Answer:
Roots are -3, 2
Step-by-step explanation:
y = −x^2 − x + 6
To find out the roots we set y=0 and solve for x
0 = -x^2 -x+6
Factor out -1
0=-1(x^2+x-6)
divide both sides by -1
x^2 +x -6=0, factor x^2 +x-6
product is -6 and sum +1
3* (-2) = -6
3-2= 1
so factors are 3 and -2
x^2 +x -6=0
(x+3)(x-2)=0
Set each factor =0 and solve for x
x+3 =0 , so x=-3
x-2=0, so x= 2
Roots are -3, 2
the table shows the relationship between the number of days a plant grows and its height. Graph the data in a scatter plot and describe the trend shown by the graph.
#of Days / Plant Height (cm)
0 / 5
2 / 6
4 / 8
5 / 10
6 / 13
7 / 14
8 / 17
Answer:
The Scatter Plot is shown below:
Step-by-step explanation:
Scatter Plot is the graphical representation of two-dimension data. It is plot to see the relation between two data values.
Here both X and Y has discrete or continuous data types.
By the scatter plot, we see that as we increase the value of X, value of Y also get increases. Thus, both has Positive Correlation.
find the nth term of the sequence
Cost of 9 candies at $1.11 each?
4 mi= ft and 5 mi=. yd help me
Which ordered pair is a solution of the equation? 3x-y=133x−y=13
In the last basketball game, the panthers scored 63 points. This was seven times the number of points that Reilly scored. Write and solve an equation to find the number of points Reilly scored
And how much did the rest of the team score
What is the slant height for the given pyramid to the nearest whole unit?
Pyramid base: 12 cm
Height: 8 cm
The slant height for the given pyramid to the nearest whole unit si,
⇒ 14 cm
Given that;
Pyramid base : 12 cm
Height : 8 cm
Now, Let the value of slant height = a
Hence, We can formulate;
a² = 12² + 8²
a² = 144 + 64
a² = 208
a = √208 cm
a = 14.4 cm
a = 14 cm
Thus, The slant height for the given pyramid to the nearest whole unit si,
⇒ 14 cm
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What is the probability that a point chosen at random in the given figure will be inside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside smaller triangle) = $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A triangle with a base of 2 centimeters and a height of 2 centimeters is within a larger triangle with a base of 6 centimeters and a height of 5 centimeters. The sides of the inner triangle do not touch the sides of the outer triangle.
Answer:
51/100
Step-by-step explanation:
Which of the following situations involve opposite quantities combine to make 0?
a. Eva has a new piggy bank. She adds 7 quarters on Wednesday and then adds another 5 quarters on Friday.
b. David made lemonade. He had 2 1⁄2 liters of water and used 5/2 liters for lemonade.
Final answer:
Option b is the situation where opposite quantities combine to make zero. David used 2 1/2 liters of water (which is equivalent to 5/2 liters) to make lemonade, resulting in no water left, indicating the quantities have combined to make zero.
Explanation:
The question asks which scenario involves opposite quantities that combine to make zero. Let's examine the given options:
a. Eva adding quarters to her piggy bank on different days does not involve opposite quantities, as both actions are additive and result in an increase in the number of quarters.
b. David having 2 1⁄2 liters of water and using 5/2 liters for lemonade represents a scenario where opposite quantities combine to make 0. It's because 2 1⁄2 is a mixed number equivalent to 5/2, so when 5/2 liters of water are used, the quantities are opposite (one positive and the other negative) and they cancel each other out, leaving 0 liters.
The correct answer to which scenario involves opposite quantities that combine to make zero is b. David made lemonade using all of the water he had, ending with none left.
Option b, where David uses 5/2 liters of water for lemonade from an initial 2 1/2 liters, demonstrates opposite quantities combining to make 0. These quantities are the same, and when subtracted from each other, result in zero.
Explanation:The question asks which of the given situations involve opposite quantities that combine to make 0. Option b represents such a situation. David had 2 1⁄2 liters of water, and then he used exactly 5/2 liters for lemonade, which are opposite quantities when considering addition and subtraction, since 5/2 liters is the equivalent of 2 1/2 liters.
To further explain, when David uses the 5/2 liters of water for lemonade, this amount is subtracted from the initial 2 1⁄2 liters, leading to a remainder of 0 liters. This is an example of performing an operation with opposite quantities where the result is zero.
Geometry help plz I don’t get it
what is the length of xz
Heart 1 is translated 3 units down to heart 2. Which shows this transformation?
images go to
1 2 3 4
ANSWER ASAP PLEASE I BEG! ILL FAIL! IF NOOOOOT!
Answer:
Image IV
Step-by-step explanation:
We are given that
Heart 1 is translated 3 units down to heart 2.
We have to find the image which shows this transformation.
The translation rule when a figure is shift 3 units down is given by
[tex](x,y)\rightarrow (x,y-3)[/tex]
The coordinates of a point lie on heart are (-2.5,3)
After translation 3 units, the coordinates of corresponding point which lie on the heart
[tex](-2.5,3)\rightarrow (-2.5,0)[/tex]
Therefore,the heart shift from II quadrant to III quadrant.
Image I is not true because the heart 1 shift to heart 2 in quadrant III not in IV quadrant.
In image II ,the corresponding point of the point (-2.5,3) is (-2.5,-3).
Image II is not true because the corresponding point is (-2.5 ,0) not (-2.5,-3).
Image III is not true because heart 2 should be in quadrant III not in quadrant I after translation 3 units down of heart 1.
Image IV is true because the corresponding point of the point (-2,5,3) is (-2.5,0) and heart 2 lies in quadrant III.
A rectangular pillow has a length of 14 in., width of 12 in., and height of 3 in.
Which is the correct unit of measurement to use to figure out how much material is used to cover the pillow?
A.
in.
B.
in₂
C.
in³
Answer: It's B)(in^2 hope I helped.
A snail has traveled 1.15 miles in 5days. There are 2,280 feet in a mile and 12 inches in a foot. How many inches did the snail travel
The snail traveled 31,464 inches.
Explanation:To convert the distance traveled by the snail from miles to inches, we need to convert miles to feet and then feet to inches. We know that there are 2,280 feet in a mile. So, the snail travels 1.15 miles x 2,280 feet/mile = 2,622 feet. Next, we know that there are 12 inches in a foot. So, the snail travels 2,622 feet x 12 inches/foot = 31,464 inches.
X and Y are parallel.
If the measure of is 150 degrees, find the measure of this angle.
M∠ 2
Given that angles X and Y are parallel, and that angle X measures 150 degrees, angle Y would also measure 150 degrees, as corresponding angles are equal in measure when lines are parallel.
Explanation:The subject in the question is Mathematics. Specifically it involves the topic of geometry, and concepts of parallel lines and angles. Given angles X and Y are parallel and the measure of angle X is 150 degrees, the measure of angle Y, by properties of parallel lines, would also be 150 degrees, as corresponding angles are equal.
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Find the unknown. 1,025 = ( × 9) + 17
Explain why a line of best fit is helpful when analyzing data
A line of best fit is useful during data analysis for the following reasons:
Identifying patterns Making predictions Simplify interpretation Identifying outliersIdentifying Trends and Relationships:
The line helps visualize the overall direction and tendency of the data points. It reveals patterns and trends that might be difficult to see when looking at individual data points alone. This allows you to understand the relationship between two variables and how they might be correlated.
Making Predictions:
The line of best fit can be used to estimate the value of a variable based on the value of another. This allows us to make predictions about future trends and outcomes.
Simplifying Data Interpretation:
The line provides a concise summary of the data, making it easier to understand and interpret. It eliminates the need to analyze every data point individually, saving time and effort. This is particularly beneficial when dealing with large datasets.
Identifying Outliers:
Deviations from the line of best fit can highlight data points that are significantly different from the overall trend. This can help identify outliers that might be caused by errors, unusual events, or other factors.
for your customer survey project you have successfully interviewed 90% of the customers per month this month you had 500 customers you have interviewed 430 customer so far have you met your goal
The sound intensity of a normal conversation is 10^6 times greater than the quietest noise a person can hear. The sound intensity of a jet at takeoff is 10^14 times greater than the quietest noise a person can hear. How many times more intense is the sound of a jet at takeoff than the sound of a normal conversation? Write your answer as a power.
