Answer:
[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]
Find the slope (rate of change) of each representation. Please explain how you got it.
Answer:
m = -3/2
Step-by-step explanation:
To find the slope of the representation, use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
I'll pick (-4, 9) and (-2, 6) in this instance.
[tex]m=\frac{9-6}{-4-(-2)}\\\\m=-\frac{3}{2}[/tex]
Therefore, the slope of the representation is -3/2.
Answer:
-3/2
Step-by-step explanation:
To find the slope, we can use the formula
m = ( y2-y1)/(x2-x1)
= ( -6 -9)/(6 - -4)
= (-6-9)/(6+4)
-15/10
-3/2
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
can someone please help me? this is confusing
Answer:
S=(-2, -9)
T=(-8, -9)
U=(-9, -5)
V=(-6, -5)
Step-by-step explanation:
rotating counter clockwise 90 degrees has a simple formula: (-y, x) simply take your ordered pair and rearrange it to match this formula.
ex. (3, 4) would become (-4, 3)
(-y, x) the negative symbol in front of the y means to switch the sign from either positive or negative to its opposite. since there is no symbol in front of the x you keep that numbers sign the same.
Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2
A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how many females are in the class?
Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students
Malia tried to prove that cos pheta = sin 90 degrees - pheta using the following diagram. her proof is not correct.
Answer:
Malia used the wrong sides in her ratio for sin (90-0)
Step-by-step explanation:
Got it right on Khan academy
Find the missing side. PLEASE HELP FAST !
Answer:
It is 28.5m. Hope this helps!! Have a good day..
1.
Which of the quadratic functions has the widest graph?
O y = 1/3x2
O y = -5/4x2
Answer:
y = -5/4x^2
Step-by-step explanation:
I'm assuming the 2 are the exponents. Make sure to use ^ to type exponents.
Green = 1/3x^2
Blue = -5/4x^2
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
please just (c)fog-¹
f(x) = 1/(1 - x)
g(x) = (x - 1)/x
The inverse functions f ⁻¹(x) and g ⁻¹(x), if they exist, are such that
f( f ⁻¹(x) ) = x
g( g ⁻¹(x) ) = x
So we have
f( f ⁻¹(x) ) = 1/(1 - f ⁻¹(x) ) = x
Solve for f ⁻¹(x) :
1 = (1 - f ⁻¹(x) ) x
1 - f ⁻¹(x) = 1/x
f ⁻¹(x) = 1 - 1/x
f ⁻¹(x) = (x - 1)/x
and so f ⁻¹(x) = g(x).
Similarly, you can solve for g ⁻¹(x) :
g( g ⁻¹(x) ) = (g ⁻¹(x) - 1) / g ⁻¹(x) = x
1 - 1/g ⁻¹(x) = x
1/g ⁻¹(x) = 1 - x
g ⁻¹(x) = 1/(1 - x)
So we know f(x) and g(x) are inverses of one another,
f ⁻¹(x) = g(x)
g ⁻¹(x) = f(x)
Then
(a) (f o g)(x) = x
(b) (g o f ⁻¹)(x) = g(g(x)) = (g(x) - 1)/g(x) = 1 - 1/g(x) = 1 - x/(x - 1) = 1/(1 - x)
(c) (f o g ⁻¹)(x) = f(f(x)) = 1/(1 - f(x) ) = 1/(1 - 1/(1 - x)) = 1/(x/(x - 1)) = (x - 1)/x
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
please help me answer this math question, it is really important
Answer:
3 three point baskets
9 two point baskets
4 one point baskets
Step-by-step explanation:
Since you cannot have a 1/3 or 2/3 of a three point basket, finding multiples of threes for the initial two point baskets is the easiest way to start.
Find an equation for the line with the given properties.
x-intercept = 2; y-intercept = -3. y =
Answer:
[tex]y=\displaystyle\frac{3}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
We're given:
⇒ x-intercept = 2
⇒ y-intercept = -3
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Given the x- and y-intercepts, we can rewrite them as points:
x-intercept = 2
⇒ (2,0)
y-intercept = -3
⇒ (0,-3)
Plug these points into the equation:
[tex]m=\displaystyle\frac{0-(-3)}{2-0}\\\\m=\displaystyle\frac{0+3}{2}\\\\m=\displaystyle\frac{3}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{3}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
2) Plug in the y-intercept (b)
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
We're given the y-intercept: -3. Plug this into [tex]y=\displaystyle\frac{3}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+(-3)\\\\y=\displaystyle\frac{3}{2}x-3[/tex]
I hope this helps!
