer:
C
Step-by-step explanation:
Hope it helps
The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All angels are right angels.
A. how many feet does each inch represent? That is, what is the scale?
B. What are the length and width of the living room on the scale and drawing( in inches)?
C. What are the actual length and width of the living room( in feet)?
D. if the family wants to lay carpet in the living room and carpeting cost $1.25 per square foot, how much will carpet cost
Answer:
See belowStep-by-step explanation:
A)
According to dimensions of the garage, the scale is:
1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 inB)
Living room
Dimensions on paper:
2 in x 1 1/4 inC)
Actual dimensions:
2*20 ft = 40 ft and1 1/4 * 20 ft = 25 ftD)
The area of the living room:
A = lw = 25*40 = 1000 ft²Cost of carpet:
1000*$1.25 = $1250Length
20(2)=40ftWidth
1.25(20)25ftArea
25(40)1000ft²Total cost
1000(1.25)$1250help and i ill give brainliest
Answer:
11
Step-by-step explanation:
f(16) = 7 + 16/4
= 7 + 4
= 11
Hi please help me i need it
Answer:
for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19
Help finding the missing length
Answer:
4x2-6x+6
Step-by-step explanation:
(9x2-2x) +(3x-5)+(m) =13x2-5x+1
(13x2-5x+1)-(9x2+x-5)=m
Find the inverse function in slope-intercept form (mx+b)
f (x) = x - 16
f^-1 (x) =
Answer:
[tex] \rm y = x + 16 [/tex]
Step-by-step explanation:
A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,
[tex]\rm\implies f(x) = x - 16 [/tex]
Let ,
[tex]\rm\implies y = f(x)[/tex]
So that ,
[tex]\rm\implies y = x - 16 [/tex]
Interchange x and y ,
[tex]\rm\implies x = y - 16 [/tex]
Solve for y ,
[tex]\rm\implies y = x + 16[/tex]
Now replace ,
[tex]\rm\implies y = f^{-1}(x) [/tex]
We have ,
[tex]\rm\implies f^{-1}(x) = x+16 [/tex]
And in slope intercept form ,
[tex]\rm\implies \boxed{\pink{\frak {y = x +16}}}[/tex]
The price of an item has dropped to $81 today. Yesterday it was $135. Find the percentage decrease.
Answer: 60%
Step-by-step explanation:
81/135= 60/100
Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)
rolling a 4 or doubles
Answer:
The answer is 2/9
Step-by-step explanation:
I got it right on the test
4) Which number is a factor
of 24 but not a multiple
of 6?
A tune-up automotive facility marks up its
parts by 45%. Suppose that the facility
charges its customers $2.03 for each spark
plug it sells. What is the facility's cost for each
spark plug?
Answer: $1.40
Work Shown:
x = cost before markup
1.45x = cost after the 45% markup
1.45x = 2.03
x = (2.03)/(1.45)
x = 1.40
PLS HELP ME I NEED IT
Step-by-step explanation:
the area = [tex](\frac{1}{2}) (18)(4)\\[/tex] = [tex]36ft^{2}[/tex]
please give me a brainliest answer
If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the curve y = 12x/(3 + x2) at the point (3, 3).
F '(3) =
y(x) =
Answer:
f=12
yx=88
Step-by-step explanation:
What do I put in the box?? Do I skip count?
Answer:
skip count by 2 on was and skip count by 6 on the butter
Step-by-step explanation: 2x5=10 6x5=30
please help this is super urgent!!!
Choose the correct description of the graph of the compound inequality: (5 points) 3x + 1 > 7 and 4x less than or equal to 24
Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
Answer:
Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.
Step-by-step explanation:
i.e. it could also be written as:
3x + 1 > 7
3x > 7 - 1
3x > 6
x > 2
And the second inequality is:
4x < 24
4x < 6
Hence, the compound inequality could be represented as:
x>2 i.e. (2,∞)
and x≤6 i.e. (-∞,6]
Hence, the feasible region or the region that is common to both the inequalities is:
(2,6]
Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between
_+_+_+_+_+_=300,684 how could I do this with 6 digits to equal 300,684 .?
Answer:
Number 300,684 spell , write in words: three hundred thousand, six hundred and eighty-four . Ordinal number 300684th is said and write: three hundred thousand, six hundred and eighty-fourth. Color #300684. The meaning of number 300684 in Maths: Is Prime? Factorization and dividers. The square root and cube root of 300684. The meaning in computer science, numerology, codes and images, writing and naming in other languages, other interesting facts.
hop it helps:) :(true or false, when graphing a linear Inequality in two variables, the inequality symbol " < " states to use a broken line.
Answer:
Ture I tink
Step-by-step explanation:
Enter an inequality that represents the phrase "the sum of 4 and y is less than 6." Draw a graph that represents the inequality.
Please help AND give a good explanation. Like I am finding this super hard and well I can NOT get this question wrong unless I want a C on this. Help :(
9514 1404 393
Answer:
4 + y < 6
see attached for a graph
Step-by-step explanation:
The English description "the sum of A and B" is written symbolically as ...
A + B
The symbol for "is less than" is <.
Then "the sum of 4 and y is less than 6" will be written ...
4 + y < 6
__
The solution to this is found by subtracting 4 from both sides of the inequality:
4 +y -4 < 6 -4
y < 2 . . . . . . . . . simplified solution
The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.
Use a graphing utility to graph the equation. Use the graph to approximate the values of x that satisfy each inequality.
y =
1
2
x2 − 2x + 1
Answer:
25
Step-by-step explanation:
12x2=24-2x+1=25-2x
25-2x=y
(0)
25=y
3d + 5 where d=3 show work
Answer:
•Equation => 3d + 5
d = 3
3 x 3 + 5
9 + 5
14 = Answer
Hope it's helpful
Answer:
3d+5=9+5=14
Step-by-step explanation:
3(d)=3*3=9
D=3
+5=14, answer is 14
brainest?
The temperature was -6° Fat 8:00 AM, over the next 6 hours, the temperature rose 11°. What is the new temperature at 2 PM?
Answer:
5 degrees Fahrenheit
Step-by-step explanation:
-6 + 11 = 5
Factor the Polynomial
6x3 - 16x2 + 21x - 56
Answer:
-1190
Step-by-step explanation:
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