question: the solutions of a quadratic equation are x=-7 and 5. which could represent the quadratic equation and why?
Answers
Answer:
B) x²+2x-35=0; the factors are (x+7)(x-5)
Step-by-step explanation:
The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given that,
a quadratic equation has the solutions x = -7 and 5.
There are two options, x² + 2x - 35 and x² - 2x - 35
Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.
Consider, x² + 2x - 35 = 0
There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35
So it can factored as,
(x + 7) (x - 5) = 0
Solutions are x = -7 and x = 5
Hence the quadratic equation is x² + 2x - 35 = 0.
Learn more about Quadratic Equations here :
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Related Questions
Helpp me pls I'm struggling
Answers
Answer:
B. 2nd Play and B. 2nd Play
Step-by-step explanation:
#1) Going negative means going backwards.
-8<10.5
#2) Absolute value means making all numbers INSIDE the two lines positive.
I-8I = 8
I10.5I = 10.5
Help me out with this math problem for 50 points!!!
Answers
Which of the following could NOT be the probability of an event?
2, 25%, 0.4
Answers
Answer:
2
Step-by-step explanation:
The range of probability of an event lies between 0 and 1.
Hence, 2 cannot be the probability.
PLS HELP ME
What is the interquartile range of the data? With the numbers 2,3,3,4,5,7,8,8,8,10,10, and 12
Answers
Answer:
5.5
Step-by-step explanation:
2,3,3,4,5,7,8,8,8,10,10,12
The mean of this data is 7.5. So what you are trying to figure out is the mean between 2 and 7. Since that is 3 and 4 it would be 3.5. So 3.5 is the Q1. Now you have to figure out the mean between 8 and 12. That is 9. This is Q3. You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer. I hope that made sense.
There is an equal number of 2 brands of watches on a shelf. Brand at watches cost $58 each, and Brand B watches cost $30 each. If the total cost of all the watches on the shelf is $22,000, how many watches are there?
Answers
Answer: There are 227 watches.
Step-by-step explanation:
What I did was that, I added the cost of watch A and B and then divided the sum by $22,000
x/2*58=x/2*30=22000
58x/2+30x/2=22000
58x+30x=44000
88x=44000
x=44000/88=500
Ans:
Number of watches on the shelf=500
can someone help me on this problem what does it mean by a “smaller zero”? what is the zero
Answers
Answer:
(c) -2/5
Step-by-step explanation:
A "zero" or "root" or "x-intercept" of a function is a value of the independent variable (x) that makes the function (f(x)) have a value of zero. It is found where the graph of the function crosses the x-axis.
A quadratic function will have two (2) zeros. If they are different, one will be smaller than the other (leftmost on the number line).
Difference of squaresYou may recognize that 25x² and 4 are both perfect squares, (5x)² and 2², respectively. That means the expression (25x² -4) is the difference of squares.
The difference of squares is a special polynomial form, useful for the way it factors:
a² -b² = (a -b)(a +b)
Here, that means the factored form of f(x) is ...
f(x) = (5x -2)(5x +2)
Zero product ruleThe "zero product rule" says a product can only be zero if one or more factors is zero. This is exceptionally useful for determining the zeros of a polynomial function from its factored form.
It tells us f(x) = 0 only when one of (5x-2) = 0, or (5x+2) = 0. These are simple equations to solve to find the corresponding values of x:
5x -2 = 0 ⇒ 5x = 2 ⇒ x = 2/5
5x +2 = 0 ⇒ 5x = -2 ⇒ x = -2/5
Zeros of f(x)The above tells us the zeros of f(x) are -2/5 and 2/5. These values of x make f(x) = 0. The smaller zero is the one that is more negative: -2/5.
smaller zero: -2/5
__
Additional comment
A polynomial may have complex zeros. Only the real zeros will be x-intercepts on a graph of the function. Complex zeros must be found another way, not by graphing.
Brainliest, yas, help pls
Answers
Answer:
1st box: 6/9
2nd box: 1/9
3rd box: 5/9
Step-by-step explanation:
Finding the LCD is pretty simple here, it has to at least be the highest denominator, which is 9, and since 3 goes into 9 evenly we get a LCD of 9.
Then to make the fractions correct we do 2/3 x 3/3 which is 6/9.
So now we figure out 6/9 - 1/9 which is just subtracting the numerator so 6/9 - 1/9 = 5/9 and since that is the most it can be simplified, 5/9 is our answer. Hope this helps!
Answer:
6/9
1/9
5/9
What is a least common denominator?
Well, a least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.
Find LCM(3, 9)
3: 3, 6, 9,
9: 9
2/3 = 2/3 × 3/3 = 6/9
1/9 = 1/9 × 1/1 = 1/9
2/3 = 6/9
1/9 = 1/9
6/9 - 1/9 = 5/9
Therefore the answers are in bold.
can someone please help me with this?
Answers
Step-by-step equation: they are both slanted and on the far left of the shape. (They look the same!)
BRAINLIEST TO THE RIGHT ANSWER!!!! 50PTS
SHOW ALL YOUR WORK
part 1: Paul the alien uses the function y=5/4 x+7 to model the situation. What weight does the model predict for an infant of 16 months?
part 2: What does the number 5/4 in Part (1) mean in the context of the situation?
part 3: What does the number 7 in Part (1) mean in the context of the situation?
Answers
Answer:
See below
Step-by-step explanation:
1 put in 16 for x
5/4 (16) + 7 = 27 pounds at 16 months
2 5/4 would be the pounds an infant should put on each month
3 7 would be when the infant is born ( x = month 0) 7 pound birthweight
Answer:
See below
Step-by-step explanation
Step-by-step explanation:
1 put in 16 for x
5/4 (16) + 7 = 27 pounds at 16 months
2 5/4 would be the pounds an infant should put on each month
3 7 would be when the infant is born ( x = month 0) 7 pound birthweight
Please help find out what the percentage is
Answers
Answer:
1.68% of people would want a longer day
20% of people would want more foreign languages
24.6% of people would want more science
25.8% of people would want longer lunch
27.92% randomly selected
Step-by-step explanation:
The center is a typical value.
It is the _______________ value of a dot plot.
Answers
When referring to a dot plot, scatter graph, or scatter plot such as this one, the line that represents the averages of all Y values is known as a line of best fit.
Hope this helps,
Jeron
:)
Answer:
When referring to a dot plot, scatter graph, or scatter plot such as this one, the line that represents the averages of all Y values is known as a line of best fit.
Step-by-step explanation:
Brainliest AGAIN, lol, help quickly!
Reduce this fraction to the lowest terms.
1 4/12
A.1 1/5
B.1 1/3
C.1 1/4
Answers
Answer:
B
Step-by-step explanation:
divide 4 and 12 by 4 and get 1/3
Hope this helps. Just simplify !
1. What is the probability of spinning a multiple of 2 and flipping heads?
Answers
2/4 chance because x+2/4=#%q1/2
Must answer correctly don't put something random for points or getting reported
You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangle gular prism. Use the diagram to find the volume of your new backpack, then explain how u calculated the answer. Use the pictures with the formulas to help also use the sentence starters.
Sentence Starters:
The volume of the large rectangular prism (the bottom part of the backpack) is __inᶾ.
The volume of the pocket, which is also a rectangular prism is _____ inᶾ.
The volume of the half cylinder, which is the top curve of the backpack, is _____ inᶾ.
When you add all three of these together, you get the total volume of _____ inᶾ.
Hint: Find the volume of each shape; there are 3 of them; two rectangular prisms and half of a cylinder, and then add all 3 of them together. For the cylinder, you only need half, so find the volume of the whole cylinder then divide it by 2 for half. )
Answers
Answer:
Main part of backpack V = 840 inᶾ
Front pocket of backpack V = 64 inᶾ
Top curve of the backpack V = 395.8406744 inᶾ
Total V = 1299.840674 inᶾ
Step-by-step explanation:
1.
As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl). We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket). As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h). We will use this formula to find the volume of the half cylinder (top curve of the backpack).
2.
For the large rectangular prism (main part of the backpack), we are given:
w = 7in
h = 10in
l = 12in
Now let's incorporate our formula for the volume of a rectangular prism into this situation.
V = whl
V = 7 x 10 x 12
V = 840 inᶾ
3.