What is
f(x)=(x-2)(x-6) in standard form
-4.326 + (-0.32) ÷ 0.4
Answer:
-5.126
Step-by-step explanation:
PEMDAS
-4.326 + (-0.32) ÷ 0.4
-0.32 ÷ 0.4
= -0.8
-4.326 + (-0.8)
= -4.326 - 0.8
= -5.126
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
11. PLEASE HELP ME
A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h= -16t2 + 48t + 6. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 1.5 s; 42 ft
B. 1.5 s; 114 ft
C. 3 s; 6 ft
D. 1.5 s; 54 ft
Answer:
A. 1.5 s; 42 ft
Step-by-step explanation:
1.5 sec and will reach a height of 42 feet
that is the vertex
for y=ax^2+bx+c
the x value of teh vertex is
the y value is found by subsituting the x value of the vertex for x
so
h=-16t^2+48t+6
a=-16
b=48
c=6
x value of vertex is
subsituting it for x we get
it reaches the max height of 42ft at 1.5 seconds
What is the expected number of tails when a fair coin is tossed 100 times?
Answer:
50 times
Step-by-step explanation:
Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.
can someone help me figure out how much my final exam is weighted?
in the grade book there are:
6 assignments for 10 points each
52 assignments for 20 points each (it’s not a typo i promise there was actually 52)
5 assignments for 30 points each
5 assignments for 40 points each
and 1 assignment for 60 points (aka the final exam)
my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a)
Answer:
About 4%
Step-by-step explanation:
6x10=60
52x20=1040
5x30=150
5x40=200
1x60=60
Total Points available:1510
Final Exam is 60 points
60/1510=0.0397
Solve the inequality.
|11 – xl < 20
[?] < x < [ ]
Answer:
-9<x<31
Step-by-step explanation:
|11 – xl < 20
There are two solutions, one positive and one negative, remember to flip the inequality for the negative
11-x < 20 and 11 -x > -20
Subtract 11 from each side
11-x-11 <20-11 and 11-x-11 >-20-11
-x <9 and -x > -31
Multiply each side by -1, remembering to flip the inequality
x>-9 and x< 31
-9<x<31
The times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean
time of 140 seconds and a standard deviation of 20 seconds. A random sample of four bags is selected and the
mean time to pop the bags is recorded. Which of the following describes the sampling distribution of all possible
samples of size four?
This question is solved using the central limit theorem, giving an answer of:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
[tex]n = 4, \sigma = 20[/tex], thus:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]
Thus, the correct answer is:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207
15 people are sharing $482 fairly between them. How many dollars should each person take?
Match the arc or central angle to the correct measure based on the figure below.
Answer:
a. 50 degrees
b. 130 degrees
c. 180 degrees
d. 230 degrees
a. 50°
b. 130°
c. 180°
d. 230°
what is geometry?geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚
Learn more about geometry here
brainly.com/question/25766008
#SPJ2
Solve the equation involving simple interest
Answer:
4%
Step-by-step explanation:
(8700 - 7500)/4 = 300
300/7500 = .04
x+y=4
x-2y=-5
If the first equation is multiplied by 2 and then the equations are added, the result is
=3
3 = 13
o3х=3 3
Answer:
3x = 3
Step-by-step explanation:
x + y = 4 × 2
= 2x + 2y = 8
2x + 2y = 8 + x - 2y = -5
3x = 3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
To collect data from a large group, take a _____________.
A. random sample
B. poll using a clip board
C. telephone call
D. mailed survey
Answer:
D
Step-by-step explanation:
Survey is the easiest, best, and fastest way o collect data.
(especially from if it's large)
I hope this helped!!Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form
In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.
Slope-intercept formula:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]
Point (0,0):
This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:
[tex]y = mx[/tex]
Slope:
When we have two points, the slope is given by the change in y divided by the change in x.
In this question, the two points are (0,0) and (-8,8).
Change in x: -8 - 0 = -8
Change in y: 8 - 0 = 8
Slope:
[tex]m = \frac{-8}{8} = -1[/tex]
Thus, the equation of the line, in slope-intercept formula, is:
[tex]y = -x[/tex]
For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520
The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:
1) Determine the Slope of the line by the Slope Equation for Secant Lines.
2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.
3) Write the resulting Equation of the Line.
Step 1:
The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:
[tex]m = \frac{8-0}{-8-0}[/tex]
[tex]m = -1[/tex]
Step 2:
The equation of the line is Slope-Intercept Form is now represented:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - Intercept.
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:
[tex]0 = -1\cdot (0) + b[/tex]
[tex]b = 0[/tex]
Step 3:
And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
Related question: https://brainly.com/question/18894159
6.17 greater or less 61 87/100
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
What is the perimeter of the right triangle with legs (2x + 1) feet and (4x - 4) feet and hypotenuse (4x - 1) feet? Give your answer in terms of x in the simplest form.
Answer:
10x-4 feet
Step-by-step explanation:
The perimeter is the amount of the sides together so add the three sides together
2x+1+4x-4+4x-1
Combine like terms
10x-4
(You can also factor out 2 but that would not be simplest --> 2(5x-2))
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276