We have the following:
The equation has the following form
\(y=mx+b\)where m is the slope and b is y-intercept
The slope formula is as follows
\(m=\frac{y_2-y_1}{x_2-x_1}\)The point are (-4, 8) and (6, -4)
replacing:
\(m=\frac{-4-8}{6-(-4)}=\frac{-12}{10}=-\frac{6}{5}\)In the graph we can see that the y-intercept is equal to 4, therefore, the equation would be
\(y=-\frac{6}{5}x+4\)A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected? A).30 B).33 C).40 D).60
Answer:
D:60
Step-by-step explanation:
At the opening of a new movie 45% of the people in the theater were children.There were 187 adults were in the theater.What was the total number of people at the movie?
The number of people at the movie is 340
How to determine the number of people at the movieLet's represent the total number people at the movie as "x".
We know that the number of adults in the movie is 187 and the percentage of children is 45%
So we can write:
187 = (1 - 45%) * x
This gives
187 = 0.55x
To solve for x, we can divide both sides by 0.55:
x = 187/0,55
Evaluate
x = 340
Hence, the number of people is 340
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In the figure, ABCD and DEFG are squares. AC:FD=7:5, find CE(English isn't my native language. Please correct me if I have any grammatical mistakes.)
The diagonal ratio is given AC:FD=7:5.
The length of AG is 3cm.
ExplanationTo find CE.
The diagonals ratio is same as the side of square ratio.
Reason-
The diagonals are the square root of 2 multiply by side.
\(D=\sqrt{2}S\)D denotes the diagonal and S denote the side, of suare.
So, the ratio of diagonal is same as the ratio of sides of square.
\(\frac{D}{d}=\frac{S}{s}\)Here D and d denotes the diagonal of the squares and s and S is the sides of squares.
Let AD = 7x , GD = 5x
\(\begin{gathered} AG=AD-GD \\ 3=7x-5x \\ 3=2x \\ x=1.5 \end{gathered}\)Now find the length of CE,
\(\begin{gathered} CE=CD+DE \\ CE=7x+5x \\ CE=12x \end{gathered}\)Substitute the value of x in the CE.
\(\begin{gathered} CE=12\times1.5 \\ CE=18cm \end{gathered}\)AnswerHence thelenghth CE is 18cm.
Al abrir su alcancía Beatriz encontró que entre monedas de 5, 10 y 25 centavos completaba $ 9.50. Encontró igualmente que el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos. ¿Cuántas monedas de cada denominación había en la alcancía?}
Answer:
67 monedas de 5, 34 de 10 y 11 de 25.
Step-by-step explanation:
Representemos el primer enunciado de manera algebraica:
\(5x+10y+25z =950\) (1)
Donde:
x es el numero de monedas de 5y es el numero de monedas de 10 z es el numero de monedas de 25Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:
\(y=3z\) (2)
\(x=2y\) (3)
Combinado las eacuaciones (1), (2) y (3) tenemos:
\(5(2y)+10y+25(\frac{y}{3}) =950\)
\(10y+10y+\frac{25}{3}y =950\)
\(\frac{85}{3}y =950\)
\(y =34\)
Por lo tanto el valor de x y z seran:
\(x=2(34)\)
\(x=68\)
\(z=11\)
Si ponemos cada valor en la equacion (1), tenemos:
\(5(68)+10(34)+25(11) =955\)
Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.
x = 67
y = 34
z = 11
Espero te haya serrvido!
how do i get it to stop making me watch a ad.
Answer:
Brainly Plus.
Step-by-step explanation:
You have to pay money. Otherwise, I don't think you can.
Maybe you could try just installing a bunch of ad-blockers.
But pretty much the only way is Brainly Plus.
F(x) = -5x-3
G(x) = 4X^2 -3
Find f(3) and g(5)
how do i do dis plsss
Answer:
1. All lines are straight and has no curves
2.one has equal lengths on opposite sides
The other is uneven on each side
Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
The lifespans of seals in a particular zoo are normally distributed. The average seal lives 13.8 years; the standard
deviation is 3.2 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a seal living less than 7.4 years.
