Answer:
x^2 + x -12
Step-by-step explanation:
Here, we want to get the quadratic polynomial given its roots
Mathematically, we have it that;
x = 3 and x = -4
We can have that re-written before equating to zero as;
x-3 and x + 4
We can then proceed to multiply these two binomials
(x-3)(x + 4)
= x(x+ 4) -3(x + 4)
= x^2 + 4x -3x -12
= x^2 + x - 12
Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.
A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.
How does the word count of an essay relate to its score in the contest?
Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question
Answer:
The word count tend to decrease as the score decreases
Step-by-step explanation:
The 3-row table is presented as follows;
[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]
The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)
Therefore, the Word Count decreases as the Essay Score decreases.
Help what is x
When x^5 is 225
Answer:
Solution given:
x^5=225
we have
x=[tex] \sqrt[5]{225} [/tex]
x=2.9541
Hello!
[tex] \bf {x}^{5} = 225[/tex]
Extract the radical on both sides of the equation.[tex] \bf x = \sqrt[5]{225} [/tex]
[tex] \bf x ≈2.95418[/tex]
Answer: x ≈ 2,95418
Good luck! :)
Find the slope of the line that passes through (2, 18) and (9, 9).
Answer:
m=-9/7
Step-by-step explanation:
Point Q is located at (-4, 6). Point R is located at (8, 6).
What is the distance from point Q to point R?
Step-by-step explanation:
Hi there!
Given;
Point Q is located at (-4, 6). Point R is located at (8, 6).
Note: Use distance formula.
Now;
[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Keep all values;
[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]
Simplify;
[tex](d) = \sqrt{( {12)}^{2} } [/tex]
Therefore, the distance is 12 units.
Hope it helps!
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
The left side
11
does not equal to the right side
4
, which means that the given statement is false.
False
In the number 9663 which places contain digits where one dogit is 10 times as great as the other?
Answer: Hundreds and tens place values (the two copies of '6')
Explanation:
We're looking for where the digits are the same, which would be those two copies of '6'
The first 6 on the left is in the hundreds place. It represents 600
The other 6 is in the tens place, and it represents 60
The jump from 60 to 600 is "times 10".
I need the answer ASAP
1. Add Area (Split the shape up to two or more known
shapes first)
12.5 ft
11.6 ft
19.2 ft
16.7 ft
Answer:
Step-by-step explanation:
The shape cam be split into a triangle and a trapezoid
✔️Area of the trapezoid = ½(a + b)h
Where,
a = 12.5 ft
b = 16.7 ft
h = 11.6 ft
Plug in the values
Area of the trapezoid = ½(12.5 + 16.7)*11.6
Area of trapezoid = 169.36 ft²
✔️Area of the triangle = ½*b*h
b = 16.7 ft
h = 19.2 - 11.6 = 7.6 ft
Area of the triangle = ½*16.7*7.6
= 63.46 ft²
✔️Area of the shape = 169.36 + 63.46
= 232.82 ft²
If n equals 5 and b equals 4 what is n + b * 5
Answer:
25Step-by-step explanation:
Given,
n = 5
and, b = 4
Equation:
n + b × 5
= 5 + 4 × 5
= 5 + 20
= 25 (Ans)
A girl who normally gets A's didn't do the first assignment given on the first day of school and now has 0%. How many 95% grades will she need to achieve an average of 90% overall? The points for each assignment are based on what she scores.
Answer:
19 of 95% grades
Step-by-step explanation:
90= (0+95(x-1))/x
90x=0+95(x-1)
90x=95(x-1)
90x=95x-95
90x-95x=-95
-5x=-95
x=-95/-5
x=19
Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.
Answer:
Step-by-step explanation:
This is the problem we need to solve:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.
If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:
P(z < .43) = .66640 and P(z < .44) = .67003
We'll use z = .44
[tex].44=\frac{11-10}{\sigma}[/tex] and
[tex].44=\frac{1}{\sigma}[/tex] and
[tex]\sigma=\frac{1}{.44}[/tex] so
σ = 2.27 (check it; it works!)
