Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)
Answers
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Related Questions
if the simple interest eamed on $8000 for 9 years is $2,160. Then what is the interest rate?
Answers
Answer:
3%
Step-by-step explanation:
2160/9 years =240/year
240/8000=3%
A sample of juniors and seniors were asked if they plan to attend college.
One surveyed student is selected at random. Select all that apply. Percents are rounded.
A. The probability the student is a junior is 52%.
B. The probability the student plans to attend college is 70%.
C. Given the student plans to attend college, the probability the student is a junior is 68%.
D. Given the student is a junior, the probability the student plans to attend college is 68%.
E. Events "is a junior" and "plans to attend" are independent.
F. Events "is a senior" and "plans to attend" are independent.
Answers
Answer:
From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:
C. Given the student plans to attend college, the probability the student is a junior is 68%.
D. Given the student is a junior, the probability the student plans to attend college is 68%.
F. Events "is a senior" and "plans to attend" are independent.
B. The probability the student plans to attend college is 70%.
Step-by-step explanation:
Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?
Answers
Answer:
$496,800
Step-by-step explanation:
Present cost = $480,000
%increase = 3.5%
Present price of the house = 480,000 + 3.5% of 480,000
= 480,000 + 0.035 * 480,000
= 480,000 + 16,800
= $496,800
Present price of the house = $496,800
You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick a pink marble? there are 3 pink marbles
Answers
Answer:
6 times
Step-by-step explanation:
If there are total of 6 marbles and 3 are pink, then you will have a one half (or 50%) chance of picking a pink marble. Because you put the marble back each time, your chance of picking a pink marble remains the same every time.
So one half of 12 is 6. You are predicted to pick a pink marble 6/12 times.
please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!
Answers
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5
129,454,475,954 Which digit is in the hundred-thousands place?
Answers
Answer
129,454,475,954
Step-by-step explanation:
it is the four in bold
Answer:
4 is in the hundred-thousands place.
Explanation:
129,454,475,954
(the one that I bolded and underlined out)
DUE VERY SOON. PLEASE ANSWER FAST
Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answers
Answer:
They help know which decision is best and help you realize. It help expirement as well. For example you are trying to see what happens after making a decision. Decisions are also well known to making good and correct choices.
where would the line y=x+7 cross the y axis? how do you know?
Answers
Answer:
At point (0, 7)Step-by-step explanation:
The line crosses with y-axis when x = 0:
y = 0 + 7 = 7The y-intercept is the required point and its coordinates are (0, 7)
Please Help Me With This Problem.
A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this.
Answers
Answer:
10(6) + 5x = 180
60 + 5x = 180
- 60 - 60
---------------------
5x = 120
------------
5 5
x = 24
Step-by-step explanation:
The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D
To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?
Answers
Answer:
1 cup of brown sugar to 2 teaspoon of baking soda
Step-by-step explanation:
Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.
Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.
The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda
Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft
Answers
Answer:
195 answer.plus minus plus minus plus minus
2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?
A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5
Answers
whats the correct equation to solve for x
Answers
Answer:
12x - 29 + 4x + 1 = 180
Step-by-step explanation:
(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then
12x - 29 + 4x + 1 = 180 ← is the equation to solve for x
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?
Answers
We are gonna use x to represent this number.
x/100 * 20 = 4
Solve for x
Therefore x = 20cm
Now that we found x the side of the larger square we are gonna find the area which is side^2.
20 * 20
Therefore the area of the larger square is 400cm^2
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
Answers
Answer:
Step-by-step explanation:
The coordinate is (x,-y)
Can anyone help me with this please?
Answers
Answer:
The ones selected are correct
Tyleris making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work,to make the same number of invitations each day. Tylerdrawsa diagram to represent the situation.
Answers
Answer:
Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.
Tyler has to make 8 invitations each day.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Total number of invitations to the fair = 122
Already, 66 invitations has been made.
Remaining invitations = 122 - 66 = 56
56 invitations has to be made in a week or 7 days.
Let x be the number of invitations made each week.
x = 56 / 7 = 8
Hence 8 invitations has to be made each day.
Learn more about Equations here :
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Your question is incomplete. The complete question is as follows.
Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.
The total of the x's and 66 is 122.
How many total invitations is Tyler trying to make?
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answers
The answer is b. because the other ones don't charge money according to the number of miles.
Answer:
The structure that you used in your research paper can also be used for your presentation. For example, just like how your
Step-by-step explanation:
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answers
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
Write (43)5 as a single power of 2
Answers
Answer:
Inserting the squared symbol on your Android smartphone is relatively easy and straightforward. To insert the squared sign, just long-press the number 2 and it will insert the superscript ².
Step-by-step explanation:
The yearbook has 12 pages for ads. Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in. If all the ad space sells at $10 per ad, how much money will this raise for the yearbook?
Answers
Answer:
$480
Step-by-step explanation:
Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in
based on the dimensions, there would be 4 ads per page
total ads in 12 pages = 4 x 12 = 48
total cost of ads = 48 x 10 = 480
1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answers
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
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The function h is defined by
h(x)=x²-2.
Find h(2z)
Answers
Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
The solution set of the inequality 2x – y > 2 consists of all the points ?_the line ?
O
above; y = 2x - 2
below; y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
0
Answers
Answer:
Step-by-step explanation:
Find the arc length of the semicircle
Answers
Answer:
Arc length of the semicircle is 12.57 cm.
Step-by-step explanation:
From the given picture,
Measure of diameter = 8 units
Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 units
Since, circumference of a semicircle is given by the expression,
C = πr
Here, r = radius of the semicircle
Circumference of the given semicircle = π(4)
= 4π
= 12.57 cm
Therefore, arc length of the semicircle is 12.57 cm.
Answer:
Its 16 pi
Step-by-step explanation:
guys whats 10x10 pls help me thank you
Answers
It's 100 ... ... ... ... ...
Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.
Answers
According to the property of proportions,
Product of means = Product of extremes
x and 22 are extremes. (x + 7) and 16 are means.So, simply we did cross multiplication.
Step-by-step explanation:
56/3 is the answer. Refer to the attachment for the solution. :)
Can someone please help me out with this? *with full explanation
no bots please, thank you!!
Answers
Answer:
Well if perminder = 52ft that means x=5b8
Step-by-step explanation:
Which of the following are solutions to |x+3|= 4x- 7
Answers
mixed number form : 3 1/3
exact form : 10/3
Answer: 10/3 or 3.33
Step-by-step explanation:
Find the exact value of tan A in simplest radical form
Answers
Answer:
tan A = 1.8
Step-by-step explanation:
tan A = 14/√60 = 1.8