Answer:
{–3, 2, 5}
Step-by-step explanation:
The range refers to the values for the axis i.e to be dependent when there is a defined function
And the range is the combination of the integer i.e to be compounded by these three values
Data provided in the question
-3 , x ≤ 0
2, 0 < x ≤ 4
5, 4 < x ≤ 10
Based on the above information, the range of g(x) is {-3,2,5}
Hence, the correct option is c.
Answer:
C
Step-by-step explanation:
HELPPPP,Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)? AB = 2 AB = 68 AB = 4 None of these choices are correct
===============================================
Explanation:
Use the distance formula to get this answer. The idea is you subtract the x coordinates together, and do the same for the y coordinates as well. Square each result and add up those squares. The last step of the formula is to apply the square root to get the distance from A to B, which is also the length of segment AB.
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-3-5)^2+(-2-(-4))^2}\\\\d = \sqrt{(-3-5)^2+(-2+4)^2}\\\\d = \sqrt{(-8)^2+(2)^2}\\\\d = \sqrt{64+4}\\\\d = \sqrt{68}\\\\[/tex]
Therefore, [tex]AB = \sqrt{68}[/tex]
PLSSSSS HELPPPPP Subtract 6/7-3/x
Answer:
[tex]\huge\boxed{\dfrac{6}{7}-\dfrac{3}{x}=\dfrac{6x-21}{7x}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6}{7}-\dfrac{3}{x}=\dfrac{(6)(x)}{(7)(x)}-\dfrac{(7)(3)}{(7)(x)}=\dfrac{6x}{7x}-\dfrac{21}{7x}=\dfrac{6x-21}{7x}[/tex]
James determined that these two expressions were equivalent expressions using the values of y=4 and yu 6. Which
statements are true? Check all that apply
7x+4 and 3x+5+4x-1
When - 2. both expressions have a value of 18.
The expressions are only equivalent for X-4 and X- 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When - 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if X-
Answer with explanation:
Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.
The two expressions are
1. 7 x +4
2. 3 x +5 +4 x =1
Adding and subtracting Variables and constants
→7 x +5=1
→7 x +5-1
→7 x +4
→ When x=2,
7 x + 4 =7×2+4
=14 +4
=18
So, Both the expression has same value =18.
→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.
Correct options among the given statement about the expressions are:
1.When x = 2, both expressions have a value of 18.
2.The expressions have equivalent values for any value of x.
3.The expressions have equivalent values if x = 8.
please help Evaluate 5 - (3/2) to the 3 power A.) 13/8 B.) 9.5 C.) 18.5 D.) 2197/8
Answer: THE ANSWER IS A
Step-by-step explanation:
5-(3/2)^3
=13/8
im a math god
find the value of a and explain
Answer:
D
Step-by-step explanation:
The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.
Answer:
The answer is D.
p=E/x+Y express x in terms of p,e and y
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
Which of the following represents the factorization of the polynomial below?
2x2 +11x +5
Answer:
(2x + 1)(x + 5)
Step-by-step explanation:
2x² + 11x + 5 =
= 2x² + 10x + x + 5
= 2x(x + 5) + (x + 5)
= (2x + 1)(x + 5)
Can someone plz help me? If you answer you are a real life savor
Answer:
x = 2; y = 6.
Step-by-step explanation:
If the two triangles will be congruent by the HL Theorem, the hypotenuses and side lengths have to be equal. That means that...
x + 3 = y - 1
2x - 1 = y - 3
x + 3 = y - 1
y - 1 = x + 3
y = x + 4
2x - 1 = y - 3
y - 3 = 2x - 1
y = 2x + 2
2x + 2 = x + 4
x = 2
y = 2x + 2
y = 2 * 2 + 2
y = 4 + 2
y = 6
y = x + 4
y = 2 + 4
y = 6
Hope this helps!
Evaluate 7m + 2n - 8p/n for m = –4, n = 2, and p = 1.5.
Answer:
-30
Step-by-step explanation:
7m + 2n - 8p/n
Let m = –4, n = 2, and p = 1.5
7(-4) + 2 ( 2) -8*(1.5)/2
-28 + 4 - 4*1.5
-28+ 4 - 6
-30
Answer:
-30
Step-by-step explanation:
Hey there!