What is the leading coefficient of the polynomial: 5-3x+4x^2
Answer:
4
Step-by-step explanation:
5-3x+4x^2
Write the terms from highest power to smallest power
4x^2 -3x +5
The leading coefficient is the term in front of the highest power
4
Answer:
4
Step-by-step explanation:
The first step here is to rearrange the terms of this polynomial in descending order: x^2, then x, then x^0 (nothing that x^0 = 1):
4x^2 - 3x + 5
The "leading coefficient of the polynomial) is the coefficient of the highest x power, which here is x^2: 4.
14. PLEASE HELP ME
Which of the quadratic functions has the narrowest graph?
A. y= 1/8x2
B. y= 1/6x2
C. y= -x2
D. y= 2x2
Answer:
D. y= 2x2
Step-by-step explanation:
y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1
The only function that fits that description is
y = 2x^2
B <<< answer.
Given: We are given equation of parabola ans to choose narrowest graph.
Parabola form narrowest and widest.
Larger value of a most narrowest graph.
Smaller value of a most widest graph.
Now, we will see the coefficient of x²
Now, we arrange the value of a in descending order.
2 is largest value of these.
Hence, The narrowest graph is
there are 2 more pictures i have to upload but it won't let me
0.9 x 100=
13.79 x 100=
29.894 x 100=
Answer:
multiplying by 100 "shifts" decimal point to the right by 2
90
1379
2989.4
Step-by-step explanation:
Answer:
0.9 x 100=90
13.79 x 100=1379
29.894 x 100=2989.4
Step-by-step explanation:
HELP ASAP PLEASEEEEEEEEE
The graph of the function f(x) = (x + 2)(x - 4) is shown. Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < -2
all real values of x where -2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0
Answer:
C. All real values of x where 1 < x < 4
Step-by-step explanation:
The function is negative below the zeros which would be from -2 to 4.
It would be increasing from the vertex which is 0 to 4.
Therefore, C makes the most sense out of all the choices.
Answer:
C was correct
Step-by-step explanation:
Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?
Answer:
4 :45 pm
Step-by-step explanation:
2 : 20 + 17 minutes = 2:37
2:37 + 1hr 1 minute = 3 : 38
3 : 38 + 1 hr 7 = 4 :45 pm
Please help me solve this problem fast!!
Answer:
12.53
Step-by-step explanation:
√(11²+(10-4)²)
= √157
= 12.53 (rounded to two decimal places)
Answered by GAUTHMATH
if A ={1,2,3,4} and B={3,4,5,6} find A-B.
Answer: {1,2} is the answer.
Step-by-step explanation:
A-B
{1,2,3,4}-{3,4,5,6)
= {1,2}
If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats
Answer:
d + 6
Step-by-step explanation:
Given that :
Number of dogs = d
The sum of the number of the number of dogs and 6 cats is :
This is a straightforward question :
We take the sum of d and 6
Hence, we have
d + 6
What is the slope of a line that is perpendicular to the line whose equation is
y= 4x – 3?
Answer:
-1/ 4
Step-by-step explanation:
y = 4x-3 has a slope of 4 because the equation is in slope intercept form
y = mx+b where the slope is m
Perpendicular lines have slopes that are negative reciprocals
-1/ 4 is the slope of a line that is perpendicular to y = 4x-3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME THE STEP BY STEP EXPLANATION!!
The data value that occurs most often in a data set is the ____________.
A. mode
B. median
C. mean
D. range
mode is the data that occurs most often in a data
Please answer ASAP!!! A ski store has 60 different boots available, 30 different pairs of skis, and 40 different hats.
If a customer were to only buy ONE item, how many different ways can a customer purchase an item from the store?
In this question, the client will buy one item, which is composed by a boot, a pair of skis and a hat. Since the items are independent, the fundamental counting principle can be used.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
60 boots, 30 pairs of skis, 40 hats. So
60*30*40 = 72,000
The customer can purchase an item in 72,000 ways from the store.
