Answer:
b,b.a
Step-by-step explanation:
What is the value of x? Show work.
Answer:
x=5
Step-by-step explanation:
This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:
12+40=2(8x+10)
12+40=16x+20
20=4x
x=5
Can someone help me with this math homework please!
The distance traveled depends on the amount of time Marlene rides her bike
The function f(t) = 16t represents the scenario
Answer:
options (2), (3) and (5)
Step-by-step explanation:
2.
the distance traveled depends upon the amount of time she rides her bike.
as she travels 16 miles in 1 hr. she'll ride 32 miles in 2 hrs. so all values of distance traveled by her depends upon the time she takes.
3.
yes the initial is 16 miles per hour as the output of 1hr will be 16 and that's what the initial value is 16 miles for one hour. or 16 miles per hour.
5.
f(t) = 16t represents the scenario
where f(t) will be the output of the function that is d, distance when the output is t that is time.
Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.
Answer:
Hey, could you please add the number line to the question too
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm
Answer:
B=30mm
Step-by-step explanation:
According to the Question,
we have, A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.
The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.
Therefore, A/C = D/B
5/10 = 15/B
B=150/5
B=30mm
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Let integers be x and x-1
ATQ
x+x-1=1[tex]\\ \sf\longmapsto 2x-1=1[/tex]
[tex]\\ \sf\longmapsto 2x=1+1[/tex]
[tex]\\ \sf\longmapsto 2x+2[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Now
[tex]\\ \sf\longmapsto x-1=1-1=0[/tex]
The integers are 1 and 0But
Integers can be x and 1-x as their sum is 1
[tex]\\ \sf\longmapsto x(1-x)=-12[/tex]
[tex]\\ \sf\longmapsto x- x^2=-12[/tex]
[tex]\\ \sf\longmapsto x^2-x-12=0[/tex]
[tex]\\ \sf\longmapsto x^2-4x+3x-12=0[/tex]
[tex]\\ \sf\longmapsto x(x-4)+3(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (x-4)(x+3)=0[/tex]
[tex]\\ \sf\longmapsto x=4,-3[/tex]
The x- intercepts of a parabola are (0,-6) and (0,4). The parabola crosses the y- axis at -120. Lucas said that an equation for the parabola is y=5x^2+10x-120 and that the coordinates of the vertex are (-1, -125). Do you agree or disagree? List why?
Given:
The x- intercepts of a parabola are (0,-6) and (0,4).
The parabola crosses the y- axis at -120.
Lucas said that an equation for the parabola is [tex]y=5x^2+10x-120[/tex] and that the coordinates of the vertex are (-1, -125).
To find:
Whether Lucas is correct or not.
Solution:
The x- intercepts of a parabola are (0,-6) and (0,4). It means (x+6) and (x-4) are the factors of the equation of the parabola.
[tex]y=a(x+6)(x-4)[/tex] ...(i)
The parabola crosses the y- axis at -120. It means the equation of the parabola must be true for (0,-120).
[tex]-120=a(0+6)(0-4)[/tex]
[tex]-120=a(6)(-4)[/tex]
[tex]-120=-24a[/tex]
Divide both sides by -24.
[tex]\dfrac{-120}{-24}=a[/tex]
[tex]5=a[/tex]
Substituting [tex]a=5[/tex] in (i), we get
[tex]y=5(x+6)(x-4)[/tex]
[tex]y=5(x^2+6x-4x-24)[/tex]
[tex]y=5(x^2+2x-24)[/tex]
[tex]y=5x^2+10x-120[/tex]
So, the equation of the parabola is [tex]y=5x^2+10x-120[/tex].
The vertex of a parabola [tex]f(x)=ax^2+bx+c[/tex] is:
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
In the equation of the parabola, [tex]a=5,b=10,c=-120[/tex].
[tex]-\dfrac{b}{2a}=-\dfrac{10}{2(5)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{10}{10}[/tex]
[tex]-\dfrac{b}{2a}=-1[/tex]
Putting [tex]x=-1[/tex] in the equation of the parabola, we get
[tex]y=5(-1)^2+10(-1)-120[/tex]
[tex]y=5-10-120[/tex]
[tex]y=-125[/tex]
So, the vertex of the parabola is at point (-1,-125).
Therefore, Lucas is correct.
What is the domain of the function on the graph?
