A signed number to represent a given population change is -43,000.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Since the population of a certain city decreased by 43,000 people.
The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.
Thus, we can population change is shown by -43,000.
Hence, a signed number to represent this population change is -43,000.
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Soccer ball profit
y=-6x^2 + 100x - 180
Suppose the store wants to earn a daily profit of $150 from the sale of soccer balls. To earn this profit, what price should the store charge for each soccer ball? Explain how to solve this problem.
Answer:
$8.33 per soccer ball.
Step-by-step explanation:
Y max is =236.67 is the max profit from the soccer balls. This goes on when you charge 8.33 a ball
Answer:
need to solve the equation 150 = -6x2 + 100x - 180. I can subtract 150 from both sides and use the quadratic formula to find x = 4.53 and 12.13. This means that if the store sells soccer balls for $4.53 or $12.13, it will earn a daily profit of $150.
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 . URGENT PLS HELP
Answer:
The length is 4
Step-by-step explanation:
Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
What is the answer??
Answer:
x = -2±i
Step-by-step explanation:
s = 2d/t solve for d
(6.42)-(-3.2) Btw I need to show my work...
Answer:
9.62
Step-by-step explanation:
Simplify the expression.
(6.42)+(-3.2)= 9.62
What is the value for X, Y, and Z?
Answer:
_________
z is 48
x is 48
y is 132
_________
Answer:
x+132=180 [ linear pair]
x=180-132=48
y=132[ opposite angles]
z=x=48 [ opposite angles]
if we add all these four angles we get 360 degree.
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if 18 more than twice a number is -10,what is the number?
Answer:
-14
Step-by-step explanation:
Let the number be x
[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]
simplify the following expressions ( combine like-terms )
Answer:
x + 2y
Step-by-step explanation:
Step 1: Write expression
-3x + 2y + 5x - x
Step 2: Combine like terms (x)
2x + 2y - x
x + 2y
Find the sum. 5+(-7)= 0
5+(-7)=-2
i hope this helps :)
Answer:
That doesn't make sense! Do you have a picture of the problem?
Step-by-step explanation:
I need more info in order to give a better, more acurate answer!
Solve for y in 2y + 5 = - 3y - 10.*
Answer:
y = -3
Step-by-step explanation:
2y +3y = -10 -5 (collect the terms then calculate)
5y = -15 ( divide both sides )
then you'll get your answer which is y = -3
A metal bar ten feet long weighs 128 pounds. What is the weight of a similar bar that is two feet four inches long?
Round to the nearest whole pound. (Use cross multiplication to solve the ratio).
Answer:
Seems like 29 pounds (29.44 not rounded)
Step-by-step explanation:
Which term has an expression with a base of 8
Answer:
8^4
Step-by-step explanation:
A 'base' is a number with an exponent.
The expression [tex]8^4[/tex] has the base 8.
We need to find which of the given term has an expression with a base of 8.
What is base of an expression?A numerical system's number basis, or base for short, informs us of the particular or distinctive symbols and notations it employs to express a value. The number used to construct a power with an exponent, such as the 3 in 3², is known as the base.
In the expression [tex]8^4[/tex], 8 is the base and 4 is the power or exponent.
Therefore, the expression [tex]8^4[/tex] has the base 8.
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What does an arrow as an endpoint
imply for a function? How does it
effect your domain and range?
I
Answer:
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Answer:
It menas that it keeps going.
Step-by-step explanation:
If you have a line with an arrow at the end it means that the numbers keep on going. So say that you had a number line that ended at ten but there is an arrow, this means that there is more or less.
<- ->
10 less than ten 10, more than ten.
1
A line segment has the endpoints (-7,-4) and (9,8). What are the coordinates of the
midpoint of this line segment?
If mLP = (19x - 5) and x = 4, find mLP and classify the angle.
mLP = ?
Classify the angle.
Acute
Right
Obtuse
Straight
Twice the cube of a number
Answer:
2n^3
Step-by-step explanation:
n^3 represents the cube of the number n; therefore,
"twice the cube of a number" is 2(n^3) or 2n^3
Nerissa has 5 pink bows,1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow form the box.
What is the probability nerissa will choose a purple bow?
\small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle. \small m\angle L= degrees \small m\angle M= degrees
Answer:
[tex]L = 111[/tex]
[tex]M = 69[/tex]
Step-by-step explanation:
Given
[tex]L = 12x + 45[/tex]
[tex]M = 18x - 30[/tex]
Required
Determine L and M
Since both angles are supplementary;
[tex]L + M = 180[/tex]
Substitute values for L and M
[tex]12x + 45 + 18x - 30 = 180[/tex]
Collect Like Terms
[tex]12x + 18x= 180 - 45 + 30[/tex]
[tex]30x= 165[/tex]
Divide both sides by 30
[tex]x = \frac{165}{30}[/tex]
[tex]x = 5.5[/tex]
Substitute 5.5 for x in [tex]L = 12x + 45[/tex] and [tex]M = 18x - 30[/tex]
[tex]L = 12 * 5.5 + 45[/tex]
[tex]L = 111[/tex]
[tex]M = 18 * 5.5 - 30[/tex]
[tex]M = 69[/tex]
La suma de dos numeros es 208 y su diferencia es 122¿cuales son los numeros?
Answer:
Los números son:
43 y 165
Step-by-step explanation:
Planteamiento:
a + b = 208
a - b = 122
Desarrollo:
de la segunda ecuación del planteamiento:
a = 122 + b
sustituyendo este último valor en la primer ecuación del planteamiento:
(122+b) + b = 208
2b = 208 - 122
2b = 86
b = 86/2
b = 43
a = 122 + b
a = 122 + 43
a = 165
Comprobación:
165 + 43 = 208
165 - 43 = 122
What is the square root of 586
Which number gives you a rational sum when you add it to 4/7?
Answer:
Thus, the rational number 93/77 should be added to -7/11 so as to get 4/7.
Select the answer choice showing the correct conversion of 2 miles to feet. There are 5280 feet in 1 mile.
Answer:
you need to provided the answer choices
Step-by-step explanation:
A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
Answer:
B
Step-by-step explanation:
I took the assignmen.
The reflection of point that will produce the image at same coordinate (0, k) is across the y - axis
We have a Point with coordinates (0, k).
We have to find the reflection that will produce the image at the same coordinate (0, k).
Consider a Point P (x, y). Find the image of the point across x - axis and y - axis.For a Point P [tex](x,y)[/tex] the image across -
x - axis is (x, -y).y - axis is (-x, y)We can use the above laws to find the reflection of point
For Point P(0,k) , the -
image across x - axis will be (0, -k).image across y - axis will be (-0, k), which is same as (0, k).Hence, the reflection of point that will produce the image at same coordinate [tex](0,k)[/tex] is across the y - axis.
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1. A point is named or labeled using? 2. Three distinct points are collinear if ? 3. Three distinct points are coplanar if ? PLZ HELP
Answer:
1) A point P is named or labeled by using a coordinate pair, where the regular notation is:
P = (x, y).
Where x and y are the horizontal and vertical components.
2) Three distinct points are collinear if exists a line that passes through the 3 points.
3) Three distinct points are complanar if they are not collinear, this means that:
We can have two colinear points (so one line connects them) and another point outside that line.
Then the set of 3 points is coplanar.
Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ...
Answer:
whoa slow down one by on pls its hard for me 2 answer all that at once
Step-by-step explanation:
find the diffrence between -2 and 7 on the number line
Answer:
9 units
Step-by-step explanation:
Calculate the absolute value of the difference, that is
| - 2 - 7 | = | - 9 | = 9 , or
| 7 - (- 2) | = | 9 | = 9
What is the area of the figure? I need help ASAP. I will mark brainlest!!
Answer:
Picture explains all, 252.
Step-by-step explanation:
Convert the fraction into a percentage.
1
7
10
=
%
Answer:
170%
Step-by-step explanation:
6. During the school fundraiser, the 4th grade raised $2,124. The 5th grade raised $396 less than 4th grade. How much money did the 4th and 5th grades raise together?
Answer:
$3,852
Step-by-step explanation:
Total for 4th grade: 2,124
5th grade: raised 396 less
2,124-396= total amount 5th graders raised
2,124-396=1,728
2,124+1,728=3,852
They raised $3,852 dollars.
Answer: 3,852
there you go
Help? : )) thank yall
Answer:
Third option: [tex]-10x^7y^2[/tex]
Step-by-step explanation:
[tex]12x^4\left(-\frac{5}{6}x^3y^2\right)[/tex]
Remove brackets:
[tex]12x^4\times-\frac{5}{6}x^3y^2[/tex]
Multiply the [tex]x^2[/tex]:
[tex]12\times-\frac{5}{6}x^{4+3}\times y^2[/tex]
[tex]12\times - \frac{5}{6}x^7y^2[/tex]
Multiply:
[tex]-\frac{5\times \:12x^7y^2}{6}[/tex]
[tex]-\frac{60x^7y^2}{6}[/tex]
Divide:
[tex]-10x^7y^2[/tex]
Answer:
the answer to your question is -10(x^7) (y^2)