Step-by-step explanation:
divide 3÷2 (5x+1.5>3x+2)
move the terms (5x-3x>2-1.5)
2x>0.5
divide by 2
x=0.25
How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5
Answer:
[tex](2,1)[/tex]
Step-by-step explanation:
Let's first write down the first in traditional form:
[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]
At this point, let's choose the order we want to do it.
Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra
[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]
Eliminating y: Let's simply add the two equations together. Rest is simple algebra
[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]
I rlly need help it’s due tmrw
Answer:
3.Top: |-80| + |50| = 80 + 50 = 130m
Bottom: same as top
Left: |50| + |-20| = 50 + 20 = 70m
Right: same as left
4.
130m+130m+70m+70m=400m
The perimeter is 400 meters
100 if u get this right ty have a nice day!
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
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(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
2(3х + 8) = 2х - 16 + 4х
Answer: 0= -32
Step-by-step explanation:
brainliest me
Find the slope of the line.
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
We can see certain points plotted which are (-1, 2) (1,-1) and (3, -4)
We use the slope formula to find slope with any two points that were given
[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
How many 3/4s are in 2? Draw a tape diagram
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
please help asap…………
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
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Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
The height above the ground, h, in feet, of a bullet fired upward is given by the formula
h = −162 + 80 + 224. Find the number of seconds after being fired the bullet hits the ground.
Answer:
After 7 seconds it hits the ground.
h= -16^2 + 80x + 224
(I'm assuming this is what you meant, because these problems are generally quadratic)
Use quadratic formula to find when it hits the ground (get zeros)
x = -2, x = 7
After 7 seconds it hits the ground.
need 8&9 urgently!!!
Answer:
8.x=7
7.x=12
Step-by-step explanation:
8.The two Base angles are equal
7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.
Two people answer = one brainliest for best answer 100pts
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.
Thank you
Answer:
The first, third, and fourth answers are correct!
How to figure out the absolute value.
Answer:
absolute value is the same number just positive and cha never be negative.
The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2
Subtract. Simplify your answer and write it as a mixed number.
9 3/7 - 5 2/21
Answer:4 1/3
Step-by-step explanation:
An arithmetic sequence k starts 4, 13, . . . . Explain how you would calculate the value of the 5,000th term
Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9
For an arithmetic sequence, the nth term is calculated using the relation :
Tn = a + (n - 1)d d = common difference n = nth term a = first termHere,
First term, a = 4
Common difference = 2nd term - 1st term = 13 - 4 = 9
nth term = 5000th term
The expression would be :
The required expression would be : T(5000) = 4 + (5000 - 1)9
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The table below shows the incomplete values as y varies directly as
x. Calculate the missing values.
y =10 20_
x =5_ 2
Answer:
y=30
x=3
Step-by-step explanation:
~may it help you~
Mark has 403 coins. He has 89 more than his sister. How many coins do they both have altogether
ANYONE CAN HELP ME ?? :)
Answer:
12[tex]\frac{2}{3}[/tex] cm
Step-by-step explanation:
Have a nice day
the quotient of y and 8 is greater than 10
Answer:
Well the ineqaulity here would be
y/8 > 10
Or in simpler terms
y ÷ 8 > 10
If you were to solve
y > 80
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
A). Step 2; 8x − 4 = 2(6 + x + 6)
B). Step 2; 8x − 16 = 16 + 2x
C). Step 3; 6x − 2x = 16 − 8
D). Step 3; 6x + 2x = 16 + 8
Answer:
B
Step-by-step explanation:
He added 4 to 2 instead of multiplying.
Need help with this one too plzzz
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.
Answer:
2 days
Step-by-step explanation:
12 - 4 = 8
8/3 = 2.7
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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Write 4.5kg : 1500g as a ratio in its simplest form
Answer:
3 : 1
Step-by-step explanation:
The values must be in the same quantity
1 Kg = 1000 g
4.5 Kg = 4.5 × 1000 = 4500 g
Then
4.5 Kg : 1500 g
= 4500 g : 1500 g ( divide both parts by 1500 )
= 3 : 1 ( in simplest form )
The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1
What is a ratio?A ratio is a measure of the number of times one quantity is contained in or contains another quantity.
To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.
1 kg = 1,000g
Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g
The ratio 4.5 kg : 1,500 g can be written as follows;
4,500 g : 1,500 g
The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;
4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500) = 3 : 1
Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1
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PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
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Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
Is -5/2 greater than 3?
Answer:
No -5/2 is not greater than three.
Step-by-step explanation:
You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.
Answer:
No
Step-by-step explanation:
[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.
Positive integers don't have a plus sign in front of it because we already assume it is there.