•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0
Answer:
all real numbers
Step-by-step explanation:
got it right
Answer:
A
Step-by-step explanation:
it is all real numbers
brainiest please
P and Q are points on the line 3y - 4x = 12
a Complete the coordinates of P and Q.
P(0, 1) Q(,0)
Answer:
Step-by-step explanation:
Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.
Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:
3(0) - 4x = 12 and
-4x = 12 so
x = -3
-x/8-11=12
/ means fraction
Answer:
Step-by-step explanation:
-x/8=12+11=23
-x=23*8=184
x=-184
x=-184Answer:
Step-by-step explanation:
Cindy is hosting a potluck dinner for her book club. The more book club members who attend, the more chairs she will need. m = the number of members who attend the potluck c = the number of chairs Cindy will need Which of the variables is independent and which is dependent? A. c is the independent variable and m is the dependent variable B. m is the independent variable and c is the dependent variable
Answer:
B.
Step-by-step explanation:
m is the driving number in this system of numbers. whatever its value, all the others need to adjust to it.
c depends fully on m. if and when m increases, then also c has to increase.
Additional Mathematics
Answer:
a = 1000, p = 10
Step-by-step explanation:
Given
y = - 3lg x + lg a
in the form y = mx + c ( m is the slope and c the y- intercept )
From the graph
(a)
c = 3 , then
lg a = 3 , that is
a = 10³ = 1000
(b)
Replace x by p and y = 0 in the equation
0 = - 3lg p + 3 ( subtract 3 from both sides )
- 3 = - 3lg p ( divide both sides by - 3 )
1 = lg p
p = 10 [ [tex]log_{10}[/tex] 10 = 1 ]
2.
B. Melody had $25 and withdrew $300 from his bank account. She bought a pair of trousers for $30.00, 2 shirts for
$19.00 each, and 2 pairs of shoes for $40.00 each. Give the final expression, and determine how much money Mel had
at the end of the shopping day.
Answer:
25 + 300 = 325
trousers: spent 30 (a pair of trousers = one unity of trousers)
shirts: spent 19 x 2 = 38
shoes: spent 40 x 2 = 80
80 + 38 + 30 = 148
325 - 148 = 177
She had $177,00 left.
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
3. Find the volume of the figure. Simplify.
Cube
x + 4
Answer:
[see below]
Step-by-step explanation:
V = s^3
V = (x+4)^3
V = x^3 + 3x^2 * 4 + 3x * 4^2 + 4^3
V = x^3 + 12x^2 + 48x + 64
Hope this helps.
helppp plzzz right nowwwwwwww
Answer:
They are parallel so also -4/3
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
AD = 6, DC = 8, find DB
Answer:
10
Step-by-step explanation:
use a^2+b^2=c^2
6^2+8^2=c^2
100=c^2
sqrt it and you get 10 for AC and AC=DB
Answer:
according to Pythagoras theorem, c²=a²+b²
|AC|²=|AD|²+|DC|²
|AC|²=6²+8²
|AC|²=36+64
|AC|²=100
√|AC|²=√100
|AC|=10
Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ?
Answer:
$28
Step-by-step explanation:
Answer:
6=$3
5=$2
6x3=18
5x2=10
18+10= 28
=$28
Step-by-step explanation:
How long is JK?
Choose 1 answer:
A: 3
B: 2 square root 3
C: 3 square root 3
D: 6
E: 9
Answer:
C) 3 times the sq root of 3
Step-by-step explanation:
In a right angle triangle, the COS is definned as the ajacent side over the hypotenuse. So
COS 60 = JK/JL
COS 60 = JK/(6*sq root 3)
.5 = JK/(6*3**1/2)
JK = .5 *(6*3**1/2)
JK = 3*3**1/2
plz help ASAP with explanation
Answer:
19.5 cm
Step-by-step explanation:
the remaining height = 1200 /(12×8)
= 1200/96 = 12.5 cm
so, the height of the tank = 7+ 12.5 = 19.5 cm
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
What is the volume of the sphere in terms of pi?
V=
6 in.
