Answer:
The leading coefficient, a.
Step-by-step explanation:
In a quadratic equation:
y = a*x^2 + b*x + c
The leading coefficient is the coefficient hat that multiplies the variable with the highest power.
In this case, is easy to see that the leading coefficient is a.
We call this the "leading" coefficient because is the coefficient that most impact has on the equation's behavior.
In the case of the quadratic equation, we know that x^2 is always a positive number and is the part that grows faster.
Then if a is a positive number, a*x^2 will be positive, and because this is the part that grows faster, the arms of the parabola will open upwards.
If a is negative, then a*x^2 will be negative, and this will cause that the arms of the parabola open downwards
Then the sign of a defines the direction of the parabola.
And a also defines the width of the parabola.
If a is a really larger number, then
a*x^2 grows really fast
This means that in a small increase of x, we may see a large increase in y, so we will have a "thin" parabola.
On the other hand, if a is really small, a large increase of x will not cause a large increase on y, so we will see a wider parabola.
Then the coefficient a (or variable, depending on which thing are you changing) is the one that controls the parabola's direction and width.
Please help me out with this and explain if you can No links no stealing points
Answer:
y = 31,x= 148
Step-by-step explanation:
the explanation is in the image
that's all....have fun
On a fair number cube numbered 1 through 6, what is the likelihood of rolling a three on the first try?
Group of answer choices
certain
likely
impossible
unlikely
unlikely
Step-by-step explanation:
there is a 1/6 chance
What is the simple interest earned on a $4,350 investment for 5 years at a rate of 2%?
Answer:
$435
Step-by-step explanation:
I = Prt = ($4,350)(0.02)(5) = $435
Abcd is a parallelogram
Step-by-step explanation:
The shape of quadrilateral ABCD changes as the moving platform swings around, but its side lengths do not change. Both pairs of opposite sides are congruent, so ABCD is a parallelogram by the Parallelogram Opposite Sides Converse. By the definition of a parallelogram, — AB — DC .
a+7 = 10 what is the answeeeerrrrrrrrrrrrrrrrrr
Answer:
A=3 because 7+3=10
Step-by-step explanation:
Answer:
a=3
Step-by-step explanation:
Hope that helps, if you want the steps, just ask and ill put them in the comments :)
A square piece of cardboard has a perimeter of 32 inches. How long is each side?
Answer:
8 inches
Step-by-step explanation:
All the sides of a square are equal so to find the side you can divide the perimeter by 4.
32 / 4 = 8
Answer:
here you go
Step-by-step explanation:
An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
A. -2x^3+32x^2
B.-4x^3+64x^2
C.4x^3-64x^2+32x
D.-4X^3+64x^2-32x
E.4x^3-128x^2-1024x =volume = x(32-2x)^2
What is the slope of the line?
Answer:
-2/1
Step-by-step explanation:
Hope this helped!
Answer:
easy, the slope is -2/1.
Step-by-step explanation:
i found this out because you can see your y intercept is 2. you start at two then follow the line, and you go down two units (-2) and go right one unit. this equates to -2/1, which, is your slope. hope this helped!!
Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 for Medicare, and a $95 insurance premium. What is his monthly net pay?
Answer:
1658
Step-by-step explanation:
add them all up then subtract his salary per month
Answer:
Lucas monthly net pay is $1758
Step-by-step explanation:
Lucas works for a salary of $2,396 per month.
His deductions include $360 of federal income tax,
$148 for Social Security,
$35 for Medicare, and
a $95 insurance premium.
Now,
2396 - 360 - 148 - 35 - 95 = 1758
Thus, Lucas monthly net pay is $1758
-TheUnknownScientist
Mrs. Pace opened an account with a deposit of $3,500 at the end of 5 years , the account was $4,690
Answer:
she earned a total of 1190 in 5 years. I don't know if this helps.
Step-by-step explanation:
The rate of interest with the given parameters is 6.8%.
Given that, Principal =$3,500, time period =5 years and the amount =$4,690.
We need to find the rate of interest.