Answer:
67.715
Step-by-step explanation:
(68 - 95 - 99.7%)
pamela ran 7/10 miles on tuesday and 3/8 mile on thursday. How much farther did she sun on tuesday ?
Answer:
she ran 0.325 more on tuesday then tursday
Step-by-step explanation:
because i know
show that the minimum polynomial of a block diagonal matrix B= [B11 0 0 B22] is the least common multiple of the minimum polynomials of the diagonal blocks.
To show that the minimum polynomial of a block diagonal matrix B = [B11 0 0 B22] is the least common multiple of the minimum polynomials of the diagonal blocks, we can start by defining the minimum polynomial of a matrix A as the monic polynomial of smallest degree that satisfies the equation A^k = 0, where k is a positive integer.
Now, let's consider the block diagonal matrix B = [B11 0 0 B22], where B11 and B22 are the diagonal blocks. If we take the matrix power of B, we can express it as follows:
B^2 = [B11 0 0 B22] * [B11 0 0 B22] = [B11B11 0 0 B22B22]
B^3 = [B11 0 0 B22] * [B11B11 0 0 B22B22] = [B11B11B11 0 0 B22B22B22]
and so on.
From this, we can see that the matrix powers of B will always have the form [B11^k 0 0 B22^k], where k is a positive integer. This means that the minimum polynomial of B must be a polynomial that satisfies the equation [B11^k 0 0 B22^k] = 0 for some positive integer k.
Since the minimum polynomial of B11 and the minimum polynomial of B22 are the polynomials that satisfy the equations B11^k = 0 and B22^k = 0, respectively, it follows that the minimum polynomial of B must be a polynomial that satisfies both of these equations simultaneously. In other words, the minimum polynomial of B must be the least common multiple of the minimum polynomials of B11 and B22.
Therefore, we have shown that the minimum polynomial of a block diagonal matrix B = [B11 0 0 B22] is the least common multiple of the minimum polynomials of the diagonal blocks.
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Which system of equations can be used to find the roots of the equation 4 x squared = x cubed + 2 x?
Answer:
The exact Value: x=0
The function operation: 4xsquared = x = x =
2 x = x =
Step-By-Step:
Answer:
D: y= 4x^2
y= x^3+2x
Step-by-step explanation:
let me know if right or wrong
Ensuring that there are NO Parenthesis or other groupings and NO Like Terms represents the process for _____________________.
A, simplifying an expression.
B,using substitution to solve an expression.
C,converting a fraction to a decimal.
D,comparing rational numbers.
Find E(X) and Var(X) for a continuous random variable X with a pdf f(x) = 4x³,0 < x < 1.
Simply multiply each value of the discrete random variable by the probability associated with that value to obtain the expected value, E(X), or mean. E(X)=xP is the formula's notation (x).
How do you find ex and Var X?It is common to refer to the long-term average or mean (symbolized as ) as the expected value of a discrete random variable X, denoted by the symbol E(X). Thus, if you conducted an experiment again throughout time, you could anticipate this average result. If you toss three fair coins, for instance, let X be the number of heads you receive. The expected value of X is the average number of heads you would anticipate receiving after three fair coin tosses if you were to perform this experiment a significant number of times.f(x) = 4x³,0 < x < 1
Domain of f(x) = 4x³,0 < x < 1 : Solution : 0 < x < 1
Interval notation : (0,1)
Range of 4x³ ,0 < x < 1;
Solution : 0 < f(x) < 4
Interval Notation : (0,4)
Axis interception points of 4x³,0 <x <1.