Answer:
= 288π in2
Step-by-step explanation:
Volume of a sphere is given by;
V =(4/3)πr3
V = volume
r is radius
Therefore V = {(4/3) × π × (6^3)} in3
= 288π in2
Complete the steps to solve the inequality:
0.2(x + 20) – 3 > –7 – 6.2x
Use the distributive property:
Combine like terms:
Use the addition property of inequality:
Use the subtraction property of inequality:
Use the division property of inequality:
0.2x + 4 – 3 > –7 – 6.2x
0.2x + 1 > –7 – 6.2x
6.4x + 1 > –7
6.4x > –8
Answer:
x>-1.25
Step-by-step explanation:
0.2x+4-3>-7-6.2x
0.2x+1>-7-6.2x
0.2x+6.2x>-7-1
6.4x>-8
x>-1.25
or x>-5/4,x>-1 1/4, xE(-1.25, infinite)
The solution to the inequality is x > -1.25.
The complete steps are:
the distributive property: 0.2x+4-3>-7-6.2x
Combine like terms: 0.2x+1>-7-6.2x
the addition property of inequality: 0.2x+6.2x +1 >-7 => 6.4x + 1 > –7
the subtraction property of inequality: 6.4x > -7 - 1 => 6.4x>-8
the division property of inequality: (6.4x)/6.4 > (-8)/6.4 => x>-1.25
Here, we have,
To solve the inequality 0.2(x + 20) - 3 > -7 - 6.2x,
let's go through the steps:
Step 1: Use the distributive property:
0.2x + 4 - 3 > -7 - 6.2x
Step 2: Combine like terms:
0.2x + 1 > -7 - 6.2x
Step 3: Use the addition property of inequality:
0.2x + 1 + 6.2x > -7
6.4x + 1 > -7
Step 4: Use the subtraction property of inequality:
6.4x > -7 - 1
6.4x > -8
Step 5: Use the division property of inequality:
Divide both sides of the inequality by 6.4 to isolate x:
(6.4x)/6.4 > (-8)/6.4
x > -8/6.4
Simplifying further, we have:
x > -1.25
Therefore, the solution to the inequality is x > -1.25.
To learn more on inequality click:
https://brainly.com/question/28841069
#SPJ5
If f(-x) = 0, what is x?
O only
-6 only
-2,1, or 3 only
-6,-2, 1, or 3 only
Answer:
3rd option
Step-by-step explanation:
f(x) = 0 are the points on the x- axis where the graph crosses, the zeros
The graph crosses the x- axis at - 2 , 1 and 3
Help pls it’s the last day of summer school
Why did U.S. leaders decide to create the Federal Reserve?
A. Economic panics showed that the banking system was not stable.
B. The United States needed to have a single type of currency.
C. Small banks requested additional government oversight.
D. State banks needed the power to create their own currencies.
Answer:
A
Step-by-step explanation:
A central bank was needed to oversee monetary policy
Answer:A
Step-by-step explanation:
I did the test
Someone help me please if you don’t mind
Answer:
Multiply to -63
and add to -2
Step-by-step explanation:
I'm a genius.
Answer:
(x - 9)(x + 7)
Step-by-step explanation:
Given
x² - 2x - 63
Consider the factors of the constant term (- 63) which sum to give the coefficient of the x- term, that is
numbers that multiply to give - 63 and add to give - 2
The factors are - 9 and + 7 , since
- 9 × 7 = - 63 and - 9 + 7 = - 2 , then
x² - 2x - 63 = (x - 9)(x + 7) ← in factored form
If an object looks the same
Answer:
I don't understand your question.............!
Step-by-step explanation:
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.
The side length of the cube is 5 cm. Find the volume of the cube.
Answer:
125 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
a = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³Evaluate exponents: V = 125 cm³Answer:
[tex]\huge\boxed{V=125cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cube with edge [tex]a[/tex]:
[tex]V=a^3[/tex]
We have [tex]a=5cm[/tex].
Therefore the volume is:
[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]
In AJKL, mZJ = (8x + 6)", mZK = (2x + 2)°, and młL = (4x + 4)º. Find m_L.
Answer:
Step-by-step explanation:
∠J + ∠K + ∠L = 180 {Angle sum property of triangle}
8x + 6 + 2x + 2 + 4x + 4 = 180
8x + 2x + 8x + 6 + 2 + 4 = 180
Combine like terms.
14x + 12 = 180
Subtract 12 form both sides
14x = 180 - 12
14x = 168
Divide both sides by 14
x = 168/14
x = 12
∠L = 4x + 4
= 4*12 + 4
= 48 + 4
∠L = 52