Answer:
[tex]17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you[/tex]
To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)
1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10
show each step and break down
Answer:
The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]
Step-by-step explanation:
Step 1 of 4
[tex]\frac{48x+32y}{32}[/tex]
[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]
[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]
[tex]=\frac{3x+2y}{2}[/tex]
Step 2 of 4
[tex]\frac{9a-15b}{12}[/tex]
[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]
[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]
[tex]=\frac{3a-5b}{4}[/tex]
Step 3 of 4
[tex]\frac{6b+24c}{18}[/tex]
[tex]=\frac{6\left(b+4c\right)}{18}[/tex]
[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]
[tex]=\frac{b+4c}{3}[/tex]
Step 4 of 4
[tex]\frac{25a+5b+15c}{10}[/tex]
[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]
[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]
[tex]=\frac{5a+b+3c}{2}[/tex]
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State the gradient of the line 2y = 3 - 2x.
Answer:
Step-by-step explanation:
2y = 3 -2x
Rearrange the equation to slope-intercept form
y = -x + 3/2
Slope of line is 3/2.
Christine is a software saleswoman. Her base salary is $2300, and she makes an additional $120 for every copy of History is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of coples of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 22 coples of History is Fun.
Answer:
please give me brilliant answer
Boundless Algebra
Quadratic Functions and Factoring
Graphs of Quadratic Functions
Parts of a Parabola
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
LEARNING OBJECTIVES
Describe the parts and features of parabolas
KEY TAKEAWAYS
Key Points
The graph of a quadratic function is a U-shaped curve called a parabola.
The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).
The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.
Key Terms
vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.
axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.
zeros: In a given function, the values of xx at which y=0y=0, also called roots.
Recall that a quadratic function has the form
f(x)=ax2+bx+cf(x)=ax2+bx+c.
where aa, bb, and cc are constants, and a≠0a≠0.
The graph of a quadratic function is a U-shaped curve called a parabola. This shape is shown below.

Parabola : The graph of a quadratic function is a parabola.
In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.

Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.
Features of Parabolas
Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.
Vertex
One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Axis of Symmetry
Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.
yy-intercept
The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.
xx-intercepts
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).

Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts
Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.
Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the
Please give this in steps
Answer:
(x - y)²
Step-by-step explanation:
Given
(x + y)² - 4xy
= x² + 2xy + y² - 4xy
= x² - 2xy + y²
= (x - y)²
Answer:
[tex] {(x + y)}^{2} - 4xy = {x}^{2} + 2xy + {y}^{2} - 4xy \\ = {x}^{2} - 2xy + {y}^{2} \\ = {(x - y)}^{2} \\ thank \: you[/tex]
how to answer tyhis question plz i need help quick
16. Simplify: look at picture
please give detailed steps!!
Answer:
[tex] 2\sqrt{3} [/tex]
Step-by-step explanation:
1. Expand the expression
[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
2. To multiply the fractions, multiply the numerators and denominators seperately
[tex] = \frac{6 \sqrt{3} }{ \sqrt{3} \sqrt{3} } [/tex]
3. Calculate the product : when a square root of an expression is multiplied by itself, the result is that expression.
[tex] \frac{6 \sqrt{3} }{3} [/tex]
4. Reduce the fraction with 3 and the solution is :
[tex] = 2 \sqrt{ 3} [/tex]
A quantity of food will last 8 people for 18 days. How long will the food last 2 people?
Answer: 72 days
Step-by-step explanation:
STEP ONE: Find the total amount of food
Total days = 18 days
Total people = 8 people
Total food = days × people
Total food = 18 × 8
Total food = 144
STEP TWO: Find the days that would last for 2 people
Total people = 2 people
Total food = 144 units
Total days = food ÷ people
Total days = 144 ÷ 2
Total days = [tex]\boxed{72days}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If the length and width of rectangle A are each k times the length and width of rectangle B, which statement is true?
A.
The area of rectangle A is k3 times the area of rectangle B.
B.
The area of rectangle A is k times the area of rectangle B.
C.
The area of rectangle A is 2k times the area of rectangle B.
D.
The area of rectangle A is k2 times the area of rectangle B.
Answer:
B
Step-by-step explanation:
the area of triangle A is k times the area of triangle b
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
find the distance between pooler and savannah if there are 2 cm apart on a map with a scale of 1 cm 4.5 miles
Answer:
9 miles
Step-by-step explanation:
I have to ask here too: are you sure you have this description right ? because cm and miles are usually not used in combination.
but fine.
1 cm <-> 4.5 miles
2 cm <-> ? miles
remember questions like "if 1 apple costs $1.10, how much are 2 apples or 5 or 10 apples ?"
you remember what you had to do ?
pretty common sense : you multiplied the price by the same number that you multiplied the unit count number with. so, in my example, by 2, by 5 and by 10. and you got $2.20, $5.50 and $11.00 as prices.
so, what do you think we need to do to calculate the miles that are residents by 2 cm on the map ?
right ! we need to multiply by 2 - because 2×1 = 2.
so, 4.5 × 2 = 9 miles
yes, if 1 cm on the map stands for 4.5 actual miles, then 2 cm stand for 2×4.5 = 9 actual miles.
Help please hurry I don’t have much time!!!
Answer:
The correct answer is D
Take D
pls help me , i need it done
Answer:0.50
Step-by-step explanation:
Range= Highest number - lowest number
=1.50 -1.00= 0.50
Area of the Shaded Region rectangle within reactanlge
Find the area of the shaded region with the following measurements:
Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answer:
Here is your answer . Hope this is helpful to you.
Help please due today
Answer:
the scale factor is greater than 1
hope this helps!:)
1. Write an equivalent
ratio by multiplying:
1
-
4
Answer:
2 4
- _
8 16
Step-by-step explanation:
1 2
- X -
4 2
Or
1. 4
- X -
4. 4
(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Snell Co. performs and completes services for a client in May and bills the client $1,000. In June, the client makes a partial payment of $300 cash for the services. In July, the remaining $700 cash is paid. Determine the monthly revenue recorded in May, June, and July for this service
The financial statement performed by Snell Corporation shows how the revenue recognition provides financial statement users(i.e. the client that uses Snell Co. service in May, June, and July) with relevant information regarding the services associated with revenue from customer contracts.
In the given case, the Snell Co. service charge was hiked in May since the entire service income must be accounted for in May. The amount owed from a client is seen as a current asset on the balance sheet, and once the amount is received from a client, it is removed off from the current asset. Thus it is added to the zero dollars ($0) company's cash balance. In this case, the cash collected in June and July is not recorded as revenue.
We can conclude that the monthly revenue recorded from Snell Co. performance and services for the client in May, June, and July for this service is as follows:
Months Revenue
May $1000
June 0
July 0
Learn more about revenue here:
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Revenue is only earned after the required obligation (goods delivered or service rendered) has been fulfilled. From the question, we noted that Snell Co. performs and completes services for a client in May hence the revenue was earned in May irrespective of when money was received for the service rendered.
As such revenue earned in;
May is $1,000
June is $0
July is $0
for the service rendered
How to find 'w' ?
s is parallel to t
Answer:
110°
Step-by-step explanation:
v is 70°, that is opposite to w. The degree of a line is 180°.
180 - 70 = 110
I hope this helps!
pls ❤ and mark brainliest pls!
Sam has been asked to prepare 40 documents in 2 work days(there are 8 hours in each workday).Each document takes 30 minutes to prepare.Assuming Sam works both days,how many hours of help will he need to finish in 2 work days?
Answer:n 2 work days, there are 8 hours in each workday. How many hours of help will he need in 2 work days
Step-by-step explanation:
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
probability question
1.) A six-sided number cube is rolled, and the spinner
below is spun. Determine the probability of rolling a 3 and
spinning blue. (B=blue, R=red) Express your answer as a
fraction, a decimal, and a %.
Answer:
Step-by-step explanation:
The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.
Your chances of rolling a 3 are 1 in 6 = 1/6
Your chance of getting blue is 1/2
Your chances are 1/2 * 1/6 = 1/12
As a decimal that is 0.0833333
As a % it is 8.3333 %
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 2042% of the people of the people are ahead of me and 56% of them are behind me how many people are in the line?
Answer:
100%
Step-by-step explanation:
This question doesn't really make sense but technically it's 100%
what is the radius of a circle with the end points (-1,-2) and (5,3)
Answer:
d= 7.81
r= 3.905
Step-by-step explanation:
The following data points represent the number of police calls that were made last year in each of the cities in Hogdon County.
Sort the data from least to greatest.
363, 311, 276, 222, 253, 235, 244
Find the median number of calls.
??? calls
Help please :)
The median number of calls is 235.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given;
The data;363, 311, 276, 222, 253, 235, 244
Now to find the median arrangement will be
222,235,244,253,276,311,363
Therefore, the median will be 253
Learn more about mean and median;
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Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
