-4
-2
4
-2-
0
3
On which interval are both functions increasing?
2
-8
p
0
-X
-2
g(x) = -x - 3| +4
(,0)
Answers
Answer: [tex](3, \infty)[/tex]
Step-by-step explanation:
q(x) is increasing for [tex]x > 3[/tex].
p(x) is increasing for [tex]x \geq -2[/tex].
So, both functions are increasing for [tex](3, \infty)[/tex].
Related Questions
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.
Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.
Answers
Answer:
The answer is "1110, 20.4, and 31.408"
Step-by-step explanation:
For point a:
Given:
[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]
Calculating the SAT score:
[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]
For point b:
Given:
[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]
Calculating the equivalent ACT score:
[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]
For point c:
[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]
Calculating equivalent ACT score:
[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]
Jenee has a package of 30 cards. There are 5 orange cards
and 25 yellow cards.
If she randomly picks 6 cards, what is the best prediction
for how many cards should be orange?
Answers
Answer:
1/2 is the best prediction for the number of orange cards that Jenee could get
Step-by-step explanation:
Hope this helps :D
If it does help could I get brainliest?
When a system of linear equations has no solution the graph will
a - have parallel lines
b- be the same line
c- have intersecting lines
Answers
Answer:
A
Step-by-step explanation:
there is no intersection which means no solution...i dont knwo how to explain sorry
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor
of 3, what is the equation of the new function?
O A. g(x) = x²
O B. g(x) = (3x)2
C. g(x) = 3x2
O D. g(x) = (3x)2
Answers
Answer:
g(x)=(1/3x)² .................
Can the triangles be proven similar by AA?
Question options:
A)
No, similar triangles cannot contain a pair of parallel lines.
B)
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
C)
Yes, because || .
D)
No, the triangles contain no angles marked congruent.
Answers
Answer:
No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
Step-by-step explanation:
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
What is similarity?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Both triangles are similar as,
∠QUR ≅ ∠TUS (vertical angles)
∠R ≅ ∠S (alternate interior angles).
So, By AA similarity criteria triangles are similar.
Learn more about similarity here:
https://brainly.com/question/17170212
#SPJ5
Multiply. Write your answer in simplest form. 1/9 x 3/10
Answers
Answer:
1/30
Step-by-step explanation:
When you multiply fractions, you just muliply across,
1*3= 3
9*10= 90
you now have 3/90 but you have to simplify, we know 3 goes into 3 and it also goes into 90 equally
3/3= 1
90/3= 30
So your answer is 1/30!!
I hope this helps!!!!!!!!!!!
if x = 2 and y=1 then prove that (x-y)²=x²-2xy+y²
Answers
Answer\Step-by-step explanation:
0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2
⟹ 2xy≤x^2+y^2
⟹ xy≤ x2+y2\2
⟹ xy≤ x^2+y^2
since the clearly nonnegative real x^2+y^2
clearly satisfies x^2+y^2\2 ≤x^2+y^2.
The proof of the quadratic equation (x-y)²=x²-2xy+y² is given.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
Quadratic equation
(x-y)²=x²-2xy+y²
To prove the equation:
We substitute the value and see if LHS = RHS.
In the LHS,
LHS = (x-y)²
LHS = (2-1)²
LHS = 1
In the RHS,
RHS = x²-2xy+y²
RHS = 4 - 4 + 1
RHS = 1
LHS = RHS
Therefore, the theorem (x-y)²=x²-2xy+y² is proved.
To learn more about the quadratic equation;
https://brainly.com/question/17177510
#SPJ2
A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?
Answers
Answer:
12
Step-by-step explanation:
4 time 3 =12
todos los numeros naturales son enteros
Answers
Answer:
si, todos los números naturales son enteros
5th grade math. Correct answer will be marked brainliest.
Answers
Calcula el área de los rombos.
Answers
Answer:
xbxbkzkdkdjd
Step-by-step explanation:
bz va yJnzz
A study is done by a community group in two neighboring colleges to determine which college graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level.
A. Is this a test of two means or two proportions? Are the populations dependent or independent?
B. Are the populations' standard deviations known or not?
C. Which distribution is to be used?
D. What is random variable?
E. Hypothesis
F. Test is two tailed or one tail
G. Test value=_____.
H. Use P-value method) to reach to the conclusion.
Answers
Answer:
A) It is a test of two proportions and the populations are independent of each other
B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1
C) The distribution to be used is 1 distribution
D) The Random variable is the size of the community group
E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2
F) Test is one tailed
G) Test Value > significance level
F) when; P value > significance level ( 0.01 ) we do accept Null hypothesis
when ; P value < significance level ( 0.01 ) we reject Null hypothesis
Step-by-step explanation:
College A :
sample size = 11
x ( mean ) value = 4
std = 1.5
College B :
sample size = 9
x ( mean value ) = 3.5
std = 1
A) It is a test of two proportions and the populations are independent of each other
B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1
C) The distribution to be used is 1 distribution
D) The Random variable is the size of the community group
E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2
F) Test is one tailed
G) Test Value > significance level
F) when; P value > significance level ( 0.01 ) we do accept Null hypothesis
when ; P value < significance level ( 0.01 ) we reject Null hypothesis
Drag steps into order to correctly solve the equation x−27=62 for x.