Asymptotes of 4x³. 0 < x < 1;
Extreme Points of 4x³ . 0<x < 1:
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Please help with geometry question finding perimeter of triangle
Step-by-step explanation:
perimeter means to add all sides
SO
perimeter of triangle is
QR+QP+RP
SO
= 63+70+47
=180
Answer:
perimeter= 180
Step-by-step explanation:
Add 63+70+47=180
63
70
47
+
---------
180
Joe works in a
cafe. He is paid a per hour. How much klage of $19.26 would 4 Joe earn for working a 35 low week
Answer:
To calculate how much Joe would earn for working a 35-hour week, you need to multiply his hourly wage by the number of hours he worked123. For example, if Joe is paid $19.26 per hour, then his weekly pay is:
$19.26 x 35 = $673.10
This is his gross pay, which means it does not include any deductions for taxes or other benefits. His net pay, or take-home pay, may be lower depending on his filing status, allowances, withholding information and voluntary deductions1. You can use an hourly paycheck calculator to estimate his net pay1.
I hope this helps you understand how to calculate hourly pay. If you have any other questions, please let me know.
|x-5|=7 please help me with this
Answer: X = 12, -2
Step-by-step explanation:
Answer:
x=12
or x= -2
Step-by-step explanation:
|X-5|=7
X-5=7
or -x+5=7
x=12
or x= -2
7. Solve the absolute value equation or indicate that the equation has no solution
|6-5/6x| - 4 = 9
Answer:x
Step-by-step explanation:
chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
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What is the least common multiple (LCM) that could be
used to find a common denominator for the fractions
and
o 2
8
0 12
Answer:
the greatest common factor will be 3
questions c, d, e please!
Answer:
c) 3 units
d) g(x) - f(x) = x² + 2x
e) (-∞, -2] ∪ [0, ∞)
Step-by-step explanation:
Part (c)To calculate the length of FC, first find the coordinates of point C.
The y-value of point C is zero since this is where the function f(x) intercepts the x-axis. Therefore, set f(x) to zero and solve for x:
\(\implies 1-x^2=0\)
\(\implies x^2=1\)
\(\implies \sqrt{x^2}=\sqrt{1}\)
\(\implies x= \pm 1\)
As point C has a positive x-value, C = (1, 0).
To find point F, substitute the x-value of point C into g(x):
\(\implies g(1)=2(1)+1=3\)
⇒ F = (1, 3).
Length FC is the difference in the y-value of points C and F:
\(\begin{aligned} \implies \sf FC& = \sf y_F-y_C\\ & = \sf 3-0\\ & =\sf 3\:units \end{aligned}\)
Part (d)Given functions:
\(\begin{cases}f(x)=1-x^2\\ g(x)=2x+1 \end{cases}\)
Therefore:
\(\begin{aligned}\implies g(x)-f(x) & = (2x+1) - (1-x^2)\\& = 2x+1-1+x^2\\& = x^2+2x\end{aligned}\)
Part (e)The values of x for which g(x) ≥ f(x) are where the line of g(x) is above the curve of f(x):
point A → ∞point E → -∞Point A is the y-intercept of both functions, therefore the x-value of point A is 0.
To find the x-value of point E, equate the two functions and solve for x:
\(\begin{aligned}g(x) & = f(x)\\\implies 2x+1 & = 1-x^2\\x^2+2x & = 0\\x(x+2) & = 0\\\implies x & = 0, -2\end{aligned}\)
As the x-value of point E is negative ⇒ x = -2.
Therefore, the values of x for which g(x) ≥ f(x) are:
Solution: x ≤ -2 or x ≥ 0Interval notation: (-∞, -2] ∪ [0, ∞)Answer:
a)
A = (0, 1)
B = (-1, 0)
C = (1, 0)
D = (-0.5, 0)
b) E = (-2, -3)
c) FC = 3 units
d) x² + 2x
e) x ≤ -2 and x ≥ 0
Explanation:
This question displays one equation of a linear function g(x) = 2x + 1 and a parabolic function f(x) = 1 - x².
a)
A point is where the linear function cuts the y axis.
y = 1 - (0)²
y = 1
A = (0, 1)
B and C point is where the parabolic function cuts the x axis.
1 - x² = 0
-x² = -1
x² = 1
x = ±√1
x = -1, 1
B = (-1, 0), C = (1, 0)
D point is where the linear function cuts x axis.
2x + 1 = 0
2x = -1
x = -1/2 or -0.5
D = (-0.5, 0)
b)
E point is where both equations intersect each other.
y = y
2x + 1 = 1 - x²
x² + 2x = 0
x(x + 2) = 0
x = 0, x = -2
y = 1, y = -3
E = (-2, -3)
c)
C : (1, 0)
To find F point
y = 2(1) + 1
y = 3
F : (1, 3)
\(\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
\(\sf d = \sqrt{(1 - 1)^2 + (3 - 0)^2}\)
\(\sf d = \sqrt{0 + 3^2}\)
\(\sf d = 3\)
FC length = 3 units
d)
g(x) - f(x)
(2x + 1) - (1 - x²)
2x + 1 - 1 + x²
x² + 2x
e)
g(x) ≥ f(x)
2x + 1 ≥ 1 - x²
x² + 2x ≥ 0
x(x + 2) ≥ 0
\(\boxed{If \ x \ \geq \ \pm \ a \ then \ -a \ \leq x \ \ and \ x \ \geq \ a }\)
x ≤ -2 and x ≥ 0
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT
Answer: E
Step-by-step explanation:
Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
what is equivalent to 1/2+1/6
Answer:
4/6 or 2/3.
Step-by-step explanation:
You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.
Given parallelogram ABCD, angle D = 4x + 4, and angle C = 6x + 6, find angle A. (Please note, canvas is broken so I had to rewrite it.)
Explanation
\(\begin{gathered} m\angle D=4x+4 \\ m\angle C=6x+6 \\ m\angle A? \end{gathered}\)
Step 1
A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal
\(m\angle A=m\angle C\rightarrow equation(1)\)Also,the sum of any two adjacent angles of a parallelogram is equal to 180°
\(\begin{gathered} \text{blue angle(1)+yellow angle(2)}=180 \\ m\angle D+m\angle C=180\rightarrow equation(2) \\ \text{replace} \\ (4x+4)+(6x+6)=180 \\ 10x+10=180 \\ \text{subtract 10 in both sides} \\ 10x+10-10=180-10 \\ 10x=170 \\ \text{divide both sides by 10} \\ \frac{10x}{10}=\frac{170}{10} \\ x=17 \end{gathered}\)Step 2
use the equation(1) to find angle A
\(\begin{gathered} m\angle A=m\angle C\rightarrow equation(1) \\ \text{replace} \\ m\angle A=6x+6 \\ \text{replace the x value} \\ m\angle A=6\cdot17+6=102+6 \\ m\angle A=108 \end{gathered}\)I hope this helps you
16x²- 40x - 24can someone please help me solve this step by step im struggling
laurenhemmo14, this is the solution:
16x²- 40x - 24
16x²- 40x - 24 = 0
we can simplify it dividing by 4
4x²- 10x - 6 = 0
And now we can use the quadratic equation, this way:
x = 10 +/- (√(-10²) - 4 * 4 * -6)/2 * 4
x = 10 +/- (√100 - -96)/8
x = 10 +/- √196/8
x = 10 +/- 14/8
x1 = 10 + 14/8 = 24/8
x1 = 3
x2 = 10 - 14/8 = -4/8
x2 = -0.5
The solutions are (-0.5, 3)
Convert the following fraction to a percent: 14/25
Answer:
56% I believe
Step-by-step explanation:
I need to know [35 - (8 + 2) x 3]
Q) [35 - (8 + 2) × 3] = ?
→ 35 - {(8 + 2) × 3}
→ 35 - {10 × 3}
→ 35 - 30
→ 5 is the correct answer.
811570 rounded to nearest hundred thousand
Answer:
800,000
Step-by-step explanation:
8 is in the hundred thousands, 1 is in the ten thousands, 1 is in the thousands, 5 is in the hundreds, 7 is in the tens, 0 is in the ones place
It rounds down as its nowhere near 900,000 which changes all its digits.