For another example of the fundamental counting principle, you can check https://brainly.com/question/24067651
Which of the following expressions is equal to -12 ?
a.-15 - 3
b. -3 - (-9)
c. 5 - 17
d. -6 - (-6)
Answer:
c. 5 - 17
Step-by-step explanation:
a. -15 - 3 = -18
b. -3 - (-9) = 6
c. 5 - 17 = -12
d. -6 - (-6) = 0
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Option A. \boxed{\bf \downarrow}}[/tex]
[tex]\huge\textsf{- 15 - 3}\\\huge\textsf{= -15 + (-3)}\\\huge\textsf{= \bf -18}\\\boxed{\huge\textsf{\bf -18 \boxed{\neq} -12}}\\\bullet\huge\text{ \bf Option A. cannot be your result.}[/tex]
[tex]\huge\text{Option B. }\boxed{\downarrow}[/tex]
[tex]\huge\textsf{-3 - (-9)}\\\huge\textsf{= -3 + 9}\\\huge\textsf{= \bf 6}\\\boxed{\huge\textsf{\bf 6 \boxed{\neq} -12}}\\\bullet\huge\text{\bf Option B. cannot be your result.}[/tex]
[tex]\huge\text{Option C. \boxed{\downarrow}}[/tex]
[tex]\huge\textsf{5 - 17}\\\huge\textsf{= 5 + (-17)}\\\huge\textsf{= \bf -12}\\\boxed{\bf -12 \ \boxed{=} -12}\\\huge\text{\bf Option C. could be the result.}[/tex]
[tex]\huge\text{Option D. \boxed{\downarrow}}[/tex]
[tex]\huge\textsf{-6 - (-6)}\\\huge\textsf{= -6 + 6}\\\huge\textsf{= \bf 0}\\\boxed{\bf 0 \ \boxed{\neq} -12}\\\huge\text{\bf Option D. cannot be your result.}[/tex]
[tex]\boxed{\huge\textsf{Answer: \bf Option C. \underline{\underline{5 - 17}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge \boxed{\frak {Amphitrite1040:)}}}[/tex]
GIVING BRAINLY TO CORRECT ANSWER!!
Answer:
7/0
Step-by-step explanation:
7/0 = 7
A rational number is written in the form of p/q, where q is not equal to zero. Therefore it is not a rational number.
I hope this answer helps you out! Brainliest would be appreciated :)Answer:
7/0
Step-by-step explanation:
a irrational can not be written as a fraction
What is the length of the dotted line in the diagram below? Round to the nearest tenth. *Will mark brainliest*
Answer:
The dotted line is 4.9
Step-by-step explanation:
The lower triangle is a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse
2^2 + 4^2 = c^2
4+16 = c^2
20 =c^2
Taking the square root of each side
sqrt(20) = c
The upper rectangle has a length of sqrt(20) and a height of 2
We can use the Pythagorean theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse to find the diagonal
2^2 + (sqrt(20))^2 = c^2
4+20 = c^2
24 = c^2
Taking the square root of each side
sqrt(24) = c
4.898979486=c
Rounding to the nearest tenth
4.9 =c
please help!! will give brainliest
Answer:
In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.
So there are a total of 11 animals (5+6).
The first animal can be placed in 11 places.
The second animal can be placed in 10 places.
The third animal can be placed in 9 places.
.
.
.
The eleventh animal can be placed in 1 place. (the last spot, whatever that is)
So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.
Let me know if this helps!
(3×sqrt(3)-2×sqrt(2))÷(sqrt(3)-sqrt(2))
Answer:
5+√6
Step-by-step explanation:
(3√3 -2√2) ÷ (√3-√2 )
= (3√3 -2√2) (√3+√2) ÷ (√3 -2√2) (√3+√2)
= (9+3√3√2-2√2√3-4) ÷ ((√3)^2 -(√2)^2)
=(9+3√6-2√6-4) ÷ (3-2)
= (5+√6)
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x + y = 0, x = -0, y = 0
0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .
Answer:
3/4 + 0 = 3/4 Additive Neutral Property
Step-by-step explanation:
Which is the graph of y = [x]-2?
PLEASE HELP TIMED PLEASE
Answer:
3rd graph
Step-by-step explanation:
