Answer:
a. -200
Step-by-step explanation:
Square root both sides:
x = +/- 200
x = -200, 200
x = -200
Answer:
b
Step-by-step explanation:
Given
x² = 400 ( take the square root of both sides )
x = ± [tex]\sqrt{400}[/tex] = ± 20
Thus x = - 20 is a solution of the equation → b
a. 50
b. 100
c. 35
d. 25
PLEASE HELP ME????: Divide. Write your answer as a decimal. 0.408 ÷ 0.51=
Answer:
0.8 i think
Step-by-step explanation:
Will give brainliest for correct answer
Answer:
A. 240/7
Step-by-step explanation:
10^4x/24 * 10^3x/24 = 10^10
10^7x/24 = 10^10
7x/24 = 10
x = 240/7
What is the reference angle for a 240° angle?
Answer:
60°
Step-by-step explanation:
The reference angle of 240° is 60°
Explain the the mistake in the student work
What was the mean number of peas in a pod?
I've tried six but it isn't that.
Step-by-step explanation:
mean=total÷no.
30÷50=0.6
350% of 880 is 60% of what number?
Answer:
5133 1/3
Step-by-step explanation:
[tex]3.5 \cdot 880 = 0.6x\\3080=0.6x\\x=5133 1/3[/tex]
Hope this helps!
please differentiate this problem
Answer:
dy/dx = d/dx sin(x-3/x+2)
dy/dx = cos(x-3/x+2) . d/dx (x-3/x+2)
dy/dx = cos(x-3/x+2) . (x + 2 - x + 3)/(x+2)²
dy/dx = [5cos(x-3/x+2)]/(x + 2)²
What are opposites?
Give an example of opposites.
Describe a real world situation using opposites.
I HAVE MY DBA IN 10 MIN PLZ ANSWER :((
Answer:
Opposites are basically the negative and positive of a number. I cannot think of something for a real world situation though.
Step-by-step explanation:
Find the QUADRATIc equation 100 POINTS PLS HELP (1,6),(2,19),(3,38),(4,63),(5,94)
Answer:
[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]
Step-by-step explanation:
we are given some coordinates
(1,6),(2,19),(3,38),(4,63),(5,94)
we want to figure out the quadratic equation which passes those coordinates
notice that, the coordinates in quadratic sequence
we know that,
A sequence is quadratic if and only if it has second difference
recall that,
[tex]\displaystyle 2a=2^{ \text{nd }} \text{diff}[/tex][tex] \displaystyle 3a + b = U_{2}-U_1[/tex][tex] \displaystyle a + b + c = U_1[/tex]these formulas are necessary to figure out a,b and c
because we know that
Quadratic equation standard form:
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
therefore to figure out a,b and c these formulas are important
let's figure out a:
we got that 2nd difference is 6 thus
[tex] \displaystyle 2a = 6[/tex]
divide both sides by 2
[tex] \displaystyle \frac{2a}{2} =\frac{ 6}{2}[/tex]
[tex] \displaystyle a = 3[/tex]
let's figure out b:
by using the second formula we can figure out b
our [tex]U_1[/tex] and [tex]U_2[/tex] are 6 and 19 respectively
substitute:
[tex] 3 \cdot 3 + b = 19 - 6[/tex]
simplify multiplication:
[tex]9+ b = 19 - 6[/tex]
simplify substraction:
[tex]9+ b = 13[/tex]
cancel 9 from both sides:
[tex]b = 4[/tex]
let's figure out c:
our [tex]U_1[/tex] is 6
substitute:
[tex] \displaystyle 3 + 4 + c = 6[/tex]
simplify addition:
[tex] \displaystyle 7 + c = 6[/tex]
cancel 7 from both sides:
[tex] \displaystyle c = - 1[/tex]
altogether substitute a,b and c to quadratic equation:
[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]
and we are done!
answer the question below
Answer:
a
Step-by-step explanation:
What is the next term in the pattern?
1, -1, 2, -2, 3,...
4
-4
3
-3
Answer:
-3, 4, -4
Hope this helps :)
Answer:
-3
Step-by-step explanation:
they all go to the negative side of them every other number. Hope that this helps you and have a great day :)
Given the following formula, solve for m.
y=mx+b
A.m=x(y-b)
B.m= y-b/x
C.m= x(y+b)
D.m= y+b/x
y = mx + b
You need to isolate m.
1. Bring b to the other side by subtracting it from both sides
y - b = mx
2. Divide out x to isolate m on the right
(y - b)/x = m
You answer is B. m = y - b / x
Juan crosses out the numbers that are less than 45 and greater than 50. Circle the numbers that are left.
Answer:
49 and 46
Step-by-step explanation:
because they are greater than 45 but less than 50.
help meh plz im a dum dum head
Answer:
Step-by-step explanation:
Ur not dumb I’m the dumb one XD
7a – 3 = 3 + 6a answer i already know it is 6
Answer:
Step-by-step explanation:
7a - 3 = 3 + 6a
7a = 6 + 6a
a = 6
Answer:
a = 6, Nice work!
Step-by-step explanation:
7a - 3 = 3 + 6a
First step is to subtract 6a from the right, also subtracting it from the left. This will leave you with:
a -3 = 3
Now you need to isolate the variable, so to get rid of -3, you have to add 3 to both sides.
a -3 = 3
+3 +3
a = 6
if p= 1/2 and m = -2, what is the value of -2(4p - 7)(m^2 + 5)
a. 10
b. -10
c. 90
d. -90
Answer:
10 so A
Step-by-step explanation:
Use the distributive property to correctly solve
7(2 - x) = 28.
Answer:
x = -2
Step-by-step explanation:
7(2 - x) = 28
Distribute
14 -7x = 28
Subtract 14 from each side
14-7x-14 = 28-14
-7x = 14
Divide each side by -7
-7x/-7 = 14/-7
x = -2
What is slope intercept formula. Best answer brainliest
Answer:
y= mx+b
Step-by-step explanation:
Slope intercept formula:
y=mx+b
m= slope
b= y intercept
Answer:
The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation , y = mx + b becomes y = 0x +b y = b. Also,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.
Step-by-step explanation:
I need help Han someone help plz
Answer:
E
Step-by-step explanation:
[tex] {5.6}^{ - 5} \times {3.4}^{ - 7} \times {5.6}^{3} \times {3.4}^{ - 4} = {5.6}^{ - 2}. {3.4}^{ - 4} [/tex]
Hope this helps...
Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
it would be like 90 feet
Step-by-step explanation:
hope this helps give me brainiest please
| 15
14. Number Sense Jorge collects sports
cards. He displays his cards in an album.
There are 72 pages in the album. Each
page holds 9 cards. Find the number of
cards in the album if half of the pages
are full and the rest are empty.
Answer: 324 cards.
Step-by-step explanation:
Hi, to answer this question we have to multiply the number of pages in the album (72) by the number of cards that each page holds (9):
Mathematically speaking:
72(9) = 648 cards in the album
Since half of the pages are full, we have to divide the previous result by 2.
648/2 = 324 cards
Feel free to ask for more if needed or if you did not understand something.
A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?
Answer:
The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13
Step-by-step explanation:
Let x be the cost of 1 adult ticket
Let y be the cost of 1 child ticket
Cost of 8 adult tickets = 8x
Cost of 9 child tickets = 9y
We are given that A local kids play sold 8 adult tickets and 9 child tickets for a total of $205
So, 8x+9y=205 ----- 1
Cost of 4 adult tickets = 4x
Cost of 3 child tickets = 3y
We are given that 4 adult tickets and 3 child tickets for a total of $83.
4x+3y=83 ----2
Plot 1 and 2 on graph
8x+9y=205 -- Red line
4x+3y=83 -- Blue line
Intersection point provides the solution
So, Intersection point =(11,13)
So, The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13
2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle
Answer:
[tex] \boxed{Dimensions\: of \: the \: rectangle \: are \: 15 \: and \: 10 units} [/tex]
Step-by-step explanation:
Let the length of rectangle be 'x' units
So, width of rectangle will be = x - 5 units
Area of rectangle = 150 square units
[tex]=> Area \: of \: rectangle = length × breadth \\ \\ = > 150 = x \times (x - 5) \\ \\ = > 150 =( x \times x )- (x \times 5) \\ \\ = > 150 = {x}^{2} - 5x \\ \\ = > 0 = {x}^{2} - 5x - 150 \\ \\ = > {x}^{2} - 5x - 150 = 0 \\ \\ = > {x}^{2} - (15 - 10)x - 150 = 0 \\ \\ = > {x}^{2} - 15x + 10x - 150 = 0 \\ \\ = > x(x - 15) + 10(x - 15) = 0 \\ \\ = > (x - 15)(x + 10) = 0 \\ \\ = > x - 15 = 0 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: x + 10 = 0 \\ \\ = > x = 15 \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: x = - 10[/tex]
Dimension cannot be negative so the value of x is 15
Therefore,
Length of rectangle = 15 units
Width of rectangle = 15 - 5 = 10 units
A rectangle with perimeter 30 in. has length 10 in. What is the area of the rectangle?
Answer:
Length of rectangle = 10in.
Breadth " " =x
Perimeter= 2( l+b)=30in.
Perimeter=2(10+b)=30in.
=(10+b)=30/2=15
=b=15-10
Breadth=5in.
Answer: 50 in²
Explanation: Remember that the formula for the area of a rectangle is length · width so we need to find the width of the rectangle.
To find the width of the rectangle, let's use our formula
for the perimeter of a rectangle which is 2l + 2w.
Since we know that the perimeter of the rectangle is 30 inches and the length of the rectangle is 10 inches, we have 30 = 2(10) + 2w.
Simplifying on the right side gives us 30 = 20 + 2w.
Now subtract 20 from both sides to get 10 = 2w.
Finally, dividing both sides by 2, we find that 5 = w.
So the width of the rectangle is 5 inches and remember
that the length of the rectangle is 10 inches.
So the area of the rectangle, l · w, is 10 · 5 or 50 in².
To decorate for a party, Rob and Loretta were each given a bag of balloons. There were 40 balloons between both bags. Rob used 8 balloons from his bag, and Loretta used 8 balloons from hers. The product of the number of balloons left in each bag is no more than 44.
Let x represent the number of balloons that Rob had in his bag before he used any. Which choice represents the number of balloons left in their bags?
If Rob originally had more balloons than Loretta, what is the least number of balloons that Rob could have had before using any?
Answer:
1) Option D is correct.
The choice that represents the number of balloons in their bags is x² - 40x + 300 ≥ 0
2) Option A is correct
If Rob had more balloons than Loretta, the least number of balloons that Rob van have before using any = 30.
Step-by-step explanation:
Complete Question
To decorate for a party, Rob and Loretta were each given a bag of balloons. There were 40 balloons between both bags. Rob used 8 balloons from his bag, and Loretta used 8 balloons from hers. The product of the number of balloons left in each bag is no more than 44.
Let x represent the number of balloons that Rob had in his bag before he used any. Which choice represents the number of balloons left in their bags?
A. x² - 40x - 300 = 0
B. x² - 40x - 300 < 0
C. x² - 40x = 300
D. x² - 40x + 300 ≥ 0
If Rob originally had more balloons than Loretta, what is the least number of balloons that Rob could have had before using any?
A.30
B.20
C.10
Solution
If x is the number of balloons that Rob had at the start, the number of balloons that Loretta would have at the start = (40 - x)
Then, they both use 8 balloons each for their designs,
The number of balloons Rob has after the design = (x - 8)
The number of balloons Lorretta has after the design = (40 - x - 8) = (32 - x)
The product of the balloons left isn't more than 44
(x - 8) × (32 - x) ≤ 44
32x - x² - 256 + 8x ≤ 44
44 ≥ -x² + 32x + 8x - 256
44 ≥ -x² + 40x - 256
44 + x² - 40x + 256 ≥ 0
x² - 40x + 300 ≥ 0
To solve the second part of the question, we just solve the expression obtained in the first part.
x² - 40x + 300 ≥ 0
Simplifying the left hand side
(x - 30)(x - 10) ≥ 0
The solutions of the inequality is
x ≤ 10 or x ≥ 30
Hence, if Rob had more balloons than Loretta, the feasible solution for x would be x ≥ 30 and the least number of balloons that Rob van have before using any = 30.
Hope this Helps!!!
Answer:
D & A
Step-by-step explanation:
Answer:
1) Option D is the right answer.
x2 - 40x + 300 0 is the option that reflects the number of balloons in their bags.
2) Option A is the right answer.
If Rob had more balloons than Loretta, the minimum number of balloons Rob could have before using any would be 30.
Step-by-step instructions:
Question in its entirety, Rob and Loretta were each handed a bag of balloons to decorate for a party. Between the two bags, there were 40 balloons. Loretta used 8 balloons from her bag, while Rob used 8 from his.The total number of balloons left in each bag cannot exceed 44. Let x be the number of balloons in Rob's bag before he utilized any of them. Which option best depicts how many balloons they still have in their bags? x2 - 40x - 300 = 0 A. x2 - 40x - 300 0 x2 - 40x - 300 0 x2 - 40x - 300 0 x2 C. 40x - x2 = 300 x2 - 40x + 300 0 x2 - 40x + 300 0 x2 - 40x + 300 0 x2 What is the smallest number of balloons that Rob has if he started with more than Loretta? What is the smallest number of balloons Rob could have had before using any if he had more than Loretta at the start? Solution A.30 B.20 C.10 If x is the number of balloons Rob had at the start, Loretta's number of balloons at the start would be = (40 - x) Then they each use eight balloons to create their creations. After the design, the number of balloons Rob possesses Equals (x - 8) Then there was (40 - x - 8) = the amount of balloons Lorretta possesses after the design (32 - x) The product of the remaining balloons is just 44. (x - 8) (32 - x) 44 x x x x x x x x x x x 32x - x2 - 256 + 8x 44 44 -x2 + 32x + 8x - 256 44 -x2 + 32x + 8x - 256 44 -x2 + 40x - 256 x2 - 40x + 256 0 x2 - 40x + 300 0 44 + x2 - 40x + 256 0 We just solve the equation acquired in the first half of the question to solve the second portion of the question. x2 - 40x + 300 ======================== Simplifying...
(x - 30)(x - 10) 0 (x - 30)(x - 10) 0 (x - 30)(x - 10) 0 (x - 30)(x - The inequality's solutions are x 10 or x 30. As a result, if Rob has more balloons than Loretta, the viable solution for x is x 30, and the smallest number of balloons Rob may have before using any is 30. I hope this information is useful!!! ⭐️
Please help me???:Multiply. 9.8×5.92=
Answer: 58.016
Step-by-step explanation:
Answer:
58.016
Step-by-step explanation:
9.8×5.92=58.016
surface area of 4.7 5.9 7.4
Answer:
205.2 units
Step-by-step explanation:
If you are solving for the S.A. of a rectangular prism, then simply multiply the numbers together as each stands for length (l), height (h), and width (w).
l*w*h
4.7 * 5.9 * 7.4 = 205.202
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Suppose the blue bin that Jamie found had a length of 5 inches, a width of 5 inches, and a height of 12 inches. Would one bin have a greater volume then the other?
Answer:
No.
Step-by-step explanation:
If you find the volume of the box which is 300, then divide by 2, you get 150. That's a whole number.
Solve this please! Thank you!
Answer:
D . 2x = 5
Step-by-step explanation:
cause it seems like the hanging thing is in balance -> both sides need to be equal in value. the left side contains 2 x-es, and the right side contains 5 ones.