Now for the smaller rectangular prism (front pocket of backpack), we are given:
w = 2in
h = 4in
l = 8in
Now let's incorporate our formula for the volume of a rectangular prism into this situation.
V = whl
V = 2 x 4 x 8
V = 64 inᶾ
4.
Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder. We are given:
r = 6in
h (which will be the same as the width of the backpack in this case scenario) = 7in
Now let's incorporate our formula for the volume of a rectangular prism into this situation.
V* = πr^2h
V* = π x 6^2 x 7
V* = 791.6813487 inᶾ (round this number if you must)
Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.
V = V*/2
V = 791.6813487/2
V = 395.8406744 inᶾ (round this number if you must)
5.
Finally, we can add our volumes together to acquire the volume of the backpack as a whole!
Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)
Recall that:
Large rectangular prism (bottom part of the backpack) = 840 inᶾ
Smaller rectangular prism (the pocket) = 64 inᶾ
Half cylinder (top curve of the backpack) = 395.8406744 inᶾ
So:
Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ
Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)
i need help on this- nothing is right for me
Answers
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
Area = Length×Width
5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.
6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
A bag contains tiles of different colors. Jackson randomly selects a tile from the bag and returns the tile to the bag after recording the color. Jackson picks a green tile 6 times, a red tile 20 times, a blue tile 7 times, a purple tile 8 times, and a black tile 4 times.
Answers
Answer:
2/15
Step-by-step explanation:
The answer choices to this question do not make sense since probability is a measure that is always <= 1.0
Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles
Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45
Probability of drawing a green tile = 6/45 = 2/15
Pls answer this, first one to answe this gets brainliest!
Answers
Answer:
22
St
ep-by-step explanation:
Find the middle value of the data set and that is your answer. If there are 2 middle values then add them together and divide by 2.
Whats the answer????
Answers
Answer:
A has been reflected over the x-axis
B has been reflected over the y-axis
C has been reflected over the x-axis
Step-by-step explanation:
16. Consider any eight points such that no three are collinear.
How many triangles are determined?
Answers
idc what your answer is. as long as it is related to the problem and makes sense, its based off of your opinion. (2 attachments, 4 problems)
Answers
Answer:B
Step-by-step explanation:
need some help!! gotta get those grades up
Answers
Pls answer quick and no links! I’ll give brainliest to the correct answer
A large solar panel is designed to have multiple smaller sections. A small section of one panel is pictured below. Imagine it breaks and needs to be replaced. Your friend says that it has an area of 30.4 inches. Do you agree? Explain your reasoning.
(Edge math project: International Space Station -Finding Area Project - Step 1: question C)
Answers
Step 1: Identify(find the area and contrast)
Step 2: Formulate((10.4 * 4.8)/2)
Step 3a: Solve Inside((49.92)/2)
Step 3b: Solve Complete(24.96)
Step 4: Contrast(24.96 != 30.4)
Step 5: Finalize(Disagree)
The requried small section of the solar panel does not have an area of 30.4 inches.
What is surface area?Surface area is defined as the measure of a region or surface is called as surface area.
Identify the problem and find the area of the small section.
Formulate the area using the dimensions provided: (10.4 x 4.8)/2
Solve for the area: (49.92)/2 = 24.96
Contrast the calculated area with the given area: 24.96 is not equal to 30.4.
Finalize the answer: Disagree, the small section of the solar panel does not have an area of 30.4 inches.
Thus, the requried small section of the solar panel does not have an area of 30.4 inches.
Learn more about the surface area here: https://brainly.com/question/2835293
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Barb pulled the plug in her bathtub and it started to drain. The amount of water in the bathtub as it drains is represented by the equation L = -5t - 8t + 120, where L represents the number of liters of water in the bathtub and t represents the amount of time, in minutes, since the plug was pulled. How many liters of water were in the bathtub when Barb pulled the plug? Show your reasoning. Determine, to the nearest tenth of a minute, the amount of time it takes for all the water in the bathtub to drain.
Answers
The bathtub had 120 L of water before Barb pulled the plug.
It will take about 9.23 minutes for the water to drain out.
Given equation: L = -5t - 8t + 120
Simplified: L = -13t + 120
Notice how it's written in slope-intercept form (y = mx+b)
The y-intercept (L) is 120. So the coordinates for L = (0 , 120)
The coordinates mean that before the water in the bathtub began draining out, it initially had 120 Liters of water.
Now that we know how many liters there were before, the new equation would look like this: L = -13t --> 120 = -13t
Solving the equation, we get that t = -9.23 minutes
Since time can't be negative, we'll just say that it will take 9.23 minutes to drain out all the water.
pulled the plug.
It will take about 9.23 minutes for the water to
drain out.
Given equation: L=-5t - 8t + 120
Simplified: L=-13t + 120
Notice how it's written in slope-intercept form (y
= mx+b)
The y-intercept (L) is 120. So the coordinates for
L= (0, 120)
The coordinates mean that before the water in
the bathtub began draining out, it initially had
120 Liters of water.
Now that we know how many liters there were
before, the new equation would look like this: L
=-13t -> 120 = -13t
Solving the equation, we get that t=-9.23
minutes
Since time can't be negative, we'll just say that it
will take 9.23 minutes to drain out all the water.
What is the volume of the figure below?
2 stacked rectangular pyramids. The pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.
30 feet cubed
60 feet cubed
90 feet cubed
120 feet cubed
Answers
The correct answer is C 90
4•5=20
20•4.5=90
90 feet cubed
The net of a rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of the rectangular prism in square meters?
Answers
Answer:
642.96
Step-by-step explanation:
To find the surface area"
[tex]SA=2lw+2lh+2wh[/tex]
Insert measurements into the equation:
[tex]SA=2*17\frac{2}{5}*3+2*17\frac{2}{5}*13.2+2*3*13.2[/tex]
Now to go through the very tedious steps of actually solving the equation (we got this!)
[tex]2*17\frac{2}{5}*3= 104.4[/tex][tex]2*17\frac{2}{5}*13.2=459.36[/tex][tex]2*3*13.2=79.2[/tex]Next: Addition
[tex]104.4+459.36=563.76[/tex][tex]563.76+79.2=642.96[/tex]And we have our answer!
I hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!
Have a great day
:)
Identity the correct weight to the nearest 1/8 pound,then reduce the fraction if possible,which of the following would a scale be used to measure
Answers
Answer:for the 3rd ques the answer is number 2
Step-by-step explanation:
explain in word form.
Answers
Answer:
62
length x width x hight
Step-by-step explanation:
length x width
you’re welcome
Do 18/24 and 10/15 have the same value? Explain your answer in complete sentences.
Answers
Answer:
No
Step-by-step explanation:
We can either cross multiply or turn into decimal form to see if they have the same value.
I will be showing both.
Cross Multiply: Decimal Form:
[tex]\frac{18}{24} \;[\;\;] \frac{10}{15}[/tex] [tex]\mathrm{To\;turn\;fraction\;into\;decimal\;just}[/tex]
[tex]18\times15=270[/tex] [tex]\mathrm{Divide\;numerator \;by \;denominator\;}[/tex]
[tex]24\times10=240[/tex] [tex]\mathrm{18\div24=0.75}[/tex]
[tex]\frac{18}{24} \;[ > ] \frac{10}{15}[/tex] [tex]\mathrm{10\div15=0.66666666666}[/tex]
[tex]\mathrm{As\;a\;result\;we\;can}[/tex] [tex]0.75 > 0.66666666666[/tex]
[tex]\mathrm{conclude\;that\;\frac{18}{24} \;is\;greater\;than\;\frac{10}{15}}[/tex] [tex]\frac{18}{24} \;[ > ] \frac{10}{15}[/tex]
We can conclude that 18/24 and 10/15 are not the same.
~Kavinsky
The temperature rised 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
-18 degrees
9 degrees
18 degrees
-10 degrees
Answers
Answer:
18 degrees
Step-by-step explanation:
6 hours times 3 Fahrenheit every hour is 18 Fahrenheit
HELP PLEEEAAASEEEE
A farmer planted 154 tomato plants. 46 of the plants d!ed. He replanted the plants in rows, with each row containing 9 plants. Which equation can be used to find p, the number of rows the farmer planted?
A) p = (154 46) × 9
B) p = (154 46) − 9
C) p = (154 − 46) 9
D) p = (154 − 46) ÷ 9
Answers
Answer:
154+46×9 is the write answer