What is the rate of interest?The interest rate formula helps in calculating the amount of money to be repaid towards a loan taken and the interest over the investment on fixed deposits, mutual funds, etc. The interest rate formula also helps in calculating the interest on credit cards. The interest rate for a given amount on simple interest can be calculated by the following formula,
Interest Rate = (Simple Interest × 100)/(Principal × Time)
Now, SI=Amount-Principal=4690-3500=1,190
rate of interest=(1,190×100)/(3,500×5)=6.8%
Therefore, the rate of interest with the given parameters is 6.8%.
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a line that passes through (-7, 3 ) and (-6 ,- -1) ?
Answer:
Step-by-step explanation:
Hello : let A(-7,3) B(-6,-1)
the slope is : (YB - YA)/(XB -XA)
(-1-3)/(-6+7) = -4/1 =-4
an equation is : y=ax+b a is a slope
y = -4x +b
the line through point B (-6,-1) : -1 = (-4)(-6)+b
b = -25
the equation is : y =-4x-25
The equation of line passes through the points (-7, 3) and (-6, -1) will be;
⇒ y = - 4x - 25
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-7, 3) and (-6, -1).
Now,
Since, The equation of line passes through the points (-7, 3) and (-6, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 3) / (-6 - (-7))
m = - 4 / (-6 + 7)
m = - 4/1
m = - 4
Thus, The equation of line with slope - 4 is,
⇒ y - 3 = - 4 (x - (-7))
⇒ y - 3 = - 4 (x + 7)
⇒ y - 3 = - 4x - 28
⇒ y = - 4x - 28 + 3
⇒ y = - 4x - 25
Therefore, The equation of line passes through the points (-7, 3) and
(-6, -1) will be;
⇒ y = - 4x - 25
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I am confused. I believe it is 5(x^2+2)=45
Here is the problem: 5 times the square of a number and 2 is 45.
There are two jars. One jar has 2 orange marbles and 3 red marbles. The other jar has 1 blue marble and 4 green marbles. If Jeff randomly draws one marble from each jar, what is the probability that he will draw a red marble and a green marble?
Answer:
3/5
Step-by-step explanation:
because in one jar there are total 5 marbles. 2 orange and 3 red. so if he pick randomly then he will 3/5.
Select all the angles that would have a cosine ratio of -sr3/2.
A. 510°
B. -5pi/6
C. -11pi/6
D. 120°
E. 19pi/6
F. 390°
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27
Saul asks Jasmine to check his work. Saul coples the data in numerical order from least to greatest for Jasmine.
25, 30, 50, 50, 50, 50, 56, n., 250
What is the value of n that will make the IQR of the data set equal to 27
Answer:
n = 78
Step-by-step explanation:
IQR is the interquartile range of the data set.
So Saul had already arranged the data in order, that is the first step when calculating the interquartile range.
25, 30, 50, 50, 50, 50, 56, n., 250
Next, is to find the median so we could easily separate the data into quartiles.
The median of the data 25, 30, 50, 50, 50, 50, 56, n., 250 = 50
Then, arrange the data into the first quartile and the third quartile
first quartile = 25, 30, 50, 50
third quartile = 50, 56, n., 250
first quartile median = 30 + 50 = 80/2 = 40
third quartile = 56 + n /2
The interquartile range formula is the first quartile subtracted from the third quartile:
IQR = Q3 – Q1.
Since 27 is the interquartile range, n=
27 = (56 + n /2) - 40
Use 2 to multiply through to eliminate the denominator
54 = (56 + n) - 80
n = 78
What is the surface area of the triangular prism?
A.60 square feet
B.72 square feet
C.82 square feet
D.84 square feet
plsssssss help i need it.
Find the missing side.
Answer:
10
Step-by-step explanation:
Area of traingle:1/2
50=1/2.10.x
50=5x
50/5=5x/5
50/5=5x/5
x=50/5
x=10
A shipping company uses baggage tags with 3-letter city codes. The first and third letters of each code are always consonants and the middle letter is always a vowel (CVC). The English language uses 21 consonants and 5 vowels. How many different combinations of tag codes are possible?
Answer:
2205 combinationsExplanation:
21²×5 = 2205
The total number of combinations of tag codes is 2,205 tag codes
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 total number of combinations of tag codes be A
Now , the equation will be
The number of letters in the tag codes = 3 letters
The first letter is a consonant
The total number of ways of selecting a consonant = ²¹C₁
The second letter is a vowel
The total number of ways of selecting a vowel = ⁵C₁
The third letter is a consonant
The total number of ways of selecting a consonant = ²¹C₁
The total number of combinations of tag codes A = ²¹C₁ x ⁵C₁ x ²¹C₁
On simplifying the equation , we get
The total number of combinations of tag codes A = 21 x 5 x 21
The total number of combinations of tag codes A = 2,205 tag codes
Hence , the number of combinations is 2,205
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Question 1 Can you construct one, many, or no triangle(s) with side lengths of 3 inches, 4 inches, and 8 inches?
Answer: No triangles
Step-by-step explanation: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Which is why 3,4, and 8 do not make a triangle, hope this helped!!
please answer it will help a lot!
A company received cash sales of $15000. They also collected $43000 in receivables during the month. What is the journal entry for the collection of the receivables
Answer: Debit Cash account $43,000
Credit Accounts receivable $43,000
Step-by-step explanation:
Receivables are the debts that are owed to a particular firm by the customers for the goods or the services that have not been paid for by the customers.
The journal entry for the collection of the receivables in this case will be:
Debit Cash account $43,000
Credit Accounts receivable $43,000
(Being entries for receivables)
The mean of 19 students is 126cm.
Another student joins the group and the mean becomes 128cm.
What is the height of the new student?
Answer: 166 cm
Step-by-step explanation:
x / 19 = 126
* 19 * 19
x = 2394
(2394 + y) / 20 = 128
* 20 * 20
2394 + y = 2560
- 2394 - 2394
y = 166
PLEASE DO NUMBER 5 PLZ I REALLY NEED HELP NO BOTS NO BS
Answer:
a. -x, y b. x, y c. x, -y
Step-by-step explanation:
hope this helps:)
The first three terms of a geometric sequence are as follows.
81. 27,9
Find the next two terms of this sequence
Answer:
3 and 1
Step-by-step explanation:
the sequence is dividing each # by 2
A seamstress makes 2 cushions for a couch, a smaller cushion and a larger cushion. The cushions are similar rectangular prisms. The seamstress determines the surface area of each cushion and the volume of the smaller cushion. She wants to calculate the volume of the larger cushion in order to figure out how much stuffing she must buy.
The surface area of the smaller cushion is 972 in2 and its volume is 1604 in3. What is the volume, V, to the nearest cubic inch, of the larger cushion if it has a surface area of 2028 in2?
Who knows all the answers
Answer:
I can do 2-10 if that's alr
But for real, quick question for fifty points.
Answer:
8√3
Step-by-step explanation:
adj = 16√3 ÷ 2 = 8√3
Answer:
D)16
Step-by-step explanation
we are given a 30-60-90 triangle and the longer side of the triangle
remember the properties of 30-60-90 triangle
the hypotenuse is twice as much as the shorter legthe longer leg is the square root of 3 times shorter legas we are given the longer leg we'll use the second property
let the shorter leg be x
so our equation is
[tex]\displaystyle x\sqrt{3}=16\sqrt{3}[/tex]
divide both sides by √3:
[tex]\displaystyle \frac{x\sqrt{3}}{\sqrt{3}}=\frac{16\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\displaystyle x=16[/tex]
hence,
the length of the shorter leg is 16
There is a bag filled with 5 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
answer asap pls
Find the ratio equivalent to 24:4.
Step-by-step explanation:
6:1
divide both sides by 4
Answer:
6:1
Step-by-step explanation:
1. 24.4, i split(divide) into 2 and got=
12.2
2.split(divide) into 2 again
6.1
What’s the answer?!!!!!!
Answer:
Try Yes.....
.................
Answer:
no, because the short sides add up to be more than the 8