Well given,
m = -4
n = 2
p = 1.5
We need to plug those number into,
7m + 2n - 8p/n
7(-4) + 2(2) - 8(1.5)/(2)
-28 + 4 - 12/2
-28 + 4 - 6
-24 - 6
-30
Hope this helps :)
4) The diameter of a circle measures 16 mm. What is the
circumference of the circle? use 3.14 for ł, and do not
round your answer.(be sure to include the correct unit in
your answer)
16mm
Answer: 50.24 mm
Step-by-step explanation:
Circumference= 2πr
C = 2 x 3.14 x 8mm
C = 50.24 mm
Answer:
Step-by-step explanation:
d=16mm
therefore r=8mm
therefore circumference = 2pi r = 2* 3.14*8
=50.42cm
hope it helps
A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 2? 3? 5? 10? B. Describe the pattern in part (a).
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
[tex]A_{1}[/tex] = 2πrh
If multiply both dimensions by a factor of 2:
[tex]A_{2}[/tex] = 2.π.2r.2h
[tex]A_{2}[/tex] = 8πrh
Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :
[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
By factor 3:
[tex]A_{3} = 2.\pi.3r.3h[/tex]
[tex]A_{3} = 18.\pi.r.h[/tex]
Comparing areas:
[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9
Multiplying by 3, gives an area 9 times bigger.
By factor 5:
[tex]A_{5} = 2.\pi.5r.5h[/tex]
[tex]A_{5} = 50.\pi.r.h[/tex]
Comparing:
[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.
Mary earns $28,000 a year. One week she grossed $658.00. She had sold $1673.19 worth of merchandise. what is the rate of her commission?
Answer:
Her commission rate is 7.44%
Step-by-step explanation:
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.00
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
In the lab, Charmaine has two solutions that contain alcohol and is mixing them with each other. Solution A is 12% alcohol and Solution B is 40% alcohol. She uses 800 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 32% alcohol solution
Answer: Charmaine wil use 2000 mL of solution B
Step-by-step explanation: Suppose that volume of solution B for the mixture is J.
Volume of solution A used is [tex]V_{A}[/tex] = 0.12*800
Volume of solution B used is [tex]V_{B}[/tex] = 0.4*J
Volume Total is V = 800 + J
0.12*800 + 0.4*J = 0.32(800 + J)
96 + 0.4J = 256 + 0.32J
0.08J = 160
J = 2000
Volume of solution B is 2000mL or 2L.
Eight of your friends came to your house to watch a movie. Three-fourths of your friends stayed overnight. How many friends stayed?
Answer:
6 friends
Step-by-step explanation:
8 friends came to watch the movie.
3/4 of them stayed overnight.
The number of people that stayed overnight will be the product of 3/4 by 8:
3/4 * 8 = 24 / 4 = 6
6 friends stayed overnight.
Answer:
6 friends because the three fourths are gone
Step-by-step explanation:
Long Division of x^3-3x^2-10x+24 ÷x-2
Answer:
see explanation
Step-by-step explanation:
x - 2 | x² - x - 12
------------------------
x³ - 3x² - 10x + 24
x³ - 2x² ↓ ↓ ← subtract terms from terms above
--------------------------
- x² - 10x + 24
- x² + 2x ↓ ← subtract terms from terms above
----------------------------
- 12x + 24
- 12x + 24 ← subtract terms from above terms
----------------------------
0 ← remainder
Since remainder is zero then (x - 2) is a factor
and quotient = x² - x - 12 , thus
x³ - 3x² - 10x + 24 = (x - 2)(x² - x - 12) = (x - 2)(x - 4)(x + 3)
Plz help!
i Cant answer it
Answer: (4,90)
Step-by-step explanation:
In a coordinate pair, the first number represents the x-axis and the second represents the y-axis.
Hope it helps <3
Answer:
C (4,90)
Step-by-step explanation:
In the graph, the point P is on 4 along the x-axis,
and 90 on the y-axis,
therefore making it's coordinates (4, 90).
Hope this helped! :)
ratio
simplify
4x:9=7:3
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a .
Answer:
B. The given value is a for the because the data collected represent a . statistic year sample
Step-by-step explanation:
A population is the total of similar items that are of interest to the researcher.
Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.
A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.
In this scenario the population is the whole year, and the sample is 41 days.
So the mean derived from the sample is statistic of sample from the year.
This can be used to make deductions about the whole year.
Hi! Can I have some help on this math question...
Question C please!
Please explain it as I am very confused!
15 Points
- Thanks!
Answer:
β = 22.5°
Step-by-step explanation:
In a triangle, the sum of interior angles must add up to 180°.
Since the angle marked with corners is equal to 90°, we can write an equation to solve for β.
