Answer:
s = -0.75
Step-by-step explanation:
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
THIS IS TIMED!
Thanks:)
P= (x,y) is an arbitrary point on the circle x^2+y^2=36
1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P
2. What are the domain and range of this function d(x)?
Let (x,y) be an arbitrary point on the circle.
Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]
Since x2 + y2 = 1, y2 = 1-x2.
So, d = √[x2 - 6x + 9 + 1 - x2]
d = √(-6x+10)
Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.
But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).
Domain = [-1,1]
Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6
16 ≥ -6x+10 ≥ 4
4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4
Range: [2,4]
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
-5, -3,3, 13, 27, 45, 67, ...
Answer:
the pattern is +2, +6, +10, +14, +18 etc
so its in increment of 4
the rest is trivial
Step-by-step explanation:
Answer:
[tex]u_{n} = 2n^{2} -4n-3[/tex]
Step-by-step explanation:
a +b + c = - 5 First term in sequence
3a + b = 2 Difference between first two terms
2a = 4 Difference between the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)
2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so b = -4; 2 - 4 + c = -5 → -2 + c = -5 so c = -3
4x +5y =24
2x+7y=21
Answer:
x = 3.5, y = 2
Step-by-step explanation:
This is a system of equations.
Original equations:
[tex]4x+5y=24\\3x+7y=21[/tex]
Substitute y and solve for x:
→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]
Substitute the value for y and simplify:
→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]
→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]
Multiply by 5 on both sides
→ [tex]10x + 168-28x = 105[/tex]
Simplify → [tex]-18x = -63[/tex]
→ [tex]x = 3.5[/tex]
Plug in the value for x into either equation:
→ [tex]4*3.5 + 5y=24[/tex]
→ [tex]14+5y=24[/tex]
→ [tex]5y=10[/tex]
→ [tex]y=2[/tex]
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
This table gives a few (x, y) pairs of a line in the coordinate plane.
x...........y
48 -30
61 -45
74 -60
What is the x-intercept of the line?
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
From the table values, we determine that it is a straight line as there is a constant change in x and y values.
i.e.
Any previous value of y can be obtained by subtracting 15 from the successor y value.
i.e.
60 - 15 = 45
45 - 15 = 30
so if continue, we can also determine some of the other values of y such as
30 - 15 = 15
15 - 15 = 0
Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.
i.e.
74-13 = 61
61-13 = 48
48-13=35
35-13=22
So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.
We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, at y = 0, the value of x = 22.
Therefore, the x-intercept is : (22, 0)
Answer:
(22, 0)
Step-by-step explanation:
I got it right on khan
[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
What is the solution of the proportion 3/5=13/x ? Round to the nearest tenth if necessary.
Answer: x = 21 2/3
Step-by-step explanation:
3/5 = 13/x
cross multiply 5 × 13, then divide by 3.
65/3 = 21 2/3
It's like multiplying both sides by the reciprocal of the left side.
Andrea ordered a computer on the Internet. The computer cost $1399 plus 6 1/2% sales tax. What was the total amount Andrea paid for her computer?
Answer:
$1,489.94
Step-by-step explanation:
Answer:
1,489.94
Step-by-step explanation:
6.5% = 0.065
1399x 0.065= 90.935
1399 + 90.935 = 1,489.94
Write the equation of the line, in point slope form that goes through the given point with the given slope. through: (-2,5), slope = -4* O y + 2 = 5(x + 4) O y - 2 = 5(x-4) O y + 5 = -4(x +2) O y- 5 = -4(x + 2)
Answer:
y-5 = -4(x + 2)
Step-by-step explanation:
The point slope form is;
y-y1 = m(x-x1)
where m represents the slope
(x1, y1) represents the given point
Thus;
y-5 = -4(x + 2)
HELP PLEASEE THIS IS MY LAST QUESTION ILL MARK BRAINLIEST
Answer:
F. y = 9.5x + 22.5
Step-by-step explanation:
let the number of shirts be x
For every shirt he pays $9.50 and $22.5 is the additional price
Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
Solve the following equation for y. Hint: Get y alone on one side of the equation.
4x + 2y = 4
A.
y = -2x + 2
B.
y = -4x - 4
C.
y = 2x + 2
D.
y = x - 1
Answer:
y = 2 - 2x
Step-by-step explanation:
Answer:
A. y = -2x + 2
Step-by-step explanation:
4x + 2y = 4
Move 4x to the other side of the equation.
2y = 4 - 4x
Divide the whole thing by 2 to get y by itself.
y = 2 - 2x
which can also be written as
y = -2x + 2
Hope this helps! :)
Please Help quick quick
Answer:
4
Step-by-step explanation:
Answer:
x=-5/3
x=-34/9
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
A linear function contains the following points.
What are the slope and y-intercept of this function?
A. The slope is -3.
The y-intercept is (0, -7).
B. The slope is 1/3
The y intercept (0,-7)
c. The slope is -1/3
The y intercept s (0, -7).
D. The slope is -1/3
The y intercept is (-7,0)
Answer:
C
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!! 75/w=150/100
Answer:
The answer is 75/50
Step-by-step explanation:
Answer:
75/W = 150/100
75/W = 3/2
W x 75/W = W x 3/2
75 = 3W/2
2 x 75 = 2 x 3W/2
150 = 3W
so the answer should be 50 = W
What are three consecutive even integers whose sum is 66
Answer:
21,22,23
Step-by-step explanation: i love fried chicken look at my skin color
Answer:
Smallest integer: 20
Middle integer: 22
Largest integer: 24
Step-by-step explanation:
Denote the smallest integer as "x"; hence the next integer will be "x + 2", and the third will be "x + 4".
Using the information, set up an equation:
x + x + 2 + x + 4 = 66
Simplify
x + x + 2 + x + 4 = 66
3x + 6 = 66
Inverse operations
3x + 6 = 66
-6 -6
3x = 60
/3 /3
x = 20
Smallest integer: 20
Middle integer: 22
Largest integer: 24
Will mark brainliest! Please help I have no idea!
Answer:
the decimals should line up.
Answer:
press the right arrow 3 times
Step-by-step explanation:
to properly subtract any numbers the value of the digits need to be in line
Graph the line that represents the equation y = -2/3x + 1
Answer:
Step-by-step explanation:
What is:
5+5(5-5•5)-5 = ?
Answer:
-100
Step-by-step explanation:
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
Write 36 as a Product of is prine
numbers
Write the factors in order, from smallest
to largest
36
Answer:
Step-by-step explanation:
Factors of 36 = 1 2 3 4 6 9 12 18 36
the Prime Factors of 36 are: 2, 2, 3, 3.
This is the answer
Answer:
36 = 2*2*3*3
or
2^2 * 3^2
Step-by-step explanation:
Break 36 into prime factors
36 = 6*6
Since 6 isn't a prime number, factor 6
36 = 2*3 * 2*3
2 and 3 are prime numbers
In order from smallest to largest
36 = 2*2*3*3
or as exponents
36 = 2^2 * 3^2
What are the domain and the range of this function?
How do I solve this and check all the solutions?
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
Please help me answer 16 please
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
)If 1 gallon is equal to 4 quarts, then 6 gallons would equal ___ quarts.
Answer:
24
Step-by-step explanation:4x6
Answer:
24
Step-by-step explanation:
If a television was 20% off and the amount of the discount was $200 what would the original price be?
Answer:
The original price of the television would be 1000$
Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red car traveled 38 feet im 2 seconds.
Answer:
The red car is faster compared to the blue car.
The red car is faster by 5.5 feet than the blue car.
Step-by-step explanation:
The objective is to find which car is faster and by how much
Given that:
The blue car traveled 54 feet in 4 seconds; &
The red car traveled 38 feet in 2 seconds.
Let us determine the number of feet traveled in each second for both cases.
For the blue car:
In 1 second, the car will travel = 54/4 feet
In 1 second, the car will travel = 13.5 feet
For the red car:
In 1 second, the car will travel = 38/2 feet
In 1 second, the car will travel = 19 feet
Thus, the red car is faster compared to the blue car.
The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet
= 5.5 feet