PLEASE HELP FAST!!!
The sound of a jet at takeoff is [tex]10^{8}[/tex] times more intense than the sound of a normal conversation.
The sound intensity of a jet at takeoff is [tex]10^{8}[/tex]times more intense than the sound of a normal conversation.
To calculate this, you need to find the difference in intensity between the jet at takeoff and a normal conversation, which is [tex]10^{14}[/tex] – [tex]10^{6}[/tex] = [tex]10^{8}[/tex]
Therefore, the sound of a jet at takeoff is [tex]10^{8}[/tex] times more intense than the sound of a normal conversation.
If Mitchel ate 45 hot dogs in 3 minutes at the annual hot dog eating contest. What is Mitch unit rate?
The unit rate is calculated by dividing the total quantity by the given time unit. For Mitch who ate 45 hot dogs in 3 minutes, his unit rate was 15 hot dogs per minute.
Unit rate is the ratio of a quantity to one, such as miles per hour or cost per item. To find Mitch's unit rate of hot dogs eaten per minute, we divide the total number of hot dogs by the time taken. In this case, Mitch ate 45 hot dogs in 3 minutes, so his unit rate is 45 hot dogs / 3 minutes = 15 hot dogs per minute.
A wooden toy kit has different painted solids. One solid is a cylinder with diameter 2cm and height 2cm. what is it's volume
Which is equivalent to 4 square root 9^1/2x? Choices are: A) 9^2x B) 9^1/8x C) square root 9^x D) 6 square root 9^x
Answer: The correct option is B.
Explanation:
The given expression is,
[tex]\sqrt[4]{9^{\frac{1}{2}}}x[/tex]
Use the property of radical expression [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex].
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=(9^{\frac{1}{2})^{\frac{1}{4}}}x[/tex]
Use the property, [tex](x^m)^n=x^{mn}[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{2\times 4}x[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{8}x[/tex]
Therefore, the correct option is B.
is Jeremy Camp says horse 12 gallons of water each day how many 1 quart pails of water is that
Convert 976 cups to gallons.
Answer:
just did test, answer is 61 gallons
Step-by-step explanation:
Please help me with this question.
There are 6 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are no ties)
[tex] 6\cdot5\cdot4=120 [/tex]
The number of ways the first 3 positions can be filled when there are 6 horses is given by combination and the value of P is 5 ways
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways be represented as C
Now , the value of C is given by
The number of horses in the race = 6 horses
The number of positions = 3 positions
So , the number of ways the 6 horses can take 3 positions is given by combination and the equation is
⁶C₃ = 6! / ( 6 - 3 )! ( 3 ) !
On simplifying the equation , we get
⁶C₃= ( 6 x 5 x 4 x 3 x 2 x 1 ) / ( 4 x 3 x 2 x 1 ) ( 3 x 2 x 1 )
⁶C₃= ( 6 x 5 ) / ( 3 x 2 )
⁶C₃= 5 ways
Hence , The number of ways the is given by combination and the value of P is 5 ways
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Write an inequality comparing 19 and 30
What is the slope of a line parallel to the line whose equation is 3x - 4y = 8?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
The slope of a line parallel to the line with the equation 3x - 4y = 8 is 3/4, which is option C.
To find the slope of a line parallel to the given line, first, we need to write the equation of the given line in slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the equation 3x - 4y = 8, we rearrange it to solve for y:
3x - 4y = 8
-4y = -3x + 8
y = (3/4)x - 2
The slope of the original line is therefore 3/4. Lines that are parallel to each other have the same slope. Therefore, the slope of a line parallel to the given line is also 3/4, which is option C.
Which are equivalent expressions to 4x+8 (select all that apply)
Somebody please help me! I'm desperate
Two rectangles have the same width. One is 12 units long and the other is 8 units long. The area of the first rectangle is 320 square units more than the area of the second rectangle. Find the width of each rectangle.