Answers
Answer:
x - 27 + 27 = 62 + 27
x - 0 = 89
(annex rule)
x = 89
Step-by-step explanation:
please mark brainlist
please help with my math homework
Answers
Answer:
sorry for that
Step-by-step explanation:
image is so unclear can't even read
Elena had $50 in the bank on Monday. She had $56 on Tuesday. What was the percent of increase from Monday to Tuesday?
A.100 fish
B.40 fish
C.60 fish
D.80 fish
Answers
Answer:
c
Step-by-step explanation:
Help pls asap I really need help this is confusing
Answers
A circular plate has circumference 22 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answers
Answer:
38.5 in squared
Step-by-step explanation:
50% of 25% of a number x is
A- one eighth of X
B- half of X
C- one fourth of X
D- three fourth of X
Answers
Answer:
The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.
x^2 and -x^2 for x =-3
Answers
Answer:
9 and -9
Step-by-step explanation:
x^2:
all you have to do is (-3)^2 = -3 * -3 = 9
-x^2:
this would be -(-3)^2
the order of operations says to do exponents first, so you would have:
-(9) or -9
Solve 12 - 4x = 44. Find the value of X
Answers
Answer:
x = -8
Step-by-step explanation:
We have the expression 12 - 4x = 44 and are asked to find the value of x.
To solve this, we need to isolate x, or get it by itself.
12 - 4x = 44
Subtract 12 from both sides :
-4x = 32
Divide -4 from both sides :
x = -8
x = -8
step by step
12 - 4x = 44
-4x = 44 - 12
-4x = 32
x = -8
(b)
In how many months will Rs 4800 amount to Rs 5760 at 2 paisa per rupee per
month?
Answers
Answer:
This amount will be reached in 1 year and 2 months, that is, in 14 months.
Step-by-step explanation:
Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).
Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:
4800 x 1.02 x X = 5760
4896 x X = 5760
X = 5760/4896
X = 1.17
Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:
1 = 12
0.17 = X
0.17 x 12 = X
2 = X
Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.
What is the product of (2x-4)^2
Answers
Answer:
( 4x^2 -16x +16)
Step-by-step explanation:
The rule is the
the first term squared + (the first term * second term * 2) + second term^2
Why is it reasonable to use the same units to describe circles and measure of angles?
Answers
Answer:
The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.
Explanation:
The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)
What is the y-intercept of the line?
Answers
Answer:
y=1/2x+2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
y intercept is 2
and slope is rise /run
taking points (0,2) and (2,3)
we get slope= 3-2/2-0=1/2
we know the eqaution is y=mx+b where m is the slope and b the y intercept
so y=1/2x+2 which is A/ the first one
if my answer helps please mark as brainliest
Write an equation of the line in point-slope form that passes through the given points.
(1,5) and (-5,4)
Answers
Answer:
y-5=1/6(x-1)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-5-1)=-1/-6=1/6
slope is 1/6
y-y1=m(x-x1)
y-5=1/6(x-1)
What is the growth?
What is figure 0?
Y=( )X+( )
Can someone help me too those answers I have no clue
Answers
Answer:
Figure 0 = 67 Square Units
Step-by-step explanation:
Its correct, I took the test!
A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of class without a way to locate the student. A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
Required:
What would be a 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators?
Answers
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Which expression is equivalent to 7m + 5 + 6 + 3m?
A. 13m + 8
B. 10m + 11
C. 4m + 11
D. 4m + 8
PLEASE HELP ASAP
Answers
Answer:
B.10m + 11
....................
First, rearrange the equation so that it’s easier to simplify it. This will give you
7m+3m+5+6
7m+3m is 10m and 5+6 is 11
Therefore, the answer is B) 10m+11.
The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?
Answers
Answer:
125 cubic cm
Step-by-step explanation:
Length^2 = 25 so each side length is 5cm
5^3 = 125 cubic cm
What is 288/-32 in its standard form
Answers
Answer:
[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]
Answer:
the simplest form of 288/-32 is 91.
Step-by-step explanation:
hope this helps sorry if im wrong