3β + β + 90° = 180°
4β = 180° - 90°
4β = 90°
β = 90° / 4
β = 22.5°
Answer:
T is equal to R
Hope this helps.....
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation:
Given the geometric sequence where a1 = −1 and the common ratio is 7, what is the domain for n? A. All integers B. All integers where n ≥ −1 C. All integers where n ≥ 0 D. All integers where n ≥ 1
Answer:
D
Step-by-step explanation:
Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].
It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].
In other words, as the common ratio is 7 the sequence is defined by
[tex]a_1=-1[/tex]
[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]
For instance, we can estimate the first terms:
[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]
And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:
[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]
Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
If events A and B are independent, what must be true?
P(A|B) = P(B)
P(A|B) = P(A)
P(A) = P(B)
P(A|B) = P(B|A)
Answer:
P(A|B) = P(A)
Step-by-step explanation:
If events A and B are independent, then we have:
P(A) x P(B) = P(A⋂B)
As the conditional probability formula states:
P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)
=> P(A) x P(B) = P(A|B) x P(B) = P(B|A) x P(A)
or
P(A) = P(A|B)
or
P(B) = P(B|A)
Answer:
B
Step-by-step explanation:
I promise I will mark as brainiest
There are 18 rectangles inside the playing field. And if you include the fence around the field, that makes 19.
Solve the inequality
-6w-16>44
[tex]-6w-16>44[/tex]
Add both sides by 16
[tex]-6w>60[/tex]
Divide both sides by -6 (Note: Since we're dividing by a negative number, the inequality symbol needs to be reversed)
[tex]w<-\dfrac{60}{6}[/tex]
[tex]w<10[/tex]
This is the solution to the inequality. Let me know if you need any clarifications, thanks!
Someone please help! Thank you
Answer:
110
Step-by-step explanation:
the sum of straight angle is 180
the sum of angle of triangle=180
angle E=180-120=60
triangle BDE: <B=180-60-90=30
<B in triangle ACB=180-(130+30)=20)
in traingle ACB: <A = 180-(90+20)=70
angle x=180-70=110 degrees
Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:
[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to
[tex]-11=a(2)^2-3[/tex] and a bit more to
[tex]-11=4a-3[/tex]. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
[tex]y=-2(x-2)^2-3[/tex]
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer.
What must be true about the point ( a, b)?
A) It is flipped across the
y- axis from the original point
B) it is flipped across the
x-axis from the original point
C) it is in the quadrant diagonal to the original point
D) it is in the same quadrant as the original point, but in a different location
Answer:
I think it's x-axis.
Step-by-step explanation:
but me could me wrong
Answer:
The correct answer to this question would be C.
Step-by-step explanation:
took the test. Hope this helps!
HELP ME PLEASE Given that the universal set is all real numbers, write the complement of set A. Set A: {Irrational numbers}
Answer: The complement is Q, the set of the rational numbers.
Step-by-step explanation:
Ok, here we can use the fact that the set of all the real numbers is equal to the union of the set of the rational numbers and the set of the irrational numbers. (Remember that Q, the rational numbers, also does include the set of the integer numbers))
Then, if the universal set is R, we have that the universal set is:
R = Q + I
Where Q = set of rational numbers and I = set of irrational numbers.
Then, the complement of the set A = I = irrational numbers, is equal to:
R - I = Q + I - I = Q
Then the set of the rational numbers is the complement of the set A.
What is the simplified form of 5x-9x
Answer:
-4x
Step-by-step explanation:
5x - 9x
Factor out x
x( 5-9)
x ( -4)
-4x
which of the following product? assume y>0 3 square root(y^2 square root 4+ square root 8y)
Answer:
[tex]6y^2\sqrt{10}+12\sqrt{5y}[/tex]
Step-by-step explanation:
Use the distributive property and the rules for forming and simplifying square roots.
(√a)(√b) = √(ab)
√(a²b) = a√b
__
[tex]3\sqrt{10}\cdot(y^2\sqrt{4}+\sqrt{8y})=(3\sqrt{10})(2y^2) +(3\sqrt{10})(\sqrt{8y})\\\\=6y^2\sqrt{10}+3\sqrt{80y}\\\\=6y^2\sqrt{10}+3\sqrt{(4^2)(5y)}\\\\=\boxed{6y^2\sqrt{10}+12\sqrt{5y}}\qquad\text{matches the first choice}[/tex]
Answer:
a
Step-by-step explanation: